A Simple FDTD Algorithm for Simulating EM-Wave Propagation in General Dispersive Anisotropic Material

Al-Jabr, A. A.; Alsunaidi, M. A.; Ng, Tien Khee; Ooi, Boon S.

doi:10.1109/tap.2012.2227447

Cited by 27 publications

(12 citation statements)

References 17 publications

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“…Since the case is just an extension to the previously reported algorithm The FDTD reflection coefficients agree with analytical coefficients as reported in [8]. To check on the dynamic gain, we have verification of an anisotropic gain medium having the following form.…”

Section: Verificationsupporting

confidence: 61%

“…In this work, the problem of many variables is solved without extra equations and without matrices and thus this is the first algorithm that simulates light propagation in dynamic anisotropic medium. Previously, we introduced an algorithm for dispersive material [6] and then extended it to deal with lasing material [7] and anisotropic material [8]. In this paper, the algorithm is extended further to handle lasing material with anisotropic dynamic gain.…”

Section: Introductionmentioning

confidence: 99%

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An FDTD algorithm for simulating light propagation in anisotropic dynamic gain media

et al. 2014

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Simulating light propagation in anisotropic dynamic gain media such as semiconductors and solid-state lasers using the finite difference time-domain FDTD technique is a tedious process, as many variables need to be evaluated in the same instant of time. The algorithm has to take care of the laser dynamic gain, rate equations, anisotropy and dispersion. In this paper, to the best of our knowledge, we present the first algorithm that solves this problem. The algorithm is based on separating calculations into independent layers and hence solving each problem in a layer of calculations. The anisotropic gain medium is presented and tested using a one-dimensional setup. The algorithm is then used for the analysis of a two-dimensional problem.

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Section: Verificationsupporting

confidence: 61%

Section: Introductionmentioning

confidence: 99%

An FDTD algorithm for simulating light propagation in anisotropic dynamic gain media

et al. 2014

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“…x and E n1 y are obtained after solving the 2 × 2 system of linear equations of (33) and (35). The FDTD update equations of E n1…”

Section: B Modeling Of Liquid Crystalsmentioning

confidence: 99%

“…In the context of FDTD studies, several algorithms for wave propagation in media that exhibit both anisotropy and dispersive tensor elements have been proposed and implemented, indicatively, via recursive convolution (RC) [31], piecewise linear recursive convolution (PLRC) [32], z-transform [33,34], and auxiliary differential equation (ADE) [35] formulations. In these works, the permittivity tensors of the simulated materials, typically magnetized plasma and ferrites, exhibit dispersion types incapable of describing the frequency dependence of LC tensor elements and, hence, they are not suitable for the numerical investigation of LC-based photonic or plasmonic devices.…”

Section: Introductionmentioning

confidence: 99%

Rigorous broadband investigation of liquid-crystal plasmonic structures using finite-difference time-domain dispersive-anisotropic models

2013

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A finite-difference time-domain scheme is proposed for the rigorous study of liquid-crystal photonic and plasmonic structures. The model takes into account the full-tensor liquid-crystal anisotropy as well as the permittivity dispersion of all materials involved. Isotropic materials are modeled via a generalized critical points model, while the dispersion of the liquid-crystal indices is described by Lorentzian terms. The validity of the proposed scheme is verified via a series of examples, ranging from transmission through liquid-crystal waveplates and cholesteric slabs to the plasmonic response of arrays of gold nanostripes with a liquid-crystal overlayer and the dispersive properties of metal-liquid-crystal-metal plasmonic waveguides. Results are directly compared with reference analytical or frequency-domain numerical solutions.

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“…So when a structure involves two or more types of dispersive media, the numerical scheme will become quite complicated. Several FDTD algorithms suitable for general dispersive materials have been reported in , which can readily deal with different types of dispersive media. These algorithms are based on conventional FDTD scheme, so their computational efficiency is compromised by the Courant–Friedrich–Lewy (CFL) stability limit, especially when the structures under consideration have geometrical fine features.…”

Section: Introductionmentioning

confidence: 99%

ADE‐WCS‐FDTD method for general dispersive materials and PML implementation

Feng

Chen

Zhao

et al. 2014

Micro & Optical Tech Letters

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An auxiliary differential equation (ADE) based weakly conditionally stable finite‐difference time‐domain (FDTD) method is presented for analysis of wave propagation in general hybrid dispersive materials. The perfectly matched layer is implemented in this novel scheme. Larger time step can be used and hence higher computational efficiency is obtained in this approach, as compared to conventional ADE‐FDTD method. Two numerical examples are included to verify the performances of the proposed algorithm. © 2014 Wiley Periodicals, Inc. Microwave Opt Technol Lett 56:2489–2495, 2014

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A Simple FDTD Algorithm for Simulating EM-Wave Propagation in General Dispersive Anisotropic Material

Cited by 27 publications

References 17 publications

An FDTD algorithm for simulating light propagation in anisotropic dynamic gain media

An FDTD algorithm for simulating light propagation in anisotropic dynamic gain media

Rigorous broadband investigation of liquid-crystal plasmonic structures using finite-difference time-domain dispersive-anisotropic models

ADE‐WCS‐FDTD method for general dispersive materials and PML implementation

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