MICROFOCUSING SOURCE AND MULTILAYER OPTICS BASED X- RAY DIFFRACTION SYSTEMS

Size: px
Start display at page:

Download "MICROFOCUSING SOURCE AND MULTILAYER OPTICS BASED X- RAY DIFFRACTION SYSTEMS"

Transcription

1 THE RIGAKU JOURNAL VOL. 19 / NO.1 / 2002 MICROFOCUSING SOURCE AND MULTILAYER OPTICS BASED X- RAY DIFFRACTION SYSTEMS BORIS VERMAN, LICAI JIANG AND BONGLEA KIM Osmic, Inc., 1900 Taylor Rd., Auburn Hills, Michigan, 48362, USA 1. Introduction X-ray diffraction is an important method for investigating the material structure. Most of the diffraction methods require an incident beam with well-defined spatial configuration and spectrum purity. The beam size at the sample position should be comparable to the sample size. A small beam spot at detector position is always desired. Some applications, such as powder diffraction, reflectometry, thin film measurements and high resolution diffractometry require well-defined beam in one plane (diffraction plane) and tolerate a much larger beam divergence in the other plane (perpendicular or axial plane). Other applications, such as a protein crystallography, small/macro molecule crystallography or micro-diffraction, require a well-defined beam in the both planes, and commonly use area detectors to collect diffracted X-rays in two dimensions. Multilayer Kirkpatrick-Baez side-by-side optics, so called CMF optics [1], have been the best optical systems in approaching these requirements and have been applied to many applications, especially to protein crystallography. A typical system includes a rotating anode generator, a CMF optic with two elliptical mirrors, a pinhole collimator before the sample of interest to cut unused beam, and an area detector. The focal spot of the X-ray source is positioned at one focus of the optic. X- rays are reflected by both mirrors before reaching the second focus, and diverge after reaching the second focus. Sample position is between the optic and its second focus, typically closer to the focus. An area detector is either at or behind the focus. Although the beam spot is larger when the detector is behind the focus, the longer distance between the sample and the detector within certain range usually yields a smaller angular width of the spot on the detector, i.e. better resolution. We use ray-tracing simulation to optimize an optical system for a particular source and a specific set of requirements from a specific application [2]. A major subject of optimization is to find maximum flux for a given detection capability. For a protein diffraction system, this detection capability is often described as the maximum unit cell size that can be resolved with a certain detector performance, such as the pixel size and the spreading function. This approach has been proven to be a reliable way to predict the performance of a diffraction system. However, the ray tracing method in general reveals the system performance in terms of a series of performance parameters. Ray tracing method is not a very convenient way in understanding the relations among different parts of a system, identifying a key issue of a system, revealing some major tendencies and limitations in a system design. It has also been proven that the simple geometrical method is often a very effective way in the performance comparison among a variety of system configurations, such as with different X-ray sources and different optical configurations. 2. Geometrical Analysis of the System Efficiency A simplified sketch of an X-ray diffraction system with an X-ray optic is shown in Fig. 1. Let us assume that the lens in this system is an ideal X-ray lens similar to a lens for visible light. This means that the lens has 100% efficiency and a larger enough capture angle (numerical aperture) and does not have any aberration. The sizes of the object and image, capture ang1e and convergent angle are bond by the following formula: α D f = = 2 (1) γ F f 1 where α is the capture angle, γ is the convergent angle, D is the diameter of the pre-sample pinhole, 4 The Rigaku Journal

2 F is the area of the focal spot from where X-rays fall into pre-sample pinhole, f 1 is the distance between the source and the lens and f 2 is the distance between lens and the image. Two common limitations exist for the considered X-ray diffraction system. The pre-sample pinhole size is predefined (because the sample is small) and the beam convergence is limited. We will use below γ=3 mrad and D=0.3 mm as an example of the typical (for protein crystallography) requirements for the estimations. If we assume a uniform intensity distribution over the focal spot f of the X-ray tube and a symmetric intensity distribution in two perpendicular planes, we can calculate the flux through the presample pinhole by the following: Φ 0 P F α Φ 0 P D γ Φ = = (2) 2 2 U e f U e f where Φ 0 is quantity of characteristic photons emitted from the X-ray tube target per electron in a unit solid angle, P is X-ray tube power, U is the voltage applied to the X-ray tube and e is the charge of electron. The term P/(U e f 2 ) describes quantity of electrons hit the unit area of the target per second. Several different methods have been developed for the calculation of Φ 0 with the quantitative microanalysis. The value photons per electron is in good agreement with our measurements for Cu Ka radiation at 6 degrees of takeoff angle and 50 kv accelerating voltage. The term Φ 0 x P/(U e f 2 ) is the source brilliance B or the quantity of the photons irradiated from the unit target area within the unit solid angle per second. The right hand side of Eq. (2) was obtained by using Eq. (1). One distinction of the right hand side of Eq. (2) is that the optical parameters are not presented. This is because it is assumed that F < f and the lens is ideal X-ray lens under two limitations of D and γ. Only a few variables remain in Eq. (2) for the flux optimization. Usually, the voltage on X-ray tube is near to optimal for copper or softer characteristic radiations, and below optimal for heavier targets. But it is limited by the X-ray tube and power supply design and there would be no a huge improvement with the higher voltage even for silver characteristic radiations, the hardest in the laboratory diffractometers. The power loading P/f 2 is worthy of more discussion. Two types of X-ray tubes are well known and are widely used: stationary target X-ray tube (usually called sealed tube) and rotating anode X-ray tube. An effectively increased target surface caused by a high-speed anode rotation under electron beam illumination allows a significant increase of power loading for the rotating anode X- ray tube. The power loading is limited by the target overheating in both types of the tubes. The maximum power loading was calculated in reference [3] with the assumption that the maximum target temperature is equal to the target melting temperature. The direct experimental testing of the target melting under an electron beam supports this prediction [3,4]. The maximum power loading for a specific target material depends on the focal spot size and shape. A smaller focal spot allows a higher power Vol. 19 No

3 loading because of the better heat dissipation conditions. The power loading does not grow with the focal spot elongation, but total power increases. An elongated focal spot can be seen as a symmetrical spot at a shallow takeoff angle with an increased brilliance. This feature is used in the most of X-ray system with the typical takeoff angle of 6 degrees. We will consider this takeoff angle and the focal spot aspect ratio 10 to 1 (the length to the width) in the further discussions. The brilliance, calculated on the base of permissible power load, is presented in Fig. 2 (solid lines) as the functions of the effective focal spot size for both kinds of X-ray tubes. The permissible power loading (and source brilliance correspondingly) increases about 30 times for the rotating anode X-ray tubes and about 500 times for the sealed X-ray tubes in the considered focal spot width range extending from 1 micrometer to 1 millimeter. The brilliance from rotating anode X- ray tubes can be several times higher compared to the sealed X-ray tubes (especially with a higher speed of the target rotation) even with a small focal spot. The maximum power loading and the respectively brilliance of a real X-ray tubes are some what lower than the theoretical predictions. A few examples, based on manufacturers specifications are shown in Fig. 2 as single dots for both types of X-ray tubes. These examples are limited to the X- ray tubes with the focal spot with the aspect ratio of 10: 1. More examples are given in Table 1 with variety of the aspect ratios. Most of the X-ray tubes are loaded at 40 to 70 percents of the calculated power. This suggests that another limitation for the maximum power loading may exist. We investigated the microfocusing X-ray tubes presented at line 7 and line 8 in Table 1 and observed an intensity decrease with time with the rate of about 0.02% per hour at the conditions shown in the table. A ten percent increase of power loading will accelerate this degradation rate dramatically. Also, it is well known that the target surface of the rotating anode X-ray tube is required to be re-polished at regular time intervals and the electron beam track is visible before repolishing. Both facts evidence that something is changing on the target with the working time. Some types of chemical reactions are possible between the target material and residual gases in the tube at high temperature and high level of ionization, which are typical target working conditions. The investigation of the physical and chemical properties of the electron beam track on the target surfaces may shed light on about the mechanism of the target degradation and, possi- # Power e-beam incident angle Table 1. X-ray tubes power loading and brilliance. Focal spot Takeoff Target Power loading Length Width angle speed real Calculated relative Brilliance kw degrees mm mm degress M/sec kw/mm 2 kw/mm 2 kw/mm 2 photons sec mm 2 mrad 2 Rotating anode x-ray tubes E E E E E E E+10 Stationary target x-ray tubes E E E E E E E+09 6 The Rigaku Journal

