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

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URI: http://hdl.handle.net/10902/13018
ISSN: 1536-1225
ISSN: 1548-5757
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Autoría
Pereda Fernández, José AntonioAutoridad Unican; Grande Sáez, Ana María
Fecha
2017-04-28
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© 2017 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Publicado en
IEEE Antennas and Wireless Propagation Letters, 2017, 16, 2122-2125
Editorial
Institute of Electrical and Electronics Engineers Inc.
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Palabras clave
Locally-one-dimensional finite-difference time-domain (LODFDTD) method
Lossy media
Numerical dispersion
Resumen/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.
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