학술논문

Direct Computation of the PEC Body of Revolution Modal Green Function for the Electric Field Integral Equation
Document Type
Periodical
Source
IEEE Journal on Multiscale and Multiphysics Computational Techniques IEEE J. Multiscale Multiphys. Comput. Tech. Multiscale and Multiphysics Computational Techniques, IEEE Journal on. 7:186-194 2022
Subject
Engineered Materials, Dielectrics and Plasmas
Fields, Waves and Electromagnetics
Components, Circuits, Devices and Systems
Computing and Processing
Scattering
Integral equations
Green's function methods
Geometry
Matrix decomposition
Kernel
Indexes
Electric field integral equation
Recurrence relation
Body of revolution
Modal Green function
Singularity extraction
Language
ISSN
2379-8815
2379-8793
Abstract
We propose a five-term recurrence relation for the direct computation of the modal Green function (MGF) arising in the electric field integral equations (EFIE), when solving the scattering of PEC bodies of revolution. It is shown that, by considering it as an infinite penta-diagonal matrix, the proposed five-term recurrence relation can be solved in a stable manner in $O(M)$ steps for $M$ modes with high and controllable accuracy. By evaluating the performance of the proposed five-term recurrence relation for several scatterers of different geometries, we show that the proposed approach enables an accurate computation with a simple algorithm.