for courses SK2500 & SK2501, Physics of Biomedical Microscopy, Physics of Biomedical Microscopy, Extended Course Kjell Carlsson
|
|
- Oswald Woods
- 5 years ago
- Views:
Transcription
1 ? Biomedical & X-ray Physics Kjell Carlsson Problems (and solutions) for courses SK500 & SK501, Physics of Biomedical Microscopy, Physics of Biomedical Microscopy, Extended Course by Kjell Carlsson Physics Dept., KTH, Stockholm, 008
2 Note: This little collection of problems was originally compiled in the academic year 003/004 when the course Physics of Biomedical Microscopy was given for the first time, and therefore no previous written examinations existed. Such previous examinations are usually of considerable interest to students, and therefore the following problems were extracted from examinations given in a previous course (that was similar, but not identical, to the current course). The problems are mixed, meaning that they are not arranged in the chronological order of the course content. There is also a strong bias toward the parts covered in the compendium Imaging Physics and the confocal part of Light Microscopy. In order to cover some of the new stuff in the present course, such as Köhler illumination and DIC, problems 1 and were added (these are not old examination problems).
3 3 Problem 1 Köhler illumination is much used in microscopy. Look at Fig. 4 in the compendium Light Microscopy and answer the following questions. a) When the luminous field diaphragm is closed down, less light from the lamp will reach the specimen. Does this mean that the illuminance level in the specimen is reduced? Explain why, or why not, this is the case. b) In photography, closing down the diaphragm opening of the camera lens will increase the depth of field. Which of the two diaphragms in a microscope will affect the depth of field, and why doesn t the other one have the same effect? c) Which of the two microscope diaphragms affects the resolution, and how should it be adjusted for best results? Why doesn t the other diaphragm affect the resolution? d) Sometimes people with eyeglasses cannot get close enough to the eyepiece of the microscope. What is the effect if the pupil of the eye is placed too far away from the eyepiece, and why? Problem A DIC microscope is set up in the usual way, i.e. with a phase shift ϕ = π between the sheared beams for equal specimen pathlengths, see Light Microscopy page 8. The light intensity obtained when the ϕ two sheared beams are recombined is given by the function I = I cos 0. Thus, for the case of I equal pathlengths, we get I = 0, or 50% of maximum intensity. To clearly distinguish a change in intensity level, we require a change of, say, 0% (i.e., I becomes 40% or 60% of maximum level). Under these circumstances, what is thickness, d, of the thinnest plane-parallel piece of glass that can be detected when inserted into a DIC microscope according to the figure? We assume that monochromatic light with λ = 550 nm is used. Air, n = 1 d Glass, n = 1.5 Two beams in the DIC microscope sheared by the distance δ. δ Problem 3 True or false, and why? (Consider incoherent imaging) If we know what the point spread function of an optical system looks like, we know everything there is to know about the imaging properties of the system. If we know what the point spread function of a diffraction-limited optical system looks like, we know everything about the imaging properties of the system. If we know the Rayleigh resolution limit of an imaging system, we know everything about the imaging properties. If we know the Rayleigh resolution limit of a diffraction-limited imaging system, we know everything about the imaging properties.
4 4 Problem 4 Let us define volume resolution in confocal microscopy as the product of the resolution figures in the x, y and z directions. (If, for example, the resolution figures are 1.0 μm, 0.5 μm and 1.5 μm, the volume resolution would be = μm 3.) a) What is the mathematical relationship between the wavelength of the light and the volume resolution in confocal fluorescence microscopy? b) What is the mathematical relationship between the numerical aperture of the objective and the volume resolution in confocal fluorescence microscopy? (It s okay to assume that the numerical aperture is small in order to simplify the calculations) For simplicity you can assume that the excitation and fluorescence wavelengths are equal. You are free to select which measure of resolution you want from the ones presented in the course. Problem 5 In this problem you are asked to select a suitable dichroic beam-splitter and barrier filter for confocal fluorescence microscopy. A simplified schematic drawing of the set-up is shown in the figure below. Objective Dichroic beam-splitter Aperture Barrier filter Detector Fluorescent specimen λ exc = 488 nm The emission spectrum of the fluorophore used is given in the figure below. Intensity λ (nm)
5 5 You have a choice of 4 different dichroic beam-splitters, whose transmission curves are shown below. Note that in all cases light that is not transmitted is reflected. 90% Transmission a b c d 5% λ (nm) You also have a selection of different barrier filters, whose transmission curves are given in the figure below. 95% Transmission % λ (nm) Since the light intensity is very low, it is important that as many fluorescence photons as possible can reach the detector. However, it is also important that absolutely no laser light (which is many orders of magnitude stronger than the fluorescent light!) can reach the detector. Select a suitable dichroic beamsplitter (a-d) and barrier filter (1-6) to give the best results under the circumstances. Explain carefully how you make your choice.
6 6 Problem 6 To avoid aliasing (i.e. false spatial frequencies due to insufficient sampling density) an anti-aliasing filter can be used between the microscope objective and the CCD detector matrix used for recording digital images of the specimen. Let s assume that the detector elements in the CCD are arranged as shown in the figure below. 5 μm 10 μm y 4 μm 10 μm x The MTF curve of the microscope objective is given by: 1 MTF mm -1 where the spatial frequency (in units of mm -1 ) refers to the image plane of the objective, i.e. where the CCD is located. You have a choice of three different anti-aliasing filters, whose MTF curves are illustrated on next page.
7 7 MTF MTF MTF mm -1 mm -1 mm mm mm mm mm -1 Which anti-aliasing filter do you choose, and why? Can you see any disadvantages with using an antialiasing filter concerning the image quality? Explain! It is sufficient to treat the one-dimensional problem (for example x-direction only). Problem 7 It is a well-known fact that the maximum attainable signal-to-noise ratio (SNR) in light measurements depends on the number of photons detected during the measurement. Higher SNRs require more photons. The question is whether it is possible to obtain, in a given measurement situation, a higher SNR by using an image intensifier. An image intensifier is a device that produces multiple output photons for each incoming photon (this doesn t violate the principle of energy conservation, because we input electric power). Imagine that we couple an image intensifier, that produces 1000 secondary photons for each incoming one, in front of the detector. We then detect many more photons, but will we get a higher SNR? Answer this question by studying the SNR in terms of average signal level and standard deviation when performing repeated measurements. Assume that the detector output signal is directly proportional to the number of detected photons during the exposure time, and that both detector and image intensifier introduce negligible amounts of noise (i.e. only photon noise is present). (Formulas for standard deviation etc. can be found in App. 8 of Imaging Physics) Problem 8 Christmas is the proper time for making wishes. This year we shall wish for microscope optics that are useful for all wavelengths from X-rays right up to visible wavelengths. And while we re at it, let s wish for diffraction limited performance at all wavelengths. Supposing Santa delivers the goods, we will build two microscope set-ups for fluorescence microscopy. In both cases we will use soft X-rays (λ =.5 nm) for illuminating fluorescent specimens, which then emit light in the visible region (assume monochromatic light at λ = 550 nm). One set-up is according to Fig. 13 in the compendium Light Microscopy. In this set-up conventional (i.e. non-confocal) microscopy is used. A large specimen area is illuminated by an X-ray lamp, and the fluorescent light from the specimen is imaged by the objective and eyepiece. The other set-up is confocal, and according to Fig. 18 in the compendium. In this case we assume that the laser excitation light consists of X-rays. What is the highest spatial frequency (measured in the specimen plane) that could be imaged by these two systems? We will assume that the confocal detector aperture is very small. Problem 9 In cases where we have some prior knowledge concerning the specimen, it may be possible to extract useful information from images even if the sampling theorem has not been fulfilled. Consider the following case: We are using an NA = 0.90 microscope objective for imaging a periodic structure, whose spatial frequency we know is > 1.8 μm -1. The microscope used is non-confocal, and the imaging is incoherent at a wavelength of 550 nm. The image is digitally recorded with a sampling distance of 0.33 μm (measured in the specimen plane). In the recorded image we see a periodic, low-contrast pattern with a spatial frequency of 0.90 μm -1. Is it possible from these data to uniquely determine the spatial frequency of the periodic specimen structure, and if so what is the frequency?
