Astronomical spectrographs. ASTR320 Wednesday February 20, 2019

Size: px
Start display at page:

Download "Astronomical spectrographs. ASTR320 Wednesday February 20, 2019"

Transcription

1 Astronomical spectrographs ASTR320 Wednesday February 20, 2019

2 Spectrographs A spectrograph is an instrument used to form a spectrum of an object Much higher spectral resolutions than possible with multiband imaging A typical spectrograph has the following parts: Entrance aperture, slit-shaped or fiber-fed (round) Optical system to collimate diverging light; make rays parallel so that all rays approach dispersing device at same angle Dispersing device (e.g., prism or diffraction grating) Camera to focus the image of the dispersed light onto a detector (photographic plate, CCD)

3 Spectrographs

4 Dispersing element Can be a prism, etalon, grating, or grism We ll talk about reflective diffraction gratings as an example

5 Diffraction grating Based on the concept of diffraction with multiple slits: By increasing the number of equal slits (in spacing and width) into the beam, we narrow the width of the individual peaks As the number of slits is increased to large numbers, we can make the peaks arbitrarily narrow Thus, by increasing the number of slits we can arbitrarily set the resolution, or the narrowness of the lines

6 Diffraction grating When coupled with the fact that the locations of the sets of peaks shift as a function of wavelength, you can see that the ability to discriminate or resolve different wavelengths directly depends on the number of slits, and the interference order, m. Portion of the image structure for a single bichromatic point source viewed through several slits. From Kitchin's Astrophysical Techniques. Thus, one can increase the wavelength resolution by: increasing the number of slits the beam "sees" (i.e., decreasing the groove or slit spacing, d, which is the same as increasing the number of grooves or slits per inch). increasing the interference order, m, that you choose to observe.

7 Reflection grating Basically a large number of long, very very thin parallel mirrors Made by scoring a piece of glass with many fine, parallel, closely spaced grooves or slits (~ several x 10 3 or more per inch) that act to make multislit diffraction patterns, one diffraction pattern for each wavelength

8 Reflection grating The grating as a whole acts as a mirror, but is convoluted with the diffracting effect of all of the parallel reflecting lines For a given grating line density, diffraction order, and angle α of collimated input, each wavelength has a unique diffraction angle β: m = d(sinα + sinβ) This separates the wavelengths to produce the spectrum recorded by the spectrograph

9 The grating equation Same as diffraction/interference equation, except now consider two pathlengths, the incoming and outgoing rays, which together must have a combined pathlength difference that is an integer multiple of the wavelength in order to create a maximum (and a half-integer multiple for a minimum): m = d(sinα + sinβ) Where d = space between adjacent grooves or slits α = angle of incidence of collimated beam to grating. β = angle of emergence of a ray of certain wavelength from the grating. λ = wavelength m = order of interference (most commonly a small number) = number assigned to each fringe in the diffraction pattern

10 Long slit spectrograph The most basic type of spectrograph Slit is used to block light from everything except for the object of interest (not a diffractive slit!)

11 Long slit spectrograph

12 GMOS/Gemini mask design software Multi-object spectrographs Clever instrument design can enable observation of hundreds of objects in a single exposure SDSS plug plate

13 GMACS for GMT: multi-object spectroscopy

14 GMACS optical layout

15 GMACS design concept

16 Cross-dispersed echelle spectrographs

17 G-CLEF High Resolution Spectrograph High Resolution Spectrograph and Precision Doppler Spectrometer Smithsonian Astrophysical Observatory R = 50, ,000 Spectrograph Core Science: PRV, Exoplanet Spectra, Abundances, IGM/ICM

