1996
DOI: 10.1109/22.556447
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On the application of finite methods in time domain to anisotropic dielectric waveguides

Abstract: This paper presents some general ideas for the conin dielectric anisotropic waveguides. The goal is to facilitate the development of different finite schemes through the extension of &he time-domain (FDTD) method to study anisotropic media. Some of these schemes are particularized and applied to the simulation of the propagation of electromagnetic waves through planar dielectric anisotropic waveguides. the use of symbolic programs such as Mathematica. Section section v particularizes the results of Section 111… Show more

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Cited by 45 publications
(26 citation statements)
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“…For isotropic media, this algorithm runs independently in 1D for each set of {E y , H z } and {E z , H y } field components. Its generalization to slabs with anisotropic conductivity is straightforward, for instance by combining difference and average operators as in [34]. It can also extended to deal with dispersive media, for instance by employing the auxiliary differential equation technique as in [35].…”
Section: B Subgridding Boundary Conditionmentioning
confidence: 99%
“…For isotropic media, this algorithm runs independently in 1D for each set of {E y , H z } and {E z , H y } field components. Its generalization to slabs with anisotropic conductivity is straightforward, for instance by combining difference and average operators as in [34]. It can also extended to deal with dispersive media, for instance by employing the auxiliary differential equation technique as in [35].…”
Section: B Subgridding Boundary Conditionmentioning
confidence: 99%
“…This algorithm assumes that in the mesh cells containing boundaries between regions with two different values of dielectric constants (ε 1 = ε 2 ) the effective dielectric constants are computed and these values are next used to update the ε r matrix. In the analysis of ferrite materials the scheme presented in [27] is applied. In this scheme the mean and centered differentiation operator are combined together to utilize only the fields defined in Yee's grid.…”
Section: Fdfd/mom Approachmentioning
confidence: 99%
“…Let us consider a LAM for which Maxwell's rotational equations in the frequency domain are (5) where is the real and symmetrical dielectric tensor of the medium.…”
Section: The Pml Problemmentioning
confidence: 99%
“…The finite-difference time-domain (FDTD) method, with an alternative scheme for anisotropic media [4], [5], is used to simulate the problem and to obtain the numerical reflection coefficient.…”
Section: Introductionmentioning
confidence: 99%