Decomposition methods for time-domain Maxwell's equations

作者：Huang, Zhi-Xiang^*; Sha, Wei E. I.; Wu, Xian-Liang; Chen, Ming-Sheng

来源：International Journal for Numerical Methods in Fluids, 2008, 56(9): 1695-1704.

DOI：10.1002/fld.1569

• decomposition
• split operators
• Hamiltonian function
• Maxwell's equations

Decomposition methods based on split operators are proposed for numerical integration of the time-domain Maxwell's equations for the first time. The methods are obtained by splitting the Hamiltonian function of Maxwell's equations into two analytically computable exponential sub-propagators in the time direction based on different order decomposition methods, and then the equations are evaluated in the spatial direction by the staggered fourth-order finite-difference approximations. The stability and numerical dispersion analysis for different order decomposition methods are also presented. The theoretical predictions are confirmed by our numerical results.

• 出版日期2008-3-30
• 单位安徽大学