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International Journal of Antennas and Propagation
Volume 2015 (2015), Article ID 274307, 7 pages
Research Article

Integral Equation Analysis of EM Scattering from Multilayered Metallic Photonic Crystal Accelerated with Adaptive Cross Approximation

1Electromagnetic Laboratory, Communication University of China, Beijing 100024, China
2Science and Technology on Electromagnetic Scattering Laboratory, Beijing 100854, China
3Department of Computer and Electronics Engineering, University of Nebraska-Lincoln, Lincoln, NE 68182, USA
4Institute of Lightwave Technology, Beijing Jiaotong University, Beijing 100044, China

Received 6 March 2015; Accepted 8 July 2015

Academic Editor: Luis Landesa

Copyright © 2015 Jianxun Su et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A space-domain integral equation method accelerated with adaptive cross approximation (ACA) is presented for the fast and accurate analysis of electromagnetic (EM) scattering from multilayered metallic photonic crystal (MPC). The method directly solves for the electric field in order to easily enable the periodic boundary condition (PBC) in the spatial domain. The ACA is a purely algebraic method allowing the compression of fully populated matrices; hence, its formulation and implementation are independent of integral equation kernel (Green’s function). Therefore, the ACA is very well suited for accelerating integral equation analysis of periodic structure with the integral kernel of the periodic Green’s function (PGF). The computation of the spatial-domain periodic Green’s function (PGF) is accelerated by the modified Ewald transformation, such that the multilayered periodic structure can be analyzed efficiently and accurately. An effective interpolation method is also proposed to fast compute the periodic Green’s function, which can greatly reduce the time of matrix filling. Numerical examples show that the proposed method can greatly save the frequency sweep time for multilayered periodic structure.