Applications of Piezo Actuators for Space Instrument Optical Alignment

Size: px
Start display at page:

Download "Applications of Piezo Actuators for Space Instrument Optical Alignment"

Transcription

1 Year 4 University of Birmingham Presentation Applications of Piezo Actuators for Space Instrument Optical Alignment Michelle Louise Antonik Supervisor: Prof. B. Swinyard

2 Outline of Presentation Introduction Background Method Developed Results Gained Future Possibilities Conclusions Questions

3 Introduction This project aims to create an alignment system that can see movement of 1μm Why? The James Webb Space Telescope will carry several instruments that operate at cryogenic temperatures RAL is tasked with observing structural changes in one of the instruments, MIRI, at 7K The alignment device that is to be used currently only has a accuracy of 6μm

4 Fibre Optic Sensors Fibre optic sensors are to be used to detect the change in shape All electronics are kept out of the cryostat making it a passive system Work by sending a light signal down the optical fibre which is reflected off a surface back into the fibre.

5 Purpose of Alignment System Need to increase accuracy of the fibre optic system Create an alignment system that designed to detect small movements Piezo actuator used to simulate the movements of MIRI Piezo actuator s movement is unknown Calibrate it sufficiently becomes predictable and repeatable

6 Purpose of Alignment System Once piezo actuator is calibrated place in MIRI s position If small movements by the piezo actuator produce repeatable changes in the fibre optic sensor s output then the sensors can be calibrated to a higher accuracy

7 Alignment Systems What are alignment systems? Alignment systems allow components to be placed in the correct relative positions to each other, essential for high accuracy work Many different types Interested in passive, optical systems These are cheaper and less noisy than other systems

8 Alignment Systems Passive optical alignment systems are either photogrammetry based or laser based Photogrammetry based systems have maximum accuracies of 150μm Laser based systems using interferometry have accuracies of less than 1nm

9 How the Piezo Actuator Works What are piezo actuators? Is based around a piezoelectric crystal These crystals expand or contract when a potential difference is placed across them Two types of crystal: ferroelectric and nonferroelectric

10 Ferroelectric Crystals Ferroelectric crystals have two or more stable orientations in which the atoms can be arranged By applying a mechanical stress across the crystal the atoms are forced into more compact arrangement Change of ion s position changes the polarisation of the crystal Courtesy of C. Kittel, Introduction to Solid State Physics, 5th ed., 1976, John Wiley & Sons Inc.

11 Non-Ferroelectric Crystals Non-ferroelectric crystals have three equal dipole moments that have a sum at the vertex of zero A mechanical stress compresses the crystal which distorts the dipoles When the sum at the vertex is not zero, there is a polarisation across the crystal Courtesy of C. Kittel, Introduction to Solid State Physics, 5th ed., 1976, John Wiley & Sons Inc.

12 Piezoelectric Crystals Equations for crystal s polarisation and elastic strain both contain the stress the crystal is under and the electric field affecting it

13 How the Piezo Actuator Works Cont. a Piezoelectric crystal, b Sliding block, c guiding rod, d fixed frame Courtesy of attocube systems User Manual Inertial XYZ Positioner ANPxyz100.

14 Rough Calibration of the Piezo Initially a rough calibration of the piezo was required to understand it s movement This was done by using a linear voltage displacement transducer (LVDT) An LVDT probe has a central core that is pushed into three wire coils

15 Rough Calibration of the Piezo LVDT placed against the piezo actuator Piezo actuator moved outwards by 50 steps at a time Mean Step Size (mm) Step Number

16 Original Method Fine calibration of piezo actuator Original idea was a basic phogrammetry technique with simple geometry As the mirror moved the laser beam travelled further Angles translated this to movement across the webcam

17 Limitations Imposed Limitations on the sensitivity of the alignment system are imposed by the equipment used The main limitations are Resolution of the webcam s CCD Fish-eye lens has low sensitivity for small movements Angle of laser beam on the mirror

18 Limitations Imposed Resolution The resolution is the smallest possible distance between two points that the camera can see Is given by the Rayleigh Criterion: Θ = 1.22λ/D where λ is the wavelength of light and Θ and D are given as below

19 Limitations Imposed With the fish-eye lens Fish-eye lens allows large viewing area for a small detector Small movements near the optical axis become hidden Resolution was found by moving a large light source away from the webcam The height of the source was plotted against distance 750 from the webcam 650 One standard deviation was found to be 2 pixels 550 Gave resolution of 20μm Height of light source (pixels) Distance from lens (mm)

20 Limitations Imposed Without the fish-eye lens Resolution measured by moving webcam perpendicular to laser beam Linear relationship between distance moved by webcam and laser beam across CCD At regular intervals images were taken and brightness measured

21 Limitations Imposed One standard deviation for the points from the line allows an accuracy of the position to be taken to 0.5 pixels The resolution was 1.5μm Average Centroid (pixel) Position (mm)

22 Limitations Imposed Angle of the laser beam The angle at which the laser beam hits the mirror is the angle at which it is reflected A larger incident angle gives greater magnification of the mirror s movement Large angle means larger cross-section, gives less precision Angles less than 20 needed Even at maximum resolution is still more than 1μm

23 Development of Method As it was not possible to use photogrammetry techniques, interferometry techniques were tried instead. A Michelson interferometer was created Have accuracies of λ/2 Any noise will be known to come from cryostat rather than alignment system

