Electricity & Optics
|
|
- Herbert Francis
- 5 years ago
- Views:
Transcription
1 Physics Electricity & Optics Lecture 27 Chapter 33 sec. 7-8 Fall 2017 Semester Professor Koltick
2 Clicker Question Bright light of wavelength 585 nm is incident perpendicularly on a soap film (n = 1.33) of thickness 1.21 microns, suspended in air. Is the light reflected by the two surfaces of the film closer to interfering fully destructively or fully constructively? (A) fully constructively (B) fully destructively
3 Interference Three ways to introduce a phase difference in two beams of coherent light: Incident light Reflected light Different path length Different index of refraction Reflection from a material with a larger n t = 1.21 μm n= 1.33 λ air = 585 nm λ soap = (585 nm)/1.33 = 440 nm Number of wavelengths in the soap film: 2t/λ soap = 5.5 In phase with the reflected light. (constructive interference) (Phase reversal since n>1)
4 Constructive Interference (1) The geometric optics of the previous chapter cannot be used to explain interference To understand these interference phenomena we must take into account the wave nature of light Interference takes place when light waves of the same wavelength are superimposed If the light waves are in phase, they interfere constructively, as shown to the right + = 14 Thursday, December 10, 15
5 Constructive Interference (2) The statement that the two waves interfere constructively is the same as saying that the phase difference between the two waves is zero A phase difference of 2π radians, 360 (one wavelength) will also produce two waves that are in phase If the light waves are traveling from some common point, then the phase difference can be related to the path difference between the two waves The criterion for constructive interference is given by a path difference Δx given by 15 Thursday, December 10, 15
6 Destructive Interference (1) If the two light waves are out of phase, as shown to the right, the amplitudes of the waves will sum to zero everywhere and the two waves will destructively interfere Here the phase difference between the two waves is π radians, 180, or λ/2 + = 16 Thursday, December 10, 15
7 Destructive Interference (2) If we think of the two light waves as being emitted from the same source, the phase difference can be related to the path difference, and we can see that destructive interference will take place if the path difference is a half wavelength plus an integer times the wavelength 17 Thursday, December 10, 15
8 Geometrical optics: Diffraction Edge, obstacle or aperture much larger than λ Light travels in straight lines Shadows have distinct, sharp edges Wave optics: Feature sizes are similar to the wavelength, λ Waves spread out around objects and can interfere constructively or destructively Interference patterns of light and dark fringes
9 Wave properties of light Diffraction through a slit. Antinodal lines can be seen. 8 Thursday, December 10, 15
10 Single Slit Diffraction (1) Diffraction of light through a single slit of width a that is comparable to the wavelength of light that is passing through the slit Approach: Using a Huygens construction Spherical wavelets emitted from a distribution of points located in the slit Light emitted from these points will superimpose and interfere based on the path length difference for each wavelet at each position 44 Thursday, December 10, 15
11 Single Slit Diffraction (2) At a distant screen we will observe an intensity pattern characteristic of diffraction Bright and dark fringes For diffraction we will only analyze the dark fringes as destructive interference 45 Thursday, December 10, 15
12 Single Slit Diffraction: First Dark Fringe (1) To study the diffraction let s expand and simplify our previous figure for single slit diffraction We assume coherent light with wavelength λ incident on a slit with width a that produces an interference pattern on a screen at distance L We analyze pairs of light waves emitted from points in the slit 46 Thursday, December 10, 15
13 Single Slit Diffraction: First Dark Fringe (2) We start with light emitted from the top edge of the slit and from the center of the slit as shown To analyze the path difference we show an expanded version of our figure to the right Here we assume that the point P on the screen is far enough away that the rays r 1 and r 2 are parallel and make an angle θ with the central axis C 47 Thursday, December 10, 15
14 Single Slit Diffraction: First Dark Fringe (3) Therefore the path length difference for these two rays is The criterion for the first dark fringe is Although we chose one ray originating from the top edge of the slit and one from the middle of the slit to locate the first dark fringe, we could have used any two rays that originated a/2 apart inside the slit 48 Thursday, December 10, 15
15 Single Slit Diffraction: Dark Fringes The dark fringes from single slit diffraction can be described by 51 Thursday, December 10, 15
16 Single Slit Diffraction Angle of first minimum: sin θ θ = λ a When a < λ there is no minimum and the slit emits light uniformly in all directions. The larger the aperture, the less flaring of the transmitted light.
