Abstract
In this paper we present a Transmission Line Matrix (TLM) algorithm for the simulation of electromagnetic wave interaction with a Debye dispersive medium. This new formulation is based on the use of the polarization currents in the medium. The auxiliary differential equation (ADE) method is considered to deal with dispersion after the classical discretization. The accuracy and efficiency of this approach were tested on 1D Debye medium by calculating the reflection coefficient on an air-dielectric interface. The potential of the developed algorithm to model the existence of tumors in a human breast is also demonstrated. The obtained results compared with the analytic model show a good agreement. The number of operations needed for each iteration has been reduced, hence the computational time in comparison with time convolution techniques, while maintaining a comparable numerical accuracy.
Highlights
I N In the last two decades, the interest in modeling and simulating electromagnetic wave propagation in dispersive media has considerably grown, fostered by the fact that many materials exhibit frequency dependent electromagnetic properties like polymers, dielectric fluids and more recently of particular interest are biological tissues. Modelling such media by means of time domain numerical methods implies incorporating the dispesive effect to the formulation
The numerical solutions proposed for modeling such dispersive media could be grouped in three main categories: recursive convolution methods based on a recursive computation of a convolution integral between the frequencydependent susceptibility and the electric field [1] [2], the Z-transform method [3] [4], and the auxiliary differential equation method (ADE) [5]
Association of the ADE method with previous cited techniques was prooven to be efficient for dealing with Drude critical point model [11]
Summary
I N In the last two decades, the interest in modeling and simulating electromagnetic wave propagation in dispersive media has considerably grown, fostered by the fact that many materials exhibit frequency dependent electromagnetic properties like polymers, dielectric fluids and more recently of particular interest are biological tissues. Modelling such media by means of time domain numerical methods implies incorporating the dispesive effect to the formulation. The numerical results are compared to those obtained by the analytic model
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