A Novel Symplectic Multi-Resolution Time-Domain Scheme for Electromagnetic Simulations

Author

Min Wei ; ZhiXiang Huang ; Bo Wu ; Xianliang Wu ; Hui Wang

Author_Institution

Key Lab. of Intell. Comput. & Signal Process., Anhui Univ., Hefei, China

Volume

23

Issue

4

fYear

2013

fDate

41365

Firstpage

175

Lastpage

177

Abstract

A symplectic scheme is applied to the multi-resolution time-domain (MRTD) method, resulting in a highly stable novel symplectic MRTD scheme. First, the time-domain Maxwell´s equations are rewritten as a matrix equation. Then, we discretize the Maxwell´s equations in the time direction using symplectic propagation integrator (SPI) technique and evaluate the equations in the spatial direction with high order spatial multi-resolution approximation to construct novel symplectic MRTD scheme. The stability and numerical dispersion analysis are also included. Numerical results are given to show the high efficiency and accuracy of the method.

Keywords

Maxwell equations; dispersion (wave); electromagnetic wave propagation; matrix algebra; time-domain analysis; SPI technique; electromagnetic simulation; high order spatial multiresolution approximation; matrix equation; numerical dispersion analysis; stability analysis; symplectic MRTD scheme; symplectic multiresolution time-domain scheme; symplectic propagation integrator; time direction; time-domain Maxwell equation; Dispersion; Numerical stability; Power system stability; Stability criteria; Thermal stability; Time-domain analysis; Energy Conservation; long-term simulation; multi-resolution time-domain (MRTD); symplectic integrator;

fLanguage

English

Journal_Title

Microwave and Wireless Components Letters, IEEE

Publisher

ieee

ISSN

1531-1309

Type

jour

DOI

10.1109/LMWC.2013.2247990

Filename

6477184