4 Vol. 19 No

5 bly, the ways of increasing target lifetime. The best that we can expect is 30% to 50% gain in the X-ray tube brilliance. Both Fig. 2 and Table 1 suggest that a higher brilliance may be obtained with a smaller focal spot size. But there are some limitations in this attempt. It is known that electrons scatter inside the target. For an electron beam with a cross section of sub-micrometers, the effective area of the characteristic radiation generation may exceed the cross section of the electron beam itself. An estimation based on the model in reference [5] shows that the dimension of the excited X-ray generation volume by an electron at 50 kev is about 6.8 µm for CuK α radiation. The calculated volume includes some peripheral area, which provides an insignificant contribution to the X-ray intensity. We can expect much smaller FWHM of the generation area. An estimation of the effective depth of the X-ray generation on the base of Philibert's correction [6] gives the value of 1.5 µm. A lower electron energy results a smaller area of excitation. At the same time, it causes a lower efficiency of characteristic line production. This means that for a conventional X-ray beam production, when an electron beam hits a solid copper target, the maximum obtainable brilliance is at the level of 5x photons/(mm 2 x mrad 2 x s) for a stationary target. This can be several times higher for a rotating target. These numbers are about one order of magnitude higher than what is available now. It is assumed above that the focal spot size f is larger than the area of the target F from which photons pass the lens, then go through the pinhole D. Because the brilliance is higher for a smaller focal spot, we can let f = F for maximum flux. With this condition the expression for the flux is simplified greatly: F=B x γ 2 x D 2 (3) It is useful to discuss two features of multilayer optics. First, the multilayer is a wavelengthselective reflector, by utilizing Bragg's law. This important feature allows one to reduce continuous radiation and K β line from the original X-ray spectrum. But this feature leads to a limited range of the incident angles for a characteristic line reflection. A quantitative description of the multilayer angular acceptance is the width of its rocking curve. The rocking curve widths δθ of commonly used multilayers normally range from 0.01 degrees to 0.1 degrees for copper characteristic radiation. Equation (3) is valid if the rocking curve width is larger then the angular size of the pinhole φ: δθ > φ (as shown in Fig. 2). This condition must be checked before Eq. (3) is used. Second, it is convenient to discuss relative performances of focusing (elliptical) and collimating (parabolic) optics by using Fig. 1 and Eq. (3). In the case of the parabolic optic and parallel beam, the capture angle α=d/f 1 and the working area of the target F= φ x f 1 = D x f 1 /f 2. For the flux we have: Φ = B x D 4 /(f 2 ) 2 = B x D 2 x φ 2 (4) It can be seen from Eqs. (3) and (4) that the flux provided by a parabolic optic can not exceed the flux from an elliptical optic because γ = φ. The maximum value of φ is δθ. It means that, if the acceptable beam convergence is not very low, focusing optic may provide higher or significantly higher flux. 3. Calculation of Multilayer Optics Parameters The simple geometrical approach of the system description is helpful to conduct a preliminary design of a multilayer optic. Let us use the abovementioned example of the requirements to the system performances. In addition, let us assume that the distance from the optic to its second focus is equal to 500 mm and the d-spacing at the center of the optics is 30 Å. We can calculate the major optic parameters on the base of Eq. (1) for the various sizes of the X-ray tube focal spots, as shown in the top portion of Table 2. Several other parameters are also shown in Table 2: the mirror lengths, the d-spacing ranges, the ranges of the radius along the mirror surface. These parameters are calculated for the mirrors with elliptical surfaces and the center positions of the mirrors as defined above. Calculated mirror lengths provide the specified convergence angle. The capture angles may differ from the geometrical calculations because mirror surface with a variable curvature is extended along the beam path. The data in the table suggest several obvious tendencies. First, as the focal spot becomes smaller, the optic must be positioned closer to the focal spot. However, a larger d-spacing change and a larger radius change are needed. These 8 The Rigaku Journal

6 Table 2. Calculated optics parameters. Different configurations Geometrical calculations Parameter Expression Units F mm M D/F f 1 f 2 /M mm α γ*m mrad degrees L mirror mm d min Angstroms d max Angstroms R min mm R max mm Efficiency 6.45E E E E E-04 Flux photons/sec 8.22E E E E E+09 Ray-tracing simulations f 1 mm α degrees γ mrad L mirror mm d min Angstroms d max Angstroms R min mm R max mm Efficiency 1.19E-05 3/88E E-05 Flux photons/sec 4/58E E E+08 geometrical calculations ignore the real performances of multilayers and various technological limitations. Several specific features of multilayer optic need to be considered for the optimization of the optics performance and the system performance. The reflectivity of all the commonly used coatings drops quickly when d-spacing decreases below 30 Å [5] and is below 50% for a d-spacing of 15 Å. The width of the rocking curve (and angular acceptance accordingly) decreases nearly linearly as d-spacing decreases. Other technological complications appear for the optic for a small focal spot. The surface radius of an optic changes more rapidly and the ratio between the smallest and the largest radius on the mirror surface increases from 1.4 for the version 1 to 30 for the version 4. This makes the traditional method of surface formation not applicable to the versions 3 and 4. The gradient of d-spacing distribution grows quickly as well. The d-spacing distributions and their gradients are shown in Fig. 3 for all four versions of the Optics. The gradient for Optics 3 is slightly and for Optics 4 is significantly beyond of the current technological capabilities. One more specific feature of the versions 3 and 4 is that the distance from the focal spot to the closer end of the mirror is very short: 3.7 mm and 1 mm respectively. This not only requires a specific X-ray tube design, but also produces reflected beam with an ununiform beam intensity distribution as well. For the Optics version 3, for example, the distances from the focal spot to the closer and further ends of the mirror vary 8 times. This means that the beam intensity that strikes the different area of the mirror changes even more dramatically. This is the primary cause of ununiform intensity distribution of the reflected X-rays. By nature, a multilayer coating has a lower reflectivity and narrow rocking curve at lower d- spacing. Since the mirror surface near the source requires a larger incident angle (therefore a smaller d-spacing), reflected beam uniformity can be improved, but only partially. Finally, version 4 does not improve the system performances compared to the version 3, because of a low reflectivity and a narrow acceptance angle at the end of the optic closer to the source, and the ununiformity of intensity in the beam cross section. Vol. 19 No