8 8 Problem 10 When working with light microscopy at high magnification, the image quality is sometimes adversely affected by mechanical vibrations in the set-up. Let s assume that we are recording images with a (nonconfocal) microscope equipped with a high-quality 100/1.4 objective (i.e. 100x magnification and 1.4 numerical aperture). The specimen emits fluorescent light with a wavelength of approximately 580 nm. The effects of the vibrations can be described by a point spread function, psf vibrations, according to the figure below, where x is given in units of meters (in the specimen plane). We only consider a onedimensional case, with vibrations perpendicular to the optical axis of the microscope. psf vibrations 1 x x a) Determine MTF vibrations and PTF vibrations. b) Will the vibrations have any decisive influence on the image quality? (Motivation needed) Problem 11 In a non-confocal fluorescence microscope the specimen is uniformly illuminated with 436 nm light from a mercury lamp. The irradiance level is 1.0 mw/mm. The specimen is imaged using a 100x 4 objective, and the efficiency of the imaging process is such that it takes illumination photons to produce one fluorescent photon in the image plane of the objective. Images of the specimen are recorded by a CCD detector with 104x104 elements, each with a light-sensitive area of 10x10 μm. The detector is located in the image plane of the objective. The specimen is living and therefore moving. As a result, we want to record as many images per second as possible. We demand, however, that photon quantum noise must not reduce the signal-to-noise ratio below 0. The quantum efficiency of the detector is 50%. How many images per second can we record? Problem 1 We are imaging a specimen in reflected light (λ = 633 nm) using a confocal microscope with a very small detector aperture. As a result, imaging is purely coherent. The microscope is optimally focused on the reflecting surface. If, during scanning, the specimen vibrates in a direction parallel to the optical axis, this will cause intensity variations in the images. What is the maximum allowed vibrational amplitude if we cannot tolerate larger intensity variations than 5% due to vibrations. Scanning is performed with an N.A. = 0.65 dry objective. (Hint: If you encounter an equation you cannot solve analytically, use trial-and-error to get an approximate solution)
9 9 Problem 13 You want to record a specimen volume of 100μ m 100μm 100μm using confocal microscopy. The microscope optics are diffraction limited, and the detector aperture is so small that its influence on the resolution is negligible. You want to store the volume as a stack of digital images in a computer. Each pixel value in the images is represented by one byte of data. How many megabytes of data do you need to record if you don t want to lose any information due to the sampling process? The microscope objective has 100 magnification and a numerical aperture of 1.3. Oil with a refractive index of 1.5 is used as immersion medium. The specimen is fluorescenctly labelled, and you may use an average wavelength of 550 nm in the calculations. Problem 14 Single molecule detection has been demonstrated in fluorescence microscopy in recent years. Consider the following experimental situation: The fluorophore has an excited state lifetime of 3.5 ns (i.e. after excitation the molecule returns to the ground state emitting a fluorescent photon after, on average, 3.5 ns). The excitation intensity is high, which means that the molecule is excited again immediately after returning to the ground state. The fluorophore molecule is expected to last for ten thousand excitation/emission cycles before it is destroyed by the excitation light. Fluorescence photons are emitted isotropically in all directions. The fluorophore molecule is located in immersion oil (n = 1.5), and the objective is a planapo 40/1.0 oil immersion type. 50% of the photons that enter the microscope objective will be lost due to absorption/reflection in the optical system. The detector quantum efficiency is 40%. Estimate (i.e. reasonable approximations are allowed) the number of photons that can be recorded from a single fluorophore molecule before it is destroyed. How long will it take to record this number of photons? Problem 15 A fluorescence microscope according to Fig. 13 in the compendium Light Microscopy uses a highpressure mercury lamp with an emission spectrum according to the figure below. Int λ (nm) The specimen is labelled with a fluorophore whose excitation and emission spectra are given by the figure on next page. (The excitation spectrum shows how efficiently the fluorophore is excited by different wavelengths.)