17 Single Slit Intensity If the screen is placed a sufficiently large distance from the slits, the angle θ will be small and we can make the approximation We can express the position of the dark fringes as The intensity of light passing through a single slit can be calculated but we will not present the derivation here The intensity I relative to I max that we would get if there were no slit is We can see that this expression for the intensity will be zero for sin(α) = 0, which means α = mπ for m = 1, 2, 3, 52 Thursday, December 10, 15
18 Single Slit Intensity If the screen is placed a sufficiently large distance from the slits, the angle θ will be small and we can make the approximation We can express the position of the dark fringes as The intensity of light passing through a single slit can be calculated but we will not present the derivation here The intensity I relative to I max that we would get if there were no slit is We can see that this expression for the intensity will be zero for sin(α) = 0, which means α = mπ for m = 1, 2, 3, 52 Thursday, December 10, 15
19 Single Slit Intensity: Dark Fringes We can write If the screen is placed a sufficiently large distance from the slits we can make the small angle approximation and write 53 Thursday, December 10, 15
20 Single Slit Diffraction Waves from all points in the slit travel the same distance to reach the center and are in phase: constructive interference.
21 Fresnel Diffraction Two waves that touch the top and bottom parts of the disk travel the same distance to the center and interfere constructively.
22 Diffraction from and Edge The shadow has a diffraction pattern within a few wavelengths of the edge.
23 Rayleigh Criteria: Resolvability The minimum angular separation α c of two marginally resolvable points is such that the maximum of the diffraction pattern from one falls on the first minimum of the diffraction pattern of the other. First minima is at sin θ = 1.22 λ d so α c = θ 1.22 λ d
24 Rayleigh Criteria Resolvable
25 Resolvability Rayleigh Criteria: α c = 1.22 λ d The minimum resolvable angle can be decreased by Increasing d Decreasing λ (use ultraviolet light or observe it in a medium with larger n) Electrons behave like waves with very short wavelengths λ(e) λ(light)/10 5
26 Diffraction from a Circular Aperture The central bright spot is called Airy disk. About 85% of the power is in this area. The dark fringes are found at: sin θ 1 = 1.22 λ d sin θ 2 = 2.23 λ d sin θ 3 = 3.24 λ d d is the diameter of the circular aperture.
27 Diffraction from a Circular Aperture The bright fringes are found at: sin θ 1 = 1.63 λ d sin θ 2 = 2.68 λ d sin θ 3 = 3.70 λ d Image of two nearby binary stars can t be clearly resolved because their diffraction patterns overlap. The Airy disk limits the resolvability of nearby objects.
28 Diffrac5on and Resolving close sources Brighter is Mizar, Alcor is to the le2 The Pair can be resolved by the human eye Mizar A and Mizar B Can not be resolved by the human eye first-known double, the pairing discovered by G. B. Riccioli in 1650
29 G. Seurat Poin5llist Art If dots are 2-mm apart how far away most we stand to have the dots blend together? Assume the eye pupil diameter is 2.2 mm.
30 Diffraction Gratings (3) A portion of a diffraction grating is shown below In this drawing we see coherent light with wavelength incident on a series of narrow slits each separated by a distance d A diffraction pattern is produced on a screen a long distance L away 92 Thursday, December 10, 15
31 Lots of Slits Constructive interference when δ = d sin θ = mλ Lines become sharper: half-width of central line is θ = λ Nd d When N is very large (10 4 /cm) the lines are very sharp.
32 Diffraction Gratings Sharp, bright fringes occur when d sin θ = mλ, m = 1,2,3, Resolving power: can we detect two spectral lines separated by Δλ? d Δθ = m Δλ Half width of central line: θ = λ Nd Resolving power: R = λ = mλ = mn Δλ d Δθ
33 Reflection grating Note: in ray optics this would have produced a single image by tilted mirror. In wave optics we get diffraction pattern 49 Thursday, December 10, 15
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 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 informationDiffraction. Introduction: Diffraction is bending of waves around an obstacle (barrier) or spreading of waves passing through a narrow slit.
Introduction: Diffraction is bending of waves around an obstacle (barrier) or spreading of waves passing through a narrow slit. Diffraction amount depends on λ/a proportion If a >> λ diffraction is negligible
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 informationModels 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 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 informationChapter 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 informationChapter 4 - Diffraction
Diffraction is the phenomenon that occurs when a wave interacts with an obstacle. David J. Starling Penn State Hazleton PHYS 214 When a wave interacts with an obstacle, the waves spread out and interfere.
More informationInterference. Electric fields from two different sources at a single location add together. The same is true for magnetic fields at a single location.
Interference Electric fields from two different sources at a single location add together. The same is true for magnetic fields at a single location. Thus, interacting electromagnetic waves also add together.
