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

Sarker, Palash

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Description

Title

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

Author(s)

Sarker, Palash

Issue Date

2014-01-16T18:19:02Z

Director of Research (if dissertation) or Advisor (if thesis)

Chew, Weng Cho

Department of Study

Electrical & Computer Eng

Discipline

Electrical & Computer Engr

Degree Granting Institution

University of Illinois at Urbana-Champaign

Degree Name

M.S.

Degree Level

Thesis

Keyword(s)

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

Abstract

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.

Graduation Semester

2013-12

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Copyright 2013 Palash Sarker

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