The sources must be coherent. This means they emit waves with a constant phase with respect to each other.
|
|
- Carmella Lambert
- 5 years ago
- Views:
Transcription
1 CH. 24 Wave Optics
2 The sources must be coherent. This means they emit waves with a constant phase with respect to each other. The waves need to have identical wavelengths. Can t be coherent without this.
3 Incoherent When the phase between the two waves is not constant.
4 Here is a relatively easy way to produce coherent light sources: Pass monochromatic light (light with only 1 wavelength) through a slit. Light passes through the single slit, exiting as a single wave front that reaches two more slits at the same time. These two slits are equally spaced from the first. The second pair of slits will then act as a pair of coherent light sources.
5 Experiment used to observed interference pattern from light emerging from two slits (pinholes). Observe alternating bright and dark parallel bands (fringes). The bright bands show constructive interference. The dark bands show destructive interference. Constructive interference occurs where the light from the two slits, hits the screen in phase. Figure 24.1 Destructive interference occurs where the light from the two slits, hits the screen out of phase.
6 θ bright corresponds to the angle to the bright fringes. The central bright fringe occurs when m = 0. This is called the zeroeth-order maximum.
7 To simplify our math, we can make the assumption that L >> d. The distance (L) to the screen is much larger than the slit separation (d). Also we assume that d >> λ. The slit separation (d) is much larger than the wavelength (λ).
8 Using the previous assumptions, means θ bright and θ dark will be small angles. Useful assumption: For small angles : sin θθθ is approximately θθ θ.
9 Changes in phase due to reflection When light reflects off of a medium that has a higher index of refraction than the initial medium s index of refraction, the electromagnetic wave undergoes a phase change of If n1 < n2: there is a phase change from reflection. If n1 > n2: there is no phase change from reflection. Figure 24.6, 24.7 In figure 24.7, the two reflected beams interfere with each other. Assume nearly normal incidence angles.
10 Due to this change of phase from reflection, we can use thin films, or coatings, to produce an interference pattern. We will need to use the relationship that the wavelength in a medium with index of refraction n is: λ n = λ/n. Let Ray 1 be the reflected ray from the top surface of the film. Its phase changes by This is equivalent to having a path difference of λ/2. Ray 2 passes through the film and reflects off the bottom surface before coming back out the top. If the thickness of the film is t, the extra distance traveled by Ray 2 is 2t.
11 Due to this change of phase from reflection, we can use thin films, or coatings, to produce an interference pattern. Examples: Soap bubble Antireflective coatings for optics Thin layer of water on ice surface Coatings used to reduce radar signature of stealth aircraft
12 Example of light incident on a thin film in air where the index of refraction of the film is greater than n = 1 for air. Let ray 1 be reflected from the top surface of the film. The index of refraction goes from small to big, so the phase changes by This is equivalent to a path difference of λ/2. At the bottom boundary, the light goes from the film to air, so index of refraction goes from bigger to smaller. So there is no phase change. Ray 2 passes through the film and some of it reflects off the bottom surface before coming back out the top, so it travels an extra distance of twice the film s thickness.
13 Ray 1 changes its phase by This is equivalent to a path difference of λ/2 Ray 2 does not have the phase change but the light traveled an extra distance of twice the thickness (2t). If the extra distance traveled by Ray 2 is an odd multiple of λ n /2, the two waves recombine in phase and constructive interference occurs.
14 Destructive interference in a thin film happens when the extra distance traveled by Ray 2 is an integer multiple of λ n. 2t = mλ n and use substitution λ n = λ/n For destructive interference in a thin film: 2nt = mλ m = 0, 1, 2, 3,... See page 843 for Thin film interference strategies Note the dependence on the number of phase reversals This chart is a big deal. See examples 24.2, 24.3
15 Diffraction When a wave front passes through a small space or around a sharp edge, the shape of the wave front changes. For example when plane waves pass through a thin slit, spherical waves come out. Fig shows the light waves passing through a pair of narrow slits. Fig 24.4 shows the diffraction pattern of a single narrow slit. Can be observed in 1-D or 2-D. Fig 24.5 shows the diffraction pattern of a pinhole.
