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CG‐FFT algorithm for EM scattering by small dielectric particles with high permittivity and permeability
Author(s) -
Zhao Lei,
Cui Tie Jun
Publication year - 2007
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.22116
Subject(s) - fast fourier transform , permittivity , dielectric , scattering , microwave , fourier transform , conjugate gradient method , permeability (electromagnetism) , materials science , mathematics , algorithm , mathematical analysis , physics , computational physics , optics , chemistry , optoelectronics , quantum mechanics , biochemistry , membrane
We have proposed a fast algorithm to study the electromagnetic (EM) scattering problems involving three‐dimensional dielectric targets with inhomogeneous permittivity and permeability. Based on the volume equivalence principle, coupled volume integral equations are derived for the equivalent electric and magnetic current densities. Such integral equations are then solved using the conjugate gradient method combined with the fast Fourier transform (FFT), where the memory requirement is of the order N ‐ the number of unknowns and the computational complexity is of the order N log N. The accuracy and efficiency of the proposed algorithm are verified by comparing numerical results with analytical results from the Mie series for dielectric spheres. We have applied the algorithm to investigate the EM scattering by small dielectric particles with high permittivity and permeability, which may be important to realize the artificial left‐handed materials. © 2006 Wiley Periodicals, Inc. Microwave Opt Technol Lett 49: 305–310, 2007; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.22116