24 Development of Method Dark rings are from destructive interference pd = mλ/2 Bright rings are from constructive interference pd = mλ Movement of piezo causes rings to disappear into centre Courtesy of

25 Development of Method Michelson set-up: a laser, b beam expander, c polariser, d iris, e half silvered mirror, f full silvered mirror, g piezo actuator with full silvered mirror mounted on top, h lens, i webcam, j optical axis

26 Development of Method Laser light too coherent Small defects in the set-up obscure the results A less perfect light source is needed Gives more complicated pattern Use a white filtered source

27 Final Method Adapted Michelson: b beam expander, d iris, e half silvered mirror, f full silvered mirror, g piezo actuator with full silvered mirror mounted on top, h lens, i webcam, j optical axis, k white light source with red filter, l second iris

28 Results Finding the Zero Path Difference Area Maximum Gray Scale Value Step Number

29 Results Close-up of the Zero Path Difference Area Gray Scale Value Step Number

30 Results Do not see the expected pattern Get zero intensity where a peak is expected Data still useable as distance between null points is the same as distance between peaks

31 Results Why do you not see the expected pattern? Webcams are designed to view large images Software maybe reducing fringes as they are small fluctuations The intensity at a given point due to polarisation is I = * E p ( φ) E ( φ) 1 p2 Light maybe changing polarisation slightly during reflection

32 Results Rough surfaces can generate a consistent phase change Path difference through the half silvered mirror is not equal Need to remove background from results

33 Results Background Removed from Image Taken Just Outside the Zero Path Difference Area 10 Gray Scale Value Distance Along CCD

34 Real Fringe Pattern If two mirrors are not aligned exactly a fringe pattern occurs Courtesy of Optics by E. Hecht

35 Results Background Removed from Image Inside the Zero Path Difference Area Gray Scale Value Distance Along CCD

36 Future Work Refine results Replace webcam with photo diode Step size of the piezo actuator Initial calibration found the step size to be approximately 400nm Wavelength of light is approx 600nm Can only see to 2λ/3

37 Future Work Cryogenically cool the piezo actuator for recalibration Piezo steps sizes will change as the piezo contracts Replace detector with fibre optic sensors

38 Conclusion The Michelson interferometer gives highly accurate results ensuring that noise detected will come from the cryostat Several adaptations needed before final calibration Replacing the webcam Adding in a compensator plate for the optical path difference Reducing piezo actuator s step size

39 Questions

Calibration of a portable interferometer for fiber optic connector endface measurements

Calibration of a portable interferometer for fiber optic connector endface measurements Calibration of a portable interferometer for fiber optic connector endface measurements E. Lindmark Ph.D Light Source Reference Mirror Beamsplitter Camera Calibrated parameters Interferometer Interferometer

More information

MICHELSON S INTERFEROMETER

MICHELSON S INTERFEROMETER MICHELSON S INTERFEROMETER Objectives: 1. Alignment of Michelson s Interferometer using He-Ne laser to observe concentric circular fringes 2. Measurement of the wavelength of He-Ne Laser and Na lamp using

More information

Michelson Interferometer

Michelson Interferometer Michelson Interferometer The Michelson interferometer uses the interference of two reflected waves The third, beamsplitting, mirror is partially reflecting ( half silvered, except it s a thin Aluminum

More information

College Physics 150. Chapter 25 Interference and Diffraction

College Physics 150. Chapter 25 Interference and Diffraction College Physics 50 Chapter 5 Interference and Diffraction Constructive and Destructive Interference The Michelson Interferometer Thin Films Young s Double Slit Experiment Gratings Diffraction Resolution

More information

Chapter 38. Diffraction Patterns and Polarization

Chapter 38. Diffraction Patterns and Polarization Chapter 38 Diffraction Patterns and Polarization Diffraction Light of wavelength comparable to or larger than the width of a slit spreads out in all forward directions upon passing through the slit This

More information

Chapter 37. Wave Optics

Chapter 37. Wave Optics Chapter 37 Wave Optics Wave Optics Wave optics is a study concerned with phenomena that cannot be adequately explained by geometric (ray) optics. Sometimes called physical optics These phenomena include:

More information

Single Photon Interference

Single Photon Interference December 19, 2006 D. Lancia P. McCarthy Classical Interference Intensity Distribution Overview Quantum Mechanical Interference Probability Distribution Which Path? The Effects of Making a Measurement Wave-Particle

More information

Chapter 82 Example and Supplementary Problems

Chapter 82 Example and Supplementary Problems Chapter 82 Example and Supplementary Problems Nature of Polarized Light: 1) A partially polarized beam is composed of 2.5W/m 2 of polarized and 4.0W/m 2 of unpolarized light. Determine the degree of polarization

More information

Chapter 37. Interference of Light Waves

Chapter 37. Interference of Light Waves Chapter 37 Interference of Light Waves Wave Optics Wave optics is a study concerned with phenomena that cannot be adequately explained by geometric (ray) optics These phenomena include: Interference Diffraction

More information

Draft SPOTS Standard Part III (7)

Draft SPOTS Standard Part III (7) SPOTS Good Practice Guide to Electronic Speckle Pattern Interferometry for Displacement / Strain Analysis Draft SPOTS Standard Part III (7) CALIBRATION AND ASSESSMENT OF OPTICAL STRAIN MEASUREMENTS Good

More information

INTERFERENCE. where, m = 0, 1, 2,... (1.2) otherwise, if it is half integral multiple of wavelength, the interference would be destructive.