7 The simple geometrical analysis above shows explicitly the problems arising from the design of an optic with a high brilliance X-ray source. This approach cannot suggest optimal solutions, but it helps to find a space of variables, from which an optimal solution could be found. The data in Table 2 show that an optimal system can be built on the base of the microfocusing source with effective focal spot in the range between 10 and 30 µm. The system optimization was done on the base of ray tracing simulations. 4. Optics Optimization by Ray-tracing Simulations We considered beam convergence γ, the pinhole diameter D and the position (the distance between optic and pinhole f 2 ) as given parameters, and the focal spot to optic distance f 1, optic d-spacing and length as variables. One constraint applied was that the reflected beam ununiformity must not exceed 50%. Results of such optimization for the focal spots of 0.03 mm and 0.01 are given in the bottom part of Table 2 as the version 2 and 3. Optimal optic parameters are similar to the geometrical calculation for the version 2. In contrast, optimal optic parameters differ greatly for the version 3. The major reasons for the difference were discussed above (low reflectivity and small acceptance angle at extremely low d- spacing, ununiformity of the mirror surface irradiation). Both versions of the system produce roughly the same flux, which supports the previous assumption that maximal flux may be obtained for the system with the focal spot in the range between 10 and 30 µm. Next step of the optimization had been performed with the focal spot size as one more variable. The results of this optimization are shown as version 5 in Table Examples of Applications 5.1. System for Protein Crystallography The beam requirements considered above as an example are typical for protein crystallography. The acceptable beam convergence angle γ ranges from 2 mrad for the system intended for large unit cells measurements to 5 mrad for the faster measurements of the structures with small and moderate unit cells. The above analysis had shown that for 3 mrad beam convergence, the effective focal spot size of 20 µm is close to optimum, and it was chosen as an initial value for the system design. The microfocusing sources from Bede Scientific Instruments provide required size of the focal spot. Major parameters of this type of source were presented at line 12 in Table 1. The system design differs from what was calculated as optimal optics design for this focal spot size. Several constraints and practical limitations were taken into account. First, the distance between the spot and the closer end of the optics cannot be less than 8 mm because of the source design. Additional requirements, such as room for gas sealed Optics housing with an X-ray shielding connection and a mechanism for the Optics alignment, extend this distance to about 20 mm. Second, optic design accommodates existing technological limitations: minimal optic radius is 1 m, minimal d-spacing is 15 Å and maximum gradient of d-spacing is 1 Å per millimeter. Optic ray-tracing optimization with these limitations gave the following optics parameters: the focal spot to optic distance f 1 =65 mm, the optic length I m =80 mm, d-spacing at the optic center d=35 Å, the distance from optic to pinhole f 2 =635 mm. System provides 1.5 x 10 8 photons per second at the sample position with the beam convergence of 2.9 mrad System for Small Molecule Crystallography We used convergence γ=3.7 mrad and presample pinhole diameter D=0.1 mm as the requirements to the beam for this application. This D is not a typical size of the crystal. Instead, it represents a common size of the small crystals. But we chose this value because precise focusing is possible with a microfocusing system and small crystals become more common as subjects of studies. Another state-of-the-art application is to use Mo characteristic radiation with λ=0.71 Å. This shorter wavelength is not favorable to the multilayer optic because the width of the rocking curve drops proportionally to the wavelength. The calculation and ray-tracing simulation similar to those described above for the protein crystallography system gave the optimal system parameters: focal spot effective size F=0.017 mm, the focal spot to the optic distance f 1 =57 mm, optics length I m =80 mm and central optic d-spacing d=34 Å for the optic to the presample pinhole distance f 2 =243 mm. The system design based on the available mi- 10 The Rigaku Journal

8 Table 3. System performances comparison for small molecule crystallography. System parameters Existing system Sealed tube with CMF Optics Microfocusing source with CMF Optics Sealed x-ray tube Sealed x-ray tube Microfocusing source Source 0.4 x 0.8 mm focal spot 0.4 x 0.4 mm focal spot x mm 6 degree takeoff angle 3 degree takeoff angle focal spot 2 kw power 2 kw power 30 W power Optics Graphite monochromator CMF CMF Flux through 0.1 mm sample (10 6 photons/s) Beam divergence for a 0.1 mm pinhole (mrad) 7.3 x Flux through 0.2 mm sample (10 6 photons/s) Beam divergence for a 0.2 mm pinhole (mrad) 5.1 x Flux through 0.3 mm sample (10 6 photons/s) Beam divergence for a 0.3 mm pinhole (mrad) 3.5 x crofocusing source with molybdenum target and accommodated the above-mentioned requirements to the source-optic coupling. Finally the system parameters are as the following: F=0.017 mm, f 1 =65 mm, I m =80 mm, central optic d-spacing d=35 Å for the optic to the pre-sample pinhole distance f 2 =235 mm. The experimental comparisons of the beam performances of several systems for small molecule diffractometry are given in Table 3. These results show that a system based on microfocusing source provides more flux for small samples compared to the systems based on the traditional sealed X-ray tubes. The first and the last system in Table 3 were compared with the collected data from the same crystal of cytidine with the dimensions of 0.05 mm x 0.05 mm x mm. The data quality obtained with microfocusing system is superior compared to the traditional system with 6 times longer of exposure time. One specific feature of the systems utilizing a convergence beam for the single crystal diffraction is their capability to provide adjustable trade between the flux and the angular size of the pattern (and maximal accessible unit cell correspondingly) [8]. This feature is important for both protein and small molecule crystallography system and is elucidated in Figs. 4 and 5. The best position for a small sample to obtain a maximum usable flux is at the narrowest beam cross section around optic focal plane. A larger sample may be placed closer to the optic (Fig. 5) to illuminate entire volume. The detector can be moved toward to the optic as well (keeping the same sample to detector distance), and closer to the optic focal plane. Smaller pattern sizes at the detector position provide a better angular resolution and a higher peak to background ratio. This is an important advantage of the systems with focusing optics. We incorporated an appropriate adjustability in the systems design. The position of microfocusing Vol. 19 No

9 source-optics unit may be easily adjusted relative to the sample and detector Small Angle Scattering System for Biomedical Applications A tiny and low divergence beam is extremely important for small angle scattering experiments. Two approaches are used commonly to shape the beam: systems with two and three pinholes, depends on the sample scattering power and angular scattering range. A two-pinhole camera provides higher flux, but background is higher due to parasitic scattering on the optics and the first and the second slits, with a significant contribution of the latter. Microfocusing source provides additional advantages in reducing this component of the background. This is owing to the better-defined shape of the beam. When the angular size of the source coincides with the angular acceptance of optic, intensity in the beam cross section drops quickly on the beam wings", Two-dimensional focusing multilayer optics coupled with microfocusing source provides converging beam with well defined cross section. A pinhole with a diameter that exceeds the beam cross section is hit with a low intensity beam and provides a lower scattering. The requirements to the beam for small angle scattering experiment cannot be defined as clearly as for protein crystallography. Because of this, the pinholes were included in the ray-tracing simulations. The optimization procedure was to search a reasonable trade between system efficiency and its resolution or its minimal accessible angle (for three pinhole system). The same microfocusing source (line 12 in Table 1) was used for this system. Optimal optic parameters are found as the following: the focal spot to optic distance f 1 =65 mm, the optic length I m =80 mm, d-spacing at the optics center d=45 Å, the multilayer coating type is Ni/C as it provides a higher reflectivity and narrower rocking curve for a better beam shaping. To assess the level of microfocusing system performances, the characteristics of several existing systems was evaluated by ray-tracing simulations. Some results, for a comparison of two pinhole systems, are given in Table 4. We consider a smaller beam width at the detector as an evidence of the system capability for providing improved performance for the low angle scattering measurements. One of the subjects of the microfocusing system testing is to prove that a better shaped beam scatters less on the second pinhole, and therefore provides lower background. We expect a more complicated alignment procedure of the system with a tiny shaped beam. To overcome this problem the system design incorporates a set of features for much easier alignment Micro-diffraction System We consider the beam convergence of γ=0.05 degrees=0.87 mrad and beam cross-section at the sample D=0.02 mm, as a typical set of requirements for the microdiffraction application. Considering above discussed physical limitations, an ideal X-ray tube with a stationary target coupled with an ideal X-ray optic may provide a flux of 1.5 x 10 7 photons per second with these beam condition according to Eq. (3). Taking into account a typical power underloading of the real X- ray tubes (coefficient 0.6), we came with the flux 9x10 6 photons per second. Even this optimistic prediction seems disappointing for many crystallographers, because this is lower than the expected flux that causes a long time of the sample studying. Table 4. Small angle scattering system performances. Parameter System Source type Rotating anode Rotating anode Microfocusing Effective focal spot size, mm X-ray tube power, kwatts Optics Parabolic Kirkpatrick-Baez CMF CMF Flux at the sample, photons/sec 1.7 x x x 10 8 Beam cross section at the sample, FWHM, mm Beam cross section at the detector, Level 0.1 of maximum, mm The Rigaku Journal