18 Maunakea Spectroscopic Explorer: Massively multiplexed spectroscopy

19 MSE low-resolution spectrographs Low-resolution spectrographs High-resolution spectrographs

20 MSE high-resolution spectrographs Low-resolution spectrographs High-resolution spectrographs

21 MSE fiber positioners Fiber positioners MSE focal plane

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

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

More information

Simple Spectrograph. grating. slit. camera lens. collimator. primary

Simple Spectrograph. grating. slit. camera lens. collimator. primary Simple Spectrograph slit grating camera lens collimator primary Notes: 1) For ease of sketching, this shows a transmissive system (refracting telescope, transmission grating). Most telescopes use a reflecting

More information

Optics Vac Work MT 2008

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

More information

Control of Light. Emmett Ientilucci Digital Imaging and Remote Sensing Laboratory Chester F. Carlson Center for Imaging Science 8 May 2007

Control of Light. Emmett Ientilucci Digital Imaging and Remote Sensing Laboratory Chester F. Carlson Center for Imaging Science 8 May 2007 Control of Light Emmett Ientilucci Digital Imaging and Remote Sensing Laboratory Chester F. Carlson Center for Imaging Science 8 May 007 Spectro-radiometry Spectral Considerations Chromatic dispersion

More information

Chemistry Instrumental Analysis Lecture 6. Chem 4631

Chemistry Instrumental Analysis Lecture 6. Chem 4631 Chemistry 4631 Instrumental Analysis Lecture 6 UV to IR Components of Optical Basic components of spectroscopic instruments: stable source of radiant energy transparent container to hold sample device

More information

Spectrometers: Monochromators / Slits

Spectrometers: Monochromators / Slits Spectrometers: Monochromators / Slits Monochromator Characteristics Dispersion: The separation, or wavelength selectivity, of a monochromator is dependent on its dispersion. Angular Dispersion: The change

More information

Lenses lens equation (for a thin lens) = (η η ) f r 1 r 2

Lenses lens equation (for a thin lens) = (η η ) f r 1 r 2 Lenses lens equation (for a thin lens) 1 1 1 ---- = (η η ) ------ - ------ f r 1 r 2 Where object o f = focal length η = refractive index of lens material η = refractive index of adjacent material r 1

More information

Interference of Light

Interference 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 information

University Physics (Prof. David Flory) Chapt_37 Monday, August 06, 2007

University 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

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

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

More information

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

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

More information

Spectrographs. Chapter The spectrograph

Spectrographs. Chapter The spectrograph Chapter 6 Spectrographs In this chapter, the basic principles of spectrograph design are reviewed. Both low order (low resolution) and high order (high resolution echelle configurations) are presented.

More information

Tutorial Solutions. 10 Holographic Applications Holographic Zone-Plate

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

More information

DIFFRACTION 4.1 DIFFRACTION Difference between Interference and Diffraction Classification Of Diffraction Phenomena

DIFFRACTION 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 information

Review Session 1. Dr. Flera Rizatdinova

Review 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 information

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

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

More information

Final 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 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 information

Interference of Light

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

More information

CHAPTER 26 INTERFERENCE AND DIFFRACTION

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

More information

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

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

More information

AP* Optics Free Response Questions

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

More information

Instytut Fizyki Doświadczalnej Wydział Matematyki, Fizyki i Informatyki UNIWERSYTET GDAŃSKI

Instytut Fizyki Doświadczalnej Wydział Matematyki, Fizyki i Informatyki UNIWERSYTET GDAŃSKI Instytut Fizyki Doświadczalnej Wydział Matematyki, Fizyki i Informatyki UNIWERSYTET GDAŃSKI I. Background theory. 1. Characteristics of the apparatus: prismatic, grating, interferometers. 2. Operating

More information

Wave Optics. April 11, 2014 Chapter 34 1

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

More information

Introduction to Diffraction Gratings

Introduction to Diffraction Gratings Introduction to Diffraction Diffraction (Ruled and Holographic) Diffraction gratings can be divided into two basic categories: holographic and ruled. A ruled grating is produced by physically forming grooves