10 10 Int. Excitation Emission λ (nm) You have a choice of 5 excitation filters that transmit the following wavelength bands in nanometers: 313 ± 5, 334 ± 5, 365 ± 5, 405 ± 5, 436 ± 5, 546 ± 5 Outside these wavelength bands the transmission is nil. Transmission spectra for available dichroic beamsplitters are given below. Light that is not transmitted is reflected. Note that these beamplitters are leaky, which means that there is a small transmission also for wavelengths that should be reflected. Transmission 5% leakage in reflection band d 1 d d 3 d 4 λ (nm) The transmission curves for the available barrier filters are shown below. 100% Transmission b 1 b b 3 b 4 λ (nm)
11 11 Select suitable excitation, barrier and dichroic filters for the given lamp and fluorophore. Remember that the excitation light is many orders of magnitude stronger than the fluorescence light. The microscope objective absorbs wavelengths below 350 nm. Include short motivations for the choice of filters. Problem 16 Technologicus microscopicus is an interesting little bacterium whose back is covered with green fluorescent stripes, see figure. The fluorescence intensity profile resembles a sinewave with a period length of 0.80 μm, and the contrast is high (nearly 100% modulation). Fluorescence intensity 0.80 μm x x You are recording a digital image of this stripe pattern using an ordinary (i.e. non-confocal) fluorescence microscope, equipped with a 5/0.65 dry objective (nearly diffraction-limited). In the image plane of the objective (see Fig. 1 in Light Microscopy compendium) a CCD area array sensor is located. The sensor comprises detector elements, each with an area of μm, see figure blow. The light sensitivity is uniform over the entire μm area of an element, and zero outside. y x 7.5 μm 7.5 μm a) Estimate what the modulation will be in the recorded image data from the CCD (you may use your own calculations and/or equations and figures in the compendium to get the result). b) Will the period length of the recorded pattern be correct (i.e. will aliasing occur or not)? (Motivation needed) Problem 17 The confocal principle can be used not only in microscopic imaging, but also in macroscopic applications. In this problem we will consider the use of a confocal set-up for imaging of the blood perfusion in the skin of a patient. After intravenous injection of a fluorescent substance, the skin fluorescence is recorded with an optical set-up according to the figure on next page. What optical
12 1 section thickness (measured as full-width-half-maximum) can we expect when using this kind of setup. The detector aperture is so small that it does not affect the depth resolution. ( λ laser λfluorescence 500 nm). Laser light Aperture Dichroic beamsplitter Detector Lens diameter 50 mm 0.50 m Air Fluorescence light Patient Problem 18 Aliasing, i.e. moiré-patterns due to insufficient sampling density, is often a problem when using area array sensors. In some cases, however, a bit of detective work can tell us whether a periodic pattern has been recorded correctly or not. In the present example we have no data to tell us whether the sampling criterion was fulfilled or not. An area array sensor with 56 x 56 detector elements was used, each with a light-sensitive area of 10 x 10 μm (see figure 1). The light sensitivity is uniform over the entire area of each detector element and zero outside, and the response is linear (i.e. pixel values are proportional to exposure). Using this sensor, a pattern according to fig. was obtained. Explain why we can be sure that in this particular case no aliasing has occurred, and that therefore the pattern in fig. is recorded with correct period length. (Hint: consider detector MTF) y x 10 μm Fig μm
13 13 55 (white) Pixel value 0 (black) Fig.. x Problem 19 You want to record, with as much detail as possible, a very large specimen volume (approx. mm x mm x mm) in a confocal fluorescence microscope. You are using a (dry) 5x objective with numerical aperture Suggest a suitable sampling density (sampling points/mm in the specimen volume) in all three dimensions. Would you expect that differences in resolution in the horizontal and vertical directions will be pronounced in this case? Explain! (The detector aperture is very small, and the objective is nearly diffraction-limited. Both excitation and fluorescence wavelengths are close to 550 nm.) Problem 0 In fluorescence measurements the light flux is often quite low, and therefore the signal-to-noise ratio (SNR) is often rather poor. The situation can be improved by prolonging the measurement time so that more photons are collected. One problem with using long measurement times is that the fluorescence intensity often decays gradually over time. The reason for this is that fluorophore molecules are destroyed by the excitation light (this is referred to as photo-bleaching). Consider the two cases shown in the figure below. In case 1 no photo-bleaching occurs. Therefore, the detection rate of photons (i.e. the number of photons detected per second) is I 0 = s -1 independent of the measurement time. In αt case photo-bleaching occurs, so that the detection rate is given by I() t = I 0 e, where I 0 = s -1 and α = 100 s -1. I 0 Case 1 Case a) Calculate for cases 1 and the maximum SNR that is theoretically possible as a function of measurement time τ. b) In case it is pointless to use very long measurement times. Where approximately would you say that this limit is (use a common sense estimation). t
14 14 Solutions. Problem 1 a) When closing the luminous field diaphragm, the illuminance level in the specimen remains constant. The illuminated area is, however, reduced. The total luminous flux is thus reduced, but this smaller flux is distributed over a correspondingly smaller area, leaving the illuminance level constant. b) Depth of field is controlled by the aperture diaphragm, which controls the total solid angle under which the objective collects light. Reducing this angle reduces the blur circle that occurs when an object is out of focus. Changing the luminous field diaphragm does not change this solid angle, and therefore does not affect the depth of field. c) Resolution is affected by the aperture diaphragm. It should be adjusted so that the numerical aperture of the condenser matches that of the objective, see Light Microscopy p. 19. d) If the eye pupil does not coincide with the exit pupil of the microscope, we will not be able to see the entire field of view simultaneously. This feels rather like looking through a keyhole. The reason for this phenomenon is that rays of all different directions (corresponding to different positions in the specimen plane) form a beam waist at the exit pupil. If the eye is held there all these rays can enter the eye simultaneously. If not, rays from some directions will miss the eye pupil. Problem λ If the phase angle ϕ changes by 1, corresponding to an optical path difference of, the light 30 intensity will change by approx. 0%. The optical path difference is then given by 550 ( n 1 ) d = 0.5d = nm d = 37 nm. Thus, we can expect that a glass thickness of 30 approximately 40 nm can be detected. Problem 3 True. Given the psf we can calculate, for an arbitrary object, what the image function will be. (The image function is the convolution of the object function and the psf, see Imaging Physics page ) True. This is a more limited case than the one above. Both are therefore true. False. For an arbitrary (i.e. not diffraction-limited) optical system we cannot deduce the psf from the Rayleigh limit alone. Systems with different psfs can have the same Rayleigh limit. Knowledge of the psf is necessary to completely characterize the imaging properties. True. If we know the Rayleigh limit of a diffraction-limited system we know what the psf looks like (Light Microscopy, p ). According to case 1 above, we then know exactly what the imaging properties are. Problem 4 a) If the Rayleigh criterion and optical section thickness are taken as resolution measures, we get: 0.45λ 0.45λ 8.5λ Volume resolution =. This means that the volume resolution is proportional to λ 3. N. A. N. A. 8πnsin ( α ) b) In order to solve this, we have to find out how the optical section thickness depends on the α 1 1 sin sin ( α) =.. 4 N A 4n Therefore the volume resolution is proportional to ( N. A. ) 4. numerical aperture. If we assume that N.A. is small, we get ( ) ( ) Problem 5 A suitable choice would be beam-splitter b and barrier filter 3. In this way most of the laser light will be reflected towards the specimen, and the fluorescent light will be efficiently transmitted by the beamsplitter (a would reflect very little laser light towards the specimen, whereas c and d would mean that we waste fluorescent light). Barrier filter 3 is the best choice, given the requirement that we must.
