Studies of some issues in solving surface integral equations and the equivalence principle algorithm

This thesis describes the progressive development analysis of the equivalence principle algorithm (EPA) beginning with the development of various operators that constitute it. We begin with the formulation for the electric field integral equation (EFIE), and visit the necessary treatment of the magnetic field integral equation (MFIE), the combined field integral equation (CFIE), and the Poggio-Miller-Chu-Harrington- Wu-Tsai (PMCHWT) along with various singularity extraction schemes before we develop the EPA relations. The explicit expressions of the translation operators are also derived. The EFIE, the MFIE, and the CFIE formulations are used to verify the accuracy of such operators as the L, the K, the nX L, and the n XK operators that are at the heart of the EPA formulation. Very detailed derivations and analyses of these operators with proper scaling factors are included to avoid the inaccuracy due to iterative solvers. Later we provide pertinent results for all of them for verification and comparison.

Name thesis:degree_name

M.S.

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Electrical & Computer Engr

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2014

Author dc:creator

• Sarker, Palash

Contributors dc:contributor

• Chew, Weng Cho

• Equivalence principle algorithm (EPA)
• equivalence principle operator (EPO)
• radar cross section (RCS)
• translation operator (TO)
• tap
• vertical-vertical (VV)

Statement dc:rights

• Copyright 2013 Palash Sarker

Language dc:language

en

Handle dc:identifier

http://hdl.handle.net/2142/46863

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/46863