16 When light passes through a slit, we can treat the different parts of the slit as multiple sources of light. The light from the different portions of the slit will interfere with each other. All the light at the slit is in phase. Notice that in figure 24.17, some of the rays have to travel farther than others to reach the locations on the screen. Figure shows the interference pattern from single slit diffraction.
17 Diffraction grating A diffraction grating is a tool that can be used to analyze light sources. A diffraction grating consists of a large number of equally spaced parallel slits. A cheap way to make one is to scratch parallel lines on a glass plate. The scratches are not clear like the rest of the glass. So the gaps between scratches (where the glass is still clear) act as the slits. The gaps and the scratches need to be small, because the wavelength of light is small. A typical grating has several thousand lines per centimeter. It would be very tedious to make one by hand.
18 Light is a wave. We call these, electromagnetic waves. The concept of polarization is good evidence that electromagnetic waves are transverse. Electromagnetic waves consist of oscillating electric and magnetic fields, that are oriented at 90 degrees to each other. Both field oscillate perpendicularly to the direction of wave motion. See figure As a convention, we choose the polarization to correspond to the orientation of the electric field.
19 When charges vibrate, they act like tiny antennae that radiate electromagnetic radiation. The electric field will oscillate in the direction of the vibration. Because vibrations can occur in all directions, the resultant electromagnetic wave is a superposition of all the waves produced by the vibrating charges. This results in unpolarized light. There are waves with the electric field oscillating in all directions. If the electric field vibrates in the same direction every time, linearly polarized light is produced. The electric field oscillates in just one direction. See figure We can produce this by applying an AC voltage to a linear antenna.
20 Polarizer = Device that produces polarized light by the selective absorption of any non-aligned electromagnetic waves using linearly aligned molecules. (Molecules are oriented parallel to each other and are long in one dimension.) The molecules absorb any light whose electric field component is parallel to the molecules. They transmit light that has an electric field perpendicular to their long dimension. The direction that is perpendicular to their long dimension is called the transmission axis.
21 By absorbing any perpendicularly oriented light, polarizing light reduces the intensity of the light that passes through the polarizer, if any of the light is not aligned along the transmission axis. When unpolarized light passes through any polarizer, half the intensity is transmitted. If a second polarizer is used, the second is called an analyzer, the transmitted beam s intensity is reduced depending on the angle between the polarizers. All the light is blocked when two consecutive polarizers have their transmission axis at 90 0 angles apart.
22 Note that if there are more than two polarizers, you need to pay attention to the orientation of them all. Most importantly, what are the relative angles of each adjacent pair of polarizers?!?! Here we have unpolarized light incident on two sets of three identical polarizers. Two very different results!!!
23
24
25 A common application of the polarization and/or polarizers is polarized sunglasses. When sunlight reflects off of a body of water, the reflection or glare is polarized. Cheap sunglasses merely make everything darker. Polarized sun glasses eliminate the glare by absorbing the polarized reflected light. Good for being out on the lake. Bad for skiing down a slope where there are icy patches. Polarized filter for cameras. Makes the image the camera sees more vibrant.
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 informationChapter 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 informationChapter 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 informationTextbook Reference: Physics (Wilson, Buffa, Lou): Chapter 24
AP Physics-B Physical Optics Introduction: We have seen that the reflection and refraction of light can be understood in terms of both rays and wave fronts of light. Light rays are quite compatible with
More informationChapter 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 informationChapter 24. Wave Optics
Chapter 24 Wave Optics hitt1 An upright object is located a distance from a convex mirror that is less than the mirror's focal length. The image formed by the mirror is (1) virtual, upright, and larger
More informationElectromagnetic waves
Electromagnetic waves Now we re back to thinking of light as specifically being an electromagnetic wave u u u oscillating electric and magnetic fields perpendicular to each other propagating through space
More informationChapter 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 informationChapter 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 informationChapter 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 informationCollege 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 informationMichelson 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 informationInterference, Diffraction & Polarization
Interference, Diffraction & Polarization PHY232 Remco Zegers zegers@nscl.msu.edu Room W109 cyclotron building http://www.nscl.msu.edu/~zegers/phy232.html light as waves so far, light has been treated as
More informationChapter 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 informationChapter 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 informationPhysical or wave optics
Physical or wave optics In the last chapter, we have been studying geometric optics u light moves in straight lines u can summarize everything by indicating direction of light using a ray u light behaves
More informationUnit 5.C Physical Optics Essential Fundamentals of Physical Optics
Unit 5.C Physical Optics Essential Fundamentals of Physical Optics Early Booklet E.C.: + 1 Unit 5.C Hwk. Pts.: / 25 Unit 5.C Lab Pts.: / 20 Late, Incomplete, No Work, No Units Fees? Y / N 1. Light reflects
More informationL 32 Light and Optics [3]
L 32 Light and Optics [3] Measurements of the speed of light The bending of light refraction Total internal reflection Dispersion Dispersion Rainbows Atmospheric scattering Blue sky red sunsets Light and
More informationInterference 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 informationDiffraction. Single-slit diffraction. Diffraction by a circular aperture. Chapter 38. In the forward direction, the intensity is maximal.
