A split step approach for the 3-D Maxwell's equations

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• 作者：Lee ; Jongwoo ; Fornberg ; Bengt
• 关键词：FDTD ; Maxwell's equations ; Split-step
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2003
• 出版时间：September 15, 2003
• 年：2003
• 卷：158
• 期：2
• 页码：485-505
• 全文大小：515 K

文摘

Split-step procedures have previously been used successfully in a number of situations, e.g. for Hamiltonian systems, such as certain nonlinear wave equations. In this study, we note that one particular way to write the 3-D Maxwell's equations separates these into two parts, requiring only the solution of six uncoupled 1-D wave equations. The approach allows arbitrary orders of accuracy in both time and space, and features in many cases unconditional stability.