Finite-difference time-domain simulation of wave transmission through space-time-varying media
Finite-difference time-domain simulation of wave transmission through space-time-varying media
We present a comprehensive tutorial on the finite-difference time-domain (FDTD) modeling of space, time and space-time-varying media, building upon our previous review by offering a detailed, step-by-step guide for numerical simulations. This manuscript emphasizes practical computational methodologies and examines the dynamic behavior of both TE and TM electromagnetic fields under oblique incidence on space-time-modulated gratings, in which electrical permittivity, magnetic permeability, and conductivity vary in both space and time. The paper details the derivation of the FDTD schemes—including the Courant-Friedrichs-Lewy (CFL) stability condition, explicit formulations for TE and TM wave illuminations, and the implementation of appropriate boundary conditions. In addition, we extend the FDTD framework to incorporate nonlinear effects, thereby broadening its applicability to advanced applications in wireless communications, quantum technologies, and radars. Engaging illustrative examples are provided to demonstrate the versatility and practical relevance of the approach.
physics.optics, physics.app-ph
Taravati, Sajjad
0026f25d-c919-4273-b956-8fe9795b31ce
Kishk, Ahmed A.
07e319d7-6a6d-4f10-9656-4cb11e63e25c
Eleftheriades, George V.
280bbae6-32df-4af5-bcad-110f38ad72e7
Taravati, Sajjad
0026f25d-c919-4273-b956-8fe9795b31ce
Kishk, Ahmed A.
07e319d7-6a6d-4f10-9656-4cb11e63e25c
Eleftheriades, George V.
280bbae6-32df-4af5-bcad-110f38ad72e7
Taravati, Sajjad, Kishk, Ahmed A. and Eleftheriades, George V.
(2025)
Finite-difference time-domain simulation of wave transmission through space-time-varying media.
IEEE Antennas and Propagation Magazine.
(doi:10.48550/arXiv.2409.19923).
(In Press)
Abstract
We present a comprehensive tutorial on the finite-difference time-domain (FDTD) modeling of space, time and space-time-varying media, building upon our previous review by offering a detailed, step-by-step guide for numerical simulations. This manuscript emphasizes practical computational methodologies and examines the dynamic behavior of both TE and TM electromagnetic fields under oblique incidence on space-time-modulated gratings, in which electrical permittivity, magnetic permeability, and conductivity vary in both space and time. The paper details the derivation of the FDTD schemes—including the Courant-Friedrichs-Lewy (CFL) stability condition, explicit formulations for TE and TM wave illuminations, and the implementation of appropriate boundary conditions. In addition, we extend the FDTD framework to incorporate nonlinear effects, thereby broadening its applicability to advanced applications in wireless communications, quantum technologies, and radars. Engaging illustrative examples are provided to demonstrate the versatility and practical relevance of the approach.
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2409.19923v1
- Author's Original
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2409.19923v2
- Accepted Manuscript
More information
Submitted date: 30 September 2024
Accepted/In Press date: 30 March 2025
Keywords:
physics.optics, physics.app-ph
Identifiers
Local EPrints ID: 495596
URI: http://eprints.soton.ac.uk/id/eprint/495596
ISSN: 1045-9243
PURE UUID: 51b3e1cc-8b8a-4b20-a843-59a5be3d8578
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Date deposited: 19 Nov 2024 17:34
Last modified: 23 Apr 2025 02:10
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Contributors
Author:
Sajjad Taravati
Author:
Ahmed A. Kishk
Author:
George V. Eleftheriades
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