10 We believe, nevertheless, that a reasonable set of the requirements to the beam for this application may be found. It is encouraging that both geometrical calculation and ray tracing simulations predict a higher system efficiency (closer to the mentioned limit) than for other applications and without extreme requirements to the multilayer. Two versions of the system may be considered. The first provides beam with FWHM of 0.02 mm at the sample. The total flux is, in this case, 4.2 x 10 6 photons/sec. and the flux within the FWHM area is 3x10 6 photons/sec. The systems parameters of this version are: effective focal spot size F=2 micrometers, 6 degrees of takeoff angle, X-ray tube power of 3.5 Watts, the focal spot to the optic distance f 1 = 50 mm, mirror length I m = 21.8 mm, central d-spacing d= 42.5 Å, optic to the sample distance f 2 =450 mm. Another version assumes a pinhole before the sample. The flux trough the pinhole is slightly higher (F=4x10 6 ) and its intensity is more uniform. The system parameters are different from the previous version and are as the following: f 1 = 50 mm, I m =21.0 mm, d=41.6 Å. The optic parameters in both versions are in the range of a conventional CMF optic: the d- spacing range is 31 to 52 Å, the gradient of d- spacing does not exceed 0.8 Å per mm, the minimum radius is larger than 1.5 meters. Only one requirement is very stringent for this optics: the precision of the optic surface must be extremely high, at the level of 10 µrad in order to avoid the beam widening at the focal plane. This requirement is about one order of magnitude higher than the requirement imposed on conventional CMF optic, and the existing CMF technology can not achieve this. Few approaches to overcome this problem are under our considerations and testing. We believe that CMF optic is the most promising candidate as optic for micro-diffractometry because other kinds of optics have even severe limitations: multireflection single capillary or policapillary have a high beam divergence (above the glass critical total reflection angle); total reflection optics has a lower angular acceptance than multilayers; zone plate and refractive optics have limitations of short focusing distance, required for a high solid acceptance angle. 6. Conclusion Diffraction systems on the base of a microfocusing source and CMF Optics had been proven their efficiency and advanced features for protein and small molecule crystallography application. Small angle scattering system is under testing. Design study of the system for microdiffraction needs a refinement from the initial requirements. Microfocusing source design and multilayer optic technology must be upgraded for a higher system efficiency. References [1] B. Verman, L. Jiang, B. Kim, R. Smith, N. Grupido, Adv. X-ray Anal., 42, 321, (1998). [2] "Performance evaluation for multilayer optics using ray tracing method", B. Verman, K. D. Joenson, L. Jiang, XVIlith IUCr Congress & General Assembly, Glasgow, Scotland, Abstracts, p. 524, August 4-13, (1999). [3] A. Muller, Prog. Roy. Soc., A, CXXXII, 646, (1931). [4] D. E. Grider, A. Wright, P. K. Ausburn, J. Phys. D. Appl. Phys., 19, 2281, (1986). [5] D. E.Newbury, Microscopy, 22, 1,11, (1992). [6] J. Philibert, in "X-ray Optics and X-ray Microanalysis", N.Y., Acad. Press, 1963, [7] L. Jiang, B. Verman, B. Kim, Y. Platonov, Z. almosheky, R. Smith, N. Grupido, The Rigaku Journal, 18, 2, 13, (2001). [8] B. Verman, L. Jiang, "X-ray diffractometer with adjustable image distance", USA patent 6,069,934. Vol. 19 No

CONFOCAL GRADED d-spacing MULTILAYER BEAM CONDITIONING OPTICS

CONFOCAL GRADED d-spacing MULTILAYER BEAM CONDITIONING OPTICS Copyright(C)JCPDS-International Centre for Diffraction Data 2000, Advances in X-ray Analysis, Vol.42 321 Copyright(C)JCPDS-International Centre for Diffraction Data 2000, Advances in X-ray Analysis, Vol.42

More information

X-RAY OPTICS FOR TWO-DIMENSIONAL DIFFRACTION

X-RAY OPTICS FOR TWO-DIMENSIONAL DIFFRACTION Copyright (c)jcpds-international Centre for Diffraction Data 2002, Advances in X-ray Analysis, Volume 45. 332 ABSTRACT X-RAY OPTICS FOR TWO-DIMENSIONAL DIFFRACTION Bob B. He and Uwe Preckwinkel Bruker

More information

MICROFOCUSING X-RAY EQUIPMENT FOR THE LAB DIFFRACTOMETER

MICROFOCUSING X-RAY EQUIPMENT FOR THE LAB DIFFRACTOMETER 29 MICROFOCUSING X-RAY EQUIPMENT FOR THE LAB DIFFRACTOMETER Jörg Wiesmann, 1 Jürgen Graf, 1 Christian Hoffmann, 1 Carsten Michaelsen, 1 Alexandra Oehr, 1 Uwe Preckwinkel, 2 Ning Yang, 2 Holger Cordes,

More information

R-AXIS RAPID. X-ray Single Crystal Structure Analysis System. Product Information

R-AXIS RAPID. X-ray Single Crystal Structure Analysis System. Product Information The Rigaku Journal Vol. 15/ number 2/ 1998 Product Information X-ray Single Crystal Structure Analysis System R-AXIS RAPID 1. Introduction X-ray single crystal structure analysis is known as the easiest

More information

Data Collection with. VÅNTEC-2000 Detector

Data Collection with. VÅNTEC-2000 Detector Data Collection with IµS Source and VÅNTEC-2000 Detector D8 System Configuration for Reflection Microfocus Source IµS Optics with Housing 2D Detector (VÅNTEC-2000) DHS 900 Heating Stage Sample Stage Bruker

More information

EUV Plasma Source with IR Power Recycling

EUV Plasma Source with IR Power Recycling 1 EUV Plasma Source with IR Power Recycling Kenneth C. Johnson kjinnovation@earthlink.net 1/6/2016 (first revision) Abstract Laser power requirements for an EUV laser-produced plasma source can be reduced

More information

Guide to SPEX Optical Spectrometer

Guide to SPEX Optical Spectrometer Guide to SPEX Optical Spectrometer GENERAL DESCRIPTION A spectrometer is a device for analyzing an input light beam into its constituent wavelengths. The SPEX model 1704 spectrometer covers a range from

More information

Performance Factors. Technical Assistance. Fundamental Optics

Performance Factors.   Technical Assistance. Fundamental Optics Performance Factors After paraxial formulas have been used to select values for component focal length(s) and diameter(s), the final step is to select actual lenses. As in any engineering problem, this

More information

PHY 431 Homework Set #5 Due Nov. 20 at the start of class

PHY 431 Homework Set #5 Due Nov. 20 at the start of class PHY 431 Homework Set #5 Due Nov. 0 at the start of class 1) Newton s rings (10%) The radius of curvature of the convex surface of a plano-convex lens is 30 cm. The lens is placed with its convex side down

More information

LECTURE 10. Dr. Teresa D. Golden University of North Texas Department of Chemistry

LECTURE 10. Dr. Teresa D. Golden University of North Texas Department of Chemistry LECTURE 10 Dr. Teresa D. Golden University of North Texas Department of Chemistry Components for the source include: -Line voltage supply -high-voltage generator -x-ray tube X-ray source requires -high

More information

APPLICATION NOTE

APPLICATION NOTE THE PHYSICS BEHIND TAG OPTICS TECHNOLOGY AND THE MECHANISM OF ACTION OF APPLICATION NOTE 12-001 USING SOUND TO SHAPE LIGHT Page 1 of 6 Tutorial on How the TAG Lens Works This brief tutorial explains the

More information

Polycapillary optic source combinations for protein crystallography

Polycapillary optic source combinations for protein crystallography Journal of Applied Crystallography ISSN 0021-8898 Polycapillary optic source combinations for protein crystallography F. A. Hofmann, W. M. Gibson, C. A. MacDonald, D. A. Carter, J. X. Ho and J. R. Ruble

More information

FRAUNHOFER AND FRESNEL DIFFRACTION IN ONE DIMENSION

FRAUNHOFER AND FRESNEL DIFFRACTION IN ONE DIMENSION FRAUNHOFER AND FRESNEL DIFFRACTION IN ONE DIMENSION Revised November 15, 2017 INTRODUCTION The simplest and most commonly described examples of diffraction and interference from two-dimensional apertures

More information

DESIGN NOTE: DIFFRACTION EFFECTS

DESIGN NOTE: DIFFRACTION EFFECTS NASA IRTF / UNIVERSITY OF HAWAII Document #: TMP-1.3.4.2-00-X.doc Template created on: 15 March 2009 Last Modified on: 5 April 2010 DESIGN NOTE: DIFFRACTION EFFECTS Original Author: John Rayner NASA Infrared

More information

Applications of Optics

Applications of Optics Nicholas J. Giordano www.cengage.com/physics/giordano Chapter 26 Applications of Optics Marilyn Akins, PhD Broome Community College Applications of Optics Many devices are based on the principles of optics

