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A 3D perfectly matched medium from modified maxwell's equations with stretched coordinates
Author(s) -
Chew Weng Cho,
Weedon William H.
Publication year - 1994
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.4650071304
Subject(s) - maxwell's equations , finite difference time domain method , cartesian coordinate system , perfectly matched layer , computation , reflection (computer programming) , boundary value problem , finite difference method , electromagnetic field solver , scattering matrix method , coordinate system , mathematical analysis , cylindrical coordinate system , inhomogeneous electromagnetic wave equation , physics , computer science , mathematics , geometry , optics , electromagnetic field , algorithm , programming language , quantum mechanics , optical field
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. © 1994 John Wiley & Sons, Inc.