INTERFERENCE. where, m = 0, 1, 2,... (1.2) otherwise, if it is half integral multiple of wavelength, the interference would be destructive. 1.1 INTERFERENCE When two (or more than two) waves of the same frequency travel almost in the same direction and have a phase difference that remains constant with time, the resultant intensity of light

More information

Chapter 36. Diffraction. Dr. Armen Kocharian

Chapter 36. Diffraction. Dr. Armen Kocharian Chapter 36 Diffraction Dr. Armen Kocharian Diffraction Light of wavelength comparable to or larger than the width of a slit spreads out in all forward directions upon passing through the slit This phenomena

More information

STEP-BY-STEP INSTRUCTIONS FOR BUILDING A MICHELSON INTERFEROMETER. TECHSPEC Optical Cage System

STEP-BY-STEP INSTRUCTIONS FOR BUILDING A MICHELSON INTERFEROMETER. TECHSPEC Optical Cage System STEP-BY-STEP INSTRUCTIONS FOR BUILDING A MICHELSON INTERFEROMETER TECHSPEC Optical Cage System INTRODUCTION 2 What is a Michelson Interferometer? A Michelson Interferometer is a simple interferometric

More information

Lecture 39. Chapter 37 Diffraction

Lecture 39. Chapter 37 Diffraction Lecture 39 Chapter 37 Diffraction Interference Review Combining waves from small number of coherent sources double-slit experiment with slit width much smaller than wavelength of the light Diffraction

More information

dq dt I = Irradiance or Light Intensity is Flux Φ per area A (W/m 2 ) Φ =

dq dt I = Irradiance or Light Intensity is Flux Φ per area A (W/m 2 ) Φ = Radiometry (From Intro to Optics, Pedrotti -4) Radiometry is measurement of Emag radiation (light) Consider a small spherical source Total energy radiating from the body over some time is Q total Radiant

More information

Optics Vac Work MT 2008

Optics Vac Work MT 2008 Optics Vac Work MT 2008 1. Explain what is meant by the Fraunhofer condition for diffraction. [4] An aperture lies in the plane z = 0 and has amplitude transmission function T(y) independent of x. It is

More information

SIMULATION AND VISUALIZATION IN THE EDUCATION OF COHERENT OPTICS

SIMULATION AND VISUALIZATION IN THE EDUCATION OF COHERENT OPTICS SIMULATION AND VISUALIZATION IN THE EDUCATION OF COHERENT OPTICS J. KORNIS, P. PACHER Department of Physics Technical University of Budapest H-1111 Budafoki út 8., Hungary e-mail: kornis@phy.bme.hu, pacher@phy.bme.hu

More information

PHYSICS. Chapter 33 Lecture FOR SCIENTISTS AND ENGINEERS A STRATEGIC APPROACH 4/E RANDALL D. KNIGHT

PHYSICS. Chapter 33 Lecture FOR SCIENTISTS AND ENGINEERS A STRATEGIC APPROACH 4/E RANDALL D. KNIGHT PHYSICS FOR SCIENTISTS AND ENGINEERS A STRATEGIC APPROACH 4/E Chapter 33 Lecture RANDALL D. KNIGHT Chapter 33 Wave Optics IN THIS CHAPTER, you will learn about and apply the wave model of light. Slide

More information

DETECTION AND QUANTIFICATION OF CRACKS IN PRESSURE VESSELS USING ESPI AND FEA MODELLS

DETECTION AND QUANTIFICATION OF CRACKS IN PRESSURE VESSELS USING ESPI AND FEA MODELLS DETECTION AND QUANTIFICATION OF CRACKS IN PRESSURE VESSELS USING ESPI AND FEA MODELLS J GRYZAGORIDIS, DM FINDEIS, JR MYLES Department of Mechanical Engineering University of Cape Town Abstract Non destructive

More information

Physics 2c Lecture 25. Chapter 37 Interference & Diffraction

Physics 2c Lecture 25. Chapter 37 Interference & Diffraction Physics 2c Lecture 25 Chapter 37 Interference & Diffraction Outlook for rest of quarter Today: finish chapter 37 Tomorrow & Friday: E&M waves (Chapter 34) Next Monday, June 4 th : Quiz 8 on Chapter 37

More information

d has a relationship with ψ

d has a relationship with ψ Principle of X-Ray Stress Analysis Metallic materials consist of innumerable crystal grains. Each grain usually faces in a random direction. When stress is applied on such materials, the interatomic distance

More information

Chapter 36. Diffraction. Copyright 2014 John Wiley & Sons, Inc. All rights reserved.

Chapter 36. Diffraction. Copyright 2014 John Wiley & Sons, Inc. All rights reserved. Chapter 36 Diffraction Copyright 36-1 Single-Slit Diffraction Learning Objectives 36.01 Describe the diffraction of light waves by a narrow opening and an edge, and also describe the resulting interference

More information

Downloaded from UNIT 06 Optics

Downloaded from   UNIT 06 Optics 1 Mark UNIT 06 Optics Q1: A partially plane polarised beam of light is passed through a polaroid. Show graphically the variation of the transmitted light intensity with angle of rotation of the Polaroid.

