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

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

Sarker, Palash ; Chew ; Weng Cho

关键词: Equivalence principle algorithm (EPA);    equivalence principle operator (EPO);    radar cross section (RCS);    translation operator (TO);    tap;    vertical-vertical (VV);   

Others  :  https://www.ideals.illinois.edu/bitstream/handle/2142/46863/Palash_Sarker.pdf?sequence=1&isAllowed=y

美国|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 摘 要 】

This thesis describes the progressive development analysis of the equivalence principlealgorithm (EPA) beginning with the development of various operators that constituteit. We begin with the formulation for the electricfield integral equation (EFIE),and visit the necessary treatment of the magnetic field integral equation (MFIE),the combinedfield integral equation (CFIE), and the Poggio-Miller-Chu-Harrington-Wu-Tsai (PMCHWT) along with various singularity extraction schemes before wedevelop the EPA relations. The explicit expressions of the translation operators arealso derived. The EFIE, the MFIE, and the CFIE formulations are used to verify theaccuracy of such operators as the L, the K, the nX L, and the n XK operators thatare at the heart of the EPA formulation. Very detailed derivations and analyses ofthese operators with proper scaling factors are included to avoid the inaccuracy dueto iterative solvers. Later we provide pertinent results for all of them for verificationand comparison.