Diffraction Chapter 38 Huygens construction may be used to find the wave observed on the downstream side of an aperture of any shape. Diffraction The interference pattern encodes the shape as a Fourier
More informationChapter 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 informationEM Waves Practice Problems
PSI AP Physics 2 Name 1. Sir Isaac Newton was one of the first physicists to study light. What properties of light did he explain by using the particle model? 2. Who was the first person who was credited
More informationChapter 24 The Wave Nature of Light
Chapter 24 The Wave Nature of Light 24.1 Waves Versus Particles; Huygens Principle and Diffraction Huygens principle: Every point on a wave front acts as a point source; the wavefront as it develops is
More informationInterference of Light
Interference of Light Young s Double-Slit Experiment If light is a wave, interference effects will be seen, where one part of wavefront can interact with another part. One way to study this is to do a
More informationf. (5.3.1) So, the higher frequency means the lower wavelength. Visible part of light spectrum covers the range of wavelengths from
Lecture 5-3 Interference and Diffraction of EM Waves During our previous lectures we have been talking about electromagnetic (EM) waves. As we know, harmonic waves of any type represent periodic process
More informationInterference Effects. 6.2 Interference. Coherence. Coherence. Interference. Interference
Effects 6.2 Two-Slit Thin film is a general property of waves. A condition for is that the wave source is coherent. between two waves gives characteristic patterns due to constructive and destructive.
More informationPHYS:1200 LECTURE 32 LIGHT AND OPTICS (4)
1 PHYS:1200 LECTURE 32 LIGHT AND OPTICS (4) The first three lectures in this unit dealt with what is for called geometric optics. Geometric optics, treats light as a collection of rays that travel in straight
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 informationCHAPTER 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 informationChapter 24 - The Wave Nature of Light
Chapter 24 - The Wave Nature of Light Summary Four Consequences of the Wave nature of Light: Diffraction Dispersion Interference Polarization Huygens principle: every point on a wavefront is a source of
More informationChapter 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 informationspecular 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 informationINTERFERENCE. 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 informationConcepTest PowerPoints
ConcepTest PowerPoints Chapter 24 Physics: Principles with Applications, 6 th edition Giancoli 2005 Pearson Prentice Hall This work is protected by United States copyright laws and is provided solely for
More informationPolarisation and Diffraction
2015 EdExcel A Level Physics 2015 EdExcel A Level Physics Topic Topic 5 5 Polarisation and Diffraction Polarization Polarization is a characteristic of all transverse waves. Oscillation which take places
More informationIntermediate 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 informationChapter 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 informationPhysics 1C Lecture 27A
Physics 1C Lecture 27A "Any other situation in quantum mechanics, it turns out, can always be explained by saying, You remember the experiment with the two holes? It s the same thing. " --Richard Feynman
More informationChapter 15. Light Waves
Chapter 15 Light Waves Chapter 15 is finished, but is not in camera-ready format. All diagrams are missing, but here are some excerpts from the text with omissions indicated by... After 15.1, read 15.2
More informationCHAPTER 24 The Wave Nature of Light
CHAPTER 24 The Wave Nature of Light http://www.physicsclassroom.com/class/light/lighttoc.html Units Waves Versus Particles; Huygens Principle and Diffraction Huygens Principle and the Law of Refraction
More informationAP Physics Problems -- Waves and Light
AP Physics Problems -- Waves and Light 1. 1975-4 (Physical Optics) a. Light of a single wavelength is incident on a single slit of width w. (w is a few wavelengths.) Sketch a graph of the intensity as
