A unified view of DI- and ETD-FDTD methods for drude media

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URI: https://hdl.handle.net/10902/26950
ISSN: 0018-926X
ISSN: 1558-2221
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Autoría
Pereda Fernández, José AntonioAutoridad Unican; Grande Sáez, Ana María
Fecha
2022-08
Derechos
© 2022 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 Transactions on Antennas and Propagation, 2022, 70(8), 7334-7337
Editorial
Institute of Electrical and Electronics Engineers Inc.
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Palabras clave
Direct-integration methods
Drude media
Exponential-time-differencing methods
Finite-difference time-domain method
Graphene
Plasma
Resumen/Abstract
A unified view of direct-integration (DI) and exponential-time-differencing (ETD) methods to incorporate Drude media, such as isotropic plasma and microwave graphene, into finite-difference time-domain (FDTD) simulators is provided. To this end, the Drude constitutive relation is expressed in integral form and the DI integrators are obtained by applying quadrature rules. Analogously, the ETD integrators are obtained by starting from the variation of constants formula and applying the same quadrature rules as in the DI case. This approach allows one to directly compare the two families of methods. In addition, the accuracy of each integrator is discussed and the stability condition of the resulting FDTD schemes is derived in exact closed form by applying the von Neumann method.
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