15 15 block all laser light (note that all beam-splitters transmit a few percent of the laser light reflected back from the specimen) and transmit as much as possible of the fluorescent light. Problem 6 With the CCD matrix used, we have a sampling frequency of 100 mm -1, meaning that the highest spatial frequency we can correctly record is 50 mm -1. The objective can reproduce much higher frequencies than this, and this is true also for the detector MTF, whose first zero value occurs at 00 mm -1 (x direction) and 50 mm -1 (y direction). Total MTF is the product the component MTFs, and therefore we need to add a component whose limiting frequency is 50 mm -1. We should therefore add the anti-aliasing filter with the lowest limiting frequency, which is 50 mm -1 ; the others cannot prevent aliasing completely. A disadvantage with using an anti-aliasing filter is that the modulation (i.e. contrast) for frequencies well below 50 mm -1 will also be considerably reduced. Therefore the image will not appear as sharp as it would otherwise be. Problem 7 SNR = mean value standard deviation = n k= 1 1 n i k k= 1 ( i i ) k n mean, where i k represents the value from an individual n 1 measurement. When using an image intensifier, all light values will be larger by a factor of F (= 1000 in this case). Thus, all i-values in the above equation will be replaced by Fi. We then get SNR = mean value standard deviation = n k= 1 1 n k= 1 Fi ( Fi Fi ) k n k mean, which gives exactly the same SNR as in the n 1 previous case. Using an image intensifier will produce both a larger output signal and higher noise, but the SNR will be the same (compare electron multiplication in a photomultiplier tube, which will produce the same effect). Problem 8 N.A. In the non-confocal case the highest spatial frequency that can be imaged is given by (see Fig. λ 8 in compendium Light Microscopy ), where λ is the fluorescence wavelength (all imaging is done in visible light - the X-rays are only used for flooding an extended area of the specimen with energy to excite the fluorophore molecules). In the case of confocal microscopy, however, the X-rays will be focused to a diffraction-limited (i.e. very small) spot by the objective. The same objective will then image fluorescent light from the (X-ray) illuminated spot onto the detector aperture. As a result, the N.A. N.A. spatial frequecy cut-off for the system will be given by + (see compendium Light λexc. λfluor. Microscopy p. 36). In the first case, the spatial frequency cut-off is given by N.A. 6 = N.A. m -1, which is equal to 3.6 N.A. μm -1. Thus, in this case resolution is not improved by using X-ray excitation. In the second case, the resolution is determined almost N.A. N.A. 8 entirely by the first term = = N.A. m -1, which is equal to 9 λexc N.A. μm -1. In this case we really get a benefit from the short wavelength of the X-rays.
16 16 Problem 9 Using an N.A objective, the highest spatial frequency that can be imaged is N. A = m 3.3 μm -1. Therefore, we know that the true spatial frequency is λ somewhere between 1.8 and 3.3 μm -1. The sampling frequency is 3.0 μm -1, meaning that the highest frequency that can be correctly recorded is 1.5 μm -1. We clearly have a case of aliasing, and frequency ν alias = 0.90 μm -1. Using the formula for aliasing in Appendix 8 of Imaging Physics, we get ν alias = n νsampling νreal, where n is a positive integer number. n = 1 is the only possibility, since = 9 n > 1 would give ν real > 5 μm -1. For n = 1 we get two possibilities, namely ν real =.1 and ν real = 3.9 μm is outside the possible range, and therefore the spatial frequency of the structure must be.1 μm -1. Problem 10 a) The OTF is the Fourier transform of the psf, normalized to unity at zero spatial frequency. Using the FT table on p. 310 in β, we find that OTF vibrations = πν e = e PTF vibrations = 0. 7 ν. This means that MTF vibrations = OTF vibrations, and b) With the objective used (asuming nearly diffraction-limited performance), we get an MTF objective that decreases almost linearly, reaching zero at N.A νlimit = = = m -1. We therefore get MTF λ 9 vibrations (ν limit ) = , and MTF vibrations (ν limit /) = This means that the vibrations will cause a serious deterioration in image quality. Problem An irradiance level of 1.0 mw/mm 15 means that = excitation photons reach hc λ the specimen per second and mm 4. Since the efficiency is only the number of photons will be reduced by this factor. Furthermore, because of the magnification, they will be spread out over an 7 area that is times larger. As a result, fluorescence photons reach the image plane per second and mm 4. With a detector element area of mm 3, photons will reach a detector element per second. Only half of the photons will be detected, and therefore photons will be detected per second. In order to get a SNR of 0, we need to detect (on average) 400 photons in a measurement. With the given photon flow, this will number is obtained in = seconds. Therefore, we can record a maximum of approximately three images per second.
17 17 Problem 1 sin(u / ) The light intensity as a function of defocus, z, is given by I(u) =, where u / 8π u = z sin ( α / ), and α is obtained from N.A. = sin α. A little trial-and-error qickly shows λ that u = 0.78 will give I(u) = From this we can calculate that 9 uλ z = = = m = 0.16 μm. This means that when the o 8π sin ( α / ) 8π sin (0.3 ) vibrational amplitude is greater than 0.16 μm, we will get a drop in light intensity that exceeds 5%. Problem 13 From page 39 in the compendium Light Microscopy we get the maximum spatial frequency components that can be imaged in all three dimensions: 4N.A νmax, xy = = = m -1 9 λ ( N.A. ) ( 1.3) 6 νmax, z = = =.0 10 m -1 9 λn According to the sampling theorem we must sample with the following frequencies to record all information: 7 νs, xy = νmax,xy = samples/m. 6 νs, z = νmax,z = samples/m. The total number of samples necessary in a 100μ m 100μm 100μm volume is ( ) = sampling points. With one byte of data per sampling point we get 1.4 gigabytes of data (which is no big deal today). Problem 14 4 We can expect that altogether photons will be emitted by the fluorophore molecule we are studying. How many of these can we expect to record? Since the photons are emitted isotropically we must find the solid angle under which we collect photons and compare this with the total solid angle of 4π. Spherical surface, area = A dφ φ α r Flat, circular surface, area = A N.A. = n sin α Specimen
18 18 A The microscope objective will collect photons under a solid angle of Ω =. We can calculate Ω r r dφ π r sin φ from dω = = π sin φ dφ, and integrate over φ from 0 to α. We then get r Ω = π( 1 cosα), i.e. the same result as eq. 10 in Light Microscopy. This is an exact formula. Since the task is to estimate the photon number, it is allowed to make a simpler small angle A π( r sin α) estimation of the solid angle which gives Ω = = π sin α. r r For an oil immersion objective with N.A. = 1, we get α = The exact formula then gives Ω = 1.55 steradians (the approximate formula gives 1.36) Thus, the fraction of photons that will be collected by the objective is = Because of 4π losses in the optics and detector, only the fraction = 0. 