More informationPhysics 272 Lecture 27 Interference (Ch ) Diffraction (Ch )
Physics 272 Lecture 27 Interference (Ch 35.4-5) Diffraction (Ch 36.1-3) Thin Film Interference 1 2 n 0 =1 (air) t n 1 (thin film) n 2 Get two waves by reflection off of two different interfaces. Ray 2
More informationSESSION 5: INVESTIGATING LIGHT. Key Concepts. X-planation. Physical Sciences Grade In this session we:
SESSION 5: INVESTIGATING LIGHT Key Concepts In this session we: Explain what light is, where light comes from and why it is important Identify what happens when light strikes the surface of different objects
More informationExperiment 5: Polarization and Interference
Experiment 5: Polarization and Interference Nate Saffold nas2173@columbia.edu Office Hour: Mondays, 5:30PM-6:30PM @ Pupin 1216 INTRO TO EXPERIMENTAL PHYS-LAB 1493/1494/2699 Introduction Outline: Review
More informationPhysics 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 informationDEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS
DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS LSN 9-3: INTERFERENCE Intro Video: Interference of Waves Questions From Reading Activity? Essential Idea: Interference patterns from multiple slits
More informationYoung s Double Slit Experiment
Young s Double Slit Experiment Light as a Wave? If light behaves like a wave, an experiment similar to a ripple tank using two light sources should reveal bright areas (constructive interference) and dark
More informationElectricity & Optics
Physics 24100 Electricity & Optics Lecture 27 Chapter 33 sec. 7-8 Fall 2017 Semester Professor Koltick Clicker Question Bright light of wavelength 585 nm is incident perpendicularly on a soap film (n =
More informationWaves & Oscillations
Physics 42200 Waves & Oscillations Lecture 37 Interference Spring 2016 Semester Matthew Jones Multiple Beam Interference In many situations, a coherent beam can interfere with itself multiple times Consider
More informationPHY132 Introduction to Physics II Class 5 Outline:
PHY132 Introduction to Physics II Class 5 Outline: Ch. 22, sections 22.1-22.4 (Note we are skipping sections 22.5 and 22.6 in this course) Light and Optics Double-Slit Interference The Diffraction Grating
More informationDiffraction. Factors that affect Diffraction
Diffraction What is one common property the four images share? Diffraction: Factors that affect Diffraction TELJR Publications 2017 1 Young s Experiment AIM: Does light have properties of a particle? Or
More informationCopyright 2012 Nelson Education Ltd. Chapter 10: Applications of the Wave Nature of Light 10-2
Chapter 0 Review, pages 550 555 Knowledge. (d) 2. (d) 3. (d) 4. (c) 5. (a) 6. (a) 7. (d) 8. (a) 9. (a) 0. (b). (c) 2. (c) 3. (d) 4. (b) 5. (a) 6. True 7. True 8. True 9. False. The wave theory of light
More informationOptics and Images. Lenses and Mirrors. Matthew W. Milligan
Optics and Images Lenses and Mirrors Light: Interference and Optics I. Light as a Wave - wave basics review - electromagnetic radiation II. Diffraction and Interference - diffraction, Huygen s principle
More informationRay Optics. Lecture 23. Chapter 23. Physics II. Course website:
Lecture 23 Chapter 23 Physics II Ray Optics Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsii Let s finish talking about a diffraction grating Diffraction Grating Let s improve (more
More informationCollege 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 informationSPH4U UNIVERSITY PHYSICS
SPH4U UNIVERSITY PHYSICS THE WAVE NATURE OF LIGHT L Polarization of Light (P.532-537) What is Polarized Light? Polarized sunglasses eliminate the glare of reflected light off the surface of a stream while
More informationLECTURE 13 THIN FILM INTERFERENCE. Instructor: Kazumi Tolich
LECTURE 13 THIN FILM INTERFERENCE Instructor: Kazumi Tolich Lecture 13 2 17.4 Thin film interference Interference of reflected light waves Thin films of air The colors of soap bubbles and oil slicks 17.4
More informationPhy 133 Section 1: f. Geometric Optics: Assume the rays follow straight lines. (No diffraction). v 1 λ 1. = v 2. λ 2. = c λ 2. c λ 1.
