Sub-Millimeter RF Receiver. Sub-Millimeter 19Receiver. balanced using Polarization Vectors. Intrel Service Company

Size: px
Start display at page:

Download "Sub-Millimeter RF Receiver. Sub-Millimeter 19Receiver. balanced using Polarization Vectors. Intrel Service Company"

Transcription

1 Sub-Millimeter RF Receiver balanced using Polarization Vectors Intrel Service Company Sub-Millimeter Week of RF 19Receiver August 2012 Copyright Intrel Service Company 2012 Some Rights Company, Reserved Slide 1 c Intrel Service

2 What is Sub-Millimeter RF? Sub-mm wavelength uses Radio astronomy Short-range/space communications material identification c Intrel Service Company, Slide 2

3 Terahertz Semiconductor Receivers What do terahertz receivers look like? c Intrel Service Company, Slide 3

4 They use FETs/Diodes & Waveguides Small, complex, & delicate Waveguides: 145 X 310um, 3um tolerance or 5.7 X 12.1mils,.12mil tolerance c Intrel Service Company, Slide 4

5 They need Cryogenic Cooling Example SIS Mixer (Superconductor-Isolator-Superconductor) 290 K 77 K 12 K 4 K c Intrel Service Company, Slide 5

6 Sensitivities are far from "Photon Noise Limit" Ghz atmospheric window Noise temperature Receiver: 250 K Photon noise limit: 24 K Receiver operating temperature: 4 K c Intrel Service Company, Slide 6

7 A Better Solution: µwave/optics-hybrid Thermal Photo-Mixer Use microwave technology to get the Local Oscillator (LO) Use a mixer for gain Balance mixer to null LO noise Thermal detector from optics technology Operate at room temperature (!) Use a large, 3x3mm detector to match f/5 diffraction spot Eliminate: tiny waveguides and components dipole antenna and coupling network critical dimensions and distances c Intrel Service Company, Slide 7

8 What is photo-mixing? How does it work? Is there a suitable detector for these wavelengths? c Intrel Service Company, Slide 8

9 Photo-Mixer Concept It is just interference fringes! Bright signal Dark nothing Beams aligned: good Put the detector here (Airy's disk from circular aperture) Beams tipped: bad (Must align to better than 2.8 degrees) c Intrel Service Company, Slide 9

10 Mixer Math Review Antenna E1*sin( 1*t) + E2*sin( 2*t) Power Detector (pwr~e2) E12*sin2( 1*t) + 2*E1*E2*sin( 1*t)*sin( 2*t) + E22*sin2( 2*t) Math Handbook E1*E2*[cos( ( 1+ 2)*t ) - cos( ( 1-2)*t )] Mixer Gain (pwr1*pwr2) c Intrel Service Company, Slide 10

11 Detectors for 300µm and 300 K Type Golay cell Thermopile Bolometer Pyroelectric Opto-Mechanical* Principle gas expansion Seebeck effect resistance charge storage solid expansion D-Star f3db(hz) 1.6e e e e e *The OMD uses a Mechanical Expansion Amplifier (US Patent 7,707,896) c Intrel Service Company, Slide 11

12 Q: What intermediate frequency (IF) will the mixer generate? A: The IF frequency is at zero Hertz, sometimes called homodyne conversion rather than heterodyne conversion. Q: The frequencies below the LO appear at negative frequencies. What happens to them? A: They fold over to positive frequencies, superposing the lower sideband onto the upper. This works fine for molecular radiation and most modulation techniques used in communications. c Intrel Service Company, Slide 12

13 Homodyne (Direct) Detection Difference: where the IF filter is placed Thermal detector bandwidths 1.0 to 100KHz Radio astronomy, secure communications, signatures c Intrel Service Company, Slide 13

14 Q: Isn't oscillator phase noise a problem operating so close to the LO frequency? A: Yes, indeed it is. c Intrel Service Company, Slide 14

15 1.0THz Local Oscillator: Oewaves OEO 10 GHz spectrum. Multiplied to 1000 GHz. c Intrel Service Company, Slide 15

16 Q: What is mixer gain and what does it do to LO noise? A: The next slides illustrate the effects of mixer gain in 3 steps. Q: What is the goal? A: Show that mixer gain makes the proposed detector as sensitive as a state-of-the-art detector. Represent the sensitivity level of the state-of-the-art detector by a signal at the corresponding power level, _Sig. Show that mixer gain can bring that signal above the inherent detector noise, MEA_. Q: What does the first slide show? A: It shows the relative power levels of the detector noises (MEA_, Instr_, LO_n_) and the signal to be unburied (_Sig). The mixer gain is one, no gain. c Intrel Service Company, Slide 16

17 Start: Mixer with Low LO Power OMD detector, NEP ~ 2.5e-12 LO noise -40dbc (Watts) Start with Local Oscillator at target, P_lo= P_sig= 1.5e-18W/ Hz Mixer gain = 1.0: sqrt(p_sig*p_lo)/p_sig c Intrel Service Company, Slide 17

18 Q: What happens when the LO power is increased enough to amplify _Sig to MEA_? A: The blue arrow on the right shows the increase of LO power. The middle blue area shows the buried signal increasing amplitude in proportion to the square root of the LO power. On the left, the detector noises are unaffected. But the LO noise (LO_n_) increases along with the LO. Q: Isn't it bad news to have the LO noise greater than the signal and detector noise? A: Sure is. Something has to be done about that. c Intrel Service Company, Slide 18

19 Homodyne with LO Add LO Increase LO until Sig = OMD Noise Note LO noise. Oops! Need LO noise suppression c Intrel Service Company, Slide 19

20 Q: What are the red downward arrows in the next slide? A: They show the decrease in LO and LO noise power when a balanced mixer is used. The change represents a balancing to one part in 10,000. The balanced mixer configuration also increases the signal power by a factor of 2. Q: Is balanced mixing effective for semiconductor diode, FET, or bolometer detectors? A: Not very. It is difficult to get the two detector gains matched to much better than 5%, creating subtraction to only one part in 20. Q: So something special is done to get the 10,000 to 1 subtraction? A: Yes, indeed. c Intrel Service Company, Slide 20

