Edward S. Rogers Sr. Department of Electrical and Computer Engineering. ECE318S Fundamentals of Optics. Final Exam. April 16, 2007.
|
|
- Geoffrey Paul Watkins
- 5 years ago
- Views:
Transcription
1 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 calculator) Exam Duration: 2 ½ hours Marks: Q1 Q2 Q3 Q4 Total Note: (1) Follow the sign conventions established in the lectures given this year. (2) Unless explicitly required in the question, explanations to your answers are optional. However, partial marks will be awarded for incorrect or incomplete answers when accompanied by correct and relevant explanations. Conversely, marks will be deducted accordingly if a wrong explanation accompanies a correct answer.
2 ECE318S Fundamentals of Optics Final Exam Page 2 of 19 Q1 Answer the following short questions: (a) Match the apertures on the left with their far-field diffraction patterns on the right by linking each pair with a line. Fig. 1-1 Apertures and far-field diffraction patterns.
3 ECE318S Fundamentals of Optics Final Exam Page 3 of 19 (b) A plane wave propagating in vacuum is expressed by its E field as: iφ E r = [ Eyoyˆ + Ezoe zˆ ] exp[ i( kx + ωt)] V/m. Write down the expression for the accompanying H field and its unit. (Do not introduce new symbols other than physical constants.) (c) For the plane wave given in (b), write down the expression for the Poynting vector and its unit. (Write down the final expression, not as a vector operation.) (d) Consider a TM plane wave incident on a dielectric boundary formed by two lossless media of refractive indices n 1 and n 2 (Fig. 1-2). r and t are the Fresnel reflection and transmission coefficients, respectively; R and T are the reflectance and transmittance, respectively; 1 2 means light is incident from n 1, while 2 1 means the opposite. Indicate whether the following relations are true or false: θ 1 θ 1 n 1 n 2 θ 2 n 1 n 2 θ 2 Fig. 1-2 Reflection and refraction on a dielectric boundary. (d.1) r 1 2 = r 2 1 True/False (0.5 mark) (d.2) t 1 2 = t 2 1 True/False (0.5 mark) (d.3) T 1 2 = T 2 1 True/False (0.5 mark) (d.4) (t 1 2 )(t 2 1) (r 1 2 )(r 2 1 ) = 1 True/False (0.5 mark) (d.5) T 1 2 = (t 1 2 ) 2 True/False (0.5 mark) (d.6) R 1 2 = (r 1 2 ) 2 True/False (0.5 mark)
4 ECE318S Fundamentals of Optics Final Exam Page 4 of 19 (e) A pulse with a central frequency ω o is travelling in a medium that has a dispersion relationship as shown in Fig Does the pulse envelope travel faster or slower than its phase? Briefly explain your answer by graphically indicating the group and phase velocities on the plot. ω ω ο 0 0 k ο Fig. 1-3 k (f) Suppose you are buying a new LCD TV for your living room. The sofa, in which you always sit to watch TV, is 5 meters away from the TV. Since the TV s pixel resolution need not be higher than what your eyes can resolve, estimate the pixel resolution (i.e., number of pixels per inch) that suits you. State any assumptions you make in your estimation. (4 marks)
5 ECE318S Fundamentals of Optics Final Exam Page 5 of 19 (g) Answer the questions regarding the double refraction phenomenon seen in Fig Fig. 1-4 Two pencil images made by a calcite crystal (negative uniaxial). The arrow indicates the direction of image shift. (g.1) For normal incidence at the air-to-calcite interface, graphically find the transmitted k TM and k TE vectors, as well as the direction of the associated Poynting vectors, Ŝ TM and Ŝ TE. Indicate them on Fig calcite air k i Fig 1-5 Air-to-calcite interface. The lines indicate the optical axis of calcite. (g.2) At the calcite-to-air interface, given the transmitted k vector (Fig. 1-6), graphically find the incident k TM and k TE vectors, and the direction of the associated Poynting vectors, Ŝ TM and Ŝ TE. Indicate them on Fig. 1-6 and separate TE and TM polarizations for clarity. (4 marks) air k t air k t calcite calcite Fig 1-6 Calcite-to-air interface. The lines indicate the optical axis of calcite. (g.3) A polarizing sheet is placed on the calcite to remove the lower pencil image shown in Fig Indicate on Fig. 1-4 the transmission axis of the polarizer.
6 ECE318S Fundamentals of Optics Final Exam Page 6 of 19 (h) Answer the questions regarding the 4-f system (Fig. 1-7) used for image processing. The original picture and two spatial filters used to process the image are given in Fig Laser f f f f f S 1 S 2 S 3 Fig. 1-7 The 4-f optical image processing system. Original Picture Filter 1 Filter 2 Fig. 1-8 For the filters, light is blocked by the black area, and transmitted in the white area. (h.1) Indicate the locations for the original picture, the spatial filter, and the processed image. (1 mark) (h.2) Which filter is a high-pass filter? (2 mark) (h.3) There are lines and shades in the original picture. How would these features appear in the processed image if Filter 1 were used?
