Spectrally controlled source for interferometric measurements of multiple surface cavities Jan Posthumus 1,2

Size: px
Start display at page:

Download "Spectrally controlled source for interferometric measurements of multiple surface cavities Jan Posthumus 1,2"

Transcription

1 Spectrally controlled source for interferometric measurements of multiple surface cavities Jan Posthumus 1,2 Chase Salsbury 1,3, Artur Olszak 1 [1] Äpre Instruments, LLC [2] Laser Peak, GmbH [3] College of Optical Sciences, University of Arizona POM 2018

2 Motivation Multiple back reflections Wavefronts coherently add at the measurement plane Fringe ambiguity degrades measurement accuracy or prevents measurement all together Workarounds Blue tape, Vaseline, AR coating, induced wedge 2

3 Modalities of Interferometry Coherent/Laser Interferometry Incoherent/ White-light Interferometry Light Source Laser Broadband source Fringe Localization Unlocalized Localized at defined plane Secondary Back Reflections Temporally coherent contributions (L coh >L cav ) Do not contribute if outside of nominal coherence envelope Difficulty of Alignment Low difficulty Can be high difficulty Common Path/Aberration Cancellation Most common configuration: Fizeau Most common configuration: Michelson 3

4 Modalities of Interferometry Coherent/Laser Interferometry Incoherent/ White-light Interferometry Light Source Laser Broadband source Fringe Localization Unlocalized Localized at defined plane Secondary Back Reflections Temporally coherent contributions (L coh >L cav ) Do not contribute if outside of nominal coherence envelope Difficulty of Alignment Low difficulty Can be high difficulty Common Path/Aberration Cancellation Most common configuration: Fizeau Most common configuration: Michelson 4

5 Spectrally Controlled Interferometry (SCI) Fourier Spectroscopy SCI Contrast envelope form source spectrum Fourier spectroscopy Source spectrum contrast envelope form Spectrally controlled interferometry (SCI) 5

6 Spectrally Controlled Interferometry Sinusoidal modulation produces sideband fringes at non-zero OPD locations* Removes requirement for mechanical path length matching *U.S./International Patents Pending Chase Salsbury and Artur G. Olszak, "Spectrally controlled interferometry," Appl. Opt. 56, (2017) 6

7 Spectrally Controlled Interferometry Controlled Parameters a.coherence envelope width source bandwidth b.fringe location modulation frequency c.phase of fringes modulation function phase a a b b *U.S./International Patents Pending Chase Salsbury and Artur G. Olszak, "Spectrally controlled interferometry," Appl. Opt. 56, (2017) 7

8 Spectrally Controlled Interferometry Click here for the video demo: 8

9 Implementation of Spectrally Controlled Source Electronic control over spectral distribution No mechanical movement required for Cavity selection (time scale frame rate) Phase shifting (flexible to any phase algorithms) Bandwidth (nominal coherence length) tunable Laser mode for simultaneous alignment of multiple surfaces Incoherent mode for measurement and acquisition Min coherence envelope for surface isolation: 50um OPD Fiber coupled source Integration into standard Fizeau 9

10 Multiple Surface Cavity Measurements 10

11 Plano Optic Measurements Measurements Surface Figure Transmitted Wavefront Homogeneity (refractive index variation) Test Piece Fused Silica window 5mm thick, 50mm diameter 11

12 Source control for surface isolation Transmission Flat Spectrally Controlled Source Standard Fizeau Interferometer Optic Under Test Return Flat P SCI Source Distribution Interferogram ν 12

13 Source control for surface isolation Transmission Flat Spectrally Controlled Source Standard Fizeau Interferometer Optic Under Test Return Flat P SCI Source Distribution Interferogram ν 13

14 Source control for surface isolation Transmission Flat Spectrally Controlled Source Standard Fizeau Interferometer Optic Under Test Return Flat P SCI Source Distribution Interferogram ν 14

15 Source control for surface isolation Transmission Flat Spectrally Controlled Source Standard Fizeau Interferometer Optic Under Test Return Flat P SCI Source Distribution Interferogram ν 15

16 Source control for surface isolation Transmission Flat Spectrally Controlled Source Standard Fizeau Interferometer Optic Under Test Return Flat P SCI Source Distribution Interferogram ν Internal cavities accessible for measurement with Spectrally Controlled Source! 16

17 Source control for surface isolation Transmission Flat Spectrally Controlled Source Standard Fizeau Interferometer Optic Under Test Return Flat P SCI Source Distribution Interferogram Phase Shifted Spectral Distribution ν Phase Shifted Interferogram 17

18 Source control for surface isolation Transmission Flat Spectrally Controlled Source Standard Fizeau Interferometer Optic Under Test Return Flat P SCI Source Distribution Interferogram Phase Shifted Spectral Distribution ν Phase Shifted Interferogram 18

19 Measurement Results: Surface Figure Surface 1: Tilt Removed Low Order Removed 19

20 Measurement Results: Surface Figure Surface 2: Tilt Removed Low Order Removed 20

21 Measurement Results: Transmitted Wavefront Transmission Flat/Ref Flat (Through Optic): Tilt Removed Low Order Removed 21

22 Measurement Results: Homogeneity Traditional Homogeneity Measurements: 1. First Surface 2. Second Surface 3. Transmitted Wavefront 4. Empty Cavity(not shown) 22

