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Wave-splitting and absorbing boundary condition for Maxwell's equations on a curved surface |
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| Authors: | Sailing He and Vaughan H. Weston |
| Affiliation: | a State Key Laboratory of Modern Optical Instrumentation, Centre for Optical and Electromagnetic Research, Zhejiang University, Yuquan, 310027 Hangzhou, PR China b Department of Electromagnetic Theory, Royal Institute of Technology, S-100 44, Stockholm Sweden c Department of Mathematics, Purdue University, West Lafayette, IN 47907, USA |
| Abstract: | Wave-splitting of Maxwell's equations on a curved surface in three-dimension is derived from the conditions for out-going and in-coming waves. The condition for out-going wave is used to derive an absorbing boundary condition on a non-planar surface. A local approximation of the absorbing boundary condition is given. As a special case, a spherical absorbing boundary which truncates the computational domain is also considered in detail. |
| Keywords: | Absorbing boundary condition Maxwell's equations Three-dimension Curved surface Wave-splitting |
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