More information

College Physics 150. Chapter 25 Interference and Diffraction

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

More information

Fresnel's biprism and mirrors

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

More information

Lab 7 Interference and diffraction

Lab 7 Interference and diffraction Prep this lab, as usual. You may paste this entire lab into your notebook, including the data tables. All this should be completed prior to the start of lab on Wednesday, and I will score your completed

More information

Michelson Interferometer

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

More information

Understanding and selecting diffraction gratings

Understanding and selecting diffraction gratings Understanding and selecting diffraction gratings Diffraction gratings are used in a variety of applications where light needs to be spectrally split, including engineering, communications, chemistry, physics

More information

2. THE PHYSICS OF DIFFRACTION GRATINGS

2. THE PHYSICS OF DIFFRACTION GRATINGS Diffraction Grating Handbook - Chapter 1 2. THE PHYSICS OF DIFFRACTION GRATINGS PREVIOUS CHAPTER NEXT CHAPTER Copyright 2002, Thermo RGL, All Rights Reserved TABLE OF CONTENTS 2.1. THE GRATING EQUATION

More information

Chapter 10 DIFFRACTION GRADING SAFETY NOTES

Chapter 10 DIFFRACTION GRADING SAFETY NOTES Chapter 10 DIFFRACTION GRADING SAFETY NOTES Do not look directly into the laser cavity, or at any reflections of the laser caused by shiny surfaces. Keep beam at bench level so as not to accidentally shine

More information

Second Year Optics 2017 Problem Set 1

Second Year Optics 2017 Problem Set 1 Second Year Optics 2017 Problem Set 1 Q1 (Revision of first year material): Two long slits of negligible width, separated by a distance d are illuminated by monochromatic light of wavelength λ from a point

More information

Chapter 36. Diffraction. Dr. Armen Kocharian

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

More information

(Fiber-optic Reosc Echelle Spectrograph of Catania Observatory)

(Fiber-optic Reosc Echelle Spectrograph of Catania Observatory) (Fiber-optic Reosc Echelle Spectrograph of Catania Observatory) The echelle spectrograph delivered by REOSC (France), was designed to work at the F/15 cassegrain focus of the 91-cm telescope. The spectrograph

More information

Intermediate Physics PHYS102

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

More information

specular diffuse reflection.

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

More information

Spectrograph overview:

Spectrograph overview: High performance measurement systems Monochromator Family Gilden Photonics offers a range of integrated optical wavelength solutions in customized designs, OEM design, manufacturing and value added resell

More information

Optical Modeling and Analysis of a High Throughput and High Temporal Resolution. Spectrometer. Raz Rivlis. Brighton High School. Rochester, New York

Optical Modeling and Analysis of a High Throughput and High Temporal Resolution. Spectrometer. Raz Rivlis. Brighton High School. Rochester, New York 1 Optical Modeling and Analysis of a High Throughput and High Temporal Resolution Spectrometer Raz Rivlis Brighton High School Rochester, New York Adviser: Robert Boni Laboratory for Laser Energetics University

More information

UNIT 102-9: INTERFERENCE AND DIFFRACTION

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

More information

The liquid s index of refraction is. v liquid = nm = = 460 nm 1.38

The liquid s index of refraction is. v liquid = nm = = 460 nm 1.38 HMWK 5 Ch 17: P 6, 11, 30, 31, 34, 42, 50, 56, 58, 60 Ch 18: P 7, 16, 22, 27, 28, 30, 51, 52, 59, 61 Ch. 17 P17.6. Prepare: The laser beam is an electromagnetic wave that travels with the speed of light.

More information

Ray Optics. Lecture 23. Chapter 23. Physics II. Course website:

Ray 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 information

Physics 214 Midterm Fall 2003 Form A

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

More information

NIRSpec Technical Note NTN / ESA-JWST-TN Author(s): G. Giardino Date of Issue: November 11, 2013 Version: 1.0

NIRSpec Technical Note NTN / ESA-JWST-TN Author(s): G. Giardino Date of Issue: November 11, 2013 Version: 1.0 NIRSpec Technical Note NTN-013-011/ ESA-JWST-TN-093 Author(s): G. Giardino Date of Issue: November 11, 013 Version: 1.0 estec European Space Research and Technology Centre Keplerlaan 1 01 AZ Noordwijk

More information

Winmeen Tnpsc Group 1 & 2 Self Preparation Course Physics UNIT 9. Ray Optics. surface at the point of incidence, all lie in the same plane.

