Debye Function Expansions of Empirical Models of Complex
Permittivity for Use in FDTD Solutions

David F. Kelley*
Dept. of Electrical Engineering
Bucknell University
Lewisburg, PA 17837
dkelley@bucknell.edu
Raymond J. Luebbers
Remcom, Inc.
315 South Allen St., Suite 222
State College, PA 16801
rjl@remcom.com

5. References

[1] P. J. Debye, Polar Molecules, The Chemical Catalog Co., New York, NY, 1929.

[2] D. F. Kelley and R. J. Luebbers, "Piecewise linear recursive convolution for dispersive media using FDTD," IEEE Trans. Antennas Propagat., vol. 44, pp. 792-797, June 1996.

[3] K. S. Cole and R. H. Cole, "Dispersion and absorption in dielectrics: I. Alternating current characteristics," J. Chemical Physics, vol. 9, pp. 341-351, Apr. 1941.

[4] W. H. Weedon and C. M. Rappaport, "A general method for FDTD modeling of wave propagation in arbitrary frequency-dispersive media," IEEE Trans. Antennas Propagat., vol. 45, pp. 401-410, Mar. 1997.

[5] F. Torres, P. Vaudon, and B. Jecko, "Application of fractional derivatives to the FDTD modeling of pulse propagation in a Cole-Cole dispersive medium," Microwave Opt. Tech. Lett., vol. 13, pp. 300-304, Dec. 5, 1996.

[6] J. W. Schuster and R. J. Luebbers, "An FDTD algorithm for transient propagation in biological tissue with a Cole-Cole dispersion relation," IEEE Antennas Propagat. Soc. Int. Symp., vol. 4, pp. 1988-1991, Atlanta, GA, June 21-26, 1998.

[7] R. Siushansian and J. LoVetri, "Efficient evaluation of convolution integrals arising in FDTD formulations of electromagnetic dispersive media," J. Electromagnetic Waves and Apps., vol. 11, pp. 101-117, 1997.

[8] F. L. Teixeira, W. C. Chew, M. Straka, M. L. Oristaglio, and T. Wang, "Finite-difference time-domain simulation of ground penetrating radar on dispersive, inhomogeneous, and conductive soils," IEEE Trans. Geosci. Remote Sensing, vol. 36, pp. 1928-1937, Nov. 1998.

[9] M. Mrozowski and M. A. Stuchly, "Parameterization of media dispersive properties for FDTD," IEEE Trans. Antennas Propagat., vol. 45, pp. 1438-1439, Sept. 1997.

[10] S. Ramo, J. R. Whinnery, and T. Van Duzer, Fields and Waves in Communication Electronics, 3rd ed., John Wiley & Sons, Inc., New York, NY, 1994.