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Fast solution of volume–surface integral equation for scattering from composite conducting‐dielectric targets using multilevel fast dipole method
Author(s) -
Chen Xinlei,
Gu Changqing,
Niu Zhenyi,
Li Zhuo
Publication year - 2012
Publication title -
international journal of rf and microwave computer‐aided engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.335
H-Index - 39
eISSN - 1099-047X
pISSN - 1096-4290
DOI - 10.1002/mmce.20620
Subject(s) - dipole , method of moments (probability theory) , dielectric , moment (physics) , scattering , integral equation , basis function , mathematical analysis , mathematics , physics , optics , quantum mechanics , statistics , estimator
This article presents a fast solution to the volume–surface integral equation for electromagnetic scattering from three‐dimensional (3D) targets comprising both conductors and dielectric materials by using the multilevel fast dipole method (MLFDM). This scheme is based on the concept of equivalent dipole‐moment method (EDM) that views the Rao–Wilton–Glisson and the Schaubert–Wilton–Glisson basis functions as dipole models with equivalent dipole moments. In the MLFDM, a simple Taylor's series expansion of the terms R α (α = 1, −1, −2, −3) and R̂ R̂ in the formulation of the EDM transforms the interaction between two equivalent dipoles into an aggregation–translation–disaggregation form naturally. Furthermore, benefiting from the multilevel grouping scheme, the matrix‐vector product can be accelerated and the memory cost is reduced remarkably. Simulation results are presented to demonstrate the efficiency and accuracy of this method. © 2012 Wiley Periodicals, Inc. Int J RF and Microwave CAE, 2012.