21 Homodyne with Balanced LO Balancing brings noise below mixer (OMD) noise Preferred method: calc LO noise after balancing increase LO until LO noise = mixer noise use Sig-to-OMD margin to expand bandwidth c Intrel Service Company, Slide 21

22 Q: Balanced mixers are commonly used at radio frequencies. What is so different for sub-millimeter frequencies? A: The ±90 degree phase shifts required for balancing can be obtained using passive circuit components at low frequencies. At terahertz frequencies the phase shift is obtained from the path length difference to the two detectors. The path length and thus the phase shift is not very stable. Q: What does a state-of-the-art radiant wave balanced mixer look like? A: The next slide show the configuration used with lasers or microwave beams. c Intrel Service Company, Slide 22

23 Traditional Balanced Photo-Mixer Changes in any pink path-length will change the mixing phase. keep length << wavelength beam angles must be almost perfect, much less than 2.8 c Intrel Service Company, Slide 23

24 Q: Is there any solution to the path-length stability problem in terahertz balanced mixers? A: Yes, a novel polarization method was invented, designed, built, and tested by James A. Kuzdrall in Q: How is path-length phase change prevented? A: The LO and signal are combined on a mixing half-mirror before splitting to travel to their separate detectors. The relative phases are locked to each other at the same phase difference in both beams. There can be no path length induced phase changes to create noise. Q: If the relative phases to the two detectors are locked, how is the ±90 degree phase obtained? A: Using polarization, a radiant wave parameter which is completely independent of temporal phase, but can be used in the same way. c Intrel Service Company, Slide 24

25 Polarization Photo-Mixer Layout Signal & LO joined at Half-Mirror Relative phases locked! Signal converges to Airy's disk Any telescope f/# allowed No signal waste c Intrel Service Company, Slide 25

26 Polarization Vector Arithmetic Polarization resolves into a parallel and a perpendicular component on a polarizer, in the usual vector way. The parallel projection passes through while the perpendicular component is absorbed or reflected. Polarization vectors in instantaneously different directions subtract. In the same direction, they add. The LO is linearly polarized in a fixed direction. The polarizer axis are at +45 and -45 degrees to the LO polarization direction. The signal is randomly polarized, resolving into equal components along and perpendicular to each polarizer. The signal polarization changes over time, sometimes in the direction of the LO projection and sometimes in the opposite direction. There are 4 possible combinations of LO and signal polarization directions. c Intrel Service Company, Slide 26

27 Local Oscillator, all Cases The red lines in Cases 1 through 4 which follow represent the local oscillator. It always has the same amplitude and orientation. Equal amplitude projections (+1.5) appear on the left and right polarizers. They both go in the same direction, up. When the outputs of the right and left detectors are subtracted, their local oscillator responses will exactly cancel, along with their noise. The local oscillator output cancels for all 4 cases, as desired. The oscillator noise cancellation being accomplished, can it be shown that the signals do not also cancel? In Case 1, they do. Not a good start. c Intrel Service Company, Slide 27

28 Signal Vector Results, 4 Cases The green lines in the Cases represent the signal to be detected. Random polarization, the most common, will at any instant resolve into components parallel and perpendicular to the polarizer axis. At that instant each resolved component may be going in either of 2 directions. Four possible combinations of resolution angle and direction must be explored, creating the 4 Cases. In the first two Cases, the signal outputs from the two detectors cancel when subtracted. In the last two Cases, the signal outputs add, giving a signal output. The outputs of Cases 3 and 4 also add, giving a total response equal to the input signal. Just what was desired! c Intrel Service Company, Slide 28

29 Case 1 of 4, No Output Signal components that resolve in-line with LO give no output (Signal is assumed to be randomly polarized.) c Intrel Service Company, Slide 29

30 Case 2 of 4, No Output Signal component that resolves in-line with LO gives no output (Signals are assumed to be randomly polarized) c Intrel Service Company, Slide 30

31 Case 3 of 4, Signal Output Transverse polarization resolves to an output Signal peak amplitude is 2/2 before being "resolved" c Intrel Service Company, Slide 31

32 Case 4 of 4, Signal Output Transverse polarization resolves to an output Signal peak amplitude is 2/2 before being "resolved" c Intrel Service Company, Slide 32

33 Q: Why do Cases 3 and 4 indicate a non-zero result rather than a number? A: The vectors represent the electric field intensity on the OMD detector. These must be converted to heat by squaring. The the mixer gain must also be taken into account. Q: Why is there confidence that Cases 1 and 2 are zero? A: Both the signal and LO signals have the same amplitude and direction. Whatever the results, they will be equal, subtracting to zero. For Cases 3 and 4, the signals on the right and left polarizers go in opposite directions. The results cannot be equal. Q: If the math were worked out, what would the subtracted outputs in Cases 3 and 4 be? A: Twice as much as that of a single mixer. c Intrel Service Company, Slide 33

34 A Practical Polarization Mixer Phase Locking Plate Half-Mirror Detector 1 18KHz Beam Chopper (Transmitter) Collection Lens Detector 2 Laser (NeHe) Coherent transmitter/receiver using polarization balanced mixer (~1968, Sanders Associates) c Intrel Service Company, Slide 34

35 Balanced Mixer Performance Return signal modulation (~18KHz) Both mixers (balanced) Laser power supply ripple (~20KHz) Bottom trace, single detector: One mixer (unbalanced) peak on left is ripple on laser (LO) output from 20KHz power supply peak on right is the 18KHz signal Top trace, balanced detector: LO ripple component is canceled 18KHZ signal is ~2x amplitude c Intrel Service Company, Slide 35

36 Balancing the Detectors Q: Can LO noise be used to balance the detectors? A: The broadband rms noise does go to its lowest value at balance, but the lowest value is complex for instrumentation to judge autonomously. Q: What else is there to use? A: Nothing, so something must be added. In this scheme, the LO is modulated with a sine wave located near the upper bandpass limit. After subtraction, the phase of the sine wave output depends on which detector has the highest gain. A synchronous detector produces an output that passes through zero. It drives a potentiometer which nulls both the sine wave and the LO noise. Q: Won't the modulation sine wave mask legitimate signals? A: The sine wave is always nulled to zero. c Intrel Service Company, Slide 36

