Stability analysis of FDTD to UPML for time dependent Maxwell equations |
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Authors: | NengSheng Fang Lung-An Ying |
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Institution: | (1) School of Finance, Southwestern University of Finance and Economics, Chengdu, 610074, China;(2) School of Mathematical Sciences, Xiamen University, Xiamen, 361005, China;(3) School of Mathematical Sciences, Peking University, Beijing, 100871, China |
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Abstract: | We study an finite-difference time-domain (FDTD) system of uniaxial perfectly matched layer (UPML) method for electromagnetic
scattering problems. Particularly we analyze the discrete initial-boundary value problems of the transverse magnetic mode
(TM) to Maxwell’s equations with Yee’s algorithm. An exterior domain in two spacial dimension is truncated by a square with
a perfectly matched layer filled by a certain artificial medium. Besides, an artificial boundary condition is imposed on the
outer boundary of the UPML. Using energy method, we obtain the stability of this FDTD system on the truncated domain. Numerical
experiments are designed to approve the theoretical analysis.
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Keywords: | Maxwell’ s equations uniaxial perfectly matched layer initial-boundary value problem stability FDTD |
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