7 ECE318S Fundamentals of Optics Final Exam Page 7 of 19 (j) A green mercury lamp (λ 0 = 546 nm) is used in a Michelson interferometer, the same interferometer as the one used in Lab 3 (Fig. 1-9). Answer the following questions. B C D Knob 3 Knob 2 A Knob 1 Fig 1-9 Earling s Michelson interferometer. B is the mercury lamp. A and D are mirrors, and C is the housing for the beam splitter and the compensator plate. (j.1) If the fringe pattern is not centered on the viewing area, as shown in Fig. 1-10, which knob(s) should you adjust to center the fringes? Why? Fig Fringe pattern not centered on the viewing area (j.2) If the fringe pattern is centered, calculate the translation distance of mirror D in order to allow 10 new dark fringes to emerge from the center. (j.3) It is found that fringes are visible only within 1 mm of translation range of mirror D. Estimate the bandwidth of mercury emission. (4 marks)
8 ECE318S Fundamentals of Optics Final Exam Page 8 of 19 Q2. You are provided with an optical system composed of two polarizers with a rotating quarter waveplate in between as shown in Fig The transmission axes of first and last polarizers were aligned with the x- and y-axis, respectively. Answer the following questions. x y x θ x y input z output fast axis Figure 2-1: An optical system composed of two ploarizers and a quarter waveplate in between. (a) Write down the Jones matrices for the two polarizers, T 1 and T 2, in the coordinate system shown. 1 0 (b) If the Jones matrix for the quarter waveplate is when its fast axis is aligned 0 i with the x-axis, what is its Jones matrix Tqwp when the fast axis is rotated by an angle θ with respect to the x-axis, as shown? (4 marks) (c) Find the transmittance of the system as a function of θ if the input is: (c.1) x-polarized light (c.2) randomly-polarized light (d) For randomly-polarized input, if the quarter waveplate is rotating at 60 RPM (rotations per minute), plot the transmittance of the system as a function of time for at least two cycles. Label the axes and the scale. (4 marks) (4 marks)
9 ECE318S Fundamentals of Optics Final Exam Page 9 of 19
10 ECE318S Fundamentals of Optics Final Exam Page 10 of 19
11 ECE318S Fundamentals of Optics Final Exam Page 11 of 19 Q3. You are provided with a spectrometer (Fig. 3-1) to measure the wavelength separation of the sodium double line. Input Slit Lens 1 f 1 =30 cm Lens 2 f 2 =30 cm Beam splitter θ Diffraction Grating Output Slit Fig. 3-1 The internal construction of a spectrometer. The grating is mounted on a rotational stage. θ is the angle between the grating normal and the horizontal. Using your newly acquired knowledge in Optics, you estimate that the yellowish sodium emission should be within nm, and 0.1 nm resolution should be sufficient. In order to make sure the spectrometer will achieve this resolution over the specified wavelength range, answer the following questions. (a) Briefly explain how the spectrometer works and describe the function of each of its elements. (b) What is the required chromatic resolving power (R)? (c) Given a 1-cm-wide diffraction grating with 400 lines/mm, what is the minimum diffraction order you need to use? Suppose you choose to use the 5 th -order diffraction for your measurement in the given configuration (Fig.3-1), (d) What is the free spectral range you will obtain? (e) Derive the relationship between θ and the output wavelength λ. (f) Find the range of θ for the operating wavelength range of nm. (g) Derive the relationship between a small angle change ( θ) and the corresponding change in output wavelength ( λ). (h) What is the minimum beam transverse coherence length required? (i) What is the maximum input slit width? (j) What is the maximum output slit width? (4 marks) (1 mark) (1 mark) (1 mark) (4 marks)
12 ECE318S Fundamentals of Optics Final Exam Page 12 of 19
13 ECE318S Fundamentals of Optics Final Exam Page 13 of 19
14 ECE318S Fundamentals of Optics Final Exam Page 14 of 19
15 ECE318S Fundamentals of Optics Final Exam Page 15 of 19 Q4. In the following set up, a tunable Fabry-Pérot filter allows a user to add/drop any one of the 8 channels (Fig. 4-1) by tuning the angle of the device (Fig. 4-2). 