ADI-FDTD modeling of Tellegen media

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URI: http://hdl.handle.net/10902/10030
ISSN: 1536-1225
ISSN: 1548-5757
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Autoría
Grande Sáez, Ana María; Pereda Fernández, José AntonioAutoridad Unican
Fecha
2014-07
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© 2014 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, 2014, 13, 1529-1532
Editorial
Institute of Electrical and Electronics Engineers Inc.
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Palabras clave
Alternating-direction implicit finite-difference time-domain method (ADI-FDTD)
Tellegen media
Bi-isotropic media
Unconditionally stable
Resumen/Abstract
The magnetoelectric coupling that appears in the constitutive relations of Tellegen media makes formulating unconditionally stable finite-difference time-domain (FDTD) extensions a challenging problem. In this letter, we present an alternating-direction implicit (ADI)-FDTD approach for modeling transient wave propagation in Tellegen media. In the proposed formulation, the discretization of the governing equations is performed introducing weighted average parameters. The numerical features are then carefully examined and the weighted discretization parameters conveniently chosen to yield an unconditionally stable scheme. Moreover, the resulting approach presents second-order accuracy and preserves the tridiagonal structure of the data matrices. Finally, the numerical dispersion relation is given in a closed form. The new method has been validated by means of numerical experiments and has shown good agreement.
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