0 of these will be detected. Therefore, the total number of detected photons is expected to be =.5 10 (using the approximate solid angle, we get. 10 ). How long will it take to record this number of photons? On average, one photon will be emitted every 3.5 ns. This means that it takes = s = 35 μs for the molecule to emit ten thousand photons (of which we detect about 50), and then it will be dead. Problem 15 The objective transmits λ > 350 nm. For excitation we need λ < 400 nm. The only excitation wavelength that fulfills these requirements is 365nm. This wavelength is not ideal for excitation of the fluorophore ( 310 should be optimal), but the emission is intense and should be quite sufficient. The excitation filter should therefore be 365 ± 5. The dichroic filter should reflect 365 nm efficiently, but transmit as much as possible of the fluorescent light. d fulfills these requirements. The barrier filter must remove all of the remaining 365 nm radiation that is transmitted by the dichroic filter. This means that we have to choose b even though it will absorb some of the fluorescent light. Problem 16 a) Degree of modulation in recorded image = Degree of modulation in object MTF. We must determine the MTF-value for the entire imaging chain at the spatial frequency of the fluorescent pattern. MTF total = MTFoptics MTFdetector. MTF optics is given by the diffraction-limited curve in Fig. 8 in the compendium Light Microscopy. The spatial frequency of the pattern is ν = ( ) = m -1. The limiting frequency is N.A = = m -1 (we have assumed a wavelength of 550 nm). This 9 λ means that the spatial frequency of the pattern is 0.53 times the limiting frequency. From the curve in Fig. 8 in Light Microscopy we can measure that MTF optics at this frequency. For the detector we get (see compendium on Imaging Physics) ( πνl) MTF = sin detector, where ν is the spatial frequency of the magnified image of the πνl pattern, i.e. = m -1, and L is the width of a detector element, i.e. 5
19 m. Inserting these numbers, we get MTF detector = As a result, MTF total = Since the degree of modulation in the object was nearly 100%, we can expect that the degree of modulation in the recorded image will be nearly 30%. b) In order to correctly record the spatial frequency of the image we must have at least two sample points per period of the pattern (sampling theorem). The period length in the image 6 5 will be =.0 10 m = 0 μm. Since the distance between sample points is 7.5 μm, we get.7 sample points per period, and therefore the sampling theorem is fulfilled. Yes, the pattern will be recorded with correct period length. Problem 17 Equation 18 in the compendium Light Microscopy gives the FWHM optical sectioning thickness in o confocal fluorescence microscopy. In the current example α = arctan =.86. We get FWHM = =.7 10 m = 0.3 mm. This is far from microscopic resolution, but o 8π sin ( 1.43 ) can still give valuable information concerning skin structures. Problem 18 Let us denote the sensor width (10 μm) by D. The sensor then has a sampling frequency in the x 1 1 direction of. This means that aliasing occurs for frequencies above (= half the sampling D D frequency). A sensor with uniform sensitivity over the entire width D, and zero outside, will have an sin( πνd) 1 MTF given by MTF( ν ) =, where ν is the spatial frequency. At a frequency of we πνd D get an MTF-value of 0.64, and for higher frequencies we get lower values. This means that for spatial frequencies where aliasing occurs, we always get MTF < This in turn means that when aliasing occurs the degree of modulation of the pattern obtained will always be lower than 0.64 (the degree of modulation in the original pattern can never be higher than unity). A simple measurement in the figure gives a degree of modulation slightly above 0.8, and therefore we can conclude that aliasing cannot have taken place. Problem 19 Assuming perfect optics, and an infinitely small detector aperture, a confocal microscope can record 4N.A. ( ) N.A. spatial frequencies up to in the horizontal direction and in the vertical direction (p. λ λ 39 in compendium Light Microscopy ). With current data inserted into these equations, we get the frequencies 77 mm -1 (horizontal) and 18. mm -1 (vertical). In order to correctly record these maximum frequencies without aliasing, we have to use sampling densities of twice these values, i.e mm -1 and 36.4 mm -1. In reality we could probably use somewhat lower sampling densitites, because the MTF-value becomes very low as we approach the limiting frequency, see Fig. in Light Microscopy ). As we can see, there is a large difference in the maximum frequencies that can be recorded in the horizontal and vertical directions respectively (a factor of 40!). Therefore we can expect rather serious problems with different resolution in the horizontal and vertical directions.
20 0 Problem 0 The maximum SNR possible in a measurement where we can expect N photons to be detected is 4 N. In case 1 N = τ, where τ is the measurement time, and therefore we get τ αt I0 ατ 100τ SNR = 100 τ. In case we get N = I0e dt = ( 1 e ) = 100( 1 e ), and α 0 100τ therefore SNR = 10 1 e. In case one can easily calculate that at τ = 0.04 seconds we have reached 99% of maximum SNR, and certainly it is rather pointless to go on measuring after that.
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 informationExamination, TEN1, in courses SK2500/SK2501, Physics of Biomedical Microscopy,
KTH Applie Physics Examination, TEN1, in courses SK2500/SK2501, Physics of Biomeical Microscopy, 2017-01-10, 8-13, FA32 Allowe ais: Compenium Imaging Physics (hane out) Compenium Light Microscopy (hane
More information3D light microscopy techniques
3D light microscopy techniques The image of a point is a 3D feature In-focus image Out-of-focus image The image of a point is not a point Point Spread Function (PSF) 1D imaging 1 1 2! NA = 0.5! NA 2D imaging
More informationVISUAL 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 information3D light microscopy techniques
3D light microscopy techniques The image of a point is a 3D feature In-focus image Out-of-focus image The image of a point is not a point Point Spread Function (PSF) 1D imaging 2D imaging 3D imaging Resolution
More informationa) How big will that physical image of the cells be your camera sensor?
1. Consider a regular wide-field microscope set up with a 60x, NA = 1.4 objective and a monochromatic digital camera with 8 um pixels, properly positioned in the primary image plane. This microscope is
More informationPoint Spread Function. Confocal Laser Scanning Microscopy. Confocal Aperture. Optical aberrations. Alternative Scanning Microscopy
Bi177 Lecture 5 Adding the Third Dimension Wide-field Imaging Point Spread Function Deconvolution Confocal Laser Scanning Microscopy Confocal Aperture Optical aberrations Alternative Scanning Microscopy
More informationIntroduction to Light Microscopy. (Image: T. Wittman, Scripps)
Introduction to Light Microscopy (Image: T. Wittman, Scripps) The Light Microscope Four centuries of history Vibrant current development One of the most widely used research tools A. Khodjakov et al. Major
More informationModulation Transfer Function
Modulation Transfer Function The resolution and performance of an optical microscope can be characterized by a quantity known as the modulation transfer function (MTF), which is a measurement of the microscope's
More informationDigital Camera Technologies for Scientific Bio-Imaging. Part 2: Sampling and Signal
Digital Camera Technologies for Scientific Bio-Imaging. Part 2: Sampling and Signal Yashvinder Sabharwal, 1 James Joubert 2 and Deepak Sharma 2 1. Solexis Advisors LLC, Austin, TX, USA 2. Photometrics
More informationEE119 Introduction to Optical Engineering Spring 2003 Final Exam. Name:
EE119 Introduction to Optical Engineering Spring 2003 Final Exam Name: SID: CLOSED BOOK. THREE 8 1/2 X 11 SHEETS OF NOTES, AND SCIENTIFIC POCKET CALCULATOR PERMITTED. TIME ALLOTTED: 180 MINUTES Fundamental
More informationMASSACHUSETTS INSTITUTE OF TECHNOLOGY Mechanical Engineering Department. 2.71/2.710 Final Exam. May 21, Duration: 3 hours (9 am-12 noon)
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Mechanical Engineering Department 2.71/2.710 Final Exam May 21, 2013 Duration: 3 hours (9 am-12 noon) CLOSED BOOK Total pages: 5 Name: PLEASE RETURN THIS BOOKLET WITH
More informationΕισαγωγική στην Οπτική Απεικόνιση
Εισαγωγική στην Οπτική Απεικόνιση Δημήτριος Τζεράνης, Ph.D. Εμβιομηχανική και Βιοϊατρική Τεχνολογία Τμήμα Μηχανολόγων Μηχανικών Ε.Μ.Π. Χειμερινό Εξάμηνο 2015 Light: A type of EM Radiation EM radiation:
More informationKatarina Logg, Kristofer Bodvard, Mikael Käll. Dept. of Applied Physics. 12 September Optical Microscopy. Supervisor s signature:...