More information

Cr, Co, Cu, Mo, Ag (others on request) Mean Reflectivity: R > 70%

Cr, Co, Cu, Mo, Ag (others on request) Mean Reflectivity: R > 70% PARALLEL BEAM X-RAY OPTICS y Mirror length L Θ = f(x) b p/2 λ = 2d eff (x) sin Θ(x) eff x m Parallel beam width b=f(p,λ,l,,l,x m ) x Fabrication of high precision 6 mm parallel beam optics both on prefigured

More information

Chapter Ray and Wave Optics

Chapter Ray and Wave Optics 109 Chapter Ray and Wave Optics 1. An astronomical telescope has a large aperture to [2002] reduce spherical aberration have high resolution increase span of observation have low dispersion. 2. If two

More information

Collimation Tester Instructions

Collimation Tester Instructions Description Use shear-plate collimation testers to examine and adjust the collimation of laser light, or to measure the wavefront curvature and divergence/convergence magnitude of large-radius optical

More information

Devices & Services Company

Devices & Services Company Devices & Services Company 10290 Monroe Drive, Suite 202 - Dallas, Texas 75229 USA - Tel. 214-902-8337 - Fax 214-902-8303 Web: www.devicesandservices.com Email: sales@devicesandservices.com D&S Technical

More information

Applications of New, High Intensity X-Ray Optics - Normal and thin film diffraction using a parabolic, multilayer mirror

Applications of New, High Intensity X-Ray Optics - Normal and thin film diffraction using a parabolic, multilayer mirror Applications of New, High Intensity X-Ray Optics - Normal and thin film diffraction using a parabolic, multilayer mirror Stephen B. Robie scintag, Inc. 10040 Bubb Road Cupertino, CA 95014 Abstract Corundum

More information

Examination, TEN1, in courses SK2500/SK2501, Physics of Biomedical Microscopy,

Examination, TEN1, in courses SK2500/SK2501, Physics of Biomedical Microscopy, KTH Applied Physics Examination, TEN1, in courses SK2500/SK2501, Physics of Biomedical Microscopy, 2009-06-05, 8-13, FB51 Allowed aids: Compendium Imaging Physics (handed out) Compendium Light Microscopy

More information

Advancing EDS Analysis in the SEM Quantitative XRF. International Microscopy Congress, September 5 th, Outline

Advancing EDS Analysis in the SEM Quantitative XRF. International Microscopy Congress, September 5 th, Outline Advancing EDS Analysis in the SEM with in-situ Quantitative XRF Brian J. Cross (1) & Kenny C. Witherspoon (2) 1) CrossRoads Scientific, El Granada, CA 94018, USA 2) ixrf Systems, Inc., Houston, TX 77059,

More information

Be aware that there is no universal notation for the various quantities.

Be aware that there is no universal notation for the various quantities. Fourier Optics v2.4 Ray tracing is limited in its ability to describe optics because it ignores the wave properties of light. Diffraction is needed to explain image spatial resolution and contrast and

More information

research papers First results from a macromolecular crystallography system with a polycapillary collimating optic and a microfocus X-ray generator

research papers First results from a macromolecular crystallography system with a polycapillary collimating optic and a microfocus X-ray generator Journal of Applied Crystallography ISSN 0021-8898 First results from a macromolecular crystallography system with a polycapillary collimating optic and a microfocus X-ray generator Received 7 September

More information

DATA COLLECTION WITH R-AXIS II, AN X-RAY DETECTING SYSTEM USING IMAGING PLATE

DATA COLLECTION WITH R-AXIS II, AN X-RAY DETECTING SYSTEM USING IMAGING PLATE THE RIGAKU JOURNAL VOL. 7 / NO. 2 / 1990 Technical Note DIFFRACTION DATA COLLECTION WITH R-AXIS II, AN X-RAY DETECTING SYSTEM USING IMAGING PLATE ATSUSHI SHIBATA R&D Division, Rigaku Corporation 1. Introduction

More information

INTRODUCTION THIN LENSES. Introduction. given by the paraxial refraction equation derived last lecture: Thin lenses (19.1) = 1. Double-lens systems

INTRODUCTION THIN LENSES. Introduction. given by the paraxial refraction equation derived last lecture: Thin lenses (19.1) = 1. Double-lens systems Chapter 9 OPTICAL INSTRUMENTS Introduction Thin lenses Double-lens systems Aberrations Camera Human eye Compound microscope Summary INTRODUCTION Knowledge of geometrical optics, diffraction and interference,

More information

Study on Imaging Quality of Water Ball Lens

Study on Imaging Quality of Water Ball Lens 2017 2nd International Conference on Mechatronics and Information Technology (ICMIT 2017) Study on Imaging Quality of Water Ball Lens Haiyan Yang1,a,*, Xiaopan Li 1,b, 1,c Hao Kong, 1,d Guangyang Xu and1,eyan

More information

VISUAL PHYSICS ONLINE DEPTH STUDY: ELECTRON MICROSCOPES

VISUAL PHYSICS ONLINE DEPTH STUDY: ELECTRON MICROSCOPES VISUAL PHYSICS ONLINE DEPTH STUDY: ELECTRON MICROSCOPES Shortly after the experimental confirmation of the wave properties of the electron, it was suggested that the electron could be used to examine objects

More information

Image Formation. Light from distant things. Geometrical optics. Pinhole camera. Chapter 36

Image Formation. Light from distant things. Geometrical optics. Pinhole camera. Chapter 36 Light from distant things Chapter 36 We learn about a distant thing from the light it generates or redirects. The lenses in our eyes create images of objects our brains can process. This chapter concerns

More information

Laser Beam Analysis Using Image Processing

Laser Beam Analysis Using Image Processing Journal of Computer Science 2 (): 09-3, 2006 ISSN 549-3636 Science Publications, 2006 Laser Beam Analysis Using Image Processing Yas A. Alsultanny Computer Science Department, Amman Arab University for

More information

Optical Coherence: Recreation of the Experiment of Thompson and Wolf

Optical Coherence: Recreation of the Experiment of Thompson and Wolf Optical Coherence: Recreation of the Experiment of Thompson and Wolf David Collins Senior project Department of Physics, California Polytechnic State University San Luis Obispo June 2010 Abstract The purpose

More information

Observational Astronomy

Observational Astronomy Observational Astronomy Instruments The telescope- instruments combination forms a tightly coupled system: Telescope = collecting photons and forming an image Instruments = registering and analyzing the

More information

Design of a light-guide used for the real-time monitoring of LCD-displays

Design of a light-guide used for the real-time monitoring of LCD-displays Design of a light-guide used for the real-time monitoring of LCD-displays W. Meulebroeck *a, Y. Meuret a, C. Ruwisch a, T. Kimpe b, P. Vandenberghe b, H. Thienpont a a Vrije Universiteit Brussel, Dept.

More information

PHY385H1F Introductory Optics. Practicals Session 7 Studying for Test 2

PHY385H1F Introductory Optics. Practicals Session 7 Studying for Test 2 PHY385H1F Introductory Optics Practicals Session 7 Studying for Test 2 Entrance Pupil & Exit Pupil A Cooke-triplet consists of three thin lenses in succession, and is often used in cameras. It was patented

More information

Mirrors and Lenses. Images can be formed by reflection from mirrors. Images can be formed by refraction through lenses.