More information

Lab 5: Diffraction and Interference

Lab 5: Diffraction and Interference Lab 5: Diffraction and Interference Light is a wave, an electromagnetic wave, and under the proper circumstances, it exhibits wave phenomena, such as constructive and destructive interference. The wavelength

More information

Interference of Light

Interference of Light Interference of Light Review: Principle of Superposition When two or more waves interact they interfere. Wave interference is governed by the principle of superposition. The superposition principle says

More information

Intermediate Physics PHYS102

Intermediate Physics PHYS102 Intermediate Physics PHYS102 Dr Richard H. Cyburt Assistant Professor of Physics My office: 402c in the Science Building My phone: (304) 384-6006 My email: rcyburt@concord.edu My webpage: www.concord.edu/rcyburt

More information

Wave Optics. April 11, 2014 Chapter 34 1

Wave Optics. April 11, 2014 Chapter 34 1 Wave Optics April 11, 2014 Chapter 34 1 Announcements! Exam tomorrow! We/Thu: Relativity! Last week: Review of entire course, no exam! Final exam Wednesday, April 30, 8-10 PM Location: WH B115 (Wells Hall)

More information

specular diffuse reflection.

specular diffuse reflection. Lesson 8 Light and Optics The Nature of Light Properties of Light: Reflection Refraction Interference Diffraction Polarization Dispersion and Prisms Total Internal Reflection Huygens s Principle The Nature

More information

dq dt I = Irradiance or Light Intensity is Flux Φ per area A (W/m 2 ) Φ =

dq dt I = Irradiance or Light Intensity is Flux Φ per area A (W/m 2 ) Φ = Radiometry (From Intro to Optics, Pedrotti -4) Radiometry is measurement of Emag radiation (light) Consider a small spherical source Total energy radiating from the body over some time is Q total Radiant

More information

Analysis of Cornell Electron-Positron Storage Ring Test Accelerator's Double Slit Visual Beam Size Monitor

Analysis of Cornell Electron-Positron Storage Ring Test Accelerator's Double Slit Visual Beam Size Monitor Analysis of Cornell Electron-Positron Storage Ring Test Accelerator's Double Slit Visual Beam Size Monitor Senior Project Department of Physics California Polytechnic State University San Luis Obispo By:

More information

Tutorial Solutions. 10 Holographic Applications Holographic Zone-Plate

Tutorial Solutions. 10 Holographic Applications Holographic Zone-Plate 10 Holographic Applications 10.1 Holographic Zone-Plate Tutorial Solutions Show that if the intensity pattern for on on-axis holographic lens is recorded in lithographic film, then a one-plate results.

More information

Chapter 2: Wave Optics

Chapter 2: Wave Optics Chapter : Wave Optics P-1. We can write a plane wave with the z axis taken in the direction of the wave vector k as u(,) r t Acos tkzarg( A) As c /, T 1/ and k / we can rewrite the plane wave as t z u(,)

More information

PHYSICS 1040L LAB LAB 7: DIFFRACTION & INTERFERENCE

PHYSICS 1040L LAB LAB 7: DIFFRACTION & INTERFERENCE PHYSICS 1040L LAB LAB 7: DIFFRACTION & INTERFERENCE Object: To investigate the diffraction and interference of light, Apparatus: Lasers, optical bench, single and double slits. screen and mounts. Theory:

More information

Chapter 24. Wave Optics

Chapter 24. Wave Optics Chapter 24 Wave Optics Diffraction Huygen s principle requires that the waves spread out after they pass through slits This spreading out of light from its initial line of travel is called diffraction

More information

Eric Lindmark, Ph.D.

Eric Lindmark, Ph.D. Theory and Practical Application Written by: Eric Lindmark, Ph.D. v061608 4611 Chatsworth Street Shoreview, Minnesota, 55126-5813, USA www.promet.net Introduction In theory, higher bit rate fiber optic

More information

Chapter 24. Wave Optics. Wave Optics. The wave nature of light is needed to explain various phenomena

Chapter 24. Wave Optics. Wave Optics. The wave nature of light is needed to explain various phenomena Chapter 24 Wave Optics Wave Optics The wave nature of light is needed to explain various phenomena Interference Diffraction Polarization The particle nature of light was the basis for ray (geometric) optics

More information

Physics 214 Midterm Fall 2003 Form A

Physics 214 Midterm Fall 2003 Form A 1. A ray of light is incident at the center of the flat circular surface of a hemispherical glass object as shown in the figure. The refracted ray A. emerges from the glass bent at an angle θ 2 with respect

More information

Chapter 38 Wave Optics (II)

Chapter 38 Wave Optics (II) Chapter 38 Wave Optics (II) Initiation: Young s ideas on light were daring and imaginative, but he did not provide rigorous mathematical theory and, more importantly, he is arrogant. Progress: Fresnel,

More information

Chapter 24. Wave Optics

Chapter 24. Wave Optics Chapter 24 Wave Optics Wave Optics The wave nature of light is needed to explain various phenomena Interference Diffraction Polarization The particle nature of light was the basis for ray (geometric) optics

More information

Physics 1C, Summer 2011 (Session 1) Practice Midterm 2 (50+4 points) Solutions

Physics 1C, Summer 2011 (Session 1) Practice Midterm 2 (50+4 points) Solutions Physics 1C, Summer 2011 (Session 1) Practice Midterm 2 (50+4 points) s Problem 1 (5x2 = 10 points) Label the following statements as True or False, with a one- or two-sentence explanation for why you chose

