Theory and applications of scattering and inverse scattering problems

Two algorithms based on the recursive operator algorithm are proposed to solve for the scattered field from an arbitrarily shaped, inhomogeneous scatterer. By discretizing the object into N subobjects, the scattering solution of an arbitrarily shaped inhomogeneous scatterer can be formulated as a scattering solution of an N-scatterer problem, each of whose scattered fields is approximated by M harmonics. Using the translation formulas, a recursive approach is developed which enables us to derive an n + 1-scatterer solution from an n-scatterer solution. Therefore, knowing the isolated transition matrices for all subscatterers, the total transition matrices for an N-scatterer problem can be obtained recursively. The computation time of such an algorithm is proportional to $N\sp2M\sp2P$, where P is the number of harmonics used in the translation formulas. Furthermore, by introducing an aggregate transition matrix to the recursive scheme, a fast algorithm, whose computational complexity is linear in N, is developed. The algorithm has been used to solve for the scattering solution of a 10$\lambda$ diameter, two-dimensional dielectric scatterer with about 12,000 unknowns, taking 32 sec on a CRAY-2 supercomputer.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Electrical Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Wang, Yi-Ming

Contributors dc:contributor

• Chew, Weng Cho

• Engineering, Electronics and Electrical

Statement dc:rights

• Copyright 1991 Wang, Yi-Ming

Language dc:language

eng

Identifier

AAI9124502
(UMI)AAI9124502

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/20988