23 Advantages of Spectrally Controlled Source Surface figure, TWF, Homogeneity measurements all accessible in a single configuration, alignment process Removes impact of parasitic back reflections in multiple surface cavities Implemented in Fizeau interferometer with no changes to existing hardware 23

iprom Optical Interferometry Prof. Dr. -Ing. Rainer Tutsch Institut für Produktionsmesstechnik IPROM Technische Universität Braunschweig

iprom Optical Interferometry Prof. Dr. -Ing. Rainer Tutsch Institut für Produktionsmesstechnik IPROM Technische Universität Braunschweig Optical Interferometry Prof. Dr. -Ing. Rainer Tutsch Institut für Produktionsmesstechnik IPROM Technische Universität Braunschweig Frontiers of Metrology April 1, 01 I P NSTITUT FÜR RODUKTIONSMESSTECHNIK

More information

Low Coherence Vibration Insensitive Fizeau Interferometer

Low Coherence Vibration Insensitive Fizeau Interferometer Low Coherence Vibration Insensitive Fizeau Interferometer Brad Kimbrough, James Millerd, James Wyant, John Hayes 4D Technology Corporation, 3280 E. Hemisphere Loop, Suite 146, Tucson, AZ 85706 (520) 294-5600,

More information

Fully achromatic nulling interferometer (FANI) for high SNR exoplanet characterization

Fully achromatic nulling interferometer (FANI) for high SNR exoplanet characterization Fully achromatic nulling interferometer (FANI) for high SNR exoplanet characterization François Hénault Institut de Planétologie et d Astrophysique de Grenoble Université Joseph Fourier Centre National

More information

Metrology and Sensing

Metrology and Sensing Metrology and Sensing Lecture 5: Interferometry I 017-11-16 Herbert Gross Winter term 017 www.iap.uni-jena.de Preliminary Schedule No Date Subject Detailed Content 1 19.10. Introduction Introduction, optical

More information

Metrology and Sensing

Metrology and Sensing Metrology and Sensing Lecture 5: Interferometry I 08--6 Herbert Gross Winter term 08 www.iap.uni-jena.de Schedule Optical Metrology and Sensing 08 No Date Subject Detailed Content 6.0. Introduction Introduction,

More information

Wavefront Sensing using Polarization Shearing Interferometer. A report on the work done for my Ph.D. J.P.Lancelot

Wavefront Sensing using Polarization Shearing Interferometer. A report on the work done for my Ph.D. J.P.Lancelot Wavefront Sensing using Polarization Shearing Interferometer A report on the work done for my Ph.D J.P.Lancelot CONTENTS 1. Introduction 2. Imaging Through Atmospheric turbulence 2.1 The statistics of

More information

10.0 Absolute Measurements. Computers make it possible to perform measurements more accurate than the reference surface

10.0 Absolute Measurements. Computers make it possible to perform measurements more accurate than the reference surface 10.0 Absolute Measurements Computers make it possible to perform measurements more accurate than the reference surface 10.0 Absolute Measurements n 10.0 Absolute Measurements 10.1 Flat Surfaces 10.2 Spherical

More information

10. OPTICAL COHERENCE TOMOGRAPHY

10. OPTICAL COHERENCE TOMOGRAPHY 1. OPTICAL COHERENCE TOMOGRAPHY Optical coherence tomography (OCT) is a label-free (intrinsic contrast) technique that enables 3D imaging of tissues. The principle of its operation relies on low-coherence

More information

OPTI510R: Photonics. Khanh Kieu College of Optical Sciences, University of Arizona Meinel building R.626

OPTI510R: Photonics. Khanh Kieu College of Optical Sciences, University of Arizona Meinel building R.626 OPTI510R: Photonics Khanh Kieu College of Optical Sciences, University of Arizona kkieu@optics.arizona.edu Meinel building R.626 Important announcements Homework #1 is due. Homework #2 is assigned, due

More information

Part 1 - Basic Interferometers for Optical Testing

Part 1 - Basic Interferometers for Optical Testing Part 1 - Basic Interferometers for Optical Testing Two Beam Interference Fizeau and Twyman-Green interferometers Basic techniques for testing flat and spherical surfaces Mach-Zehnder Zehnder,, Scatterplate

More information

Metrology and Sensing

Metrology and Sensing Metrology and Sensing Lecture 5: Interferometry I 07--6 Herbert Gross Winter term 07 www.iap.uni-jena.de Preliminary Schedule No Date Subject Detailed Content 9.0. Introduction Introduction, optical measurements,

More information

Chapter 9 Spatial Coherence

Chapter 9 Spatial Coherence Chapter 9 Spatial Coherence [Continue reading: Goodman, Statistical Optics, Chapter 5 Again we use the interference experiment as a vehicle for discussing spatial coherence Young s double slit experiment

More information

Metrology and Sensing

Metrology and Sensing Metrology and Sensing Lecture 5: Interferometry I 06--09 Herbert Gross Winter term 06 www.iap.uni-jena.de Preliminary Schedule No Date Subject Detailed Content 8.0. Introduction Introduction, optical measurements,

More information

Fourier Transform Spectrograph Development Project

Fourier Transform Spectrograph Development Project Fourier Transform Spectrograph Development Project NARIT Research Colloquium / Research Project Evaluation 2018 August 2 nd, Flora Creek Hotel, Chiangmai C. Buisset 1, P. Artsang 2, P. Meemon 2, 1 National

More information

Modeling of the fringe shift in multiple beam interference for glass fibers

Modeling of the fringe shift in multiple beam interference for glass fibers PRAMANA c Indian Academy of Sciences Vol. 70, No. 4 journal of April 2008 physics pp. 643 648 Modeling of the fringe shift in multiple beam interference for glass fibers A M HAMED 1 Physics Department,

More information

THE MICHELSON INTERFEROMETER Intermediate ( first part) to Advanced (latter parts)

THE MICHELSON INTERFEROMETER Intermediate ( first part) to Advanced (latter parts) THE MICHELSON INTERFEROMETER Intermediate ( first part) to Advanced (latter parts) Goal: There is a progression of goals for this experiment but you do not have to do the last goal. The first goal is to

More information

Let us consider a typical Michelson interferometer, where a broadband source is used for illumination (Fig. 1a).

