Keywords

Diffraction, Geometrical optics, Ultrasonic waves

Abstract

A covariant form of Hamilton's Principle of Stationary Action is formulated and used to solve the general eiconal equation describing the wave function of light in a medium carrying ultrasound. Tensor notation is reviewed and the tensor form of Maxwell's equations is developed. Boundary equation that the field quantities must satisfy in order for the variation of Hamilton's action integral to be stationary are determined and used to form the generalized eiconal equation of geometrical optics. The rays are introduced and through a canonical transformation the eiconal for the diffracted medium is solved and plotted.

Notes

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Graduation Date

1974

Advisor

Phillips, Ronald L.

Degree

Master of Science (M.S.)

College

College of Engineering

Format

PDF

Pages

iv, 58 pages

Language

English

Rights

Public Domain

Length of Campus-only Access

None

Access Status

Masters Thesis (Open Access)

Identifier

DP0012659

Subjects

Diffraction, Geometrical optics, Ultrasonic waves

Collection (Linked data)

Retrospective Theses and Dissertations

Included in

Engineering Commons

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