Phy 133 Section 1: f Geometric Optics: Assume the rays follow straight lines. (No diffraction). Law of Reflection: θ 1 = θ 1 ' (angle of incidence = angle of reflection) Refraction = bending of a wave
More informationLecture 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 informationChapter 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 informationPY212 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 informationAnnouncements. Final exam day events (Friday, May 12, 10:00am to 12:00pm)
Announcements Final exam day events (Friday, May 12, 10:00am to 12:00pm) 50-point multiple choice end-material test (covering material from chapters 33-36). (You get a free 8-point question!) 200 point
More informationLecture 24: TUE 20 APR 2010 Ch : E&M Waves
Physics 2102 Jonathan Dowling Lecture 24: TUE 20 APR 2010 Ch.33.6 10: E&M Waves Radiation Pressure Waves not only carry energy but also momentum. The effect is very small (we don t ordinarily feel pressure
More informationMidterm II Physics 9B Summer 2002 Session I
Midterm II Physics 9B Summer 00 Session I Name: Last 4 digits of ID: Total Score: ) Two converging lenses, L and L, are placed on an optical bench, 6 cm apart. L has a 0 cm focal length and is placed to
More information5: Electromagnetic Waves (Chapters 33 & 34) Snapshot of a light wave. Wave vs Particle. A Brief History of Light
A Brief History of Light 5: Electromagnetic Waves (Chapters 33 & 34) Phys130, A01 Dr. Robert MacDonald Isaac Newton, 1600 s: Light is like little bullets. Scientists: Okay, right, that makes sense! Thomas
More information10.5 Polarization of Light
10.5 Polarization of Light Electromagnetic waves have electric and magnetic fields that are perpendicular to each other and to the direction of propagation. These fields can take many different directions
More informationPast 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 informationInterference of Light
Lecture 22 Chapter 22 Physics II Wave Optics: Interference of Light Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsii Wave Motion Interference Models of Light (Water waves are Easy
More informationPhysics 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 informationConceptual Physics Fundamentals
Conceptual Physics Fundamentals Chapter 14: PROPERTIES OF LIGHT This lecture will help you understand: Reflection Refraction Dispersion Total Internal Reflection Lenses Polarization Properties of Light
More informationlight 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 informationLecture 24 EM waves Geometrical optics
Physics 2102 Jonathan Dowling Lecture 24 EM waves Geometrical optics EM spherical waves The intensity of a wave is power per unit area. If one has a source that emits isotropically (equally in all directions)
More informationOPTICS MIRRORS AND LENSES
Downloaded from OPTICS MIRRORS AND LENSES 1. An object AB is kept in front of a concave mirror as shown in the figure. (i)complete the ray diagram showing the image formation of the object. (ii) How will
More informationAH Division of Wavefront and Amplitude Answers
AH Division of Wavefront and Amplitude Answers 1. Interference. 2. a) Splitting a single light beam into two beams, a reflected beam and a transmitted beam, at a surface between two media of two different
More informationMDHS Science Department SPH 4U - Student Goal Tracking Sheet
Name: Unit name: Wave Nature of light Goals for this unit: MDHS Science Department SPH 4U - Student Goal Tracking Sheet 1) I can explain wave behaviour and apply the properties to the Wave Theory of Light.
More informationWhere n = 0, 1, 2, 3, 4
Syllabus: Interference and diffraction introduction interference in thin film by reflection Newton s rings Fraunhofer diffraction due to single slit, double slit and diffraction grating Interference 1.