Let us consider a typical Michelson interferometer, where a broadband source is used for illumination (Fig. 1a). 7.1. Low-Coherence Interferometry (LCI) Let us consider a typical Michelson interferometer, where a broadband source is used for illumination (Fig. 1a). The light is split by the beam splitter (BS) and

More information

An Overview of Advanced LIGO Interferometry

An Overview of Advanced LIGO Interferometry An Overview of Advanced LIGO Interferometry Luca Matone Columbia Experimental Gravity group (GECo) Jul 16-20, 2012 LIGO-G1200743 Day Topic References 1 2 3 4 5 Gravitational Waves, Michelson IFO, Fabry-Perot

More information

Introduction to FT-IR Spectroscopy

Introduction to FT-IR Spectroscopy Introduction to FT-IR Spectroscopy An FT-IR Spectrometer is an instrument which acquires broadband NIR to FIR spectra. Unlike a dispersive instrument, i.e. grating monochromator or spectrograph, an FT-IR

More information

Spectral-domain measurement of phase modal birefringence in polarization-maintaining fiber

Spectral-domain measurement of phase modal birefringence in polarization-maintaining fiber Spectral-domain measurement of phase modal birefringence in polarization-maintaining fiber Petr Hlubina and Dalibor Ciprian Department of Physics, Technical University Ostrava, 17. listopadu 15, 708 33

More information

VACUUM SUPPORT FOR A LARGE INTERFEROMETRIC REFERENCE SURFACE

VACUUM SUPPORT FOR A LARGE INTERFEROMETRIC REFERENCE SURFACE VACUUM SUPPORT FOR A LARGE INTERFEROMETRIC REFERENCE SURFACE Masaki Hosoda, Robert E. Parks, and James H. Burge College of Optical Sciences University of Arizona Tucson, Arizona 85721 OVERVIEW This paper

More information

Maximum likelihood estimation as a general method of combining. sub-aperture data for interferometric testing

Maximum likelihood estimation as a general method of combining. sub-aperture data for interferometric testing Maximum likelihood estimation as a general method of combining sub-aperture data for interferometric testing Peng Su, Jim Burge, Robert A. Sprowl and Jose Sasian College of Optical Sciences, University

More information

PHY410 Optics Exam #3

PHY410 Optics Exam #3 PHY410 Optics Exam #3 NAME: 1 2 Multiple Choice Section - 5 pts each 1. A continuous He-Ne laser beam (632.8 nm) is chopped, using a spinning aperture, into 500 nanosecond pulses. Compute the resultant

More information

Effects of birefringence on Fizeau interferometry that uses polarization phase shifting technique

Effects of birefringence on Fizeau interferometry that uses polarization phase shifting technique Effects of birefringence on Fizeau interferometr that uses polarization phase shifting technique Chunu Zhao, Dongel Kang and James H. Burge College of Optical Sciences, the Universit of Arizona 1630 E.

More information

Spectroscopic Instruments

Spectroscopic Instruments Spectroscopic Instruments 95 Spectroscopic Instruments by division of amplitude Mach-Zehnder (division of amplitude) Michelson Fringe localisation LIGO Fabry-Perot (FPI) Multi-layer coatings 96 Mach-Zehnder

More information

Correction of Errors in Polarization Based Dynamic Phase Shifting Interferometers

Correction of Errors in Polarization Based Dynamic Phase Shifting Interferometers Correction of Errors in Polarization Based Dynamic Phase Shifting Interferometers Bradley Kimbrough 4D Technology Corporation, Tucson Arizona brad.kimbrough@4dtechnology.com 1 Introduction Polarization

More information

Cheapest nuller in the World: Crossed beamsplitter cubes

Cheapest nuller in the World: Crossed beamsplitter cubes Cheapest nuller in the World: François Hénault Institut de Planétologie et d Astrophysique de Grenoble, Université Joseph Fourier, CNRS, B.P. 53, 38041 Grenoble France Alain Spang Laboratoire Lagrange,

More information

Polarization Shearing Interferometer (PSI) Based Wavefront Sensor for Adaptive Optics Application. A.K.Saxena and J.P.Lancelot

Polarization Shearing Interferometer (PSI) Based Wavefront Sensor for Adaptive Optics Application. A.K.Saxena and J.P.Lancelot Polarization Shearing Interferometer (PSI) Based Wavefront Sensor for Adaptive Optics Application A.K.Saxena and J.P.Lancelot Adaptive Optics A Closed loop Optical system to compensate atmospheric turbulence

More information

Development of Polarization Interferometer Based on Fourier Transform Spectroscopy for Thomson Scattering Diagnostics

Development of Polarization Interferometer Based on Fourier Transform Spectroscopy for Thomson Scattering Diagnostics 16th International Toki Conference Advanced Imaging and Plasma Diagnostics Ceratopia Toki, Gifu, JAPAN December 5-8, 2006 Development of Polarization Interferometer Based on Fourier Transform Spectroscopy

More information

32. Interference and Coherence

32. Interference and Coherence 32. Interference and Coherence Interference Only parallel polarizations interfere Interference of a wave with itself The Michelson Interferometer Fringes in delay Measure of temporal coherence Interference

