A high resolution nonstandard FDTD method for the TM mode of Maxwell's equations

Authors:
Silvia Jerez;Andres Lara
Affiliations:
-;-
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2011

Citing 4
Cited 0

Finite difference schemes and partial differential equations

Finite difference schemes and partial differential equations
A nearly exact second-order finite difference time-domain wave propagation algorithm on a coarse grid

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High accuracy solution of Maxwell's equations using nonstandard finite differences

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A new TVD flux-limiter method for solving nonlinear hyperbolic equations

Journal of Computational and Applied Mathematics

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Abstract

In this work, a high resolution nonstandard finite-difference time-domain method for the transverse magnetic (TM) mode of 2D-Maxwell's equations is derived. Stability and convergence analysis and numerical studies are presented for the proposed method. The accuracy of this numerical scheme is validated by simulating a light scattering cross-section by a perfectly-conducting circular cylinder.