More informationTo see how a sharp edge or an aperture affect light. To analyze single-slit diffraction and calculate the intensity of the light
Diffraction Goals for lecture To see how a sharp edge or an aperture affect light To analyze single-slit diffraction and calculate the intensity of the light To investigate the effect on light of many
More informationLECTURE 20: Interference, Diffraction, Resolution. Interference. Interference: Double Slit (for very narrow slits) Interference: Double Slit (DEMO)
LECTURE 0: Interference, Diffraction, Resolution Interference *Three ways in which the phase ifference between two waves can change: 1. By traveling though meia of ifferent inexes of refraction. By traveling
More informationPH 222-3A Fall Diffraction Lectures Chapter 36 (Halliday/Resnick/Walker, Fundamentals of Physics 8 th edition)
PH 222-3A Fall 2012 Diffraction Lectures 28-29 Chapter 36 (Halliday/Resnick/Walker, Fundamentals of Physics 8 th edition) 1 Chapter 36 Diffraction In Chapter 35, we saw how light beams passing through
More informationLecture 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 informationChapter 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 informationLecture 6: Waves Review and Examples PLEASE REVIEW ON YOUR OWN. Lecture 6, p. 1
Lecture 6: Waves Review and Examples PLEASE REVEW ON YOUR OWN Lecture 6, p. 1 Single-Slit Slit Diffraction (from L4) Slit of width a. Where are the minima? Use Huygens principle: treat each point across
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 informationPhysics 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 informationSingle 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 informationChapter 36 Diffraction
Chapter 36 Diffraction In Chapter 35, we saw how light beams passing through different slits can interfere with each other and how a beam after passing through a single slit flares diffracts in Young's
More informationLecture 16 Diffraction Ch. 36
Lecture 16 Diffraction Ch. 36 Topics Newtons Rings Diffraction and the wave theory Single slit diffraction Intensity of single slit diffraction Double slit diffraction Diffraction grating Dispersion and
More informationDr. Quantum. General Physics 2 Light as a Wave 1
Dr. Quantum General Physics 2 Light as a Wave 1 The Nature of Light When studying geometric optics, we used a ray model to describe the behavior of light. A wave model of light is necessary to describe
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 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 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 informationLecture 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 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 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 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 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 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 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 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 informationLecture 6: Waves Review and Examples PLEASE REVIEW ON YOUR OWN. Lecture 6, p. 1
Lecture 6: Waves Review and Examples PLEASE REVEW ON YOUR OWN Lecture 6, p. 1 Single-Slit Diffraction (from L4) Slit of width a. Where are the minima? Use Huygens principle: treat each point across the
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 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 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 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 informationLecture 4. Physics 1502: Lecture 35 Today s Agenda. Homework 09: Wednesday December 9
Physics 1502: Lecture 35 Today s Agenda Announcements: Midterm 2: graded soon» solutions Homework 09: Wednesday December 9 Optics Diffraction» Introduction to diffraction» Diffraction from narrow slits»
More informationLecture 41: WED 29 APR
Physics 2102 Jonathan Dowling Lecture 41: WED 29 APR Ch. 36: Diffraction PHYS 2102-2 FINAL 5:30-7:30PM FRI 08 MAY COATES 143 1/2 ON NEW MATERIAL 1/2 ON OLD MATERIAL Old Formula Sheet: http://www.phys.lsu.edu/classes/
More informationDiffraction at a single slit and double slit Measurement of the diameter of a hair
Diffraction at a single slit and double slit Measurement of the diameter of a hair AREEJ AL JARB Background... 3 Objects of the experiments 4 Principles Single slit... 4 Double slit.. 6 Setup. 7 Procedure
More informationPHYSICS - CLUTCH CH 32: WAVE OPTICS.
!! www.clutchprep.com CONCEPT: DIFFRACTION Remember! Light travels in a straight line so long as it isn t disturbed - This allows light to be described as RAYS A common way to disturb light is to have
More information25-1 Interference from Two Sources
25-1 Interference from Two Sources In this chapter, our focus will be on the wave behavior of light, and on how two or more light waves interfere. However, the same concepts apply to sound waves, and other
More informationDiffraction Diffraction occurs when light waves pass through an aperture Huygen's Principal: each point on wavefront acts as source of another wave
Diffraction Diffraction occurs when light waves pass through an aperture Huygen's Principal: each point on wavefront acts as source of another wave If light coming from infinity point source at infinity
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 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 informationWave Optics. Physics 2B. If two waves exist at the same point in space at the same time, they will interfere with each other.
