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FDTD modeling of wave propagation in dispersive media by using the Mobius transformation technique

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3 Author(s)
Pereda, J.A. ; Departamento de Ingenieria de Comunicaciones, Cantabria Univ., Santander, Spain ; Vegas, A. ; Prieto, A.

This paper introduces a technique for finite-difference time-domain modeling of wave propagation in general Mth-order dispersive media. Ohm's law in the Laplace domain with an Mth-order rational model for the complex conductivity is considered as a constitutive relation. In order to discretize this model, the complex conductivity is mapped onto the Z-transform domain by means of the Mobius transformation. This leads finally to a set of difference equations that is consistent with Yee's scheme. The resulting formulation is explicit, it has a second-order accuracy, and the need for additional storage variables is minimal. The numerical stability problem is discussed and the numerical dispersion equation for Mth-order media is given

Published in:

Microwave Theory and Techniques, IEEE Transactions on  (Volume:50 ,  Issue: 7 )

Date of Publication:

Jul 2002

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