100 GHz ν 1 ν 2 ν 3 ν 4 ν 5 ν 6 ν 7 ν 8 Figure 4-1 Central frequencies of the 8 channels ν (THz) Input/Output Port θ j Add/Drop Port ν 1, ν 2, ν 8 ν 1, ν 2, ν 8 d n f n=1 n=1 ν j Drop ν j Add Figure 4-2 Using angle tuning to selectively add/drop any one of the 8 channels. Using a dielectric material of refractive index n f = 2.0, design such a filter to meet the following specifications: At the Add/Drop port, the user must be able to select any one of the 8 channels and reject all the rest by tuning the device to an appropriate angle θ j (j = 1, 2,...8). θ j is defined with respect to the vertical, as shown in Fig The angle-tuning step, i.e., the angle difference between any two adjacent channels ( θ j, j+1 ) must not be less than 10-3 π (or 0.18 o ). The total tuning range, θ 8 θ 1, must be less than 0.05 π (or 9 o ). The filter s FWHM bandwidth must be greater than 10 GHz. When a given channel is selected, the filter s transmittance at all other channel frequencies must be less than (That is, channel cross-talk must be < 20dB.) You may use small angle approximation for θ. Answer the following questions: (a) What is the minimum required free spectral range of this F-P filter? (b) What is the maximum thickness of the filter, d max, for normal incidence? (c) What is the relationship between the angle θ and the frequency ν at the add/drop port? (d) For a small angle change, θ, from θ, what is the corresponding frequency change, ν, from ν? (e) If the minimum angle-tuning step is 10-3 π, what is the maximum value θ can take? Represent this value by θ max. (f) Make θ 8 = θ max and d = d max, calculate θ 1. (g) For the parameters used in (f), calculate the minimum finesse. (h) For the parameters used in (f), calculate the maximum finesse. (4 marks)
16 ECE318S Fundamentals of Optics Final Exam Page 16 of 19
17 ECE318S Fundamentals of Optics Final Exam Page 17 of 19
18 ECE318S Fundamentals of Optics Final Exam Page 18 of 19
19 ECE318S Fundamentals of Optics Final Exam Page 19 of 19
Edward S. Rogers Sr. Department of Electrical and Computer Engineering. ECE426F Optical Engineering. Final Exam. Dec. 17, 2003.
Edward S. Rogers Sr. Department of Electrical and Computer Engineering ECE426F Optical Engineering Final Exam Dec. 17, 2003 Exam Type: D (Close-book + one 2-sided aid sheet + a non-programmable calculator)
More informationPHY410 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 informationEdward S. Rogers Sr. Department of Electrical and Computer Engineering. Fundamentals of Optics. Midterm II. Mar. 21, :30 20:00.
Edward S. Rogers Sr. Department of Electrical and Computer Engineering ECE318S Fundamentals of Optics Midterm II Mar. 21, 217 18:3 2: Exam Type: C (A doublesided aid sheet and a nonprogrammable calculator
More information: Imaging Systems Laboratory II. Laboratory 6: The Polarization of Light April 16 & 18, 2002
151-232: Imaging Systems Laboratory II Laboratory 6: The Polarization of Light April 16 & 18, 22 Abstract. In this lab, we will investigate linear and circular polarization of light. Linearly polarized
More informationExperiment O-2. The Michelson Interferometer
Experiment O-2 The Michelson Interferometer The Michelson interferometer is one of the best known and historically important interferometers. It is a very accurate length-measuring device and has been
More informationTHE DIFFRACTION GRATING SPECTROMETER
Purpose Theory THE DIFFRACTION GRATING SPECTROMETER a. To study diffraction of light using a diffraction grating spectrometer b. To measure the wavelengths of certain lines in the spectrum of the mercury
More informationMASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Electrical Engineering and Computer Science
Time: March 10, 006, -3:30pm MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Electrical Engineering and Computer Science 6.097 (UG) Fundamentals of Photonics 6.974 (G) Quantum Electronics Spring 006
More informationPhys 531 Lecture 27 6 December 2005
Phys 531 Lecture 27 6 December 2005 Final Review Last time: introduction to quantum field theory Like QM, but field is quantum variable rather than x, p for particle Understand photons, noise, weird quantum
More informationPRINCIPLES 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 informationSpectroscopic 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 informationWhere 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 informationThe 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 information1. Consider the biconvex thick lens shown in the figure below, made from transparent material with index n and thickness L.
Optical Science and Engineering 2013 Advanced Optics Exam Answer all questions. Begin each question on a new blank page. Put your banner ID at the top of each page. Please staple all pages for each individual
More informationElectromagnetic fields and waves
Electromagnetic fields and waves Maxwell s rainbow Outline Maxwell s equations Plane waves Pulses and group velocity Polarization of light Transmission and reflection at an interface Macroscopic Maxwell
More informationOPSE FINAL EXAM Fall 2016 YOU MUST SHOW YOUR WORK. ANSWERS THAT ARE NOT JUSTIFIED WILL BE GIVEN ZERO CREDIT.