Physics 2B Wave Optics Interference If two waves exist at the same point in space at the same time, they will interfere with each other. Interference Superposition Principle for Waves The Principle of
More informationPhysics 228 Today: Diffraction, diffraction grating
Physics 228 Today: Diffraction, diffraction grating Website: Sakai 01:750:228 or www.physics.rutgers.edu/ugrad/228 Diffraction is a further expansion of the idea of interference. We expand from two sources
More informationPhysics 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 informationUNIT 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 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 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 informationInterference and Diffraction of Light
Name Date Time to Complete h m Partner Course/ Section / Grade Interference and Diffraction of Light Reflection by mirrors and refraction by prisms and lenses can be analyzed using the simple ray model
More informationThe 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 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 informationModule 18: Diffraction-I Lecture 18: Diffraction-I
Module 18: iffraction-i Lecture 18: iffraction-i Our discussion of interference in the previous chapter considered the superposition of two waves. The discussion can be generalized to a situation where
More informationFinal Exam and End Material Test Friday, May 12, 10:00-12:00
Final Exam and End Material Test Friday, May 12, 10:00-12:00 Test rooms: Instructor Sections Room Dr. Hale F, H 104 Physics Dr. Kurter B, N 125 BCH Dr. Madison K, M B-10 Bertelsmeyer Dr. Parris J St. Pats
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 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 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 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 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 informationCAUTION: NEVER LOOK DIRECTLY INTO THE LASER BEAM.
LABORATORY 12 PHYSICAL OPTICS I: INTERFERENCE AND DIFFRACTION Objectives To be able to explain demonstrate understanding of the dependence of a double slit interference pattern on slit width, slit separation
More informationOptics Wave Behavior in Optics Diffraction
Optics Wave Behavior in Optics Diffraction Lana Sheridan De Anza College June 15, 2018 Last time Interference of light: the Double-Slit experiment multiple slit interference diffraction gratings Overview
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 informationPhysics 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 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 informationWave Phenomena Physics 15c. Lecture 19 Diffraction
Wave Phenomena Physics 15c Lecture 19 Diffraction What We Did Last Time Studied interference > waves overlap Amplitudes add up Intensity = (amplitude) does not add up Thin-film interference Reflectivity
More informationCOHERENCE AND INTERFERENCE
COHERENCE AND INTERFERENCE - An interference experiment makes use of coherent waves. The phase shift (Δφ tot ) between the two coherent waves that interfere at any point of screen (where one observes the
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 informationLECTURE 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 informationNew topic: Diffraction only one slit, but wide. From Last time. Huygen s principle. Overlapping diffraction patterns. Diffraction from other objects
New topic: Diffraction only one slit, but wide From Last time Two-source interference: Interference-like pattern from a single slit. For a slit: a θ central width ~ 2 Diffraction grating Week3HW on Mastering
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 informationDiffraction is the bending of waves around small obstacles and the spreading out of waves past small openings
Diffraction Diffraction is the bending of waves around small obstacles and the spreading out of waves past small openings Diffraction by Pinhead When λ the opening, max diffraction occurs When λ < opening
More informationLab 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 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 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 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 informationPhysics 2102 Jonathan Dowling. Lecture 29. Ch. 36: Diffraction
Physics 2102 Jonathan Dowling Lecture 29 Ch. 36: Diffraction Things You Should Learn from This Lecture 1. When light passes through a small slit, is spreads out and produces a diffraction pattern, showing
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 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 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 informationWaves & 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 informationTo determine the wavelength of laser light using single slit diffraction
9 To determine the wavelength of laser light using single slit diffraction pattern 91 Apparatus: Helium-Neon laser or diode laser, a single slit with adjustable aperture width, optical detector and power
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 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 informationmywbut.com Diffraction
Diffraction If an opaque obstacle (or aperture) is placed between a source of light and screen, a sufficiently distinct shadow of opaque (or an illuminated aperture) is obtained on the screen.this shows
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. 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 informationDEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS
DEVIL PHYSICS THE BADDEST CLASS ON CAMPUS IB PHYSICS TSOKOS LESSON 9-2 SINGLE-SLIT DIFFRACTION Essential Idea: Single-slit diffraction occurs when a wave is incident upon a slit of approximately the same
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 informationThe sources must be coherent. This means they emit waves with a constant phase with respect to each other.
CH. 24 Wave Optics 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.
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 informationBasic optics. Geometrical optics and images Interference Diffraction Diffraction integral. we use simple models that say a lot! more rigorous approach
Basic optics Geometrical optics and images Interference Diffraction Diffraction integral we use simple models that say a lot! more rigorous approach Basic optics Geometrical optics and images Interference
More informationLECTURE 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 informationPhysics 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 information14 Chapter. Interference and Diffraction
14 Chapter Interference and Diffraction 14.1 Superposition of Waves... 14-14.1.1 Interference Conditions for Light Sources... 14-4 14. Young s Double-Slit Experiment... 14-4 Example 14.1: Double-Slit Experiment...
More informationDIFFRACTION 4.1 DIFFRACTION Difference between Interference and Diffraction Classification Of Diffraction Phenomena
4.1 DIFFRACTION Suppose a light wave incident on a slit AB of sufficient width b, as shown in Figure 1. According to concept of rectilinear propagation of light the region A B on the screen should be uniformly
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 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 information