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Analysis of transient wave propagation in an arbitrary frequency‐dispersive media using the associated laguerre functions in the FDTD‐MOD method
Author(s) -
Jung Baek Ho,
Mei Zicong,
Sarkar Tapan Kumar,
SalazarPalma Magdalena
Publication year - 2012
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.26696
Subject(s) - finite difference time domain method , laguerre polynomials , lorentz transformation , debye , mathematics , mathematical analysis , transient (computer programming) , helmholtz equation , finite difference method , electromagnetic pulse , galerkin method , wave propagation , physics , computer science , finite element method , optics , classical mechanics , quantum mechanics , thermodynamics , boundary value problem , operating system
In this work, we present a marching‐on‐in‐degree (MOD) method in a finite difference time‐domain (FDTD) framework for analyzing transient electromagnetic responses in a general dispersive media.The two issues related to the finite difference approximation of the time derivatives and the time‐consuming convolution operations are handled analytically using the properties of the associated Laguerre functions. The basic idea here is that we fit the transient nature of the fields, the flux densities, the permittivity and the permeability with a finite sum of orthogonal associated Laguerre functions. Through this novel approach, not only the time variable can be decoupled analytically from the temporal variations but also the final computational form of the equations is transformed from FDTD to a FD formulation through a Galerkin testing. We also propose a second MOD formulation based on the Helmholtz wave equation. Representative numerical examples are presented for transient wave propagation in general Debye, Drude, or a Lorentz dispersive medium. © 2012 Wiley Periodicals, Inc. Microwave Opt Technol Lett 54:925–930, 2012; View this article online at wileyonlinelibrary.com. DOI 10.1002/mop.26696