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International Journal of Antennas and Propagation
Volume 2018, Article ID 1612498, 6 pages
https://doi.org/10.1155/2018/1612498
Research Article

Efficient and Memory Saving Method Based on Pseudoskeleton Approximation for Analysis of Finite Periodic Structures

State Key Laboratory of CAD&CG, Zhejiang University, Hangzhou 310058, China

Correspondence should be addressed to Hai Lin; nc.ude.ujz.dac@nil

Received 5 April 2018; Revised 11 June 2018; Accepted 24 June 2018; Published 22 July 2018

Academic Editor: Paolo Baccarelli

Copyright © 2018 Chunbei Luo 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.

Abstract

An efficient and memory saving method based on pseudoskeleton approximation (PSA) is presented for the effective and accurate analysis of finite periodic structures. Different from the macro basis function analysis model, our proposed method uses the formulations derived by the local Rao-Wilton-Glisson basis functions. PSA is not only used to accelerate the matrix-vector product (MVP) inside the single unit but also adopted to decrease the calculation burden of the coupling between the different cells. Moreover, the number of decomposed coupling matrices is minimized due to the displacement invariance of the periodic property. Consequently, even compared with the multilevel fast multipole algorithm (MLFMA), the new method saves much more memory resources and computation time, which is also demonstrated by the numerical examples.