ANALYSIS OF FDTD TO UPML FOR MAXWELL EQUATIONS IN POLAR COORDINATES

doi:10.1016/S0252-9602(11)60378-0

摘要/Abstract

摘要：

An FDTD system associated with uniaxial perfectly matched layer (UPML) for an electromagnetic scattering problem in two-dimensional space in polar coordinates is considered. Particularly the FDTD system of an initial-boundary value problems of the
transverse magnetic (TM) mode to Maxwell’s equations is obtained by Yee’s algorithm, and the open domain of the scattering problem is truncated by a circle with a UPML. Besides, an artificial boundary condition is imposed on the outer boundary of the UPML.
Afterwards, stability of the FDTD system on the truncated domain is established through energy estimates by the Gronwall inequality. Numerical experiments are designed to ap-prove the theoretical analysis.

关键词: Maxwell’s equations, uniaxial perfectly matched layer, initial boundary value problem, stability, finite difference time domain, polar coordinates

Abstract:

Key words: Maxwell’s equations, uniaxial perfectly matched layer, initial boundary value problem, stability, finite difference time domain, polar coordinates

中图分类号:

65M12

方能胜, 应龙安. ANALYSIS OF FDTD TO UPML FOR MAXWELL EQUATIONS IN POLAR COORDINATES[J]. 数学物理学报(英文版), 2011, 31(5): 2007-2032.

FANG Neng-Sheng, YING Long-An. ANALYSIS OF FDTD TO UPML FOR MAXWELL EQUATIONS IN POLAR COORDINATES[J]. Acta mathematica scientia,Series B, 2011, 31(5): 2007-2032.

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