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Numerical dispersion relation for the 2D LOD-FDTD method in lossy media

Abstract: A closed-form expression is derived for the numerical dispersion relation of the 2-D locally one-dimensional finite-difference time-domain (LOD-FDTD) method in lossy media. In contrast to the lossless formulation, we found that transverse-electric (TEz ) and transverse-magnetic (TMz ) waves in lossy media exhibit different numerical dispersion relations. Moreover, when the material relaxation-time constant is not well resolved by the integration time-step, the TMz case shows much worse accuracy than the TEz case. To remove this limitation, a split-field LOD-FDTD formulation for TMz waves is then considered, which exhibits the same dispersion relation as the LOD-FDTD method for TEz waves. The validity of the theoretical results is illustrated through numerical simulations.

 Autoría: Pereda J., Grande A.,

 Fuente: IEEE Antennas and Wireless Propagation Letters, 2017, 16, 2122-2125

Editorial: Institute of Electrical and Electronics Engineers Inc.

 Fecha de publicación: 28/04/2017

Nº de páginas: 4

Tipo de publicación: Artículo de Revista

 DOI: 10.1109/LAWP.2017.2699692

ISSN: 1536-1225,1548-5757

 Proyecto español: TEC2014-55463-C3-2-P ; TEC2014-55463-C3-3-P

Url de la publicación: https://doi.org/10.1109/LAWP.2017.2699692