37 Auto-Balancing Circuit Typically 1000 to 20,000 suppression c Intrel Service Company, Slide 37

38 SMRR Receiver Performance c Intrel Service Company, Slide 38

39 Thermal Homodyne Summary Simpler hardware and electronics 300 K operation Covers all wavelengths, 100um to 1000um 300GHz to 3THz Practical balancing for LO noise suppression Superb sensitivity c Intrel Service Company, Slide 39

40 (These antennas could really use our help!) Contact: James A. Kuzdrall c Intrel Service Company, Slide 40

41 References "Laser Receivers", Monte Ross, Wiley 1966, "Radar Handbook" Merrill Skolnik, McGraw-Hill 1990, ISBN X c Intrel Service Company, Slide 41

Coherent Receivers Principles Downconversion

Coherent Receivers Principles Downconversion Coherent Receivers Principles Downconversion Heterodyne receivers mix signals of different frequency; if two such signals are added together, they beat against each other. The resulting signal contains

More information

Holography Transmitter Design Bill Shillue 2000-Oct-03

Holography Transmitter Design Bill Shillue 2000-Oct-03 Holography Transmitter Design Bill Shillue 2000-Oct-03 Planned Photonic Reference Distribution for Test Interferometer The transmitter for the holography receiver is made up mostly of parts that are already

More information

PHASE TO AMPLITUDE MODULATION CONVERSION USING BRILLOUIN SELECTIVE SIDEBAND AMPLIFICATION. Steve Yao

PHASE TO AMPLITUDE MODULATION CONVERSION USING BRILLOUIN SELECTIVE SIDEBAND AMPLIFICATION. Steve Yao PHASE TO AMPLITUDE MODULATION CONVERSION USING BRILLOUIN SELECTIVE SIDEBAND AMPLIFICATION Steve Yao Jet Propulsion Laboratory, California Institute of Technology 4800 Oak Grove Dr., Pasadena, CA 91109

More information

Exercise 8: Interference and diffraction

Exercise 8: Interference and diffraction Physics 223 Name: Exercise 8: Interference and diffraction 1. In a two-slit Young s interference experiment, the aperture (the mask with the two slits) to screen distance is 2.0 m, and a red light of wavelength

More information

Submillimeter (continued)

Submillimeter (continued) Submillimeter (continued) Dual Polarization, Sideband Separating Receiver Dual Mixer Unit The 12-m Receiver Here is where the receiver lives, at the telescope focus Receiver Performance T N (noise temperature)

More information

IF/LO Systems for Single Dish Radio Astronomy Centimeter Wave Receivers

IF/LO Systems for Single Dish Radio Astronomy Centimeter Wave Receivers IF/LO Systems for Single Dish Radio Astronomy Centimeter Wave Receivers Lisa Wray NAIC, Arecibo Observatory Abstract. Radio astronomy receivers designed to detect electromagnetic waves from faint celestial

More information

Receiver Performance and Comparison of Incoherent (bolometer) and Coherent (receiver) detection

Receiver Performance and Comparison of Incoherent (bolometer) and Coherent (receiver) detection At ev gap /h the photons have sufficient energy to break the Cooper pairs and the SIS performance degrades. Receiver Performance and Comparison of Incoherent (bolometer) and Coherent (receiver) detection

More information

Receiver Design for Passive Millimeter Wave (PMMW) Imaging

Receiver Design for Passive Millimeter Wave (PMMW) Imaging Introduction Receiver Design for Passive Millimeter Wave (PMMW) Imaging Millimeter Wave Systems, LLC Passive Millimeter Wave (PMMW) sensors are used for remote sensing and security applications. They rely

More information

325 to 500 GHz Vector Network Analyzer System

325 to 500 GHz Vector Network Analyzer System 325 to 500 GHz Vector Network Analyzer System By Chuck Oleson, Tony Denning and Yuenie Lau OML, Inc. Abstract - This paper describes a novel and compact WR-02.2 millimeter wave frequency extension transmission/reflection

More information

Chapter 16 Light Waves and Color

Chapter 16 Light Waves and Color Chapter 16 Light Waves and Color Lecture PowerPoint Copyright The McGraw-Hill Companies, Inc. Permission required for reproduction or display. What causes color? What causes reflection? What causes color?

More information

Lecture 6 SIGNAL PROCESSING. Radar Signal Processing Dr. Aamer Iqbal Bhatti. Dr. Aamer Iqbal Bhatti

Lecture 6 SIGNAL PROCESSING. Radar Signal Processing Dr. Aamer Iqbal Bhatti. Dr. Aamer Iqbal Bhatti Lecture 6 SIGNAL PROCESSING Signal Reception Receiver Bandwidth Pulse Shape Power Relation Beam Width Pulse Repetition Frequency Antenna Gain Radar Cross Section of Target. Signal-to-noise ratio Receiver

More information

9. Microwaves. 9.1 Introduction. Safety consideration

9. Microwaves. 9.1 Introduction. Safety consideration MW 9. Microwaves 9.1 Introduction Electromagnetic waves with wavelengths of the order of 1 mm to 1 m, or equivalently, with frequencies from 0.3 GHz to 0.3 THz, are commonly known as microwaves, sometimes

More information

More Radio Astronomy

More Radio Astronomy More Radio Astronomy Radio Telescopes - Basic Design A radio telescope is composed of: - a radio reflector (the dish) - an antenna referred to as the feed on to which the radiation is focused - a radio

More information

Receiver Signal to Noise Ratios for IPDA Lidars Using Sine-wave and Pulsed Laser Modulation and Direct Detections

Receiver Signal to Noise Ratios for IPDA Lidars Using Sine-wave and Pulsed Laser Modulation and Direct Detections Receiver Signal to Noise Ratios for IPDA Lidars Using Sine-wave and Pulsed Laser Modulation and Direct Detections Xiaoli Sun and James B. Abshire NASA Goddard Space Flight Center Solar System Division,

More information

Photomixing THz Spectrometer Review

Photomixing THz Spectrometer Review Photomixing THz Spectrometer Review Joseph R. Demers, PhD 9/29/2015 Leveraging Telecom Manufacturing Techniques to Improve THz Technology Terahertz Spectrum THz radiation was difficult to produce and detect

More information

2. Digital Optical Systems based on Coherent and Direct Detection

2. Digital Optical Systems based on Coherent and Direct Detection 1/ 2. Digital Optical Systems based on Coherent and Direct Detection Optical Communication Systems and Networks 2/ 12 BIBLIOGRAPHY Fiber-Optic Communications Systems Govind P. Agrawal, Chapter 10, pp.

