Optical display of the Airy function and transient wave propagation in a dispersive medium

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.

Name thesis:degree_name

Master of Science

Level thesis:degree_level

masters

Discipline thesis:degree_discipline

Electrical Engineering

Department dc:contributor.department

Electrical Engineering

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

1996

Author dc:creator

• Kim, Jeong-Han

Chair dc:contributor.committeechair

• Poon, Ting-Chung

Committee members dc:contributor.committeemember

• Besieris, Ioannis M.
• Indebetouw, Guy J.

• Fourier transformation
• FFT
• dispersion relation
• diffraction
• intensity variation

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Language dc:language.iso

en

Dc Identifier Other

etd-02132009-172038

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/41069