Digital filtering techniques for use with the FDTD method

In recent years, the finite-difference time-domain (FDTD) method has been used to simulate a wide range of frequency dependent media. The accuracy of these simulations often depends on how accurately the complex dielectric constant is simulated in the sampled time domain used by FDTD. This paper describes the process of modelling the complex dielectric constant as a digital filtering problem and uses Z transforms to convert the frequency domain expression to a sampled time domain expression. Copyright © 1999 John Wiley & Sons, Ltd.

[1]  A. Taflove,et al.  Numerical Solution of Steady-State Electromagnetic Scattering Problems Using the Time-Dependent Maxwell's Equations , 1975 .

[2]  R. B. Standler,et al.  A frequency-dependent finite-difference time-domain formulation for dispersive materials , 1990 .

[3]  D. Sullivan,et al.  Stanford 3D hyperthermia treatment planning system. Technical review and clinical summary. , 1993, International journal of hyperthermia : the official journal of European Society for Hyperthermic Oncology, North American Hyperthermia Group.

[4]  A Taflove,et al.  Direct time integration of Maxwell's equations in linear dispersive media with absorption for scattering and propagation of femtosecond electromagnetic pulses. , 1991, Optics letters.

[5]  J. Mautz.  Mie Series Solution for a Sphere (Computer Program Descriptions) , 1978 .

[6]  Dennis M. Sullivan,et al.  Mathematical methods for treatment planning in deep regional hyperthermia , 1991 .

[7]  Dennis M. Sullivan,et al.  Frequency-dependent FDTD methods using Z transforms , 1992 .

[8]  Om P. Gandhi,et al.  A frequency-dependent finite-difference time-domain formulation for general dispersive media , 1993 .

[9]  A. Guy,et al.  Nonionizing electromagnetic wave effects in biological materials and systems , 1972 .

[10]  R. Luebbers,et al.  The Finite Difference Time Domain Method for Electromagnetics , 1993 .

[11]  Dennis M. Sullivan,et al.  An unsplit step 3-D PML for use with the FDTD method , 1997 .

[12]  Dennis M. Sullivan,et al.  Z-transform theory and the FDTD method , 1996 .

[13]  A. Taflove,et al.  Use of the finite-difference time-domain method for calculating EM absorption in man models , 1988, IEEE Transactions on Biomedical Engineering.

[14]  Stuchly,et al.  DIELECTRIC PROPERTIES OF BIOLOGICAL SUBSTANCES–TABULATED , 1980 .

[15]  Dennis M. Sullivan.  Exceeding the Courant condition with the FDTD method , 1996 .