More information

suppose we observed a 10 Jy calibrator with CARMA for 1 year, 24 hrs/day how much energy would we collect? S ηa Δν t

suppose we observed a 10 Jy calibrator with CARMA for 1 year, 24 hrs/day how much energy would we collect? S ηa Δν t 3 hardware lectures 1. receivers - SIS mixers, amplifiers, cryogenics, dewars, calibration; followed by antenna tour; later, take apart a 6-m dewar 2. correlator (James Lamb) 3. local oscillator system

More information

Etude d un récepteur SIS hétérodyne multi-pixels double polarisation à 3mm de longueur d onde pour le télescope de Pico Veleta

Etude d un récepteur SIS hétérodyne multi-pixels double polarisation à 3mm de longueur d onde pour le télescope de Pico Veleta Etude d un récepteur SIS hétérodyne multi-pixels double polarisation à 3mm de longueur d onde pour le télescope de Pico Veleta Study of a dual polarization SIS heterodyne receiver array for the 3mm band

More information

2013 LMIC Imaging Workshop. Sidney L. Shaw Technical Director. - Light and the Image - Detectors - Signal and Noise

2013 LMIC Imaging Workshop. Sidney L. Shaw Technical Director. - Light and the Image - Detectors - Signal and Noise 2013 LMIC Imaging Workshop Sidney L. Shaw Technical Director - Light and the Image - Detectors - Signal and Noise The Anatomy of a Digital Image Representative Intensities Specimen: (molecular distribution)

More information

Design of a Sideband-Separating Balanced SIS Mixer Based on Waveguide Hybrids

Design of a Sideband-Separating Balanced SIS Mixer Based on Waveguide Hybrids ALMA Memo 316 20 September 2000 Design of a Sideband-Separating Balanced SIS Mixer Based on Waveguide Hybrids S. M. X. Claude 1 and C. T. Cunningham 1, A. R. Kerr 2 and S.-K. Pan 2 1 Herzberg Institute

More information

AVN Training HartRAO 2016

AVN Training HartRAO 2016 AVN Training HartRAO 2016 Microwave 1 Overview Introduction to basic components used in microwave receivers. Performance characteristics of these components. Assembly of components into a complete microwave

More information

Optical phase-locked loop for coherent transmission over 500 km using heterodyne detection with fiber lasers

Optical phase-locked loop for coherent transmission over 500 km using heterodyne detection with fiber lasers Optical phase-locked loop for coherent transmission over 500 km using heterodyne detection with fiber lasers Keisuke Kasai a), Jumpei Hongo, Masato Yoshida, and Masataka Nakazawa Research Institute of

More information

Signal Flow & Radiometer Equation. Aletha de Witt AVN-Newton Fund/DARA 2018 Observational & Technical Training HartRAO

Signal Flow & Radiometer Equation. Aletha de Witt AVN-Newton Fund/DARA 2018 Observational & Technical Training HartRAO Signal Flow & Radiometer Equation Aletha de Witt AVN-Newton Fund/DARA 2018 Observational & Technical Training HartRAO Understanding Radio Waves The meaning of radio waves How radio waves are created -

More information

Diffraction Single-slit Double-slit Diffraction grating Limit on resolution X-ray diffraction. Phys 2435: Chap. 36, Pg 1

Diffraction Single-slit Double-slit Diffraction grating Limit on resolution X-ray diffraction. Phys 2435: Chap. 36, Pg 1 Diffraction Single-slit Double-slit Diffraction grating Limit on resolution X-ray diffraction Phys 2435: Chap. 36, Pg 1 Single Slit New Topic Phys 2435: Chap. 36, Pg 2 Diffraction: bending of light around

More information

Module 5: Experimental Modal Analysis for SHM Lecture 36: Laser doppler vibrometry. The Lecture Contains: Laser Doppler Vibrometry

Module 5: Experimental Modal Analysis for SHM Lecture 36: Laser doppler vibrometry. The Lecture Contains: Laser Doppler Vibrometry The Lecture Contains: Laser Doppler Vibrometry Basics of Laser Doppler Vibrometry Components of the LDV system Working with the LDV system file:///d /neha%20backup%20courses%2019-09-2011/structural_health/lecture36/36_1.html

More information

MMA Memo 143: Report of the Receiver Committee for the MMA

MMA Memo 143: Report of the Receiver Committee for the MMA MMA Memo 143: Report of the Receiver Committee for the MMA 25 September, 1995 John Carlstrom Darrel Emerson Phil Jewell Tony Kerr Steve Padin John Payne Dick Plambeck Marian Pospieszalski Jack Welch, chair

More information

Sources classification

Sources classification Sources classification Radiometry relates to the measurement of the energy radiated by one or more sources in any region of the electromagnetic spectrum. As an antenna, a source, whose largest dimension

More information

CHAPTER 5 FINE-TUNING OF AN ECDL WITH AN INTRACAVITY LIQUID CRYSTAL ELEMENT

CHAPTER 5 FINE-TUNING OF AN ECDL WITH AN INTRACAVITY LIQUID CRYSTAL ELEMENT CHAPTER 5 FINE-TUNING OF AN ECDL WITH AN INTRACAVITY LIQUID CRYSTAL ELEMENT In this chapter, the experimental results for fine-tuning of the laser wavelength with an intracavity liquid crystal element

More information

RF Locking of Femtosecond Lasers

RF Locking of Femtosecond Lasers RF Locking of Femtosecond Lasers Josef Frisch, Karl Gumerlock, Justin May, Steve Smith SLAC Work supported by DOE contract DE-AC02-76SF00515 1 Overview FEIS 2013 talk discussed general laser locking concepts

More information

A HILBERT TRANSFORM BASED RECEIVER POST PROCESSOR

A HILBERT TRANSFORM BASED RECEIVER POST PROCESSOR A HILBERT TRANSFORM BASED RECEIVER POST PROCESSOR 1991 Antenna Measurement Techniques Association Conference D. Slater Nearfield Systems Inc. 1330 E. 223 rd Street Bldg. 524 Carson, CA 90745 310-518-4277

More information

Charan Langton, Editor

Charan Langton, Editor Charan Langton, Editor SIGNAL PROCESSING & SIMULATION NEWSLETTER Baseband, Passband Signals and Amplitude Modulation The most salient feature of information signals is that they are generally low frequency.