CLOSED BOOK. Equation Sheet is provided. YOU MUST SHOW YOUR WORK. ANSWERS THAT ARE NOT JUSTIFIED WILL BE GIVEN ZERO CREDIT. ALL NUMERICAL ANSERS MUST HAVE UNITS INDICATED. (Except dimensionless units like
More informationSome Topics in Optics
Some Topics in Optics The HeNe LASER The index of refraction and dispersion Interference The Michelson Interferometer Diffraction Wavemeter Fabry-Pérot Etalon and Interferometer The Helium Neon LASER A
More informationChap. 5. Jones Calculus and Its Application to Birefringent Optical Systems
Chap. 5. Jones Calculus and Its Application to Birefringent Optical Systems - The overall optical transmission through many optical components such as polarizers, EO modulators, filters, retardation plates.
More informationPH 222-3A Spring 2010
PH -3A Spring 010 Interference Lecture 6-7 Chapter 35 (Halliday/Resnick/Walker, Fundamentals of Physics 8 th edition) 1 Chapter 35 Interference The concept of optical interference is critical to understanding
More informationInterferometers. PART 1: Michelson Interferometer The Michelson interferometer is one of the most useful of all optical instru
Interferometers EP421 Lab Interferometers Introduction: Interferometers are the key to accurate distance measurement using optics. Historically, when mechanical measurements dominated, interferometers
More informationSeptember 14, Monday 4. Tools for Solar Observations-II
September 14, Monday 4. Tools for Solar Observations-II Spectrographs. Measurements of the line shift. Spectrograph Most solar spectrographs use reflection gratings. a(sinα+sinβ) grating constant Blazed
More informationWaves & Oscillations
Physics 42200 Waves & Oscillations Lecture 32 Electromagnetic Waves Spring 2016 Semester Matthew Jones Electromagnetism Geometric optics overlooks the wave nature of light. Light inconsistent with longitudinal
More informationChapter 2 Basic Optics
Chapter Basic Optics.1 Introduction In this chapter we will discuss the basic concepts associated with polarization, diffraction, and interference of a light wave. The concepts developed in this chapter
More informationSpeed of Light in Air
Speed of Light in Air Electromagnetic waves represent energy in the form of oscillating electric and magnetic fields which propagate through vacuum with a speed c = 2.9979246x10 8 m/s. Electromagnetic
More informationAstronomy 203 practice final examination
Astronomy 203 practice final examination Fall 1999 If this were a real, in-class examination, you would be reminded here of the exam rules, which are as follows: You may consult only one page of formulas
More informationMassachusetts Institute of Technology Physics 8.03 Practice Final Exam 3
Massachusetts Institute of Technology Physics 8.03 Practice Final Exam 3 Instructions Please write your solutions in the white booklets. We will not grade anything written on the exam copy. This exam is
More informationPhysics 214 Midterm Exam Spring Last Name: First Name NetID Discussion Section: Discussion TA Name:
Physics 214 Midterm Exam Spring 215 Last Name: First Name NetID Discussion Section: Discussion TA Name: Instructions Turn off your cell phone and put it away. Keep your calculator on your own desk. Calculators
More informationOptics.
Optics www.optics.rochester.edu/classes/opt100/opt100page.html Course outline Light is a Ray (Geometrical Optics) 1. Nature of light 2. Production and measurement of light 3. Geometrical optics 4. Matrix
More informationSpeed of Light in Glass
Experiment (1) Speed of Light in Glass Objective:- This experiment is used to determine the speed of propagation of light waves in glass. Apparatus:- Prism, spectrometer, Halogen lamp source. Theory:-
More informationFundamentals of modern optics (2017/2018 WS)
FoMO17_info_2017-10-10.docx 1 Fundamentals of modern optics (2017/2018 WS) by Prof. Thomas PERTSCH at Abbe School of Photonics, Friedrich-Schiller-Universität Jena in winter term 2017/2018 LECTURES: Monday,
More information34. 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 informationLight as Wave Motion p. 1 Huygens' Ideas p. 2 Newton's Ideas p. 8 Complex Numbers p. 10 Simple Harmonic Motion p. 11 Polarized Waves in a Stretched
Introduction p. xvii Light as Wave Motion p. 1 Huygens' Ideas p. 2 Newton's Ideas p. 8 Complex Numbers p. 10 Simple Harmonic Motion p. 11 Polarized Waves in a Stretched String p. 16 Velocities of Mechanical
More informationOPSE FINAL EXAM Fall 2015 YOU MUST SHOW YOUR WORK. ANSWERS THAT ARE NOT JUSTIFIED WILL BE GIVEN ZERO CREDIT.
