Young Fourier III & Ψ.

Slides:



Advertisements
Similar presentations
Diffraction Light bends! Diffraction assumptions Solution to Maxwell's Equations The far-field Fraunhofer Diffraction Some examples.
Advertisements

Chapter 35 Diffraction and Polarization n67.jpg issue320/images/ jpg.
Fourier Series Eng. Ahmed H. Abo absa. Slide number 2 Fourier Series & The Fourier Transform Fourier Series & The Fourier Transform What is the Fourier.
1 Fraunhofer Diffraction Wed. Nov. 20, Kirchoff integral theorem This gives the value of disturbance at P in terms of values on surface  enclosing.
1 Diffraction. 2 Diffraction theory (10.4 Hecht) We will first develop a formalism that will describe the propagation of a wave – that is develop a mathematical.
Evan Walsh Mentors: Ivan Bazarov and David Sagan August 13, 2010.
Review of waves T = period = time of one cycle  = 2  f = angular frequency = number of radians per second t Waves in time: f = 1/T =  /2  = frequency.
IVA. Electromagnetic Waves and Optics
Diffraction Physics 202 Professor Lee Carkner Lecture 26.
Motion Field and Optical Flow. Outline Motion Field and Optical Flow Definition, Example, Relation Optical Flow Constraint Equation Assumptions & Derivation,
Electromagnetic Waves Electromagnetic waves are identical to mechanical waves with the exception that they do not require a medium for transmission.
Aperture Antennas INEL 5305 Prof. Sandra Cruz-Pol ECE, UPRM Ref. Balanis Chpt. 12.
The single slit interference pattern and the double slit interference pattern that are observed are actually due to diffraction as well as interference.
SCPY152 General Physics II June 19, 2015 Udom Robkob, Physics-MUSC
Polarization, Diffraction and Interference Behavior of Waves Essential Knowledge 6.A.1: Waves can propagate via different oscillation modes such as transverse.
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.
Principal maxima become sharper Increases the contrast between the principal maxima and the subsidiary maxima GRATINGS: Why Add More Slits?
Optoelectronic Systems Lab., Dept. of Mechatronic Tech., NTNU Dr. Gao-Wei Chang 1 Chap 6 Frequency analysis of optical imaging systems.
Goal: To understand light Objectives: 1)To learn about the Properties of light 2)To learn about Diffraction 3)To learn about Polarization 4)To learn how.
Chapter 38: Diffraction and Polarization  For a single opening in a barrier, we might expect that a plane wave (light beam) would produce a bright spot.
Resolution Limits for Single-Slits and Circular Apertures  Single source  Two sources.
Image Quality –Which Metric Should I Choose? Jed Hancock Optical Sciences 521.
35. Diffraction and Image Formation
1 Waves 10 Lecture 10 Wave propagation. D Aims: ëFraunhofer diffraction (waves in the “far field”). > Young’s double slits > Three slits > N slits and.
1 Fraunhofer Diffraction: Single, multiple slit(s) & Circular aperture Fri. Nov. 22, 2002.
Wave nature of light Light is an electromagnetic wave. EM waves are those waves in which there are sinusoidal variation of electric and magnetic fields.
Fundamental of Optical Engineering Lecture 5.  Diffraction is any behavior of light which deviates from predictions of geometrical optics.  We are concerned.
Lens to interferometer Suppose the small boxes are very small, then the phase shift Introduced by the lens is constant across the box and the same on both.
Diffraction (6.161 Lab3) Tony Hyun Kim 10/21/2008.
11.3 – Single slit diffraction
Ray Theory of Light n A simple theory of light uses rays as a representation of how light behaves. n This theory is very useful in describing how lenses.
Fourier transforms One-dimensional transforms Complex exponential representation:  Fourier transform   Inverse Fourier transform  In.
Problem: Obtain intensity formula by integration f.
PHYS 408 Applied Optics (Lecture 19) JAN-APRIL 2016 EDITION JEFF YOUNG AMPEL RM 113.
ECE 3323 Principles of Communication Systems Section 3.2 Fourier Transform Properties 1.
Fresnel diffraction formulae
Chapter 8 Diffraction (1) Fraunhofer diffraction
PHYS 408 Applied Optics (Lecture 20) JAN-APRIL 2016 EDITION JEFF YOUNG AMPEL RM 113.
Diffraction Light bends! History of diffraction
Chapter 11 Fourier optics
If a single slit diffracts, what about a double slit?
Lens Equation ( < 0 ).
Diffraction Light bends! History of diffraction
PHYS 408 Applied Optics (Lecture 21)
Fraunhofer Diffraction: Multiple slits & Circular aperture
Planes in Space.
van Cittert-Zernike Theorem
Judge last week: “Pi is not copyrightable”
Young’s double slit experiment & Spatial coherence of light
Announcements 3/28/12 Prayer Exam review problems for sign-up
Diffraction and the Fourier Transform
Young’s Double Slit Experiment.
If a single slit diffracts, what about a double slit?
Young’s double slit experiment & Spatial coherence of light
THEORY OF DIFFRACTION.
Young’s Double Slit Experiment.
Quiz_02 Interference pattern and intensity
Announcements 3/23/12 Prayer
Diffraction P47 – Optics: Unit 7.
Diffraction.
PHYS 408 Applied Optics (Lecture 18)
PHYS 408 Applied Optics (Lecture 20)
Scalar theory of diffraction
PHYS 408 Applied Optics (Lecture 21)
Modern Observational/Instrumentation Techniques Astronomy 500
Properties of Waves Diffraction.
8th Grade: Chapter 6 TRANSFORMATIONS
PHYS 408 Applied Optics (Lecture 19)
Presentation transcript:

Young Fourier III & Ψ

Young’s Experiment Say lookin 4 equation 4 diffraction pattern

Fourier Transform What is it?

Application of Fourier Goals: Find function describing intensity of light on image plane I=E2 Have mixtape go platinum

Things You Should Know…

Rectx function

Sinc function

A Property of Fourier funkycoolalgebraicshiftproperty

The 2-Slit Aperture Plane

Young Derivation =Electric Field

Intro Young’s Experiment Fourier Transform Applications of Fourier Things You Should Know (Interlude) Rectx Function Sinc Function A Property of Fourier The 2-Slit Aperture Plane Young Derivation Diffraction Pattern (feat. Mathematica)