More information

Part 1: Standing Waves - Measuring Wavelengths

Part 1: Standing Waves - Measuring Wavelengths Experiment 7 The Microwave experiment Aim: This experiment uses microwaves in order to demonstrate the formation of standing waves, verifying the wavelength λ of the microwaves as well as diffraction from

More information

Instruction manual and data sheet ipca h

Instruction manual and data sheet ipca h 1/15 instruction manual ipca-21-05-1000-800-h Instruction manual and data sheet ipca-21-05-1000-800-h Broad area interdigital photoconductive THz antenna with microlens array and hyperhemispherical silicon

More information

The Heterodyne Instrument for the Far-Infrared (HIFI) and its data

The Heterodyne Instrument for the Far-Infrared (HIFI) and its data The Heterodyne Instrument for the Far-Infrared (HIFI) and its data D. Teyssier ESAC 28/10/2016 Outline 1. What was HIFI and how did it work 2. What was HIFI good for science cases 3. The HIFI calibration

More information

Guide to observation planning with GREAT

Guide to observation planning with GREAT Guide to observation planning with GREAT G. Sandell GREAT is a heterodyne receiver designed to observe spectral lines in the THz region with high spectral resolution and sensitivity. Heterodyne receivers

More information

Vibration-compensated interferometer for measuring cryogenic mirrors

Vibration-compensated interferometer for measuring cryogenic mirrors Vibration-compensated interferometer for measuring cryogenic mirrors Chunyu Zhao and James H. Burge Optical Sciences Center, University of Arizona, 1630 E. University Blvd, Tucson, AZ 85721 Abstract An

More information

Introduction to Radio Astronomy!

Introduction to Radio Astronomy! Introduction to Radio Astronomy! Sources of radio emission! Radio telescopes - collecting the radiation! Processing the radio signal! Radio telescope characteristics! Observing radio sources Sources of

More information

A n I/Q modulator is frequently used in

A n I/Q modulator is frequently used in A Simplified Subharmonic I/Q Modulator This passive vector modulator uses opposite polarity diode pairs for frequency doubling to extend the range of operation By Ian Doyle M/A-COM Eurotec Operations A

More information

1.6 Beam Wander vs. Image Jitter

1.6 Beam Wander vs. Image Jitter 8 Chapter 1 1.6 Beam Wander vs. Image Jitter It is common at this point to look at beam wander and image jitter and ask what differentiates them. Consider a cooperative optical communication system that

More information

VHF LAND MOBILE SERVICE

VHF LAND MOBILE SERVICE RFS21 December 1991 (Issue 1) SPECIFICATION FOR RADIO APPARATUS: VHF LAND MOBILE SERVICE USING AMPLITUDE MODULATION WITH 12.5 khz CARRIER FREQUENCY SEPARATION Communications Division Ministry of Commerce

More information

Microwave Optics. Department of Physics & Astronomy Texas Christian University, Fort Worth, TX. January 16, 2014

Microwave Optics. Department of Physics & Astronomy Texas Christian University, Fort Worth, TX. January 16, 2014 Microwave Optics Department of Physics & Astronomy Texas Christian University, Fort Worth, TX January 16, 2014 1 Introduction Optical phenomena may be studied at microwave frequencies. Visible light has

More information

Multibeam Heterodyne Receiver For ALMA

Multibeam Heterodyne Receiver For ALMA Multibeam Heterodyne Receiver For ALMA 2013/07/09 National Astronomical Observatory of Japan Advanced Technology Centor Takafumi KOJIMA, Yoshinori Uzawa and Band- Question discussed in this talk and outline

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

Measurements of Schottky-Diode Based THz Video Detectors

Measurements of Schottky-Diode Based THz Video Detectors Measurements of Schottky-Diode Based THz Video Detectors Hairui Liu 1, 2*, Junsheng Yu 1, Peter Huggard 2* and Byron Alderman 2 1 Beijing University of Posts and Telecommunications, Beijing, 100876, P.R.

More information

Ultra High Frequency Measurements

Ultra High Frequency Measurements Ultra High Frequency Measurements Desmond Fraser desmond@rheintech.com 703.689.0368 360 Herndon Parkway Suite 1400 Herndon, VA 20170 IEEE EMC DC / N. VA Chapter 31 January 2012 Overview We ll review Millimeter

More information

ALMA MEMO #360 Design of Sideband Separation SIS Mixer for 3 mm Band

ALMA MEMO #360 Design of Sideband Separation SIS Mixer for 3 mm Band ALMA MEMO #360 Design of Sideband Separation SIS Mixer for 3 mm Band V. Vassilev and V. Belitsky Onsala Space Observatory, Chalmers University of Technology ABSTRACT As a part of Onsala development of

More information

Timing Noise Measurement of High-Repetition-Rate Optical Pulses

Timing Noise Measurement of High-Repetition-Rate Optical Pulses 564 Timing Noise Measurement of High-Repetition-Rate Optical Pulses Hidemi Tsuchida National Institute of Advanced Industrial Science and Technology 1-1-1 Umezono, Tsukuba, 305-8568 JAPAN Tel: 81-29-861-5342;

More information

A NOVEL SCHEME FOR OPTICAL MILLIMETER WAVE GENERATION USING MZM

A NOVEL SCHEME FOR OPTICAL MILLIMETER WAVE GENERATION USING MZM A NOVEL SCHEME FOR OPTICAL MILLIMETER WAVE GENERATION USING MZM Poomari S. and Arvind Chakrapani Department of Electronics and Communication Engineering, Karpagam College of Engineering, Coimbatore, Tamil

More information

Influence of Temperature Variations on the Stability of a Submm Wave Receiver

Influence of Temperature Variations on the Stability of a Submm Wave Receiver Influence of Temperature Variations on the Stability of a Submm Wave A. Baryshev 1, R. Hesper 1, G. Gerlofsma 1, M. Kroug 2, W. Wild 3 1 NOVA/SRON/RuG 2 DIMES/TuD 3 SRON / RuG Abstract Radio astronomy

More information

The Schottky Diode Mixer. Application Note 995

The Schottky Diode Mixer. Application Note 995 The Schottky Diode Mixer Application Note 995 Introduction A major application of the Schottky diode is the production of the difference frequency when two frequencies are combined or mixed in the diode.