Katarina Logg, Kristofer Bodvard, Mikael Käll Dept. of Applied Physics 12 September 2007 O1 Optical Microscopy Name:.. Date:... Supervisor s signature:... Introduction Over the past decades, the number
More informationBio 407. Applied microscopy. Introduction into light microscopy. José María Mateos. Center for Microscopy and Image Analysis
Center for Microscopy and Image Analysis Bio 407 Applied Introduction into light José María Mateos Fundamentals of light Compound microscope Microscope composed of an objective and an additional lens (eyepiece,
More informationHigh resolution extended depth of field microscopy using wavefront coding
High resolution extended depth of field microscopy using wavefront coding Matthew R. Arnison *, Peter Török #, Colin J. R. Sheppard *, W. T. Cathey +, Edward R. Dowski, Jr. +, Carol J. Cogswell *+ * Physical
More informationLecture Notes 10 Image Sensor Optics. Imaging optics. Pixel optics. Microlens
Lecture Notes 10 Image Sensor Optics Imaging optics Space-invariant model Space-varying model Pixel optics Transmission Vignetting Microlens EE 392B: Image Sensor Optics 10-1 Image Sensor Optics Microlens
More informationSensitive measurement of partial coherence using a pinhole array
1.3 Sensitive measurement of partial coherence using a pinhole array Paul Petruck 1, Rainer Riesenberg 1, Richard Kowarschik 2 1 Institute of Photonic Technology, Albert-Einstein-Strasse 9, 07747 Jena,
More informationMicroscopy. Matti Hotokka Department of Physical Chemistry Åbo Akademi University
Microscopy Matti Hotokka Department of Physical Chemistry Åbo Akademi University What s coming Anatomy of a microscope Modes of illumination Practicalities Special applications Basic microscope Ocular
More informationDiffraction. Interference with more than 2 beams. Diffraction gratings. Diffraction by an aperture. Diffraction of a laser beam
Diffraction Interference with more than 2 beams 3, 4, 5 beams Large number of beams Diffraction gratings Equation Uses Diffraction by an aperture Huygen s principle again, Fresnel zones, Arago s spot Qualitative
More informationVery short introduction to light microscopy and digital imaging
Very short introduction to light microscopy and digital imaging Hernan G. Garcia August 1, 2005 1 Light Microscopy Basics In this section we will briefly describe the basic principles of operation and
More informationECEN 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 informationPhysics 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 informationHeisenberg) relation applied to space and transverse wavevector
2. Optical Microscopy 2.1 Principles A microscope is in principle nothing else than a simple lens system for magnifying small objects. The first lens, called the objective, has a short focal length (a
More informationAkinori Mitani and Geoff Weiner BGGN 266 Spring 2013 Non-linear optics final report. Introduction and Background
Akinori Mitani and Geoff Weiner BGGN 266 Spring 2013 Non-linear optics final report Introduction and Background Two-photon microscopy is a type of fluorescence microscopy using two-photon excitation. It
More informationReflecting optical system to increase signal intensity. in confocal microscopy
Reflecting optical system to increase signal intensity in confocal microscopy DongKyun Kang *, JungWoo Seo, DaeGab Gweon Nano Opto Mechatronics Laboratory, Dept. of Mechanical Engineering, Korea Advanced
More informationTSBB09 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 informationPractical Light Microscopy
Biomedical & X-ray Physics Kjell Carlsson Important: Study the preparatory exercises carefully before the lab session starts! Practical Light Microscopy Laboratory instructions for course SK2500/01, Physics
More informationmicroscopy A great online resource Molecular Expressions, a Microscope Primer Partha Roy
Fundamentals of optical microscopy A great online resource Molecular Expressions, a Microscope Primer http://micro.magnet.fsu.edu/primer/index.html Partha Roy 1 Why microscopy Topics Functions of a microscope
More informationSingle-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 informationEducation in Microscopy and Digital Imaging
Contact Us Carl Zeiss Education in Microscopy and Digital Imaging ZEISS Home Products Solutions Support Online Shop ZEISS International ZEISS Campus Home Interactive Tutorials Basic Microscopy Spectral
More informationSystems Biology. Optical Train, Köhler Illumination
McGill University Life Sciences Complex Imaging Facility Systems Biology Microscopy Workshop Tuesday December 7 th, 2010 Simple Lenses, Transmitted Light Optical Train, Köhler Illumination What Does a
More informationObservational 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 informationINTRODUCTION 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 informationPractical Flatness Tech Note
Practical Flatness Tech Note Understanding Laser Dichroic Performance BrightLine laser dichroic beamsplitters set a new standard for super-resolution microscopy with λ/10 flatness per inch, P-V. We ll
More informationTRAINING MANUAL. Multiphoton Microscopy LSM 510 META-NLO
TRAINING MANUAL Multiphoton Microscopy LSM 510 META-NLO September 2010 Multiphoton Microscopy Training Manual Multiphoton microscopy is only available on the LSM 510 META-NLO system. This system is equipped
More informationSharpness, Resolution and Interpolation
Sharpness, Resolution and Interpolation Introduction There are a lot of misconceptions about resolution, camera pixel count, interpolation and their effect on astronomical images. Some of the confusion
More informationCHAPTER 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 information1 Co Localization and Working flow with the lsm700
1 Co Localization and Working flow with the lsm700 Samples -1 slide = mousse intestine, Dapi / Ki 67 with Cy3/ BrDU with alexa 488. -1 slide = mousse intestine, Dapi / Ki 67 with Cy3/ no BrDU (but with
More informationOptical 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 informationImaging Introduction. September 24, 2010
Imaging Introduction September 24, 2010 What is a microscope? Merriam-Webster: an optical instrument consisting of a lens or combination of lenses for making enlarged images of minute objects; especially:
More informationOptical System Design
Phys 531 Lecture 12 14 October 2004 Optical System Design Last time: Surveyed examples of optical systems Today, discuss system design Lens design = course of its own (not taught by me!) Try to give some
More informationPHY 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 informationMicroscopy: Fundamental Principles and Practical Approaches
Microscopy: Fundamental Principles and Practical Approaches Simon Atkinson Online Resource: http://micro.magnet.fsu.edu/primer/index.html Book: Murphy, D.B. Fundamentals of Light Microscopy and Electronic
More informationNikon Instruments Europe
Nikon Instruments Europe Recommendations for N-SIM sample preparation and image reconstruction Dear customer, We hope you find the following guidelines useful in order to get the best performance out of
More informationBasics of confocal imaging (part I)
Basics of confocal imaging (part I) Swiss Institute of Technology (EPFL) Faculty of Life Sciences Head of BIOIMAGING AND OPTICS BIOP arne.seitz@epfl.ch Lateral resolution BioImaging &Optics Platform Light
More informationImaging Systems Laboratory II. Laboratory 8: The Michelson Interferometer / Diffraction April 30 & May 02, 2002