CLOSED BOOK. Equation Sheet is provided. YOU MUST SHOW YOUR WORK. ANSWERS THAT ARE NOT JUSTIFIED WILL BE GIVEN ZERO CREDIT. ALL NUMERICAL ANSERS MUST HAVE UNITS INDICATED. (Except dimensionless units like
More informationElectricity & Optics
Physics 24100 Electricity & Optics Lecture 26 Chapter 33 sec. 1-4 Fall 2017 Semester Professor Koltick Interference of Light Interference phenomena are a consequence of the wave-like nature of light Electric
More informationLecture 7: Optical Spectroscopy. Astrophysical Spectroscopy. Broadband Filters. Fabry-Perot Filters. Interference Filters. Prism Spectrograph
Lecture 7: Optical Spectroscopy Outline 1 Astrophysical Spectroscopy 2 Broadband Filters 3 Fabry-Perot Filters 4 Interference Filters 5 Prism Spectrograph 6 Grating Spectrograph 7 Fourier Transform Spectrometer
More informationA beam of coherent monochromatic light from a distant galaxy is used in an optics experiment on Earth.
Waves_P2 [152 marks] A beam of coherent monochromatic light from a distant galaxy is used in an optics experiment on Earth. The beam is incident normally on a double slit. The distance between the slits
More informationThe Michelson Interferometer
Experiment #33 The Michelson Interferometer References 1. Your first year physics textbook. 2. Hecht, Optics, Addison Wesley - Chapter 9 in the 4th Ed. (2001). 3. Jenkins and White, Fundamentals of Optics
More informationE. K. A. ADVANCED PHYSICS LABORATORY PHYSICS 3081, 4051 FRAUNHOFER DIFFRACTION
E. K. A. ADVANCED PHYSICS LABORATORY PHYSICS 3081, 4051 FRAUNHOFER DIFFRACTION References for Fraunhofer Diffraction 1. Jenkins and White Fundamentals of Optics. Chapters on Fraunhofer diffraction and
More information1. Waves and Particles 2. Interference of Waves 3. Wave Nature of Light
1. Waves and Particles 2. Interference of Waves 3. Wave Nature of Light 1. Double-Slit Eperiment reading: Chapter 22 2. Single-Slit Diffraction reading: Chapter 22 3. Diffraction Grating reading: Chapter
More informationLight as a Transverse Wave.
Waves and Superposition (Keating Chapter 21) The ray model for light (i.e. light travels in straight lines) can be used to explain a lot of phenomena (like basic object and image formation and even aberrations)
More informationPhysics of Light and Optics
Physics of Light and Optics Justin Peatross and Harold Stokes Brigham Young University Department of Physics and Astronomy All Publication Rights Reserved (2001) Revised April 2002 This project is supported
More information16. More About Polarization
16. More About Polarization Polarization control Wave plates Circular polarizers Reflection & polarization Scattering & polarization Birefringent materials have more than one refractive index A special
More informationPre-lab Quiz/PHYS 224. Your name Lab section
Pre-lab Quiz/PHYS 224 THE DIFFRACTION GRATING AND THE OPTICAL SPECTRUM Your name Lab section 1. What are the goals of this experiment? 2. If the period of a diffraction grating is d = 1,000 nm, where the
More informationLecture 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 informationInterference. Part-2. Gambar: Museum Victoria Australia
Interference Part-2 Gambar: Museum Victoria Australia Amplitude Splitting Interferometer S 2. Michelson Interferometer The principle: amplitude splitting d HM D F B M1 Detector C M1 E Interference at F
More informationWaves & Oscillations
Physics 42200 Waves & Oscillations Lecture 25 Propagation of Light Spring 2013 Semester Matthew Jones Midterm Exam: Date: Wednesday, March 6 th Time: 8:00 10:00 pm Room: PHYS 203 Material: French, chapters
More informationECEN 4606, UNDERGRADUATE OPTICS LAB
ECEN 4606, UNDERGRADUATE OPTICS LAB Lab 6: Polarization Original: Professor McLeod SUMMARY: In this lab you will become familiar with the basics of polarization and learn to use common optical elements
More information8. The Michelson Interferometer
M 8. The Michelson Interferometer 8.1 Introduction Interference patterns from superposed coherent waves may be used for precise determination of wavelength or, if the wavelength is known, time-of-flight,
More informationExperiment 6: Interferometers
Experiment 6: Interferometers Nate Saffold nas2173@columbia.edu Office Hour: Mondays, 5:30PM-6:30PM @ Pupin 1216 INTRO TO EXPERIMENTAL PHYS-LAB 1493/1494/2699 NOTE: No labs and no lecture next week! Outline
More informationLast Name: First Name Network-ID
Last Name: First Name Network-ID Discussion Section: Discussion TA Name: Turn off your cell phone and put it out of sight. Keep your calculator on your own desk. Calculators cannot be shared. This is a
More informationOptics Optical Testing and Testing Instrumentation Lab
Optics 513 - Optical Testing and Testing Instrumentation Lab Lab #6 - Interference Microscopes The purpose of this lab is to observe the samples provided using two different interference microscopes --
More informationSummer 2016 Written Comprehensive Exam Opti 501. System of units: MKSA
Summer 2016 Written Comprehensive Exam Opti 501 System of units: MKSA 3Pts 3Pts 4Pts A monochromatic plane electromagnetic wave propagates in free space along the -axis. The beam is linearly polarized
More informationOPTI510R: 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 informationChapter 7. Interference of Light
Chapter 7. Interference of Light Last Lecture Superposition of waves Laser This Lecture Two-Beam Interference Young s Double Slit Experiment Virtual Sources Newton s Rings Film Thickness Measurement by
More informationChapter 35. Interference
Chapter 35 Interference The concept of optical interference is critical to understanding many natural phenomena, ranging from color shifting in butterfly wings to intensity patterns formed by small apertures.
