Title page for ETD etd-02132009-172038


Type of Document Master's Thesis
Author Kim, Jeong-Han
URN etd-02132009-172038
Title Optical display of the Airy function and transient wave propagation in a dispersive medium
Degree Master of Science
Department Electrical Engineering
Advisory Committee
Advisor Name Title
Poon, Ting-Chung Committee Chair
Besieris, Ioannis M. Committee Member
Indebetouw, Guy J. Committee Member
Keywords
  • Fourier transformation
  • FFT
  • dispersion relation
  • diffraction
  • intensity variation
Date of Defense 1996-05-15
Availability restricted
Abstract

The display of an Airy function via an optical image processing technique is demonstrated. Using a two-dimensional object with a cubic amplitude transmittance, one can observe a Fourier transformed image of which intensity variation is identical to that of the Airy function. A lens system is used to achieve the Fourier transformation of the object which is a two-dimensional binary filter. A set of computer simulations are performed prior to the optical experiments.

Using the same method of optical display, the transient wave propagation in a dispersive medium is optically displayed based on the analogous relationship found between two equations: One is the Fourier form of a transient wave field propagating in a dispersive medium and the other is an equation of the diffraction pattern of an object constructed with two juxtaposed two-dimensional filters. A theoretical analysis is provided along with computer simulations. The use of a Spatial Light Modulator is proposed as the source of the input object in the optical experiment.

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