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Systematic wave-equation finite difference time domain formulations for modeling electromagnetic wave-propagation in general linear and nonlinear dispersive materials

Omar Ramadan ()
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Omar Ramadan: Computer Engineering Department, Eastern Mediterranean University, GaziMagusa, Mersin 10, Turkey

International Journal of Modern Physics C (IJMPC), 2015, vol. 26, issue 04, 1-15

Abstract: In this paper, systematic wave-equation finite difference time domain (WE-FDTD) formulations are presented for modeling electromagnetic wave-propagation in linear and nonlinear dispersive materials. In the proposed formulations, the complex conjugate pole residue (CCPR) pairs model is adopted in deriving a unified dispersive WE-FDTD algorithm that allows modeling different dispersive materials, such as Debye, Drude and Lorentz, in the same manner with the minimal additional auxiliary variables. Moreover, the proposed formulations are incorporated with the wave-equation perfectly matched layer (WE-PML) to construct a material independent mesh truncating technique that can be used for modeling general frequency-dependent open region problems. Several numerical examples involving linear and nonlinear dispersive materials are included to show the validity of the proposed formulations.

Keywords: Finite difference time domain; wave-equation; Kerr–Raman nonlinear effect; dispersive media; perfectly matched layer; negative index metamaterials (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1142/S0129183115500461

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