A Quasi-3D thin-stratified medium fast-multipole algorithm for microstrip structures

Jie L. Xiong; Yongpin Chen; Weng Cho Chew

doi:10.1109/TAP.2011.2152324

A Quasi-3D thin-stratified medium fast-multipole algorithm for microstrip structures

Jie L. Xiong, Yongpin Chen, Weng Cho Chew

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

An accurate and efficient full-wave simulation method is proposed for general microstrip structures. It is called the quasi-3D thin-stratified medium fast-multipole algorithm (TSM-FMA). Different from the 2D TSM-FMA method, it is constructed on a vector wave function based dyadic Green's function for layered medium (DGLM) instead of the symmetric form DGLM. This new form of DGLM is represented in terms of only two Sommerfeld integrals and is suitable for developing fast algorithm in quasi-3D cases. Similar to the 2D TSM-FMA, the path deformation technique and the multipole-based acceleration is used to transform the Sommerfeld integral and expedite the matrix-vector multiplication. The computational time per iteration and the memory requirement is O(N\log N)in the quasi-3D TSM-FMA. It is suitable to perform a full-wave analysis of a large microstrip array with less computational resource.

Original language	English (US)
Article number	5765441
Pages (from-to)	2578-2587
Number of pages	10
Journal	IEEE Transactions on Antennas and Propagation
Volume	59
Issue number	7
DOIs	https://doi.org/10.1109/TAP.2011.2152324
State	Published - Jul 1 2011

Keywords

Fast-algorithm
Green's function
layered-medium

ASJC Scopus subject areas

Electrical and Electronic Engineering

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title = "A Quasi-3D thin-stratified medium fast-multipole algorithm for microstrip structures",

abstract = "An accurate and efficient full-wave simulation method is proposed for general microstrip structures. It is called the quasi-3D thin-stratified medium fast-multipole algorithm (TSM-FMA). Different from the 2D TSM-FMA method, it is constructed on a vector wave function based dyadic Green's function for layered medium (DGLM) instead of the symmetric form DGLM. This new form of DGLM is represented in terms of only two Sommerfeld integrals and is suitable for developing fast algorithm in quasi-3D cases. Similar to the 2D TSM-FMA, the path deformation technique and the multipole-based acceleration is used to transform the Sommerfeld integral and expedite the matrix-vector multiplication. The computational time per iteration and the memory requirement is O(N\log N)in the quasi-3D TSM-FMA. It is suitable to perform a full-wave analysis of a large microstrip array with less computational resource.",

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AU - Chew, Weng Cho

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N2 - An accurate and efficient full-wave simulation method is proposed for general microstrip structures. It is called the quasi-3D thin-stratified medium fast-multipole algorithm (TSM-FMA). Different from the 2D TSM-FMA method, it is constructed on a vector wave function based dyadic Green's function for layered medium (DGLM) instead of the symmetric form DGLM. This new form of DGLM is represented in terms of only two Sommerfeld integrals and is suitable for developing fast algorithm in quasi-3D cases. Similar to the 2D TSM-FMA, the path deformation technique and the multipole-based acceleration is used to transform the Sommerfeld integral and expedite the matrix-vector multiplication. The computational time per iteration and the memory requirement is O(N\log N)in the quasi-3D TSM-FMA. It is suitable to perform a full-wave analysis of a large microstrip array with less computational resource.

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