More information

8.5 Modulation of Signals

8.5 Modulation of Signals 8.5 Modulation of Signals basic idea and goals measuring atomic absorption without modulation measuring atomic absorption with modulation the tuned amplifier, diode rectifier and low pass the lock-in amplifier

More information

Antennas Prof. Girish Kumar Department of Electrical Engineering India Institute of Technology, Bombay. Module - 1 Lecture - 1 Antennas Introduction-I

Antennas Prof. Girish Kumar Department of Electrical Engineering India Institute of Technology, Bombay. Module - 1 Lecture - 1 Antennas Introduction-I Antennas Prof. Girish Kumar Department of Electrical Engineering India Institute of Technology, Bombay Module - 1 Lecture - 1 Antennas Introduction-I Hello everyone. Welcome to the exciting world of antennas.

More information

Receiver Architecture

Receiver Architecture Receiver Architecture Receiver basics Channel selection why not at RF? BPF first or LNA first? Direct digitization of RF signal Receiver architectures Sub-sampling receiver noise problem Heterodyne receiver

More information

User s Guide Modulator Alignment Procedure

User s Guide Modulator Alignment Procedure User s Guide Modulator Alignment Procedure Models 350, 360, 370, 380, 390 series Warranty Information Conoptics, Inc. guarantees its products to be free of defects in materials and workmanship for one

More information

THz Components and Systems

THz Components and Systems THz Components and Systems Serving the global THz community since 1992 Table of Contents Lenses 3 Free-standing wire-grid polarizers.. 5 Mid-IR polarizers.... 7 Quasi-Optical Sources (BWOs)...8 VR-2S BWO

More information

17. Atmospheres and Instruments

17. Atmospheres and Instruments 17. Atmospheres and Instruments Preliminaries 1. Diffraction limit: The diffraction limit on spatial resolution,, in radians 1.22 / d, where d is the diameter of the telescope and is the wavelength ( and

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

Spatially Resolved Backscatter Ceilometer

Spatially Resolved Backscatter Ceilometer Spatially Resolved Backscatter Ceilometer Design Team Hiba Fareed, Nicholas Paradiso, Evan Perillo, Michael Tahan Design Advisor Prof. Gregory Kowalski Sponsor, Spectral Sciences Inc. Steve Richstmeier,

More information

Beam Diagnostics, Low Level RF and Feedback for Room Temperature FELs. Josef Frisch Pohang, March 14, 2011

Beam Diagnostics, Low Level RF and Feedback for Room Temperature FELs. Josef Frisch Pohang, March 14, 2011 Beam Diagnostics, Low Level RF and Feedback for Room Temperature FELs Josef Frisch Pohang, March 14, 2011 Room Temperature / Superconducting Very different pulse structures RT: single bunch or short bursts

More information

Body scanning for security: A sub-mm video camera using cryogenic detectors

Body scanning for security: A sub-mm video camera using cryogenic detectors Body scanning for security: A sub-mm video camera using cryogenic detectors Security body scanning: demand and actuality Chance for cryogenic systems Realization of our camera Conclusion T. May, E. Heinz,

More information

MILLIMETER WAVE RADIATION GENERATED BY OPTICAL MIXING IN FETs INTEGRATED WITH PRINTED CIRCUIT ANTENNAS

MILLIMETER WAVE RADIATION GENERATED BY OPTICAL MIXING IN FETs INTEGRATED WITH PRINTED CIRCUIT ANTENNAS Second International Symposium on Space Terahertz Technology Page 523 MILLIMETER WAVE RADIATION GENERATED BY OPTICAL MIXING IN FETs INTEGRATED WITH PRINTED CIRCUIT ANTENNAS by D.V. Plant, H.R. Fetterman,

More information

point at zero displacement string 80 scale / cm Fig. 4.1

point at zero displacement string 80 scale / cm Fig. 4.1 1 (a) Fig. 4.1 shows a section of a uniform string under tension at one instant of time. A progressive wave of wavelength 80 cm is moving along the string from left to right. At the instant shown, the

More information

AMPLIFIERS, ANTENNAS, MULTIPLIERS, SOURCES, WAVEGUIDE PRODUCTS MILLIMETER-WAVE COMPONENTS FERRITE PRODUCTS AND SUB-SYSTEMS

AMPLIFIERS, ANTENNAS, MULTIPLIERS, SOURCES, WAVEGUIDE PRODUCTS MILLIMETER-WAVE COMPONENTS FERRITE PRODUCTS AND SUB-SYSTEMS AMPLIFIERS, ANTENNAS, MULTIPLIERS, SOURCES, WAVEGUIDE PRODUCTS MILLIMETER-WAVE COMPONENTS FERRITE PRODUCTS AND SUB-SYSTEMS 766 San Aleso Avenue, Sunnyvale, C A 94085 Tel. (408) 541-9226, Fax (408) 541-9229

More information

Experiment 19. Microwave Optics 1

Experiment 19. Microwave Optics 1 Experiment 19 Microwave Optics 1 1. Introduction Optical phenomena may be studied at microwave frequencies. Using a three centimeter microwave wavelength transforms the scale of the experiment. Microns

More information

Optical phase-coherent link between an optical atomic clock. and 1550 nm mode-locked lasers

Optical phase-coherent link between an optical atomic clock. and 1550 nm mode-locked lasers Optical phase-coherent link between an optical atomic clock and 1550 nm mode-locked lasers Kevin W. Holman, David J. Jones, Steven T. Cundiff, and Jun Ye* JILA, National Institute of Standards and Technology

More information

Sub-millimeter Wave Planar Near-field Antenna Testing

Sub-millimeter Wave Planar Near-field Antenna Testing Sub-millimeter Wave Planar Near-field Antenna Testing Daniёl Janse van Rensburg 1, Greg Hindman 2 # Nearfield Systems Inc, 1973 Magellan Drive, Torrance, CA, 952-114, USA 1 drensburg@nearfield.com 2 ghindman@nearfield.com