Mirrors and Lenses. Images can be formed by reflection from mirrors. Images can be formed by refraction through lenses. Mirrors and Lenses Images can be formed by reflection from mirrors. Images can be formed by refraction through lenses. Notation for Mirrors and Lenses The object distance is the distance from the object

More information

Confocal Imaging Through Scattering Media with a Volume Holographic Filter

Confocal Imaging Through Scattering Media with a Volume Holographic Filter Confocal Imaging Through Scattering Media with a Volume Holographic Filter Michal Balberg +, George Barbastathis*, Sergio Fantini % and David J. Brady University of Illinois at Urbana-Champaign, Urbana,

More information

GEOMETRICAL OPTICS Practical 1. Part I. BASIC ELEMENTS AND METHODS FOR CHARACTERIZATION OF OPTICAL SYSTEMS

GEOMETRICAL OPTICS Practical 1. Part I. BASIC ELEMENTS AND METHODS FOR CHARACTERIZATION OF OPTICAL SYSTEMS GEOMETRICAL OPTICS Practical 1. Part I. BASIC ELEMENTS AND METHODS FOR CHARACTERIZATION OF OPTICAL SYSTEMS Equipment and accessories: an optical bench with a scale, an incandescent lamp, matte, a set of

More information

Spatial resolution. Spatial resolution

Spatial resolution. Spatial resolution 11/05/00 Refraction Compound refractive lenses (concave) Snigirev et al, NATURE 199 patents: Tomie 1995 x-rays: n = 1 - δ - i β < 1 www.accel.de Chromatic lenses Prod.: Lengeler @RWTH Aachen, D need of

More information

PHYS 202 OUTLINE FOR PART III LIGHT & OPTICS

PHYS 202 OUTLINE FOR PART III LIGHT & OPTICS PHYS 202 OUTLINE FOR PART III LIGHT & OPTICS Electromagnetic Waves A. Electromagnetic waves S-23,24 1. speed of waves = 1/( o o ) ½ = 3 x 10 8 m/s = c 2. waves and frequency: the spectrum (a) radio red

More information

The Wave Nature of Light

The Wave Nature of Light The Wave Nature of Light Physics 102 Lecture 7 4 April 2002 Pick up Grating & Foil & Pin 4 Apr 2002 Physics 102 Lecture 7 1 Light acts like a wave! Last week we saw that light travels from place to place

More information

TSBB09 Image Sensors 2018-HT2. Image Formation Part 1

TSBB09 Image Sensors 2018-HT2. Image Formation Part 1 TSBB09 Image Sensors 2018-HT2 Image Formation Part 1 Basic physics Electromagnetic radiation consists of electromagnetic waves With energy That propagate through space The waves consist of transversal

More information

MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Electrical Engineering and Computer Science

MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Electrical Engineering and Computer Science Student Name Date MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Electrical Engineering and Computer Science 6.161 Modern Optics Project Laboratory Laboratory Exercise No. 3 Fall 2005 Diffraction

More information

RIETVELD REFINEMENT OF POWDER DATA FROM MULTILAYER OPTICS

RIETVELD REFINEMENT OF POWDER DATA FROM MULTILAYER OPTICS Copyright (c)jcpds-international Centre for Diffraction Data 2002, Advances in X-ray Analysis, Volume 45. 166 RIETVELD REFINEMENT OF POWDER DATA FROM MULTILAYER OPTICS ABSTRACT Scott T. Misture NYS College

More information

Experience of synchrotron sources and optics modelling at Diamond Light Source

Experience of synchrotron sources and optics modelling at Diamond Light Source Experience of synchrotron sources and optics modelling at Diamond Light Source Lucia Alianelli Outline Microfocus MX beamline optics design (Principal Beamline Scientist G. Evans) Surface and interface

More information

LOS 1 LASER OPTICS SET

LOS 1 LASER OPTICS SET LOS 1 LASER OPTICS SET Contents 1 Introduction 3 2 Light interference 5 2.1 Light interference on a thin glass plate 6 2.2 Michelson s interferometer 7 3 Light diffraction 13 3.1 Light diffraction on a

More information

Ch 24. Geometric Optics

Ch 24. Geometric Optics text concept Ch 24. Geometric Optics Fig. 24 3 A point source of light P and its image P, in a plane mirror. Angle of incidence =angle of reflection. text. Fig. 24 4 The blue dashed line through object

More information

DEVELOPMENT OF A WAVELENGTH DISPERSIVE X-RAY FLUORESCENCE SPECTROMETER USING A MULTI-CAPILLARY X-RAY LENS FOR X-RAY DETECTION

DEVELOPMENT OF A WAVELENGTH DISPERSIVE X-RAY FLUORESCENCE SPECTROMETER USING A MULTI-CAPILLARY X-RAY LENS FOR X-RAY DETECTION Copyright JCPDS - International Centre for Diffraction Data 2003, Advances in X-ray Analysis, Volume 46. 346 DEVELOPMENT OF A WAVELENGTH DISPERSIVE X-RAY FLUORESCENCE SPECTROMETER USING A MULTI-CAPILLARY

More information

FIRST INDIRECT X-RAY IMAGING TESTS WITH AN 88-mm DIAMETER SINGLE CRYSTAL

FIRST INDIRECT X-RAY IMAGING TESTS WITH AN 88-mm DIAMETER SINGLE CRYSTAL FERMILAB-CONF-16-641-AD-E ACCEPTED FIRST INDIRECT X-RAY IMAGING TESTS WITH AN 88-mm DIAMETER SINGLE CRYSTAL A.H. Lumpkin 1 and A.T. Macrander 2 1 Fermi National Accelerator Laboratory, Batavia, IL 60510

More information

ECEN 4606, UNDERGRADUATE OPTICS LAB

ECEN 4606, UNDERGRADUATE OPTICS LAB ECEN 4606, UNDERGRADUATE OPTICS LAB Lab 2: Imaging 1 the Telescope Original Version: Prof. McLeod SUMMARY: In this lab you will become familiar with the use of one or more lenses to create images of distant

More information

Improved Spectra with a Schmidt-Czerny-Turner Spectrograph

Improved Spectra with a Schmidt-Czerny-Turner Spectrograph Improved Spectra with a Schmidt-Czerny-Turner Spectrograph Abstract For years spectra have been measured using traditional Czerny-Turner (CT) design dispersive spectrographs. Optical aberrations inherent

More information

Reflectors vs. Refractors

Reflectors vs. Refractors 1 Telescope Types - Telescopes collect and concentrate light (which can then be magnified, dispersed as a spectrum, etc). - In the end it is the collecting area that counts. - There are two primary telescope

More information

ABC Math Student Copy. N. May ABC Math Student Copy. Physics Week 13(Sem. 2) Name. Light Chapter Summary Cont d 2

ABC Math Student Copy. N. May ABC Math Student Copy. Physics Week 13(Sem. 2) Name. Light Chapter Summary Cont d 2 Page 1 of 12 Physics Week 13(Sem. 2) Name Light Chapter Summary Cont d 2 Lens Abberation Lenses can have two types of abberation, spherical and chromic. Abberation occurs when the rays forming an image

More information

NANO 703-Notes. Chapter 9-The Instrument

NANO 703-Notes. Chapter 9-The Instrument 1 Chapter 9-The Instrument Illumination (condenser) system Before (above) the sample, the purpose of electron lenses is to form the beam/probe that will illuminate the sample. Our electron source is macroscopic

More information

IMAGE SENSOR SOLUTIONS. KAC-96-1/5" Lens Kit. KODAK KAC-96-1/5" Lens Kit. for use with the KODAK CMOS Image Sensors. November 2004 Revision 2

IMAGE SENSOR SOLUTIONS. KAC-96-1/5 Lens Kit. KODAK KAC-96-1/5 Lens Kit. for use with the KODAK CMOS Image Sensors. November 2004 Revision 2 KODAK for use with the KODAK CMOS Image Sensors November 2004 Revision 2 1.1 Introduction Choosing the right lens is a critical aspect of designing an imaging system. Typically the trade off between image

More information

Performance Comparison of Spectrometers Featuring On-Axis and Off-Axis Grating Rotation

Performance Comparison of Spectrometers Featuring On-Axis and Off-Axis Grating Rotation Performance Comparison of Spectrometers Featuring On-Axis and Off-Axis Rotation By: Michael Case and Roy Grayzel, Acton Research Corporation Introduction The majority of modern spectrographs and scanning

More information

Today s Outline - January 25, C. Segre (IIT) PHYS Spring 2018 January 25, / 26

Today s Outline - January 25, C. Segre (IIT) PHYS Spring 2018 January 25, / 26 Today s Outline - January 25, 2018 C. Segre (IIT) PHYS 570 - Spring 2018 January 25, 2018 1 / 26 Today s Outline - January 25, 2018 HW #2 C. Segre (IIT) PHYS 570 - Spring 2018 January 25, 2018 1 / 26 Today

More information

PHYS 160 Astronomy. When analyzing light s behavior in a mirror or lens, it is helpful to use a technique called ray tracing.