Winmeen Tnpsc Group 1 & 2 Self Preparation Course Physics UNIT 9. Ray Optics. surface at the point of incidence, all lie in the same plane. Laws of reflection Physics UNIT 9 Ray Optics The incident ray, the reflected ray and the normal drawn to the reflecting surface at the point of incidence, all lie in the same plane. The angle of incidence

More information

Chapter 24 - The Wave Nature of Light

Chapter 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 information

Interference. 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. 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 information

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

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

More information

LECTURE 14 PHASORS & GRATINGS. Instructor: Kazumi Tolich

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

More information

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

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

More information

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

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

More information

Chapter 38 Wave Optics (II)

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

More information

Class 34. Diffraction Grating. Adding sources. Adding sources. Adding sources, II. Adding sources, II. Adding slits

Class 34. Diffraction Grating. Adding sources. Adding sources. Adding sources, II. Adding sources, II. Adding slits Class Adding sources Diffraction Grating What happens to the interference pattern when we add more sources? Let's start by switching from two sources d apart to three sources d apart. Do we still get maxima

More information

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

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

More information

To see how a sharp edge or an aperture affect light. To analyze single-slit diffraction and calculate the intensity of the light

To 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 information

UNIT VI OPTICS ALL THE POSSIBLE FORMULAE

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

More information

195 mm Focal Length, nm, Echelle Spectrograph. Specifications. Wavelength range (nm) Focal length (mm) 195.

195 mm Focal Length, nm, Echelle Spectrograph. Specifications. Wavelength range (nm) Focal length (mm) 195. Hg-Ar spectrum Acquired with Mechelle 5000, 104 x 104 pixel Gen Andor istar and 10 µm slit width Spectroscopy Features and Benefits Compact and robust design with no moving components Ideal for non-lab

More information

Chapter 24 The Wave Nature of Light

Chapter 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 information

Throughput of an Optical Instrument II: Physical measurements, Source, Optics. Q4- Number of 500 nm photons per second generated at source

Throughput of an Optical Instrument II: Physical measurements, Source, Optics. Q4- Number of 500 nm photons per second generated at source Throughput of an Optical Instrument II: Physical measurements, Source, Optics Question- Value Q1- Percent output between 450-550 nm by mass Answer (w/ units) Q2- Energy in J of a 500 nm photon Q3- Flux

More information

PHY132 Introduction to Physics II Class 5 Outline:

PHY132 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 information

Waves & Oscillations

Waves & 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 information

Chapter 32 Light: Reflection and Refraction. Copyright 2009 Pearson Education, Inc.

Chapter 32 Light: Reflection and Refraction. Copyright 2009 Pearson Education, Inc. Chapter 32 Light: Reflection and Refraction Units of Chapter 32 The Ray Model of Light Reflection; Image Formation by a Plane Mirror Formation of Images by Spherical Mirrors Index of Refraction Refraction:

More information

Diffraction. Single-slit diffraction. Diffraction by a circular aperture. Chapter 38. In the forward direction, the intensity is maximal.

Diffraction. 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 information

The sources must be coherent. This means they emit waves with a constant phase with respect to each other.

The 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 information

Wave Phenomena Physics 15c. Lecture 19 Diffraction

Wave 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 information

Lecture 39. Chapter 37 Diffraction

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

More information

LED Evenement 2014 Spectroscopy - Straylight. Avantes BV Apeldoorn, The Netherlands

LED Evenement 2014 Spectroscopy - Straylight. Avantes BV Apeldoorn, The Netherlands LED Evenement 2014 Spectroscopy - Straylight Avantes BV Apeldoorn, The Netherlands Content: - Company - Spectroscopy - Spectrometer measuring light - Straylight - How to prevent - Why - conclusion Introduction

More information

Interference and Diffraction of Light

Interference 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 information

College Physics B - PHY2054C

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

More information

Diffraction: Propagation of wave based on Huygens s principle.