More information

Experiment 1: Fraunhofer Diffraction of Light by a Single Slit

Experiment 1: Fraunhofer Diffraction of Light by a Single Slit Experiment 1: Fraunhofer Diffraction of Light by a Single Slit Purpose 1. To understand the theory of Fraunhofer diffraction of light at a single slit and at a circular aperture; 2. To learn how to measure

More information

Noise generators. Spatial Combining of Multiple Microwave Noise Radiators NOISE ARRAY. This article reports on. experiments to increase the

Noise generators. Spatial Combining of Multiple Microwave Noise Radiators NOISE ARRAY. This article reports on. experiments to increase the From April 2008 High Frequency Electronics Copyright 2008 Summit Technical Media LLC Spatial Combining of Multiple Microwave Noise Radiators By Jiri Polivka Spacek Labs Inc. Noise generators This article

More information

A Prototype Wire Position Monitoring System

A Prototype Wire Position Monitoring System LCLS-TN-05-27 A Prototype Wire Position Monitoring System Wei Wang and Zachary Wolf Metrology Department, SLAC 1. INTRODUCTION ¹ The Wire Position Monitoring System (WPM) will track changes in the transverse

More information

Detection of the mm-wave radiation using a low-cost LWIR microbolometer camera from a multiplied Schottky diode based source

Detection of the mm-wave radiation using a low-cost LWIR microbolometer camera from a multiplied Schottky diode based source Detection of the mm-wave radiation using a low-cost LWIR microbolometer camera from a multiplied Schottky diode based source Basak Kebapci 1, Firat Tankut 2, Hakan Altan 3, and Tayfun Akin 1,2,4 1 METU-MEMS

More information

A Method for Gain over Temperature Measurements Using Two Hot Noise Sources

A Method for Gain over Temperature Measurements Using Two Hot Noise Sources A Method for Gain over Temperature Measurements Using Two Hot Noise Sources Vince Rodriguez and Charles Osborne MI Technologies: Suwanee, 30024 GA, USA vrodriguez@mitechnologies.com Abstract P Gain over

More information

Ninth International Symposium on Space Terahertz Technology. Pasadena. March S

Ninth International Symposium on Space Terahertz Technology. Pasadena. March S Ninth International Symposium on Space Terahertz Technology. Pasadena. March 17-19. 199S SINGLE SIDEBAND MIXING AT SUBMILLIMETER WAVELENGTHS Junji Inatani (1), Sheng-Cai Shi (2), Yutaro Sekimoto (3), Harunobu

More information

Chapter 23 Electromagnetic Waves Lecture 14

Chapter 23 Electromagnetic Waves Lecture 14 Chapter 23 Electromagnetic Waves Lecture 14 23.1 The Discovery of Electromagnetic Waves 23.2 Properties of Electromagnetic Waves 23.3 Electromagnetic Waves Carry Energy and Momentum 23.4 Types of Electromagnetic

More information

New Ideology of All-Optical Microwave Systems Based on the Use of Semiconductor Laser as a Down-Converter.

New Ideology of All-Optical Microwave Systems Based on the Use of Semiconductor Laser as a Down-Converter. New Ideology of All-Optical Microwave Systems Based on the Use of Semiconductor Laser as a Down-Converter. V. B. GORFINKEL, *) M.I. GOUZMAN **), S. LURYI *) and E.L. PORTNOI ***) *) State University of

More information

PSD Characteristics. Position Sensing Detectors

PSD Characteristics. Position Sensing Detectors PSD Characteristics Position Sensing Detectors Silicon photodetectors are commonly used for light power measurements in a wide range of applications such as bar-code readers, laser printers, medical imaging,

More information

Thulium-Doped Fiber Amplifier Development for Power Scaling the 2 Micron Coherent Laser Absorption Instrument for ASCENDS

Thulium-Doped Fiber Amplifier Development for Power Scaling the 2 Micron Coherent Laser Absorption Instrument for ASCENDS Thulium-Doped Fiber Amplifier Development for Power Scaling the 2 Micron Coherent Laser Absorption Instrument for ASCENDS Mark W. Phillips Lockheed Martin Coherent Technologies 135 South Taylor Avenue,

More information

Heterodyne Sweeping Radiometer

Heterodyne Sweeping Radiometer 46 Robezu str. LV-1004 Riga, Latvia Fax: +371-7-065102 Mm-wave Division in St. Petersburg, Russia Fax: +7-812- 326-10-60 Tel: +7-812-326-59-24 E-mail: ivanovph@nnz.ru Heterodyne Sweeping Radiometer Operation

More information

This article reports on

This article reports on Millimeter-Wave FMCW Radar Transceiver/Antenna for Automotive Applications A summary of the design and performance of a 77 GHz radar unit David D. Li, Sam C. Luo and Robert M. Knox Epsilon Lambda Electronics

More information

DEVELOPMENT OF SECOND GENERATION SIS RECEIVERS FOR ALMA

DEVELOPMENT OF SECOND GENERATION SIS RECEIVERS FOR ALMA DEVELOPMENT OF SECOND GENERATION SIS RECEIVERS FOR ALMA A. R. Kerr 24 August 2016 ALMA Future Science Workshop 2016 ARK04.pptx 1 Summary o Shortcomings of the current Band 6 receivers. o Potential improvements

More information

4/29/2012. General Class Element 3 Course Presentation. Signals and Emissions. SignalSignals and Emissionsissions. Subelement G8

4/29/2012. General Class Element 3 Course Presentation. Signals and Emissions. SignalSignals and Emissionsissions. Subelement G8 General Class Element 3 Course Presentation ti ELEMENT 3 SUB ELEMENTS General Licensing Class Subelement G8 Signals and Emissions 2 Exam Questions, 2 Groups G1 Commission s Rules G2 Operating Procedures

More information

Understanding Low Phase Noise Signals. Presented by: Riadh Said Agilent Technologies, Inc.

Understanding Low Phase Noise Signals. Presented by: Riadh Said Agilent Technologies, Inc. Understanding Low Phase Noise Signals Presented by: Riadh Said Agilent Technologies, Inc. Introduction Instabilities in the frequency or phase of a signal are caused by a number of different effects. Each

More information

Reasons for Phase and Amplitude Measurements.