PHYS 160 Astronomy. When analyzing light s behavior in a mirror or lens, it is helpful to use a technique called ray tracing. Optics Introduction In this lab, we will be exploring several properties of light including diffraction, reflection, geometric optics, and interference. There are two sections to this lab and they may

More information

ADVANCED OPTICS LAB -ECEN Basic Skills Lab

ADVANCED OPTICS LAB -ECEN Basic Skills Lab ADVANCED OPTICS LAB -ECEN 5606 Basic Skills Lab Dr. Steve Cundiff and Edward McKenna, 1/15/04 Revised KW 1/15/06, 1/8/10 Revised CC and RZ 01/17/14 The goal of this lab is to provide you with practice

More information

Performance of the SASE3 monochromator equipped with a provisional short grating. Variable line spacing grating specifications

Performance of the SASE3 monochromator equipped with a provisional short grating. Variable line spacing grating specifications TECHNICAL REPORT Performance of the SASE monochromator equipped with a provisional short grating. Variable line spacing grating specifications N. Gerasimova for the X-Ray Optics and Beam Transport group

More information

Big League Cryogenics and Vacuum The LHC at CERN

Big League Cryogenics and Vacuum The LHC at CERN Big League Cryogenics and Vacuum The LHC at CERN A typical astronomical instrument must maintain about one cubic meter at a pressure of

More information

Chapter 36: diffraction

Chapter 36: diffraction Chapter 36: diffraction Fresnel and Fraunhofer diffraction Diffraction from a single slit Intensity in the single slit pattern Multiple slits The Diffraction grating X-ray diffraction Circular apertures

More information

Test procedures Page: 1 of 5

Test procedures Page: 1 of 5 Test procedures Page: 1 of 5 1 Scope This part of document establishes uniform requirements for measuring the numerical aperture of optical fibre, thereby assisting in the inspection of fibres and cables

More information

Imaging Optics Fundamentals

Imaging Optics Fundamentals Imaging Optics Fundamentals Gregory Hollows Director, Machine Vision Solutions Edmund Optics Why Are We Here? Topics for Discussion Fundamental Parameters of your system Field of View Working Distance

More information

E X P E R I M E N T 12

E X P E R I M E N T 12 E X P E R I M E N T 12 Mirrors and Lenses Produced by the Physics Staff at Collin College Copyright Collin College Physics Department. All Rights Reserved. University Physics II, Exp 12: Mirrors and Lenses

More information

Compact High Intensity Light Source

Compact High Intensity Light Source Compact High Intensity Light Source General When a broadband light source in the ultraviolet-visible-near infrared portion of the spectrum is required, an arc lamp has no peer. The intensity of an arc

More information

ECEN. Spectroscopy. Lab 8. copy. constituents HOMEWORK PR. Figure. 1. Layout of. of the

ECEN. Spectroscopy. Lab 8. copy. constituents HOMEWORK PR. Figure. 1. Layout of. of the ECEN 4606 Lab 8 Spectroscopy SUMMARY: ROBLEM 1: Pedrotti 3 12-10. In this lab, you will design, build and test an optical spectrum analyzer and use it for both absorption and emission spectroscopy. The

More information

PHYSICS. Chapter 35 Lecture FOR SCIENTISTS AND ENGINEERS A STRATEGIC APPROACH 4/E RANDALL D. KNIGHT

PHYSICS. Chapter 35 Lecture FOR SCIENTISTS AND ENGINEERS A STRATEGIC APPROACH 4/E RANDALL D. KNIGHT PHYSICS FOR SCIENTISTS AND ENGINEERS A STRATEGIC APPROACH 4/E Chapter 35 Lecture RANDALL D. KNIGHT Chapter 35 Optical Instruments IN THIS CHAPTER, you will learn about some common optical instruments and

More information

Assembly and Experimental Characterization of Fiber Collimators for Low Loss Coupling

Assembly and Experimental Characterization of Fiber Collimators for Low Loss Coupling Assembly and Experimental Characterization of Fiber Collimators for Low Loss Coupling Ruby Raheem Dept. of Physics, Heriot Watt University, Edinburgh, Scotland EH14 4AS, UK ABSTRACT The repeatability of

More information

Chapter 3 Op+cal Instrumenta+on

Chapter 3 Op+cal Instrumenta+on Chapter 3 Op+cal Instrumenta+on 3-1 Stops, Pupils, and Windows 3-4 The Camera 3-5 Simple Magnifiers and Eyepieces 3-6 Microscopes 3-7 Telescopes Today (2011-09-22) 1. Magnifiers 2. Camera 3. Resolution

More information

10.2 Images Formed by Lenses SUMMARY. Refraction in Lenses. Section 10.1 Questions

10.2 Images Formed by Lenses SUMMARY. Refraction in Lenses. Section 10.1 Questions 10.2 SUMMARY Refraction in Lenses Converging lenses bring parallel rays together after they are refracted. Diverging lenses cause parallel rays to move apart after they are refracted. Rays are refracted

More information

Diamond X-ray Rocking Curve and Topograph Measurements at CHESS

Diamond X-ray Rocking Curve and Topograph Measurements at CHESS Diamond X-ray Rocking Curve and Topograph Measurements at CHESS G. Yang 1, R.T. Jones 2, F. Klein 3 1 Department of Physics and Astronomy, University of Glasgow, Glasgow, UK G12 8QQ. 2 University of Connecticut

More information

OPTICAL SYSTEMS OBJECTIVES

OPTICAL SYSTEMS OBJECTIVES 101 L7 OPTICAL SYSTEMS OBJECTIVES Aims Your aim here should be to acquire a working knowledge of the basic components of optical systems and understand their purpose, function and limitations in terms

More information

ANALYTICAL MICRO X-RAY FLUORESCENCE SPECTROMETER

ANALYTICAL MICRO X-RAY FLUORESCENCE SPECTROMETER Copyright(c)JCPDS-International Centre for Diffraction Data 2001,Advances in X-ray Analysis,Vol.44 325 ANALYTICAL MICRO X-RAY FLUORESCENCE SPECTROMETER ABSTRACT William Chang, Jonathan Kerner, and Edward

More information

Chapters 1 & 2. Definitions and applications Conceptual basis of photogrammetric processing

Chapters 1 & 2. Definitions and applications Conceptual basis of photogrammetric processing Chapters 1 & 2 Chapter 1: Photogrammetry Definitions and applications Conceptual basis of photogrammetric processing Transition from two-dimensional imagery to three-dimensional information Automation

More information

Macromolecular SAXS. Size Shape Flexibility Assemblies Solution State. Solution scattering from biological molecules

Macromolecular SAXS. Size Shape Flexibility Assemblies Solution State. Solution scattering from biological molecules Macromolecular SAXS Size Shape Flexibility Assemblies Solution State Solution scattering from biological molecules Rigaku s BioSAXS-2000 System for Biological Solutio SAXS cameras There are two basic designs

More information

BL39XU Magnetic Materials

BL39XU Magnetic Materials BL39XU Magnetic Materials BL39XU is an undulator beamline that is dedicated to hard X-ray spectroscopy and diffractometry requiring control of the X-ray polarization state. The major applications of the

More information

RIGAKU VariMax Dual Part 0 Startup & Shutdown Manual

RIGAKU VariMax Dual Part 0 Startup & Shutdown Manual i RIGAKU VariMax Dual Part 0 Startup & Shutdown Manual X-ray Laboratory, Nano-Engineering Research Center, Institute of Engineering Innovation, School of Engineering, The University of Tokyo Figure 0:

More information

Geometric Optics. PSI AP Physics 2. Multiple-Choice

Geometric Optics. PSI AP Physics 2. Multiple-Choice Geometric Optics PSI AP Physics 2 Name Multiple-Choice 1. When an object is placed in front of a plane mirror the image is: (A) Upright, magnified and real (B) Upright, the same size and virtual (C) Inverted,

More information

Testing Aspherics Using Two-Wavelength Holography

Testing Aspherics Using Two-Wavelength Holography Reprinted from APPLIED OPTICS. Vol. 10, page 2113, September 1971 Copyright 1971 by the Optical Society of America and reprinted by permission of the copyright owner Testing Aspherics Using Two-Wavelength