1051-232 Imaging Systems Laboratory II Laboratory 8: The Michelson Interferometer / Diffraction April 30 & May 02, 2002 Abstract. In the last lab, you saw that coherent light from two different locations
More informationCriteria for Optical Systems: Optical Path Difference How do we determine the quality of a lens system? Several criteria used in optical design
Criteria for Optical Systems: Optical Path Difference How do we determine the quality of a lens system? Several criteria used in optical design Computer Aided Design Several CAD tools use Ray Tracing (see
More informationTest 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 informationResolution. Diffraction from apertures limits resolution. Rayleigh criterion θ Rayleigh = 1.22 λ/d 1 peak at 2 nd minimum. θ f D
Microscopy Outline 1. Resolution and Simple Optical Microscope 2. Contrast enhancement: Dark field, Fluorescence (Chelsea & Peter), Phase Contrast, DIC 3. Newer Methods: Scanning Tunneling microscopy (STM),
More informationAdministrative details:
Administrative details: Anything from your side? www.photonics.ethz.ch 1 What are we actually doing here? Optical imaging: Focusing by a lens Angular spectrum Paraxial approximation Gaussian beams Method
More informationInvitation for a walk through microscopy. Sebastian Schuchmann Jörg Rösner
Invitation for a walk through microscopy Sebastian Schuchmann Jörg Rösner joerg.roesner@charite.de Techniques in microscopy Conventional (light) microscopy bright & dark field, phase & interference contrast
More informationRadial Polarization Converter With LC Driver USER MANUAL
ARCoptix Radial Polarization Converter With LC Driver USER MANUAL Arcoptix S.A Ch. Trois-portes 18 2000 Neuchâtel Switzerland Mail: info@arcoptix.com Tel: ++41 32 731 04 66 Principle of the radial polarization
More informationMicroscopy Training & Overview
Microscopy Training & Overview Product Marketing October 2011 Stephan Briggs - PLE OVERVIEW AND PRESENTATION FLOW Glossary and Important Terms Introduction Timeline Innovation and Advancement Primary Components
More informationIMAGE 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 informationProperties of optical instruments. Visual optical systems part 2: focal visual instruments (microscope type)
Properties of optical instruments Visual optical systems part 2: focal visual instruments (microscope type) Examples of focal visual instruments magnifying glass Eyepieces Measuring microscopes from the
More informationBoulevard du Temple Daguerrotype (Paris,1838) a busy street? Nyquist sampling for movement
Boulevard du Temple Daguerrotype (Paris,1838) a busy street? Nyquist sampling for movement CONFOCAL MICROSCOPY BioVis Uppsala, 2017 Jeremy Adler Matyas Molnar Dirk Pacholsky Widefield & Confocal Microscopy
More informationEE119 Introduction to Optical Engineering Fall 2009 Final Exam. Name:
EE119 Introduction to Optical Engineering Fall 2009 Final Exam Name: SID: CLOSED BOOK. THREE 8 1/2 X 11 SHEETS OF NOTES, AND SCIENTIFIC POCKET CALCULATOR PERMITTED. TIME ALLOTTED: 180 MINUTES Fundamental
More informationOptical design of a high resolution vision lens
Optical design of a high resolution vision lens Paul Claassen, optical designer, paul.claassen@sioux.eu Marnix Tas, optical specialist, marnix.tas@sioux.eu Prof L.Beckmann, l.beckmann@hccnet.nl Summary:
More informationRates of excitation, emission, ISC
Bi177 Lecture 4 Fluorescence Microscopy Phenomenon of Fluorescence Energy Diagram Rates of excitation, emission, ISC Practical Issues Lighting, Filters More on diffraction Point Spread Functions Thus Far,
More informationOPTICAL PRINCIPLES OF MICROSCOPY. Interuniversity Course 28 December 2003 Aryeh M. Weiss Bar Ilan University
OPTICAL PRINCIPLES OF MICROSCOPY Interuniversity Course 28 December 2003 Aryeh M. Weiss Bar Ilan University FOREWORD This slide set was originally presented at the ISM Workshop on Theoretical and Experimental
More informationX-ray generation by femtosecond laser pulses and its application to soft X-ray imaging microscope
X-ray generation by femtosecond laser pulses and its application to soft X-ray imaging microscope Kenichi Ikeda 1, Hideyuki Kotaki 1 ' 2 and Kazuhisa Nakajima 1 ' 2 ' 3 1 Graduate University for Advanced
More informationBASICS OF CONFOCAL IMAGING (PART I)
BASICS OF CONFOCAL IMAGING (PART I) INTERNAL COURSE 2012 LIGHT MICROSCOPY Lateral resolution Transmission Fluorescence d min 1.22 NA obj NA cond 0 0 rairy 0.61 NAobj Ernst Abbe Lord Rayleigh Depth of field
More informationConfocal Microscopy and Related Techniques
Confocal Microscopy and Related Techniques Chau-Hwang Lee Associate Research Fellow Research Center for Applied Sciences, Academia Sinica 128 Sec. 2, Academia Rd., Nankang, Taipei 11529, Taiwan E-mail:
More informationANSWER KEY Lab 2 (IGB): Bright Field and Fluorescence Optical Microscopy and Sectioning
Phys598BP Spring 2016 University of Illinois at Urbana-Champaign ANSWER KEY Lab 2 (IGB): Bright Field and Fluorescence Optical Microscopy and Sectioning Location: IGB Core Microscopy Facility Microscope:
More informationPrecision-tracking of individual particles By Fluorescence Photo activation Localization Microscopy(FPALM) Presented by Aung K.
Precision-tracking of individual particles By Fluorescence Photo activation Localization Microscopy(FPALM) Presented by Aung K. Soe This FPALM research was done by Assistant Professor Sam Hess, physics
More informationIntroduction to light microscopy
Center for Microscopy and Image Anaylsis Introduction to light microscopy Basic concepts of imaging with light Urs Ziegler ziegler@zmb.uzh.ch Light interacting with matter Absorbtion Refraction Diffraction
More informationZero Focal Shift in High Numerical Aperture Focusing of a Gaussian Laser Beam through Multiple Dielectric Interfaces. Ali Mahmoudi
1 Zero Focal Shift in High Numerical Aperture Focusing of a Gaussian Laser Beam through Multiple Dielectric Interfaces Ali Mahmoudi a.mahmoudi@qom.ac.ir & amahmodi@yahoo.com Laboratory of Optical Microscopy,
More informationOPTICAL IMAGE FORMATION
GEOMETRICAL IMAGING First-order image is perfect object (input) scaled (by magnification) version of object optical system magnification = image distance/object distance no blurring object distance image
More informationMicroscope anatomy, image formation and resolution
Microscope anatomy, image formation and resolution Ian Dobbie Buy this book for your lab: D.B. Murphy, "Fundamentals of light microscopy and electronic imaging", ISBN 0-471-25391-X Visit these websites:
More informationFlatness 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 informationPolarization Experiments Using Jones Calculus
Polarization Experiments Using Jones Calculus Reference http://chaos.swarthmore.edu/courses/physics50_2008/p50_optics/04_polariz_matrices.pdf Theory In Jones calculus, the polarization state of light is
More informationSupplementary Information for. Surface Waves. Angelo Angelini, Elsie Barakat, Peter Munzert, Luca Boarino, Natascia De Leo,
Supplementary Information for Focusing and Extraction of Light mediated by Bloch Surface Waves Angelo Angelini, Elsie Barakat, Peter Munzert, Luca Boarino, Natascia De Leo, Emanuele Enrico, Fabrizio Giorgis,
More informationIII III 0 IIOI DID IIO 1101 I II 0II II 100 III IID II DI II
(19) United States III III 0 IIOI DID IIO 1101 I0 1101 0II 0II II 100 III IID II DI II US 200902 19549A1 (12) Patent Application Publication (10) Pub. No.: US 2009/0219549 Al Nishizaka et al. (43) Pub.
