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JOURNALS // Preprints of the Keldysh Institute of Applied Mathematics // Archive

Keldysh Institute preprints, 2009 028, 20 pp. (Mi ipmp299)

The code for effective 3D modeling of electormagnetic waves' evolution in actual electrodynamics problems

A. V. Zakirov, V. D. Levchenko


Abstract: In the work the implementation of algorithm is offered for Maxwell's equations' numerical modeling with Finite-difference time-domain method in the bounded area with different types of boundary conditions includind Perfectly Matched Layer (PML). For method of cell rounding (sequence of calculations) the Local-recursive nonlocal-anisochronous algorithm (LRnLA) is used, which makes possible to reach the high rate of program's effectiveness and full parallelization. It is developed the methods for modeling of the following media: the simple undispersion materials, the media with dispersion described by Drude model. Conductors and the Negative Index Media (NIM, same as LHM) are under this model too.

Keywords: Maxwell equations, Finite-difference time-domain method, Local-recursive nonlocal-anisochronous algorithm, Perfectly matched layer, effective algorithms, Drude model, metamaterials, photonic crystals, Left-handed materials, Negative Index Media.

UDC: 519.688



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