More informationPhysics 313: Laboratory 8 - Polarization of Light Electric Fields
Physics 313: Laboratory 8 - Polarization of Light Electric Fields Introduction: The electric fields that compose light have a magnitude, phase, and direction. The oscillating phase of the field and the
More informationECE 484 Semiconductor Lasers
ECE 484 Semiconductor Lasers Dr. Lukas Chrostowski Department of Electrical and Computer Engineering University of British Columbia January, 2013 Module Learning Objectives: Understand the importance of
More informationPHY132 Review for Mid-Term Test
PHY132 Review for Mid-Term Test Examinations are formidable even to the best prepared, for the greatest fool may ask more than the wisest man can answer. Charles Caleb Colton, English writer (1780-1832)
More informationCoherence and width of spectral lines with Michelson interferometer
Coherence and width of spectral lines TEP Principle Fraunhofer and Fresnel diffraction, interference, spatial and time coherence, coherence conditions, coherence length for non punctual light sources,
More informationWave Propagation in Uniaxial Media. Reflection and Transmission at Interfaces
Lecture 5: Crystal Optics Outline 1 Homogeneous, Anisotropic Media 2 Crystals 3 Plane Waves in Anisotropic Media 4 Wave Propagation in Uniaxial Media 5 Reflection and Transmission at Interfaces Christoph
More informationA novel scheme for measuring the relative phase difference between S and P polarization in optically denser medium
A novel scheme for measuring the relative phase difference between S and P polarization in optically denser medium Abstract Yu Peng School of Physics, Beijing Institute of Technology, Beijing, 100081,
More informationSECOND PUBLIC EXAMINATION. Honour School of Physics Part C: 4 Year Course. Honour School of Physics and Philosophy Part C
2752 SECOND PUBLIC EXAMINATION Honour School of Physics Part C: 4 Year Course Honour School of Physics and Philosophy Part C C2: LASER SCIENCE AND QUANTUM INFORMATION PROCESSING TRINITY TERM 2013 Friday,
More informationPhysics 214. Midterm Exam Spring Last Name: First Name NetID Discussion Section: Discussion TA Name:
Last Name: First Name NetID Discussion Section: Discussion TA Name: Instructions Turn off your cell phone and put it away. Keep your calculator on your own desk. Calculators may not be shared. This is
More informationTopic 4 &11 Review Waves & Oscillations
Name: Date: Topic 4 &11 Review Waves & Oscillations 1. A source produces water waves of frequency 10 Hz. The graph shows the variation with horizontal position of the vertical displacement of the surface
More informationInterference- Michelson Interferometer. Interference lecture by Dr. T.Vishwam
Interference- Michelson Interferometer Interference lecture by Dr. T.Vishwam * Measurement of the coherence length of a spectral line * Measurement of thickness of thin transparent flakes * Measurement
More informationMeasurements in Optics for Civil Engineers
Measurements in Optics for Civil Engineers I. FOCAL LENGTH OF LENSES The behavior of simplest optical devices can be described by the method of geometrical optics. For convex or converging and concave
More informationDispersion and how to control it
Dispersion and how to control it Group velocity versus phase velocity Angular dispersion Prism sequences Grating pairs Chirped mirrors Intracavity and extra-cavity examples 1 Pulse propagation and broadening
More informationAPRIL 2015 EXAMINATION version A PHY 132H1S Duration - 2 hours
Family Name Given Name(s) Student Number Practical Group (Please print in BLOCK LETTERS) as on student card Code as on student card UNIVERSITY OF TORONTO Faculty of Arts and Science APRIL 2015 EXAMINATION
More information2.71. Final examination. 3 hours (9am 12 noon) Total pages: 7 (seven) PLEASE DO NOT TURN OVER UNTIL EXAM STARTS PLEASE RETURN THIS BOOKLET
2.71 Final examination 3 hours (9am 12 noon) Total pages: 7 (seven) PLEASE DO NOT TURN OVER UNTIL EXAM STARTS Name: PLEASE RETURN THIS BOOKLET WITH YOUR SOLUTION SHEET(S) MASSACHUSETTS INSTITUTE OF TECHNOLOGY
More informationPhys102 Lecture Diffraction of Light
Phys102 Lecture 31-33 Diffraction of Light Key Points Diffraction by a Single Slit Diffraction in the Double-Slit Experiment Limits of Resolution Diffraction Grating and Spectroscopy Polarization References
More informationModel 556X User s Manual. Optical Isolator
Model 556X User s Manual Optical Isolator 550031 Rev. A 2 Is a registered trademark of New Focus Inc. Warranty New Focus, Inc. guarantees its products to be free of defects for one year from the date of
More informationAny first year text, sections on atomic structure, spectral lines and spectrometers
Physics 33 Experiment 5 Atomic Spectra References Any first year text, sections on atomic structure, spectral lines and spectrometers Any modern physics text, eg F.K. Richtmeyer, E.H. Kennard and J.N.
