Theoretical and numerical studies of wave propagation and scattering in inhomogeneous media

Using the path-integral technique, an analytical expression of the three-dimensional Green's function for the background inhomogeneous medium with the linear refractive index profile is obtained. The technique is extended to treat the three-dimensional and range-dependent media with or without turning points. Two analytical expressions of the Green's functions are also obtained for such media. For a line source in the medium with the linear sound speed profile, the analytical expression of the Green's function is simply obtained using a mathematical identity.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Electrical and Computer Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Li, Yuan-Liang

Contributors dc:contributor

• Liu, C.H.

• Engineering, Electronics and Electrical

Statement dc:rights

• Copyright 1991 Li, Yuan-Liang

Language dc:language

eng

Identifier

AAI9210892
(UMI)AAI9210892

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/19962