A 3D PERFECTLY MATCHED MEDIUM FROM MODIFIED MAXWELLS EQUATIONS WITH STRETCHED COORDINATES

A 3D PERFECTLY MATCHED MEDIUM FROM MODIFIED MAXWELLS EQUATIONS WITH STRETCHED COORDINATES
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DOI:
10.1002/mop.4650071304
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发表时间:
1994-09-01
影响因子:
1.5
通讯作者:
WEEDON, WH
WEEDON, WH
中科院分区:
工程技术4区
文献类型:
--
作者:
CHEW, WC;WEEDON, WH

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提出了一组修正的麦克斯韦方程组,其中包括沿沿着三个笛卡尔坐标的复坐标拉伸。在修改后的麦克斯韦方程中增加的自由度允许在所有入射角和所有频率下具有零反射的吸收边界的规格。修正后的方程也与最近提出的二维波传播的完全匹配层有关。在单指令多数据(SIMD)大规模并行超级计算机上进行时域有限差分(FDTD)计算时,吸收材料边界条件特别重要。基于修正的麦克斯韦方程组,在CM-5连接机上实现了三维FDTD算法,并给出了仿真结果。(C)John Wiley & Sons,Inc.
A modified set of Maxwell's equations is presented that includes complex coordinate stretching along the three Cartesian coordinates. The added degrees of freedom in the modified Maxwell's equations allow the specification of absorbing boundaries with zero reflection at all angles of incidence and all frequencies. The modified equations are also related to the perfectly matched layer that was presented recently for 2D wave propagation. Absorbing-material boundary conditions are of particular interest for finite-difference time-domain (FDTD) computations on a single-instruction multiple-data (SIMD) massively parallel supercomputer. A 3D FDTD algorithm has been developed on a connection machine CM-5 based on the modified Maxwell's equations and simulation results are presented to validate the approach. (C) 1994 John Wiley & Sons, Inc.