More informationPHYSICS 370 OPTICS. Instructor: Dr. Fred Otto Phone:
PHYSICS 370 OPTICS Instructor: Dr. Fred Otto Phone: 457-5854 Office: Pasteur 144 E-mail: fotto@winona.edu Text: F.L. Pedrotti, L.S. Pedrotti, and L.M. Pedrotti, Introduction to Optics, 3 rd Ed., 2000,
More informationCalculating Thin Film Stack Properties. Polarization Properties of Thin Films
Lecture 6: Thin Films Outline 1 Thin Films 2 Calculating Thin Film Stack Properties 3 Polarization Properties of Thin Films 4 Anti-Reflection Coatings 5 Interference Filters Christoph U. Keller, Utrecht
More informationLC circuit: Energy stored. This lecture reviews some but not all of the material that will be on the final exam that covers in Chapters
Disclaimer: Chapter 29 Alternating-Current Circuits (1) This lecture reviews some but not all of the material that will be on the final exam that covers in Chapters 29-33. LC circuit: Energy stored LC
More informationWeek 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= nm. = nm. = nm
Chemistry 60 Analytical Spectroscopy PROBLEM SET 5: Due 03/0/08 1. At a recent birthday party, a young friend (elementary school) noticed that multicolored rings form across the surface of soap bubbles.
More informationLab 5: Spectroscopy & the Hydrogen Atom Phy248 Spring 2009
Lab 5: Spectroscopy & the Hydrogen Atom Phy248 Spring 2009 Name Section Return this spreadsheet to your TA that will use it to score your lab. To receive full credit you must use complete sentences and
More informationIntroduction. Procedure. In this experiment, you'll use the interferometer to EQUIPMENT NEEDED: Lens 18mm FL. Component holder.
12-7137A Precision Interferometer Experiment 1: Introduction to Interferometry EQUIPMENT NEEDED: Basic Interferometer (OS-9255A) Laser (OS-9171) Laser Alignment Bench (OS-9172) Interferometer Accessories
More informationOptics. Measuring the line spectra of inert gases and metal vapors using a prism spectrometer. LD Physics Leaflets P
Optics Spectrometer Prism spectrometer LD Physics Leaflets P5.7.1.1 Measuring the line spectra of inert gases and metal vapors using a prism spectrometer Objects of the experiment Adjusting the prism spectrometer.
More informationGroup Velocity and Phase Velocity
Group Velocity and Phase Velocity Tuesday, 10/31/2006 Physics 158 Peter Beyersdorf Document info 14. 1 Class Outline Meanings of wave velocity Group Velocity Phase Velocity Fourier Analysis Spectral density
More informationPhysics I Keystone Institute Technology & Management Unit-II
Un-polarized light Ordinary light is a collection of wave trains emitted by atoms or group of atoms with coherent time no longer than 10-8 second. Each wave train has different orientation and phase of
More informationPrac%ce Quiz 8. These are Q s from old quizzes. I do not guarantee that the Q s on this year s quiz will be the same, or even similar.