Diffraction: Propagation of wave based on Huygens s principle. Diffraction: In addition to interference, waves also exhibit another property diffraction, which is the bending of waves as they pass by some objects or through an aperture. The phenomenon of diffraction

More information

Understanding Fraunhofer Diffraction

Understanding Fraunhofer Diffraction [ Assignment View ] [ Eðlisfræði 2, vor 2007 36. Diffraction Assignment is due at 2:00am on Wednesday, January 17, 2007 Credit for problems submitted late will decrease to 0% after the deadline has passed.

More information

Chapter 4 - Diffraction

Chapter 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 information

EDUCATIONAL SPECTROPHOTOMETER ACCESSORY KIT AND EDUCATIONAL SPECTROPHOTOMETER SYSTEM

EDUCATIONAL SPECTROPHOTOMETER ACCESSORY KIT AND EDUCATIONAL SPECTROPHOTOMETER SYSTEM GAIN 0 Instruction Manual and Experiment Guide for the PASCO scientific Model OS-8537 and OS-8539 02-06575A 3/98 EDUCATIONAL SPECTROPHOTOMETER ACCESSORY KIT AND EDUCATIONAL SPECTROPHOTOMETER SYSTEM CI-6604A

More information

Which row could be correct for the colours seen at X, at Y and at Z?

Which row could be correct for the colours seen at X, at Y and at Z? 1 The ray diagram shows the image of an formed by a converging lens. converging lens image 50 cm What is the focal length of the lens? 40 cm 72 cm 40 cm 50 cm 72 cm 90 cm 2 The diagram shows the dispersion

More information

Chapter 36 Diffraction by C.-R. Hu

Chapter 36 Diffraction by C.-R. Hu Chapter 36 Diffraction by C.-R. Hu 1. Meaning of the term diffraction The term diffraction means that light does not simply travel in straight lines in a uniform medium, as the ray method seems to tell

More information

Condenser Optics for Dark Field X-Ray Microscopy

Condenser Optics for Dark Field X-Ray Microscopy Condenser Optics for Dark Field X-Ray Microscopy S. J. Pfauntsch, A. G. Michette, C. J. Buckley Centre for X-Ray Science, Department of Physics, King s College London, Strand, London WC2R 2LS, UK Abstract.

More information

PART IX. INSTRUMENTATION FOR THE SPECTRAL DISPERSION AND ISOLATION OF OPTICAL RADIATION (IUPAC

PART IX. INSTRUMENTATION FOR THE SPECTRAL DISPERSION AND ISOLATION OF OPTICAL RADIATION (IUPAC PART IX. INSTRUMENTATION FOR THE SPECTRAL DISPERSION AND ISOLATION OF OPTICAL RADIATION (IUPAC Recommendations 1995) (Originally prepared for publication by L.R.P. Butler and K. Laqua) 1 INTRODUCTION This

More information

Chapter 5 Example and Supplementary Problems

Chapter 5 Example and Supplementary Problems Chapter 5 Example and Supplementary Problems Single-Slit Diffraction: 1) A beam of monochromatic light (550 nm) is incident on a single slit. On a screen 3.0 meters away the distance from the central and

More information

Optical/NIR Spectroscopy A3130. John Wilson Univ of Virginia

Optical/NIR Spectroscopy A3130. John Wilson Univ of Virginia Optical/NIR Spectroscopy A3130 John Wilson Univ of Virginia Topics: Photometry is low resolution spectroscopy Uses of spectroscopy in astronomy Data cubes and dimensionality challenge Spectrograph design