More informationPHYSICS. 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 informationOPSE 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 informationUnit 4 Wave Theory of Light. Wave Behaviour
Lesson43b.notebook February 06, 2014 Unit 4 Wave Theory of Light Wave Behaviour Today's goal: I can explain wave behaviour with; barriers, different mediums, etc... and explain how they relate to real
More informationChapter 33 cont. The Nature of Light and Propagation of Light (lecture 2) Dr. Armen Kocharian
Chapter 33 cont The Nature of Light and Propagation of Light (lecture 2) Dr. Armen Kocharian Polarization of Light Waves The direction of polarization of each individual wave is defined to be the direction
More informationPhase. E = A sin(2p f t+f) (wave in time) or E = A sin(2p x/l +f) (wave in space)
Interference When two (or more) waves arrive at a point (in space or time), they interfere, and their amplitudes may add or subtract, depending on their frequency and phase. 1 Phase E = A sin(2p f t+f)
More informationWave 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 informationWaves & 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 informationMEASUREMENT OF THE WAVELENGTH WITH APPLICATION OF A DIFFRACTION GRATING AND A SPECTROMETER
Warsaw University of Technology Faculty of Physics Physics Laboratory I P Irma Śledzińska 4 MEASUREMENT OF THE WAVELENGTH WITH APPLICATION OF A DIFFRACTION GRATING AND A SPECTROMETER 1. Fundamentals Electromagnetic
More informationVersion 001 Interference jean (AP Phy MHS 2012) 1
Version 001 Interference jean AP Phy MHS 01) 1 This print-out should have 11 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. sound m Concept
More informationAP* 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 informationProblem Solving 10: Double-Slit Interference
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of hysics roblem Solving 10: Double-Slit Interference OBJECTIVES 1. To introduce the concept of interference. 2. To find the conditions for constructive
More informationInterference & Diffraction
Electromagnetism & Light Interference & Diffraction https://youtu.be/iuv6hy6zsd0?t=2m17s Your opinion is very important to us. What study material would you recommend for future classes of Phys140/141?
More informationInterference of Light
Lecture 23 Chapter 22 Physics II Wave Optics: Interference of Light Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsii Lecture Capture: http://echo360.uml.edu/danylov201415/physics2spring.html
More informationUNIT 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 information5 10:00 AM 12:00 PM 1420 BPS
Physics 294H l Professor: Joey Huston l email:huston@msu.edu l office: BPS3230 l Homework will be with Mastering Physics (and an average of 1 hand-written problem per week) I ve assigned 22.62 as a hand-in
More informationReview Session 1. Dr. Flera Rizatdinova
Review Session 1 Dr. Flera Rizatdinova Summary of Chapter 23 Index of refraction: Angle of reflection equals angle of incidence Plane mirror: image is virtual, upright, and the same size as the object
More informationDispersion Polarization
Dispersion Polarization Phys Phys 2435: 22: Chap. 33, 31, Pg 1 Dispersion New Topic Phys 2435: Chap. 33, Pg 2 The Visible Spectrum Remember that white light contains all the colors of the s p e c t r u
More informationPhysical 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 information10.4 Interference in Thin Films
0. Interference in Thin Films You have probably noticed the swirling colours of the spectrum that result when gasoline or oil is spilled on water. And you have also seen the colours of the spectrum shining
More informationUniversity Physics (Prof. David Flory) Chapt_37 Monday, August 06, 2007
Name: Date: 1. If we increase the wavelength of the light used to form a double-slit diffraction pattern: A) the width of the central diffraction peak increases and the number of bright fringes within
More informationInterference of Light
Lecture 23 Chapter 22 Physics II 08.07.2015 Wave Optics: Interference of Light Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsii Lecture Capture: http://echo360.uml.edu/danylov201415/physics2spring.html
More informationLecture 17 (Polarization and Scattering) Physics Spring 2018 Douglas Fields
Lecture 17 (Polarization and Scattering) Physics 262-01 Spring 2018 Douglas Fields Reading Quiz When unpolarized light passes through an ideal polarizer, the intensity of the transmitted light is: A) Unchanged
More informationWallace Hall Academy
Wallace Hall Academy CfE Higher Physics Unit 2 - Waves Notes Name 1 Waves Revision You will remember the following equations related to Waves from National 5. d = vt f = n/t v = f T=1/f They form an integral
More informationLECTURE 26: Interference ANNOUNCEMENT. Interference. Interference: Phase Differences
ANNOUNCEMENT *Exam : Friday December 4, 0, 8 AM 0 AM *Location: Elliot Hall of Music *Covers all readings, lectures, homework from Chapters 9 through 33. *The exam will be multiple choice. Be sure to bring
More information