More information

Single slit diffraction

Single slit diffraction Single slit diffraction Book page 364-367 Review double slit Core Assume paths of the two rays are parallel This is a good assumption if D >>> d PD = R 2 R 1 = dsin θ since sin θ = PD d Constructive interference

More information

Chapter 8: Physical Optics

Chapter 8: Physical Optics Chapter 8: Physical Optics Whether light is a particle or a wave had puzzled physicists for centuries. In this chapter, we only analyze light as a wave using basic optical concepts such as interference

More information

INTERFERENCE. (i) When the film is quite thin as compared to the wavelength of light,

INTERFERENCE. (i) When the film is quite thin as compared to the wavelength of light, (a) Reflected System: For the thin film in air the ray BG suffers reflection at air medium (rare to denser) boundary, it undergoes a phase change of π and a path change of λ/2, while the ray DF does not,

More information

UNIT VI OPTICS ALL THE POSSIBLE FORMULAE

UNIT VI OPTICS ALL THE POSSIBLE FORMULAE 58 UNIT VI OPTICS ALL THE POSSIBLE FORMULAE Relation between focal length and radius of curvature of a mirror/lens, f = R/2 Mirror formula: Magnification produced by a mirror: m = - = - Snell s law: 1

More information

Spectrographs. C. A. Griffith, Class Notes, PTYS 521, 2016 Not for distribution.

Spectrographs. C. A. Griffith, Class Notes, PTYS 521, 2016 Not for distribution. Spectrographs C A Griffith, Class Notes, PTYS 521, 2016 Not for distribution 1 Spectrographs and their characteristics A spectrograph is an instrument that disperses light into a frequency spectrum, which

More information

Experiment 8 Wave Optics

Experiment 8 Wave Optics Physics 263 Experiment 8 Wave Optics In this laboratory, we will perform two experiments on wave optics. 1 Double Slit Interference In two-slit interference, light falls on an opaque screen with two closely

More information

Chapter 24. Wave Optics. Wave Optics. The wave nature of light is needed to explain various phenomena

Chapter 24. Wave Optics. Wave Optics. The wave nature of light is needed to explain various phenomena Chapter 24 Wave Optics Wave Optics The wave nature of light is needed to explain various phenomena Interference Diffraction Polarization The particle nature of light was the basis for ray (geometric) optics

More information

A RADIAL WHITE LIGHT INTERFEROMETER FOR MEASUREMENT OF CYLINDRICAL GEOMETRIES

A RADIAL WHITE LIGHT INTERFEROMETER FOR MEASUREMENT OF CYLINDRICAL GEOMETRIES A RADIAL WHITE LIGHT INTERFEROMETER FOR MEASUREMENT OF CYLINDRICAL GEOMETRIES Andre R. Sousa 1 ; Armando Albertazzi 2 ; Alex Dal Pont 3 CEFET/SC Federal Center for Technological Education of Sta. Catarina

More information

Physical optics. Introduction. University of Ottawa Department of Physics

Physical optics. Introduction. University of Ottawa Department of Physics Physical optics Introduction The true nature of light has been, and continues to be, an alluring subject in physics. While predictions of light behaviour can be made with great success and precision, the

More information

College Physics B - PHY2054C

College Physics B - PHY2054C Young College - PHY2054C Wave Optics: 10/29/2014 My Office Hours: Tuesday 10:00 AM - Noon 206 Keen Building Outline Young 1 2 3 Young 4 5 Assume a thin soap film rests on a flat glass surface. Young Young

More information

Physics 202 Homework 9

Physics 202 Homework 9 Physics 202 Homework 9 May 29, 2013 1. A sheet that is made of plastic (n = 1.60) covers one slit of a double slit 488 nm (see Figure 1). When the double slit is illuminated by monochromatic light (wavelength

More information

Fresnel's biprism and mirrors

Fresnel's biprism and mirrors Fresnel's biprism and mirrors 1 Table of Contents Section Page Back ground... 3 Basic Experiments Experiment 1: Fresnel's mirrors... 4 Experiment 2: Fresnel's biprism... 7 2 Back ground Interference of

More information

Diffraction and Interference

Diffraction and Interference Diffraction and Interference Kyle Weigand, Mark Hillstrom Abstract: We measure the patterns produced by a CW laser near 650 nm passing through one and two slit apertures with a detector mounted on a linear

More information

Physical Optics. 1 st year physics laboratories. University of Ottawa.

