Fast solution of volume–surface integral equation for scattering from composite conducting-dielectric targets using multilevel fast dipole method

Authors:
Xinlei Chen;Changqing Gu;Zhenyi Niu;Zhuo Li
Affiliations:
College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, People's Republic of China;College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, People's Republic of China;College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, People's Republic of China;College of Electronic and Information Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, People's Republic of China
Venue:
International Journal of RF and Microwave Computer-Aided Engineering
Year:
2012

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Abstract

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 Rα (α = 1, −1, −2, −3) and R̂R̂ 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. © 2012 Wiley Periodicals, Inc.