More information

Chapter 38. Diffraction Patterns and Polarization

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

More information

Dr. Quantum. General Physics 2 Light as a Wave 1

Dr. 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 information

Optical Engineering. Course outline. Exercise: Selection of telescope

Optical Engineering. Course outline. Exercise: Selection of telescope Course outline 4. Optical Engineering Martina Gerken..007 Universität Karlsruhe (TH). Imaging optics. ight propagation across interfaces. Photography and optical lenses.3 Aberrations.4 Plane parallel plates

More information

Interference of Light

Interference 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 information

Chapter 36 Diffraction

Chapter 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 information

Unit 5.C Physical Optics Essential Fundamentals of Physical Optics

Unit 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 information

Waves & Oscillations

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

More information

25-1 Interference from Two Sources

25-1 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 information

arxiv: v1 [astro-ph.im] 2 May 2018

arxiv: v1 [astro-ph.im] 2 May 2018 Research in Astronomy and Astrophysics manuscript no. (L A TEX: ms-raa-- R.tex; printed on May, ; :) arxiv:.v [astro-ph.im] May Investigating the Efficiency of the Beijing Faint Object Spectrograph and

More information

LECTURE 12 INTERFERENCE OF LIGHT. Instructor: Kazumi Tolich

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

More information

Diffraction and Interference of Plane Light Waves

Diffraction and Interference of Plane Light Waves PHY 92 Diffraction and Interference of Plane Light Waves Diffraction and Interference of Plane Light Waves Introduction In this experiment you will become familiar with diffraction patterns created when

More information

Chapter 8: Physical Optics

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

More information

PH 222-3A Fall Diffraction Lectures Chapter 36 (Halliday/Resnick/Walker, Fundamentals of Physics 8 th edition)

PH 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 information

G3 TWO-SOURCE INTERFERENCE OF WAVES

G3 TWO-SOURCE INTERFERENCE OF WAVES G3 TWO-SOURCE INTERFERENCE OF WAVES G4 DIFFRACTION GRATINGS HW/Study Packet Required: READ Tsokos, pp 624-631 SL/HL Supplemental: Hamper, pp 424-428 DO Questions pp 631-632 #1,3,8,9,10 REMEMBER TO. Work

More information

Chapter 37. Wave Optics

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

More information

PHYS 3410/3411/6750/6751: Modern Optics Midterm #2

PHYS 3410/3411/6750/6751: Modern Optics Midterm #2 Name: PHYS 3410/3411/6750/6751: Modern Optics Midterm #2 Wednesday 17 November 2010 Prof. Bolton Only pen or pencil are allowed. No calculators or additional materials. PHYS 3410/3411/6750/6751 Midterm

More information

PHYS 1402 DIFFRACTION AND INTERFERENCE OF LIGHT: MEASURE THE WAVELENGTH OF LIGHT

PHYS 1402 DIFFRACTION AND INTERFERENCE OF LIGHT: MEASURE THE WAVELENGTH OF LIGHT PHYS 1402 DIFFRACTION AND INTERFERENCE OF LIGHT: MEASURE THE WAVELENGTH OF LIGHT I. OBJECTIVE The objective of this experiment is to observe the interference pattern from a double slit and a diffraction

More information

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 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 information

Slit Diffraction. 1. Drag the wavelength slider all the way to the left. We ll call this color violet. What s its wavelength?

Slit Diffraction. 1. Drag the wavelength slider all the way to the left. We ll call this color violet. What s its wavelength? Slit Diffraction KET Virtual Physics Labs Worksheet Lab 16-1 As you work through the steps in the lab procedure, record your experimental values and the results on this worksheet. Use the exact values

More information

Chapter 35 &36 Physical Optics

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

More information

Physics 123 Optics Review

Physics 123 Optics Review Physics 123 Optics Review I. Definitions & Facts concave converging convex diverging real image virtual image real object virtual object upright inverted dispersion nearsighted, farsighted near point,

More information

Diffraction 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 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 information