Physical Optics. 1 st year physics laboratories. University of Ottawa. Physical Optics 1 st year physics laboratories University of Ottawa https://uottawa.brightspace.com/d2l/home INTRODUCTION Physical optics deals with light as a wave which can bend around obstacles (diffraction)

More information

Formulas of possible interest

Formulas of possible interest Name: PHYS 3410/6750: Modern Optics Final Exam Thursday 15 December 2011 Prof. Bolton No books, calculators, notes, etc. Formulas of possible interest I = ɛ 0 c E 2 T = 1 2 ɛ 0cE 2 0 E γ = hν γ n = c/v

More information

PY212 Lecture 25. Prof. Tulika Bose 12/3/09. Interference and Diffraction. Fun Link: Diffraction with Ace Ventura

PY212 Lecture 25. Prof. Tulika Bose 12/3/09. Interference and Diffraction. Fun Link: Diffraction with Ace Ventura PY212 Lecture 25 Interference and Diffraction Prof. Tulika Bose 12/3/09 Fun Link: Diffraction with Ace Ventura Summary from last time The wave theory of light is strengthened by the interference and diffraction

More information

Lecture 4 Recap of PHYS110-1 lecture Physical Optics - 4 lectures EM spectrum and colour Light sources Interference and diffraction Polarization

Lecture 4 Recap of PHYS110-1 lecture Physical Optics - 4 lectures EM spectrum and colour Light sources Interference and diffraction Polarization Lecture 4 Recap of PHYS110-1 lecture Physical Optics - 4 lectures EM spectrum and colour Light sources Interference and diffraction Polarization Lens Aberrations - 3 lectures Spherical aberrations Coma,

More information

CHAPTER 26 INTERFERENCE AND DIFFRACTION

CHAPTER 26 INTERFERENCE AND DIFFRACTION CHAPTER 26 INTERFERENCE AND DIFFRACTION INTERFERENCE CONSTRUCTIVE DESTRUCTIVE YOUNG S EXPERIMENT THIN FILMS NEWTON S RINGS DIFFRACTION SINGLE SLIT MULTIPLE SLITS RESOLVING POWER 1 IN PHASE 180 0 OUT OF

More information

Physics 1CL WAVE OPTICS: INTERFERENCE AND DIFFRACTION Fall 2009

Physics 1CL WAVE OPTICS: INTERFERENCE AND DIFFRACTION Fall 2009 Introduction An important property of waves is interference. You are familiar with some simple examples of interference of sound waves. This interference effect produces positions having large amplitude

More information

4D Technology Corporation

4D Technology Corporation 4D Technology Corporation Dynamic Laser Interferometry for Company Profile Disk Shape Characterization DiskCon Asia-Pacific 2006 Chip Ragan chip.ragan@4dtechnology.com www.4dtechnology.com Interferometry

More information

OPSE FINAL EXAM Fall CLOSED BOOK. Two pages (front/back of both pages) of equations are allowed.

OPSE FINAL EXAM Fall CLOSED BOOK. Two pages (front/back of both pages) of equations are allowed. CLOSED BOOK. Two pages (front/back of both pages) of equations are allowed. YOU MUST SHOW YOUR WORK. ANSWERS THAT ARE NOT JUSTIFIED WILL BE GIVEN ZERO CREDIT. ALL NUMERICAL ANSERS MUST HAVE UNITS INDICATED.

More information

Lecture Wave Optics. Physics Help Q&A: tutor.leiacademy.org

Lecture Wave Optics. Physics Help Q&A: tutor.leiacademy.org Lecture 1202 Wave Optics Physics Help Q&A: tutor.leiacademy.org Total Internal Reflection A phenomenon called total internal reflectioncan occur when light is directed from a medium having a given index

More information

Waves & Oscillations

Waves & Oscillations Physics 42200 Waves & Oscillations Lecture 41 Review Spring 2016 Semester Matthew Jones Final Exam Date:Tuesday, May 3 th Time:7:00 to 9:00 pm Room: Phys 112 You can bring one double-sided pages of notes/formulas.

More information

Past Paper Questions Waves

Past Paper Questions Waves Past Paper Questions Waves Name 1. Explain the differences between an undamped progressive transverse wave and a stationary transverse wave, in terms of amplitude, (ii) phase and (iii) energy transfer.

More information

PHYS 3410/6750: Modern Optics Midterm #2

PHYS 3410/6750: Modern Optics Midterm #2 Name: PHYS 3410/6750: Modern Optics Midterm #2 Wednesday 16 November 2011 Prof. Bolton Only pen or pencil are allowed. No calculators or additional materials. PHYS 3410/6750 Fall 2011 Midterm #2 2 Problem

More information

Wave Optics. April 9, 2014 Chapter 34 1

Wave Optics. April 9, 2014 Chapter 34 1 Wave Optics April 9, 2014 Chapter 34 1 Announcements! Remainder of this week: Wave Optics! Next week: Last of biweekly exams, then relativity! Last week: Review of entire course, no exam! Final exam Wednesday,

More information

Fiber Probe with Interferometric Z-Measurement

Fiber Probe with Interferometric Z-Measurement Fiber Probe with Interferometric Z-Measurement Sabine Linz, Alexander Schöch, Carlo Bach, Andreas Ettemeyer, Buchs, Switzerland, Benjamin Hopp, Matthias Andräs, Giessen Abstract Increasing manufacturing

More information

Defining Cutting Edge Quality. Laser Cutting Head BIMO-FSC BIMO-FSC

Defining Cutting Edge Quality. Laser Cutting Head BIMO-FSC BIMO-FSC Defining Cutting Edge Quality Laser Cutting Head BIMO-FSC BIMO-FSC Laser Cutting Head BIMO-FSC for Flat Sheet Laser Cutting Until recently, fibre disc and diode lasers have been playing a minor role in

More information

light Chapter Type equation here. Important long questions

light Chapter Type equation here. Important long questions Type equation here. Light Chapter 9 Important long questions Q.9.1 Describe Young s double slit experiment for the demonstration of interference of. Derive an expression for fringe spacing? Ans. Young