More information

Where are the Fringes? (in a real system) Div. of Amplitude - Wedged Plates. Fringe Localisation Double Slit. Fringe Localisation Grating

Where are the Fringes? (in a real system) Div. of Amplitude - Wedged Plates. Fringe Localisation Double Slit. Fringe Localisation Grating Where are the Fringes? (in a real system) Fringe Localisation Double Slit spatial modulation transverse fringes? everywhere or well localised? affected by source properties: coherence, extension Plane

More information

LAB DEMONSTRATION OF INTERFEROMETRIC

LAB DEMONSTRATION OF INTERFEROMETRIC LAB DEMONSTRATION OF INTERFEROMETRIC MEASUREMENT USING A TEST PLATE AND CGH Presented to: Larry Stepp Eric Hansen The Association of Universities for Research in Astronomy, Inc. Tucson, AZ, 85726 Prepared

More information

Homogeneity of optical glass

Homogeneity of optical glass 1 Version ebruary 2016 Introduction SCHOTT offers machined optical glasses with homogeneities up to H5 quality. I-Line glasses can even be offered in higher homogeneities. The achievable homogeneity depends

More information

Week 7: Interference

Week 7: Interference Week 7: Interference Superposition: Till now we have mostly discusssed single waves. While discussing group velocity we did talk briefly about superposing more than one wave. We will now focus on superposition

More information

34. Even more Interference Effects

34. Even more Interference Effects 34. Even more Interference Effects The Fabry-Perot interferometer Thin-film interference Anti-reflection coatings Single- and multi-layer Advanced topic: Photonic crystals Natural and artificial periodic

More information

The science of light. P. Ewart

The science of light. P. Ewart The science of light P. Ewart Oxford Physics: Second Year, Optics Parallel reflecting surfaces t images source Extended source path difference xcos 2t=x Fringes localized at infinity Circular fringe constant

More information

All-Optical Delay with Large Dynamic Range Using Atomic Dispersion

All-Optical Delay with Large Dynamic Range Using Atomic Dispersion All-Optical Delay with Large Dynamic Range Using Atomic Dispersion M. R. Vanner, R. J. McLean, P. Hannaford and A. M. Akulshin Centre for Atom Optics and Ultrafast Spectroscopy February 2008 Motivation

More information

Decoding the spectra of low-finesse extrinsic optical fiber Fabry-Perot interferometers

Decoding the spectra of low-finesse extrinsic optical fiber Fabry-Perot interferometers Decoding the spectra of low-finesse extrinsic optical fiber Fabry-Perot interferometers Cheng Ma, * Bo Dong, Jianmin Gong and Anbo Wang Center for Photonics Technology, Bradley department of Electrical

More information

COMPUTER GENERATED HOLOGRAMS Optical Sciences 627 W.J. Dallas (Monday, August 23, 2004, 12:14 PM)

COMPUTER GENERATED HOLOGRAMS Optical Sciences 627 W.J. Dallas (Monday, August 23, 2004, 12:14 PM) COMPUTER GENERATED HOLOGRAMS Optical Sciences 67 W.J. Dallas (Monday, August 3, 4, 1:14 PM) PART IV: CHAPTER FOUR OPTICAL TESTING Part IV: Chapter Four Page 1 of 1 Introduction In optical testing an element

More information

Michelson Interferometer. crucial role in Einstein s development of the Special Theory of Relativity.

Michelson Interferometer. crucial role in Einstein s development of the Special Theory of Relativity. Michelson Interferometer The interferometer Michelson experiment Interferometer of Michelson and Morley played 0 a crucial role in Einstein s development of the Special Theory of Relativity. Michelson

More information

Optical Sciences Center, Rm 704 University of Arizona Tucson, AZ Office Hours: Call for appointment or see after class

Optical Sciences Center, Rm 704 University of Arizona Tucson, AZ Office Hours: Call for appointment or see after class Term: Spring 2000 Course #: OPTI 505 Course Title: Diffraction and Interferometry Instructor: James C. Wyant Optical Sciences Center, Rm 704 University of Arizona Tucson, AZ 85721 Phone: 520-621-2448 E-Mail:

More information

High-Resolution Imagers

High-Resolution Imagers 40 Telescopes and Imagers High-Resolution Imagers High-resolution imagers look at very small fields of view with diffraction-limited angular resolution. As the field is small, intrinsic aberrations are

More information

ROTATIONAL SHEARING INTERFEROMATER. Introduction. The Interferometer. L. Yeswanth, Optics Group, IIA, Bangalore

ROTATIONAL SHEARING INTERFEROMATER. Introduction. The Interferometer. L. Yeswanth, Optics Group, IIA, Bangalore ROTATIONAL SHEARING INTERFEROMATER L. Yeswanth, Optics Group, IIA, Bangalore Introduction A rotational shearing interferometer is a modification of the Michelson s interferometer to obtain the spatial

More information

Ultrafast Wavelength Tuning and Scaling Properties of a Noncollinear Optical Parametric Oscillator (NOPO)

Ultrafast Wavelength Tuning and Scaling Properties of a Noncollinear Optical Parametric Oscillator (NOPO) Ultrafast Wavelength Tuning and Scaling Properties of a Noncollinear Optical Parametric Oscillator (NOPO) Thomas Binhammer 1, Yuliya Khanukaeva 2, Alexander Pape 1, Oliver Prochnow 1, Jan Ahrens 1, Andreas

