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
If this is your thesis or dissertation, and want to learn how to access it or for more information about readership statistics, contact us at STARS@ucf.edu
Graduation Date
1974
Advisor
Phillips, Ronald L.
Degree
Master of Science (M.S.)
College
College of Engineering
Format
Pages
58 p.
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
STARS Citation
Waterhouse, Daniel F., "An Application of Hamilton's Principle to Diffraction of Light by Ultrasound" (1974). Retrospective Theses and Dissertations. 133.
https://stars.library.ucf.edu/rtd/133
Contributor (Linked data)
Phillips, Ronald L., 1942- [VIAF]
Phillips, Ronald L., 1942- [LC]
University of Central Florida. College of Engineering [VIAF]
Collection (Linked data)
Accessibility Status
Searchable text