More information

Holography & Coherence For Holography need coherent beams Two waves coherent if fixed phase relationship between them for some period of time

Holography & Coherence For Holography need coherent beams Two waves coherent if fixed phase relationship between them for some period of time Holography & Coherence For Holography need coherent beams Two waves coherent if fixed phase relationship between them for some period of time Coherence Coherence appear in two ways Spatial Coherence Waves

More information

Winter College on Optics in Environmental Science February Adaptive Optics: Introduction, and Wavefront Correction

Winter College on Optics in Environmental Science February Adaptive Optics: Introduction, and Wavefront Correction 2018-23 Winter College on Optics in Environmental Science 2-18 February 2009 Adaptive Optics: Introduction, and Wavefront Correction Love G. University of Durham U.K. Adaptive Optics: Gordon D. Love Durham

More information

Novel Magnetic Field Mapping Technology for Small and Closed Aperture Undulators

Novel Magnetic Field Mapping Technology for Small and Closed Aperture Undulators Novel Magnetic Field Mapping Technology for Small and Closed Aperture Undulators Erik Wallen and Hyun-Wook Kim 06.06.2017 Outline Introduction - Measurement systems at LBNL - Activities at LBNL - Need

More information

Two slit interference - Prelab questions

Two slit interference - Prelab questions Two slit interference - Prelab questions 1. Show that the intensity distribution given in equation 3 leads to bright and dark fringes at y = mλd/a and y = (m + 1/2) λd/a respectively, where m is an integer.

More information

The location of the bright fringes can be found using the following equation.

The location of the bright fringes can be found using the following equation. What You Need to Know: In the past two labs we ve been thinking of light as a particle that reflects off of a surface or refracts into a medium. Now we are going to talk about light as a wave. If you take

More information

DC - Devices and Controller

DC - Devices and Controller 123 DC - Devices and Controller 1 DC-0010 Diode laser controller MK1-HP The diode laser module is connected via the 15 pin HD SubD jacket at the rear of the controller. The controller reads the EEPROM

More information

attocube systems Ultra Compact Positioners for Extreme Environments 14 days delivery

attocube systems Ultra Compact Positioners for Extreme Environments 14 days delivery PAGE 96 & 2008 2007 PRODUCT CATALOG Introduction Nanopositioning......... 98 why are attocube nanopositioners unique 14 Days Delivery................... 100 available for positioners with standard configuration

More information

Models of Light The wave model: The ray model: The photon model:

Models of Light The wave model: The ray model: The photon model: Models of Light The wave model: under many circumstances, light exhibits the same behavior as sound or water waves. The study of light as a wave is called wave optics. The ray model: The properties of

More information

Optical Ptychography Imaging

Optical Ptychography Imaging Optical Ptychography Imaging Summer Project Annafee Azad Supervisors: Dr Fucai Zhang Prof Ian Robinson Summer 2014 23 October 2014 Optical Ptychography Imaging P a g e 2 Abstract This report details a

More information

UNIT 102-9: INTERFERENCE AND DIFFRACTION

UNIT 102-9: INTERFERENCE AND DIFFRACTION Name St.No. - Date(YY/MM/DD) / / Section Group # UNIT 102-9: INTERFERENCE AND DIFFRACTION Patterns created by interference of light in a thin film. OBJECTIVES 1. Understand the creation of double-slit

More information

About the Final Exam(1)

About the Final Exam(1) About the Final Exam(1) The exam will be on 7:45-9:45am, Wednesday, Dec 22 in: 2103 Chamberlin, and 810 Ingraham (Allocation to be announced) It will be exactly 120 minutes. Distribution of tests starts

More information

Reflections from a thin film

Reflections from a thin film Reflections from a thin film l Part of the wave reflects from the top surface and part from the bottom surface l The part that reflects from the top surface has a 180 o phase change while the part that

More information

Fourier Transform Imaging Spectrometer at Visible Wavelengths

Fourier Transform Imaging Spectrometer at Visible Wavelengths Fourier Transform Imaging Spectrometer at Visible Wavelengths Noah R. Block Advisor: Dr. Roger Easton Chester F. Carlson Center for Imaging Science Rochester Institute of Technology May 20, 2002 1 Abstract

More information

Chapter 25. Wave Optics

Chapter 25. Wave Optics Chapter 25 Wave Optics Interference Light waves interfere with each other much like mechanical waves do All interference associated with light waves arises when the electromagnetic fields that constitute

More information

MEMS SENSOR FOR MEMS METROLOGY

MEMS SENSOR FOR MEMS METROLOGY MEMS SENSOR FOR MEMS METROLOGY IAB Presentation Byungki Kim, H Ali Razavi, F. Levent Degertekin, Thomas R. Kurfess 9/24/24 OUTLINE INTRODUCTION Motivation Contact/Noncontact measurement Optical interferometer

More information

COMPARISON OF TWO INSTRUMENT DESIGNS FOR NON-CONTACT MEASUREMENT OF GOSSAMER MIRRORS

COMPARISON OF TWO INSTRUMENT DESIGNS FOR NON-CONTACT MEASUREMENT OF GOSSAMER MIRRORS COMPARISON OF TWO INSTRUMENT DESIGNS FOR NON-CONTACT MEASUREMENT OF GOSSAMER MIRRORS Phil Smith and R. Ryan Vallance Precision Systems Laboratory, University of Kentucky * Abstract Lightweight, large format