More information

Optics, Light and Lasers

Optics, Light and Lasers Dieter Meschede Optics, Light and Lasers The Practical Approach to Modern Aspects of Photonics and Laser Physics Second, Revised and Enlarged Edition BICENTENNIAL.... n 4 '':- t' 1 8 0 7 $W1LEY 2007 tri

More information

Thermal Expansion property and Surface Finish capability of CLEARCERAM -Z series for EUVL Photomask Substrate Application

Thermal Expansion property and Surface Finish capability of CLEARCERAM -Z series for EUVL Photomask Substrate Application Thermal Expansion property and Surface Finish capability of CLEARCERAM -Z series for EUVL Photomask Substrate Application Kousuke Nakajima, Toshihide Nakajima, Yoshiyuki Owari OHARA Incorporated 3 rd International

More information

TA/TI survey. Phy Phy

TA/TI survey.   Phy Phy TA/TI survey https://webapps.pas.rochester.edu/secure/phpq/ Phy121 7 60 73 Phy123 1 6 11 Chapter 34 The Wave Nature of Light; Interference Units of Chapter 34 34-5 Interference in Thin Films 34-6 Michelson

More information

Absolute length measurement using multiple-wavelength phase-stepping interferometry

Absolute length measurement using multiple-wavelength phase-stepping interferometry UNIVERSITY OF LONDON 1 IMPERIAL COLLEGE OF SCIENCE,TECHNOLOGY AND MEDICINE DEPARTMENT OF PHYSICS APPLIED OPTICS GROUP Absolute length measurement using multiple-wavelength phase-stepping interferometry

More information

Gratings in Electrooptic Polymer Devices

Gratings in Electrooptic Polymer Devices Gratings in Electrooptic Polymer Devices Venkata N.P.Sivashankar 1, Edward M. McKenna 2 and Alan R.Mickelson 3 Department of Electrical and Computer Engineering, University of Colorado at Boulder, Boulder,

More information

Phase-Referencing and the Atmosphere

Phase-Referencing and the Atmosphere Phase-Referencing and the Atmosphere Francoise Delplancke Outline: Basic principle of phase-referencing Atmospheric / astrophysical limitations Phase-referencing requirements: Practical problems: dispersion

More information

Recent progress in SR interferometer

Recent progress in SR interferometer Recent progress in SR interferometer -for small beam size measurement- T. Mitsuhashi, KEK Agenda 1. Brief introduction of beam size measurement through SR interferometry. 2. Theoretical resolution of interferometry

More information

A faster, more accurate way of characterizing cube beamsplitters using the Agilent Cary 7000 Universal Measurement Spectrophotometer (UMS)

A faster, more accurate way of characterizing cube beamsplitters using the Agilent Cary 7000 Universal Measurement Spectrophotometer (UMS) A faster, more accurate way of characterizing cube beamsplitters using the Agilent Cary 7000 Universal Measurement Spectrophotometer (UMS) Application note Materials Authors Travis Burt, Chris Colley,

More information

Simulations of an etched spiral axial attenuation scheme for an on-axis reflecting telescope

Simulations of an etched spiral axial attenuation scheme for an on-axis reflecting telescope Journal of Physics: Conference Series PAPER OPEN ACCESS Simulations of an etched spiral axial attenuation scheme for an on-axis reflecting telescope To cite this article: Aaron Spector and Guido Mueller

More information

WORCESTER POLYTECHNIC INSTITUTE

WORCESTER POLYTECHNIC INSTITUTE WORCESTER POLYTECHNIC INSTITUTE MECHANICAL ENGINEERING DEPARTMENT Optical Metrology and NDT ME-593L, C 018 Introduction: Wave Optics January 018 Wave optics: light waves Wave equation An optical wave --

More information

Figure measurement of a large optical flat with a Fizeau interferometer and stitching technique

Figure measurement of a large optical flat with a Fizeau interferometer and stitching technique Figure measurement of a large optical flat with a Fizeau interferometer and stitching technique Chunyu Zhao a, Robert A. Sprowl a, Michael Bray b, James H. Burge a a College of Optical Sciences, the University

More information

The Nulling Coronagraph Using a Nulling Interferometer for Planet Detection in Visible Light with a Single Aperture Telescope

The Nulling Coronagraph Using a Nulling Interferometer for Planet Detection in Visible Light with a Single Aperture Telescope Terrestrial Planet Finder The Nulling Coronagraph Using a Nulling Interferometer for Planet Detection in Visible Light with a Single Aperture Telescope Michael Shao, B. Martin Levine, Duncan Liu, J. Kent

More information

TITLE: Interferometry: The Michelson Interferometer

TITLE: Interferometry: The Michelson Interferometer TITLE: Interferometry: The Michelson Interferometer Contributed by: Yolanda Flores Baboquivari High School Summary: The lesson begins with a demonstration introducing students to interference fringes formed

More information

! Fiber!Laser!Intracavity!Absorption! Spectroscopy!(FLICAS)!of!CO/CO2! mixture.!!! This experiment will expose you to tools and approaches, common in

! Fiber!Laser!Intracavity!Absorption! Spectroscopy!(FLICAS)!of!CO/CO2! mixture.!!! This experiment will expose you to tools and approaches, common in FiberLaserIntracavityAbsorption Spectroscopy(FLICAS)ofCO/CO2 mixture. This experiment will expose you to tools and approaches, common in modern laser spectroscopy. During the following weeks we will cover

More information

GIFTS Interferometric Noise Sources

GIFTS Interferometric Noise Sources GIFTS Interferometric Noise Sources An Instrument Subsystem Systems Engineering Support Report Prepared by: Space Science and Engineering Center University of Wisconsin-Madison Under NASA Langley Contract:

More information

Coherence and Fringe Localization

Coherence and Fringe Localization 5 Coherence and Fringe Localization T.D. Milster and N.A. Beaudry A basic functional form for an electromagnetic disturbance from a laser can be described as a simple plane wave traveling in the z direction

More information

Design of Uniform Fiber Bragg grating using Transfer matrix method

Design of Uniform Fiber Bragg grating using Transfer matrix method International Journal of Computational Engineering Research Vol, 3 Issue, 5 Design of Uniform Fiber Bragg grating using Transfer matrix method Deba Kumar Mahanta Department of Electrical Engineering, Assam

More information

Incoherent wind velocity sensing with a two-beam interferometer

Incoherent wind velocity sensing with a two-beam interferometer U-UR- 0()-4666 Incoherent wind velocity sensing with a two-beam interferometer Ralph R Berggren Los Alamos National f.oborato~, E526 iks Alms, NM87545 Phone 505-667-0593,fhx 505-665-6834, @WQMm@y David

More information

OPTI510R: Photonics. Khanh Kieu College of Optical Sciences, University of Arizona Meinel building R.626

OPTI510R: Photonics. Khanh Kieu College of Optical Sciences, University of Arizona Meinel building R.626 OPTI510R: Photonics Khanh Kieu College of Optical Sciences, University of Arizona kkieu@optics.arizona.edu Meinel building R.626 Important announcements Homework #1 assigned, due Jan 24 No class Monday,

More information

Optical Shop Testing. Second Edition. Edited by DANIEL MALACARA. John Wiley & Sons, Inc. A Wiley-Interscience Publication

Optical Shop Testing. Second Edition. Edited by DANIEL MALACARA. John Wiley & Sons, Inc. A Wiley-Interscience Publication Optical Shop Testing Second Edition Edited by DANIEL MALACARA A Wiley-Interscience Publication John Wiley & Sons, Inc. New York I Chichester I Brisbane I Toronto I Singapore Contents Preface to the Second

More information

Coherence. This is based on. Chapter 10. Statistical Optics, Fundamentals of Photonics Bahaa E. A. Saleh, Malvin Carl Teich. and

Coherence. This is based on. Chapter 10. Statistical Optics, Fundamentals of Photonics Bahaa E. A. Saleh, Malvin Carl Teich. and Coherence This is based on Chapter 10. Statistical Optics, Fundamentals of Photonics Bahaa E. A. Saleh, Malvin Carl Teich and Lecture Note on Laser Technology and Optics Prof. Matti Kaivola Optics and

More information

x Contents Segmented Mirror Telescopes Metal and Lightweight Mirrors Mirror Polishing

x Contents Segmented Mirror Telescopes Metal and Lightweight Mirrors Mirror Polishing Contents 1 Fundamentals of Optical Telescopes... 1 1.1 A Brief History of Optical Telescopes.................... 1 1.2 General Astronomical Requirements..................... 6 1.2.1 Angular Resolution.............................

More information

Analysis of the signal fall-off in spectral domain optical coherence tomography systems

Analysis of the signal fall-off in spectral domain optical coherence tomography systems Analysis of the signal fall-off in spectral domain optical coherence tomography systems M. Hagen-Eggert 1,2,P.Koch 3, G.Hüttmann 2 1 Medical Laser Center Lübeck, Germany 2 Institute of Biomedical Optics

More information

Phys 2310 Mon. Dec. 11, 2014 Today s Topics. Begin Chapter 9: Interference Reading for Next Time

Phys 2310 Mon. Dec. 11, 2014 Today s Topics. Begin Chapter 9: Interference Reading for Next Time Phys 30 Mon. Dec., 04 Todays Topics Begin Chapter 9: nterference Reading for Next Time Reading this Week By Wed.: Begin Ch. 9 (9. 9.3) General Considerations, Conditions for nterference, Wavefront-splitting

More information

Optical Frequency Comb Fourier Transform Spectroscopy with Resolution beyond the Path Difference Limit

Optical Frequency Comb Fourier Transform Spectroscopy with Resolution beyond the Path Difference Limit Optical Frequency Comb Fourier Transform Spectroscopy with Resolution beyond the Path Difference Limit Aleksandra Foltynowicz, Alexandra C. Johansson, Amir Khodabakhsh, Lucile Rutkowski Department of Physics,

More information

The Fiber Optic Gyroscope a SAGNAC Interferometer for Inertial Sensor Applications

The Fiber Optic Gyroscope a SAGNAC Interferometer for Inertial Sensor Applications Contributing International Traveling Summer School 2007, Pforzheim: The Fiber Optic Gyroscope a SAGNAC Interferometer for Inertial Sensor Applications Thomas Erler 12th July 2007 1 0. Outline 1. Scope

More information

Use of computer generated holograms for alignment of complex null correctors

Use of computer generated holograms for alignment of complex null correctors Use of computer generated holograms for alignment of complex null correctors Rene Zehnder, James H. Burge and Chunyu Zhao College of Optical Sciences, the University of Arizona 1630 E. University Blvd,

More information

Supplemental material for Bound electron nonlinearity beyond the ionization threshold

Supplemental material for Bound electron nonlinearity beyond the ionization threshold Supplemental material for Bound electron nonlinearity beyond the ionization threshold 1. Experimental setup The laser used in the experiments is a λ=800 nm Ti:Sapphire amplifier producing 42 fs, 10 mj

More information

Efficient mode transformations of degenerate Laguerre Gaussian beams

Efficient mode transformations of degenerate Laguerre Gaussian beams Efficient mode transformations of degenerate Laguerre Gaussian beams Galina Machavariani, Amiel A. Ishaaya, Liran Shimshi, Nir Davidson, Asher A. Friesem, and Erez Hasman We present an approach for efficient

More information

Pioneer anomaly: Implications for LISA?