More information

CHAPTER 9 POSITION SENSITIVE PHOTOMULTIPLIER TUBES

CHAPTER 9 POSITION SENSITIVE PHOTOMULTIPLIER TUBES CHAPTER 9 POSITION SENSITIVE PHOTOMULTIPLIER TUBES The current multiplication mechanism offered by dynodes makes photomultiplier tubes ideal for low-light-level measurement. As explained earlier, there

More information

Chapter 18 Optical Elements

Chapter 18 Optical Elements Chapter 18 Optical Elements GOALS When you have mastered the content of this chapter, you will be able to achieve the following goals: Definitions Define each of the following terms and use it in an operational

More information

X-rays. X-rays are produced when electrons are accelerated and collide with a target. X-rays are sometimes characterized by the generating voltage

X-rays. X-rays are produced when electrons are accelerated and collide with a target. X-rays are sometimes characterized by the generating voltage X-rays Ouch! 1 X-rays X-rays are produced when electrons are accelerated and collide with a target Bremsstrahlung x-rays Characteristic x-rays X-rays are sometimes characterized by the generating voltage

More information

Spectroscopy Lab 2. Reading Your text books. Look under spectra, spectrometer, diffraction.

Spectroscopy Lab 2. Reading Your text books. Look under spectra, spectrometer, diffraction. 1 Spectroscopy Lab 2 Reading Your text books. Look under spectra, spectrometer, diffraction. Consult Sargent Welch Spectrum Charts on wall of lab. Note that only the most prominent wavelengths are displayed

More information

Class XII - Physics Wave Optics Chapter-wise Problems

Class XII - Physics Wave Optics Chapter-wise Problems Class XII - hysics Wave Optics Chapter-wise roblems Multiple Choice Question :- 10.1 Consider a light beam incident from air to a glass slab at Brewster s angle as shown in Fig. 10.1. A polaroid is placed

More information

Sources & Beam Line Optics

Sources & Beam Line Optics SSRL Scattering Workshop May 16, 2006 Sources & Beam Line Optics Thomas Rabedeau SSRL Beam Line Development Objective/Scope Objective - develop a better understanding of the capabilities and limitations

More information

Upgrade of the ultra-small-angle scattering (USAXS) beamline BW4

Upgrade of the ultra-small-angle scattering (USAXS) beamline BW4 Upgrade of the ultra-small-angle scattering (USAXS) beamline BW4 S.V. Roth, R. Döhrmann, M. Dommach, I. Kröger, T. Schubert, R. Gehrke Definition of the upgrade The wiggler beamline BW4 is dedicated to

More information

Development of a new multi-wavelength confocal surface profilometer for in-situ automatic optical inspection (AOI)

Development of a new multi-wavelength confocal surface profilometer for in-situ automatic optical inspection (AOI) Development of a new multi-wavelength confocal surface profilometer for in-situ automatic optical inspection (AOI) Liang-Chia Chen 1#, Chao-Nan Chen 1 and Yi-Wei Chang 1 1. Institute of Automation Technology,

More information

Single-photon excitation of morphology dependent resonance

Single-photon excitation of morphology dependent resonance Single-photon excitation of morphology dependent resonance 3.1 Introduction The examination of morphology dependent resonance (MDR) has been of considerable importance to many fields in optical science.

More information

INSTRUCTION MANUAL FOR THE MODEL C OPTICAL TESTER

INSTRUCTION MANUAL FOR THE MODEL C OPTICAL TESTER INSTRUCTION MANUAL FOR THE MODEL C OPTICAL TESTER INSTRUCTION MANUAL FOR THE MODEL C OPTICAL TESTER Data Optics, Inc. (734) 483-8228 115 Holmes Road or (800) 321-9026 Ypsilanti, Michigan 48198-3020 Fax:

More information

Tangents. The f-stops here. Shedding some light on the f-number. by Marcus R. Hatch and David E. Stoltzmann

Tangents. The f-stops here. Shedding some light on the f-number. by Marcus R. Hatch and David E. Stoltzmann Tangents Shedding some light on the f-number The f-stops here by Marcus R. Hatch and David E. Stoltzmann The f-number has peen around for nearly a century now, and it is certainly one of the fundamental

More information

Geometric optics & aberrations

Geometric optics & aberrations Geometric optics & aberrations Department of Astrophysical Sciences University AST 542 http://www.northerneye.co.uk/ Outline Introduction: Optics in astronomy Basics of geometric optics Paraxial approximation

More information

PHYS 3153 Methods of Experimental Physics II O2. Applications of Interferometry

PHYS 3153 Methods of Experimental Physics II O2. Applications of Interferometry Purpose PHYS 3153 Methods of Experimental Physics II O2. Applications of Interferometry In this experiment, you will study the principles and applications of interferometry. Equipment and components PASCO

More information

MICRO XRF OF LIGHT ELEMENTS USING A POLYCAPILLARY LENS AND AN ULTRA THIN WINDOW SILICON DRIFT DETECTOR INSIDE A VACUUM CHAMBER

MICRO XRF OF LIGHT ELEMENTS USING A POLYCAPILLARY LENS AND AN ULTRA THIN WINDOW SILICON DRIFT DETECTOR INSIDE A VACUUM CHAMBER Copyright JCPDS - International Centre for Diffraction Data 2005, Advances in X-ray Analysis, Volume 48. 229 MICRO XRF OF LIGHT ELEMENTS USING A POLYCAPILLARY LENS AND AN ULTRA THIN WINDOW SILICON DRIFT

More information

Chapter 23. Light Geometric Optics

Chapter 23. Light Geometric Optics Chapter 23. Light Geometric Optics There are 3 basic ways to gather light and focus it to make an image. Pinhole - Simple geometry Mirror - Reflection Lens - Refraction Pinhole Camera Image Formation (the

More information

Focusing X-ray beams below 50 nm using bent multilayers. O. Hignette Optics group. European Synchrotron Radiation Facility (FRANCE) Outline

Focusing X-ray beams below 50 nm using bent multilayers. O. Hignette Optics group. European Synchrotron Radiation Facility (FRANCE) Outline Focusing X-ray beams below 50 nm using bent multilayers O. Hignette Optics group European Synchrotron Radiation Facility (FRANCE) Outline Graded multilayers resolution limits 40 nanometers focusing Fabrication

More information

Physics 431 Final Exam Examples (3:00-5:00 pm 12/16/2009) TIME ALLOTTED: 120 MINUTES Name: Signature:

Physics 431 Final Exam Examples (3:00-5:00 pm 12/16/2009) TIME ALLOTTED: 120 MINUTES Name: Signature: Physics 431 Final Exam Examples (3:00-5:00 pm 12/16/2009) TIME ALLOTTED: 120 MINUTES Name: PID: Signature: CLOSED BOOK. TWO 8 1/2 X 11 SHEET OF NOTES (double sided is allowed), AND SCIENTIFIC POCKET CALCULATOR

More information

Exam 4. Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.

Exam 4. Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question. Name: Class: Date: Exam 4 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Mirages are a result of which physical phenomena a. interference c. reflection

More information

A Novel Multipass Optical System Oleg Matveev University of Florida, Department of Chemistry, Gainesville, Fl

A Novel Multipass Optical System Oleg Matveev University of Florida, Department of Chemistry, Gainesville, Fl A Novel Multipass Optical System Oleg Matveev University of Florida, Department of Chemistry, Gainesville, Fl BACKGROUND Multipass optical systems (MOS) are broadly used in absorption, Raman, fluorescence,

More information

Chapter 25. Optical Instruments

Chapter 25. Optical Instruments Chapter 25 Optical Instruments Optical Instruments Analysis generally involves the laws of reflection and refraction Analysis uses the procedures of geometric optics To explain certain phenomena, the wave

More information

Flatness of Dichroic Beamsplitters Affects Focus and Image Quality

Flatness of Dichroic Beamsplitters Affects Focus and Image Quality Flatness of Dichroic Beamsplitters Affects Focus and Image Quality Flatness of Dichroic Beamsplitters Affects Focus and Image Quality 1. Introduction Even though fluorescence microscopy has become a routine

More information