Reasons for Phase and Amplitude Measurements. Phase and Amplitude Antenna Measurements on an SIS Mixer Fitted with a Double Slot Antenna for ALMA Band 9 M.Carter (TRAM), A.Baryshev, R.Hesper (NOVA); S.J.Wijnholds, W.Jellema (SRON), T.Zifistra (Delft

More information

Introduction to Interferometry. Michelson Interferometer. Fourier Transforms. Optics: holes in a mask. Two ways of understanding interferometry

Introduction to Interferometry. Michelson Interferometer. Fourier Transforms. Optics: holes in a mask. Two ways of understanding interferometry Introduction to Interferometry P.J.Diamond MERLIN/VLBI National Facility Jodrell Bank Observatory University of Manchester ERIS: 5 Sept 005 Aim to lay the groundwork for following talks Discuss: General

More information

Performance of the Prototype NLC RF Phase and Timing Distribution System *

Performance of the Prototype NLC RF Phase and Timing Distribution System * SLAC PUB 8458 June 2000 Performance of the Prototype NLC RF Phase and Timing Distribution System * Josef Frisch, David G. Brown, Eugene Cisneros Stanford Linear Accelerator Center, Stanford University,

More information

Quantum frequency standard Priority: Filing: Grant: Publication: Description

Quantum frequency standard Priority: Filing: Grant: Publication: Description C Quantum frequency standard Inventors: A.K.Dmitriev, M.G.Gurov, S.M.Kobtsev, A.V.Ivanenko. Priority: 2010-01-11 Filing: 2010-01-11 Grant: 2011-08-10 Publication: 2011-08-10 Description The present invention

More information

PB T/R Two-Channel Portable Frequency Domain Terahertz Spectrometer

PB T/R Two-Channel Portable Frequency Domain Terahertz Spectrometer Compact, Portable Terahertz Spectroscopy System Bakman Technologies versatile PB7220-2000-T/R Spectroscopy Platform is designed for scanning complex compounds to precise specifications with greater accuracy

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

This place covers: Demodulation or transference of signals modulated on a sinusoidal carrier or on electromagnetic waves.

This place covers: Demodulation or transference of signals modulated on a sinusoidal carrier or on electromagnetic waves. CPC - H03D - 2017.08 H03D DEMODULATION OR TRANSFERENCE OF MODULATION FROM ONE CARRIER TO ANOTHER (masers, lasers H01S; circuits capable of acting both as modulator and demodulator H03C; details applicable

More information

Spontaneous Hyper Emission: Title of Talk

Spontaneous Hyper Emission: Title of Talk Spontaneous Hyper Emission: Title of Talk Enhanced Light Emission by Optical Antennas Ming C. Wu University of California, Berkeley A Science & Technology Center Where Our Paths Crossed Page Nanopatch

More information

Chapter 3. Instrumentation. 3.1 Telescope Site Layout. 3.2 Telescope Optics

Chapter 3. Instrumentation. 3.1 Telescope Site Layout. 3.2 Telescope Optics Chapter 3 Instrumentation 3.1 Telescope Site Layout The 12m is located on the southwest ridge of Kitt Peak, about two miles below the top of the mountain. Other telescopes on the southwest ridge are the

More information

... frequency, f speed, v......

... frequency, f speed, v...... PhysicsAndMathsTutor.com 1 1. Define the terms wavelength, frequency and speed used to describe a progressive wave. wavelength, λ... frequency, f... speed, v... Hence derive the wave equation v = fλ which

More information

Tilted Beam Measurement of VLBI Receiver for the South Pole Telescope

Tilted Beam Measurement of VLBI Receiver for the South Pole Telescope Tilted Beam Measurement of VLBI Receiver for the South Pole Telescope Junhan Kim * and Daniel P. Marrone Department of Astronomy and Steward Observatory University of Arizona Tucson AZ 8572 USA *Contact:

More information

Development of C-Mod FIR Polarimeter*

Development of C-Mod FIR Polarimeter* Development of C-Mod FIR Polarimeter* P.XU, J.H.IRBY, J.BOSCO, A.KANOJIA, R.LECCACORVI, E.MARMAR, P.MICHAEL, R.MURRAY, R.VIEIRA, S.WOLFE (MIT) D.L.BROWER, W.X.DING (UCLA) D.K.MANSFIELD (PPPL) *Supported

More information

The secondary MZM used to modulate the quadrature phase carrier produces a phase shifted version:

The secondary MZM used to modulate the quadrature phase carrier produces a phase shifted version: QAM Receiver 1 OBJECTIVE Build a coherent receiver based on the 90 degree optical hybrid and further investigate the QAM format. 2 PRE-LAB In the Modulation Formats QAM Transmitters laboratory, a method

More information

RF and Microwave Power Standards: Extending beyond 110 GHz

RF and Microwave Power Standards: Extending beyond 110 GHz RF and Microwave Power Standards: Extending beyond 110 GHz John Howes National Physical Laboratory April 2008 We now wish to extend above 110 GHz Why now? Previous indecisions about transmission lines,

More information

Introduction. Laser Diodes. Chapter 12 Laser Communications

Introduction. Laser Diodes. Chapter 12 Laser Communications Chapter 1 Laser Communications A key technology to enabling small spacecraft missions is a lightweight means of communication. Laser based communications provides many benefits that make it attractive

More information

SECOND HARMONIC GENERATION AND Q-SWITCHING

SECOND HARMONIC GENERATION AND Q-SWITCHING SECOND HARMONIC GENERATION AND Q-SWITCHING INTRODUCTION In this experiment, the following learning subjects will be worked out: 1) Characteristics of a semiconductor diode laser. 2) Optical pumping on

More information

Directly Chirped Laser Source for Chirped Pulse Amplification

Directly Chirped Laser Source for Chirped Pulse Amplification Directly Chirped Laser Source for Chirped Pulse Amplification Input pulse (single frequency) AWG RF amp Output pulse (chirped) Phase modulator Normalized spectral intensity (db) 64 65 66 67 68 69 1052.4

More information

Why is There a Black Dot when Defocus = 1λ?

Why is There a Black Dot when Defocus = 1λ? Why is There a Black Dot when Defocus = 1λ? W = W 020 = a 020 ρ 2 When a 020 = 1λ Sag of the wavefront at full aperture (ρ = 1) = 1λ Sag of the wavefront at ρ = 0.707 = 0.5λ Area of the pupil from ρ =

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