Pioneer anomaly: Implications for LISA? Pioneer anomaly: Implications for LISA? Denis Defrère Astrophysics and Geophysics Institute of Liege (Belgium) Andreas Rathke EADS Astrium GmbH Friedrichshafen (Germany) ISSI Meeting - Bern November 10th

More information

Flexible A-scan rate MHz OCT: Computational downscaling by coherent averaging

Flexible A-scan rate MHz OCT: Computational downscaling by coherent averaging Flexible A-scan rate MHz OCT: Computational downscaling by coherent averaging Tom Pfeiffer 1, Wolfgang Wieser 3, Thomas Klein 3, Markus Petermann 2,3, Jan-Phillip Kolb 1, Matthias Eibl 1 and Robert Huber

More information

1 N star coupler as a distributed fiber-optic strain sensor in a white-light interferometer

1 N star coupler as a distributed fiber-optic strain sensor in a white-light interferometer 1 star coupler as a distributed fiber-optic strain sensor in a white-light interferometer Libo Yuan and Limin Zhou A novel technique of using a 1 star fiber optic coupler as a distributed strain sensor

More information

OPTICS. Learning by Computing, with Examples Using Mathcad, Matlab, Mathematica, and Maple. K.D. Möller. Second Edition. With 308 Illustrations

OPTICS. Learning by Computing, with Examples Using Mathcad, Matlab, Mathematica, and Maple. K.D. Möller. Second Edition. With 308 Illustrations Optics OPTICS Learning by Computing, with Examples Using Mathcad, Matlab, Mathematica, and Maple Second Edition K.D. Möller With 308 Illustrations Includes CD-ROM With Mathcad Matlab Mathematica 123 K.D.

More information

Contents Preface iii 1 Origins and Manifestations of Speckle 2 Random Phasor Sums 3 First-Order Statistical Properties

Contents Preface iii 1 Origins and Manifestations of Speckle 2 Random Phasor Sums 3 First-Order Statistical Properties Contents Preface iii 1 Origins and Manifestations of Speckle 1 1.1 General Background............................. 1 1.2 Intuitive Explanation of the Cause of Speckle................ 2 1.3 Some Mathematical

More information

Chemistry Instrumental Analysis Lecture 15. Chem 4631

Chemistry Instrumental Analysis Lecture 15. Chem 4631 Chemistry 4631 Instrumental Analysis Lecture 15 IR Instruments Types of Instrumentation Dispersive Spectrophotometers (gratings) Fourier transform spectrometers (interferometer) Single beam Double beam

More information

Fringe shifts in multiple-beam Fizeau interferometry

Fringe shifts in multiple-beam Fizeau interferometry 638 J. Opt. Soc. Am./Vol. 72, No. 5/May 1982 Fringe shifts in multiple-beam Fizeau interferometry Optical Sciences Center, University of Arizona, Tucson, Arizona 85721 Received August 7,1981; revised manuscript

More information

Revisiting Fizeau s Observations: Spectral study of Na source using Newton s rings. Abstract

Revisiting Fizeau s Observations: Spectral study of Na source using Newton s rings. Abstract Revisiting Fizeau s Observations: Spectral study of Na source using Newton s rings K S Umesh #, Denny Melkay, J Adithya, Sai Prem Shaji, N Ganesh, R Dharmaraj, Rajkumar Jain, S Nanjundan # Author for correspondence:

More information

Using dispersion-induced group delay to solve the integer ambiguity problem: a theoretical analysis

Using dispersion-induced group delay to solve the integer ambiguity problem: a theoretical analysis J. Eur. Opt. Soc.-Rapid 10, 15035 (2015) www.jeos.org Using dispersion-induced group delay to solve the integer ambiguity problem: a theoretical analysis D. Wei weidong@mech.nagaokaut.ac.jp Department

More information

Physical Optics. Lecture 7: Coherence Herbert Gross.

Physical Optics. Lecture 7: Coherence Herbert Gross. Physical Optics Lecture 7: Coherence 07-05-7 Herbert Gross www.iap.uni-jena.de Physical Optics: Content No Date Subject Ref Detailed Content 05.04. Wave optics G Complex fields, wave equation, k-vectors,

More information

Edward S. Rogers Sr. Department of Electrical and Computer Engineering. ECE318S Fundamentals of Optics. Final Exam. April 16, 2007.

Edward S. Rogers Sr. Department of Electrical and Computer Engineering. ECE318S Fundamentals of Optics. Final Exam. April 16, 2007. Edward S. Rogers Sr. Department of Electrical and Computer Engineering ECE318S Fundamentals of Optics Final Exam April 16, 2007 Exam Type: D (Close-book + two double-sided aid sheets + a non-programmable

More information

LECTURE 23: LIGHT. Propagation of Light Huygen s Principle

LECTURE 23: LIGHT. Propagation of Light Huygen s Principle LECTURE 23: LIGHT Propagation of Light Reflection & Refraction Internal Reflection Propagation of Light Huygen s Principle Each point on a primary wavefront serves as the source of spherical secondary

More information

ULTRAFAST COMPONENTS

ULTRAFAST COMPONENTS ULTRAFAST COMPONENTS Mirrors CVI Laser Optics offers both the PulseLine family of optical components and other existing product lines that are ideal for use with femtosecond lasers and associated applications.

