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A frequency-dependent finite-difference time-domain formulation for general dispersive media

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3 Author(s)
Gandhi, O.P. ; Dept. of Electr. Eng., Utah Univ., Salt Lake City, UT, USA ; Gao, B.-Q. ; Chen, Jin-Yuan

A weakness of the finite-difference-time-domain (FDTD) method is that dispersion of the dielectric properties of the scattering/absorbing body is often ignored and frequency-independent properties are generally taken. While this is not a disadvantage for CW or narrowband irradiation, the results thus obtained may be highly erroneous for short pulses where ultrawide bandwidths are involved. In some recent publications, procedures based on a convolution integral describing D(t) in terms of E(t) are given for media for which the complex permittivity ∈*(ω) may be described by a single-order Debye relaxation equation or a modified version thereof. Procedures are, however, needed for general dispersive media for which ∈*(ω) and μ*(ω) may be expressible in terms of rational functions, or for human tissues for which multiterm Debye relaxation equations must generally be used. The authors describe a new differential equation approach, which can be used for general dispersive media. In this method D(t) in terms of E(t) by means of a differential equation involving E, and their time derivatives. The method is illustrated for several examples

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Microwave Theory and Techniques, IEEE Transactions on  (Volume:41 ,  Issue: 4 )