More information

Physics 309 Lab 3. where the small angle approximation has been used. This pattern has maxima at. Y Max. n L /d (2)

Physics 309 Lab 3. where the small angle approximation has been used. This pattern has maxima at. Y Max. n L /d (2) Physics 309 Lab 3 Introduction This will be a lab whose purpose is to give you some hands-on experience with optical interference and diffraction, using small green diode lasers as the light sources. Each

More information

LECTURE 14 PHASORS & GRATINGS. Instructor: Kazumi Tolich

LECTURE 14 PHASORS & GRATINGS. Instructor: Kazumi Tolich LECTURE 14 PHASORS & GRATINGS Instructor: Kazumi Tolich Lecture 14 2 Reading chapter 33-5 & 33-8 Phasors n Addition of two harmonic waves n Interference pattern from multiple sources n Single slit diffraction

More information

Minimizing Noise and Bias in 3D DIC. Correlated Solutions, Inc.

Minimizing Noise and Bias in 3D DIC. Correlated Solutions, Inc. Minimizing Noise and Bias in 3D DIC Correlated Solutions, Inc. Overview Overview of Noise and Bias Digital Image Correlation Background/Tracking Function Minimizing Noise Focus Contrast/Lighting Glare

More information

Inspection of Laser Generated Lamb Waves using Shearographic Interferometry

Inspection of Laser Generated Lamb Waves using Shearographic Interferometry 1st International Symposium on Laser Ultrasonics: Science, Technology and Applications July 16-18 28, Montreal, Canada Inspection of Laser Generated Lamb Waves using Shearographic Interferometry Oliver

More information

Physics Midterm I

Physics Midterm I Phys121 - February 6, 2009 1 Physics 121 - Midterm I Last Name First Name Student Number Signature Tutorial T.A. (circle one): Ricky Chu Firuz Demir Maysam Emadi Alireza Jojjati Answer ALL 10 questions.

More information

AP* Optics Free Response Questions

AP* Optics Free Response Questions AP* Optics Free Response Questions 1978 Q5 MIRRORS An object 6 centimeters high is placed 30 centimeters from a concave mirror of focal length 10 centimeters as shown above. (a) On the diagram above, locate

More information

4D IMAGING AT YOUR FINGERTIPS Real-time, Portable, High-Resolution Solutions for your Quality Control Needs

4D IMAGING AT YOUR FINGERTIPS Real-time, Portable, High-Resolution Solutions for your Quality Control Needs STDO Dynamic 3D 4D Imaging Microscopy Instrument Systems 4D IMAGING AT YOUR FINGERTIPS Real-time, Portable, High-Resolution Solutions for your Quality Control Needs STDO-HOLO Overview: STDO-HOLO enables

More information

Waves & Oscillations

Waves & Oscillations Physics 42200 Waves & Oscillations Lecture 42 Review Spring 2013 Semester Matthew Jones Final Exam Date:Tuesday, April 30 th Time:1:00 to 3:00 pm Room: Phys 112 You can bring two double-sided pages of

More information

Physical Optics. You can observe a lot just by watching. Yogi Berra ( )

Physical Optics. You can observe a lot just by watching. Yogi Berra ( ) Physical Optics You can observe a lot just by watching. Yogi Berra (1925-2015) OBJECTIVES To observe some interference and diffraction phenomena with visible light. THEORY In a previous experiment you

More information

Interference with polarized light

Interference with polarized light Interference with polarized light Summary of the previous lecture (see lecture 3 - slides 12 to 25) With polarized light E 1 et E 2 are complex amplitudes: E 1 + E 2 e iϕ 2 = E 1 2 + E 2 2 + 2 Re(E 1 *

More information

Lab2: Single Photon Interference

Lab2: Single Photon Interference Lab2: Single Photon Interference Xiaoshu Chen* Department of Mechanical Engineering, University of Rochester, NY, 14623 ABSTRACT The wave-particle duality of light was verified by multi and single photon

More information

Physical Optics FOREWORD

Physical Optics FOREWORD Physical Optics 3L Object: Apparatus: To study the intensity patterns formed by single and double slits and by diffraction gratings. Diode laser, single slit, double slit, diffraction grating, aperture,

More information

Chapter 35 &36 Physical Optics

Chapter 35 &36 Physical Optics Chapter 35 &36 Physical Optics Physical Optics Phase Difference & Coherence Thin Film Interference 2-Slit Interference Single Slit Interference Diffraction Patterns Diffraction Grating Diffraction & Resolution

More information

LECTURE 12 INTERFERENCE OF LIGHT. Instructor: Kazumi Tolich

LECTURE 12 INTERFERENCE OF LIGHT. Instructor: Kazumi Tolich LECTURE 12 INTERFERENCE OF LIGHT Instructor: Kazumi Tolich Lecture 12 2 17.2 The interference of light Young s double-slit experiment Analyzing double-slit interference 17.3 The diffraction grating Spectroscopy

More information

What is Frequency Domain Analysis?

What is Frequency Domain Analysis? R&D Technical Bulletin P. de Groot 9/3/93 What is Frequency Domain Analysis? Abstract: The Zygo NewView is a scanning white-light interferometer that uses frequency domain analysis (FDA) to generate quantitative

More information