More information

Interference, Diffraction and Fourier Theory. ATI 2014 Lecture 02! Keller and Kenworthy

Interference, Diffraction and Fourier Theory. ATI 2014 Lecture 02! Keller and Kenworthy Interference, Diffraction and Fourier Theory ATI 2014 Lecture 02! Keller and Kenworthy The three major branches of optics Geometrical Optics Light travels as straight rays Physical Optics Light can be

More information

Introduction to Interferometer and Coronagraph Imaging

Introduction to Interferometer and Coronagraph Imaging Introduction to Interferometer and Coronagraph Imaging Wesley A. Traub NASA Jet Propulsion Laboratory and Harvard-Smithsonian Center for Astrophysics Michelson Summer School on Astrometry Caltech, Pasadena

More information

Spectral Resolution in Interferometry

Spectral Resolution in Interferometry Spectral Resolution in Interferometry Christopher Tycner Michelson Postdoctoral Fellow @ U. S. Naval Observatory Flagstaff Station Outline Spectral Resolution in Interferometry Implementation Benefits

More information

TMT Metrology study for M2 and M3

TMT Metrology study for M2 and M3 Consultants for Optical Metrology Tucson, Arizona 1 Introduction... 2 2 Requirements for optical test hardware... 3 3 Subaperture interferometry with stitching software... 4 3.1 Fizeau interferometry...

More information

Lecture 09: Interferometers

Lecture 09: Interferometers 1/31/16 PHYS 45 Fall semester 16 Lecture 9: Interferometers Ron Reifenberger Birck Nanotechnology Center Purue University Lecture 9 1 Two Types of Interference Division of Wavefront primary wavefront emits

More information

A Fabry-Perot Interferometer System for high-speed velocity measurement. Lun K. Cheng, A.J.A. Bruinsma, W.C. Prinse* and C.

A Fabry-Perot Interferometer System for high-speed velocity measurement. Lun K. Cheng, A.J.A. Bruinsma, W.C. Prinse* and C. A Fabry-Perot Interferometer System for high-speed velocity measurement Lun K. Cheng, A.J.A. Bruinsma, W.C. Prinse* and C. Smorenburg TNO Inst. of Appi. Phys., 2600 AD Deift, The Netherlands *TNO Prins

More information

The Principles of Astronomical Telescope Design

The Principles of Astronomical Telescope Design The Principles of Astronomical Telescope Design Jingquan Cheng National Radio Astronomy Observatory Charlottesville, Virginia,.USA " 4y Springer Fundamentals of Optical Telescopes 1 1.1 A Brief History

More information

Pipeline reductions of AMBER calibrator data

Pipeline reductions of AMBER calibrator data Pipeline reductions of AMBER calibrator data Christian A. Hummel ESO, Karl-Schwarzschild-Str. 2, 85748 Garching, Germany ABSTRACT Service (and visitor) mode operations by ESO involving the three-beam NIR

More information

Lecture PowerPoints. Chapter 24 Physics: Principles with Applications, 7 th edition Giancoli

Lecture PowerPoints. Chapter 24 Physics: Principles with Applications, 7 th edition Giancoli Lecture PowerPoints Chapter 24 Physics: Principles with Applications, 7 th edition Giancoli This work is protected by United States copyright laws and is provided solely for the use of instructors in teaching

More information

Data modeling and interpretation of interferometric data. Antoine Mérand ESO/Garching VLTI Programme Scientist

Data modeling and interpretation of interferometric data. Antoine Mérand ESO/Garching VLTI Programme Scientist Data modeling and interpretation of interferometric data Antoine Mérand ESO/Garching VLTI Programme Scientist Garching - March 6th, 2017 Tone of the talk Oriented toward instrumental aspects with important

More information

Palomar Testbed Interferometer (PTI) & Keck Interferometer (KI) Mark Colavita 7/29/2005 Michelson Summer School Pasadena, CA

Palomar Testbed Interferometer (PTI) & Keck Interferometer (KI) Mark Colavita 7/29/2005 Michelson Summer School Pasadena, CA Palomar Testbed Interferometer (PTI) & Keck Interferometer (KI) Mark Colavita 7/29/2005 Michelson Summer School Pasadena, CA PTI as seen from the catwalk of the 200 telescope Michelson Interferometer stellar

More information

OPTICAL FIBRES IN ASTRONOMY (OP-006) Course Overview

OPTICAL FIBRES IN ASTRONOMY (OP-006) Course Overview OPTICAL FIBRES IN ASTRONOMY (OP-006) Course Overview The course, based on practical experience and containing several examples of real instruments, is focused on the application of optical fibres in Astronomy.

More information

PRINCIPLES OF PHYSICAL OPTICS

PRINCIPLES OF PHYSICAL OPTICS PRINCIPLES OF PHYSICAL OPTICS C. A. Bennett University of North Carolina At Asheville WILEY- INTERSCIENCE A JOHN WILEY & SONS, INC., PUBLICATION CONTENTS Preface 1 The Physics of Waves 1 1.1 Introduction

More information

Interferometer Circuits. Professor David H. Staelin

Interferometer Circuits. Professor David H. Staelin Interferometer Circuits Professor David H. Staelin Massachusetts Institute of Technology Lec18.5-1 Basic Aperture Synthesis Equation Recall: E( ) E r,t,t E E λ = λ { } Ι ( Ψ ) E R E τ φ τ Ψ,t,T E A Ψ 2

More information