More informationMICROSCOPE LAB. Resolving Power How well specimen detail is preserved during the magnifying process.
AP BIOLOGY Cells ACTIVITY #2 MICROSCOPE LAB OBJECTIVES 1. Demonstrate proper care and use of a compound microscope. 2. Identify the parts of the microscope and describe the function of each part. 3. Compare
More informationLaser and LED retina hazard assessment with an eye simulator. Arie Amitzi and Menachem Margaliot Soreq NRC Yavne 81800, Israel
Laser and LED retina hazard assessment with an eye simulator Arie Amitzi and Menachem Margaliot Soreq NRC Yavne 81800, Israel Laser radiation hazard assessment Laser and other collimated light sources
More informationDevelopment of a High-speed Super-resolution Confocal Scanner
Development of a High-speed Super-resolution Confocal Scanner Takuya Azuma *1 Takayuki Kei *1 Super-resolution microscopy techniques that overcome the spatial resolution limit of conventional light microscopy
More informationObserving Microorganisms through a Microscope LIGHT MICROSCOPY: This type of microscope uses visible light to observe specimens. Compound Light Micros
PHARMACEUTICAL MICROBIOLOGY JIGAR SHAH INSTITUTE OF PHARMACY NIRMA UNIVERSITY Observing Microorganisms through a Microscope LIGHT MICROSCOPY: This type of microscope uses visible light to observe specimens.
More informationFLUORESCENCE MICROSCOPY. Matyas Molnar and Dirk Pacholsky
FLUORESCENCE MICROSCOPY Matyas Molnar and Dirk Pacholsky 1 The human eye perceives app. 400-700 nm; best at around 500 nm (green) Has a general resolution down to150-300 μm (human hair: 40-250 μm) We need
More informationChapter 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 informationDynamic beam shaping with programmable diffractive optics
Dynamic beam shaping with programmable diffractive optics Bosanta R. Boruah Dept. of Physics, GU Page 1 Outline of the talk Introduction Holography Programmable diffractive optics Laser scanning confocal
More informationApplications 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 informationIntroduction to light microscopy
Center for Microscopy and Image Anaylsis Introduction to light Basic concepts of imaging with light Urs Ziegler ziegler@zmb.uzh.ch Microscopy with light 1 Light interacting with matter Absorbtion Refraction
More informationLOS 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 informationConfocal 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 informationFinal Exam, 150 points PMB 185: Techniques in Light Microscopy
Final Exam, 150 points Name PMB 185: Techniques in Light Microscopy Point value is in parentheses at the end of each question. Note: GFP = green fluorescent protein ; CFP = cyan fluorescent protein ; YFP
More informationConfocal Microscopy. Kristin Jensen
Confocal Microscopy Kristin Jensen 17.11.05 References Cell Biological Applications of Confocal Microscopy, Brian Matsumoto, chapter 1 Studying protein dynamics in living cells,, Jennifer Lippincott-Schwartz
More informationCCAM Microscope Objectives
CCAM Microscope Objectives Things to consider when selecting an objective Magnification Numerical Aperture (NA) resolving power and light intensity of the objective Working Distance distance between the
More informationIntorduction to light sources, pinhole cameras, and lenses
Intorduction to light sources, pinhole cameras, and lenses Erik G. Learned-Miller Department of Computer Science University of Massachusetts, Amherst Amherst, MA 01003 October 26, 2011 Abstract 1 1 Analyzing
More informationINTRODUCTION TO OPTICAL MICROSCOPY
Experimental Biophysics TEK265, FYST23, TNF060, FAF010F Lab Exercise Supervisor: Karl Adolfsson Written by Peter Jönsson and Jason Beech Updated by Henrik Persson, Karl Adolfsson and Zhen Li karl.adolfsson@ftf.lth.se
More informationTraining Guide for Leica SP8 Confocal/Multiphoton Microscope
Training Guide for Leica SP8 Confocal/Multiphoton Microscope LAS AF v3.3 Optical Imaging & Vital Microscopy Core Baylor College of Medicine (2017) Power ON Routine 1 2 Turn ON power switch for epifluorescence
More informationDesign Description Document
UNIVERSITY OF ROCHESTER Design Description Document Flat Output Backlit Strobe Dare Bodington, Changchen Chen, Nick Cirucci Customer: Engineers: Advisor committee: Sydor Instruments Dare Bodington, Changchen
More informationApplication Note (A11)
Application Note (A11) Slit and Aperture Selection in Spectroradiometry REVISION: C August 2013 Gooch & Housego 4632 36 th Street, Orlando, FL 32811 Tel: 1 407 422 3171 Fax: 1 407 648 5412 Email: sales@goochandhousego.com
More informationIntroduction. Chapter 16 Diagnostic Radiology. Primary radiological image. Primary radiological image
Introduction Chapter 16 Diagnostic Radiology Radiation Dosimetry I Text: H.E Johns and J.R. Cunningham, The physics of radiology, 4 th ed. http://www.utoledo.edu/med/depts/radther In diagnostic radiology
More informationCCAM s Selection of. Zeiss Microscope Objectives
CCAM s Selection of Zeiss Microscope Objectives 1. Magnification Image scale 2. Resolution The minimum separation distance between two points that are clearly resolved. The resolution of an objective is
More informationShaping light in microscopy:
Shaping light in microscopy: Adaptive optical methods and nonconventional beam shapes for enhanced imaging Martí Duocastella planet detector detector sample sample Aberrated wavefront Beamsplitter Adaptive
More informationBe 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 informationLaser 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 informationOptical Performance of Nikon F-Mount Lenses. Landon Carter May 11, Measurement and Instrumentation
Optical Performance of Nikon F-Mount Lenses Landon Carter May 11, 2016 2.671 Measurement and Instrumentation Abstract In photographic systems, lenses are one of the most important pieces of the system
More informationThings to check before start-up.
Byeong Cha Page 1 11/24/2009 Manual for Leica SP2 Confocal Microscope Enter you name, the date, the time, and the account number in the user log book. Things to check before start-up. Make sure that your
More information