Prac%ce Quiz 8 These are Q s from old quizzes. I do not guarantee that the Q s on this year s quiz will be the same, or even similar. A laser beam shines vertically upwards. What laser power is needed
More informationHigher Physics. Particles and Waves
Perth Academy Physics Department Higher Physics Particles and Waves Particles and Waves Homework Standard Model 1 Electric Fields and Potential Difference 2 Radioactivity 3 Fusion & Fission 4 The Photoelectric
More informationScience Lab I Properties of Light
Art & Science of Light Fall 2007 Science Lab I Properties of Light Prepared by: Dr. Dharshi Bopegedera 1 Using the Filtergraph (15 minutes) 1. Turn on the filtergraph, place a card on it and look at the
More informationGeneral Physics II Summer Session 2013 Review Ch - 16, 17, 18
95.104 General Physics II Summer Session 2013 Review Ch - 16, 17, 18 A metal ball hangs from the ceiling by an insulating thread. The ball is attracted to a positivecharged rod held near the ball. The
More informationECE357H1F ELECTROMAGNETIC FIELDS FINAL EXAM. 28 April Examiner: Prof. Sean V. Hum. Duration: hours
UNIVERSITY OF TORONTO FACULTY OF APPLIED SCIENCE AND ENGINEERING The Edward S. Rogers Sr. Department of Electrical and Computer Engineering ECE357H1F ELECTROMAGNETIC FIELDS FINAL EXAM 28 April 15 Examiner:
More information1. In Young s double slit experiment, when the illumination is white light, the higherorder fringes are in color.
TRUE-FALSE STATEMENTS: ELECTRICITY: 1. Electric field lines originate on negative charges. 2. The flux of the electric field over a closed surface is proportional to the net charge enclosed by the surface.
More informationAP Waves/Optics ~ Learning Guide
AP Waves/Optics ~ Learning Guide Name: Instructions: Using a pencil, answer the following questions. The guide is marked based on effort, completeness, thoughtfulness, and neatness (not accuracy). Do your
More informationLab 2: Mach Zender Interferometer Overview
Lab : Mach Zender Interferometer Overview Goals:. Study factors that govern the interference between two light waves with identical amplitudes and frequencies. Relative phase. Relative polarization. Learn
More informationJRE Group of Institutions ASSIGNMENT # 1 Special Theory of Relativity
ASSIGNMENT # 1 Special Theory of Relativity 1. What was the objective of conducting the Michelson-Morley experiment? Describe the experiment. How is the negative result of the experiment interpreted? 2.
More informationLecture 11: Doppler wind lidar
Lecture 11: Doppler wind lidar Why do we study winds? v Winds are the most important variable studying dynamics and transport in the atmosphere. v Wind measurements are critical to improvement of numerical
More informationChapter 1. Optical Interferometry. Introduction
Chapter 1 Optical Interferometry Experiment objectives: Assemble and align Michelson and Fabry-Perot interferometers, calibrate them using a laser of known wavelength, and then use them characterize the
More informationEXPERIMENT 14. The Atomic Spectrum of Hydrogen
Name: Laboratory Section: Laboratory Section Date: Partners Names: Grade: Last Revised on March 18, 2003 EXPERIMENT 14 The Atomic Spectrum of Hydrogen 0. Pre-Laboratory Work [2 pts] 1. You will be using
More informationA Question. Simple Magnifier. Magnification by a Lens 11/29/2011. The last lecture
The last lecture Exam: Final: Consult the website, especially room assignments. Makeup: Register with me today. Tea and Cookies: Tuesdays 5PM, NPB 2175 A Question Unpolarized light of intensity I goes
More informationPolarizers and Retarders
Phys 531 Lecture 20 11 November 2004 Polarizers and Retarders Last time, discussed basics of polarization Linear, circular, elliptical states Describe by polarization vector ĵ Today: Describe elements
More informationChapter 8 Optical Interferometry
Chapter 8 Optical Interferometry Lecture Notes for Modern Optics based on Pedrotti & Pedrotti & Pedrotti Instructor: Nayer Eradat Spring 009 4/0/009 Optical Interferometry 1 Optical interferometry Interferometer
More informationExam 3--PHYS 202--S10
ame: Exam 3--PHYS 202--S0 Multiple Choice Identify the choice that best completes the statement or answers the question A person uses a convex lens that has a focal length of 25 cm to inspect a gem The
More informationA few Experimental methods for optical spectroscopy Classical methods Modern methods. Remember class #1 Generating fast LASER pulses
A few Experimental methods for optical spectroscopy Classical methods Modern methods Shorter class Remember class #1 Generating fast LASER pulses, 2017 Uwe Burghaus, Fargo, ND, USA W. Demtröder, Laser
More informationLecture 3 : Electrooptic effect, optical activity and basics of interference colors with wave plates
Lecture 3 : Electrooptic effect, optical activity and basics of interference colors with wave plates NW optique physique II 1 Electrooptic effect Electrooptic effect: example of a KDP Pockels cell Liquid
More informationLecture 5: Polarization. Polarized Light in the Universe. Descriptions of Polarized Light. Polarizers. Retarders. Outline
Lecture 5: Polarization Outline 1 Polarized Light in the Universe 2 Descriptions of Polarized Light 3 Polarizers 4 Retarders Christoph U. Keller, Leiden University, keller@strw.leidenuniv.nl ATI 2016,
More information