A FDTD surface impedance boundary condition using Z-transforms

Applied Computational Electromagnetics Society Journal

Volumn 13, Issue 1, 1998, Pages 14-24

  Beggs, John H ^a  

^a MISSISSIPPI STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE FILTERING; BOUNDARY CONDITIONS; DIGITAL FILTERS; ELECTRIC IMPEDANCE; FINITE DIFFERENCE METHOD; LOW PASS FILTERS; TIME DOMAIN ANALYSIS; Z TRANSFORMS;

FINITE DIFFERENCE TIME DOMAIN (FDTD) METHOD;

ELECTROMAGNETIC FIELD THEORY;

EID: 0032028759     PISSN: 10544887     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (45)

1. M. A. Leontovich, "On the approximate boundary conditions for electromagnetic fields on the surface of well conducting bodies", in Investigations of propagation of radio waves, B. Vvedensky, Ed., pp. 5-20. Moscow: Academy of Sciences USSR, 1948.
2. M. A. Leontovich, "Approximate boundary conditions for the electromagnetic field on the surface of a good conductor", in Investigations on Radiowave Propagation, V. A. Fock, Ed., pt. 2, pp. 5-12. Printing House of the Academy of Sciences, Moscow, 1957, Translation: V. A. Fock, Diffraction refraction and reflection of radio waves, Appendix, Air Force Cambridge Res. Center TN-57-102.
3. M. A. Leontovich, "Approximate boundary conditions for the electromagnetic field on the surface of a good conductor", in Investigations on Radiowave Propagation, V. A. Fock, Ed., pt. 2, pp. 5-12. Printing House of the Academy of Sciences, Moscow, 1957, Translation: V. A. Fock, Diffraction refraction and reflection of radio waves, Appendix, Air Force Cambridge Res. Center TN-57-102.
4. Z. Godzinski, "The surface impedance concept and the structure of radio waves over real earth", Proc. IEE, vol. 108C, pp. 362-373, March 1961.
5. T. B. A. Senior, "Impedance boundary conditions for imperfectly conducting surfaces", Appl. Sci. Res. B, vol. 8, pp. 418-436, 1960.
6. T. B. A. Senior, "Impedance boundary conditions for statistically rough surfaces", Appl. Sci. Res B, vol. 8, pp. 437, 1960.
7. S. N. Karp and Jr. F. C. Karal, "Generalized impedance boundary conditions with applications to surface wave structures", in Electromagnetic Wave Theory, J. Brown, Ed., pt. 1, pp. 479-483. Pergamon, New York, 1965.
8. J. R. Wait and C. M. Jackson, "Calculations of bistatic scattering cross section of a sphere with an impedance boundary condition", J. Res. NBS, USNC-RSI, vol. 69D, no. 2, pp. 298-315, Feb. 1965.
9. K. M. Mitzner, "An integral equation approach to scattering from a body of finite conductivity", Radio Sci., vol. 2, no. 12, pp. 1459-1470, Dec. 1967.
10. M. Ohkubo, "The surface impedance of a moving medium", Elect. Comm. in Japan, vol. 52-B, pp. 125-128, 1969.
11. A. L. Weinstein, The Theory of Diffraction and the Factorization Method, Golem, Boulder, CO, 1969.
12. N. G. Alexopoulos and G. A. Tadler, "Accuracy of the Leontovich boundary condition for continous and discontinuous surface impedances", J. Appl. Phys., vol. 46, no. 8, pp. 3326-3332, August 1975.
13. J. R. Wait, "Exact surface impedance for a cylindrical conductor", Elec. Lett., vol. 15, no. 20, pp. 659-660, Sept. 1979.
14. J. R. Wait, "Exact surface impedance for a spherical conductor", Proc. IEEE, vol. 68, pp. 279-281, Feb. 1980.
15. T. B. A. Senior and J. L. Volakis, "Sheet simulation of a thin dielectric layer", Radio Sci., vol. 22, pp. 1261-1272, 1987.
16. D. Wang, "Limits and validity of the impedance boundary condition on penetrable surfaces", IEEE Trans. Antennas Propagat., vol. AP-35, pp. 453-457, April 1987.
17. T. B. A. Senior and J. L. Volakis, "Derivation and application of a class of generalized boundary conditions", IEEE Trans. Antennas Propagat., vol. 37, no. 12, pp. 1566-1572, Dec. 1989.
18. J. L. Volakis and T. B. A. Senior, "Applications of a class of generalized boundary conditions to scattering by a metal-backed dielectric half-plane", Proc. IEEE, vol. 77, pp. 796-805, May 1989.
19. K. W. White and R. Mittra, "A systematic study of the impedance boundary condition", in Proc. 1990 IEEE Antennas Propagat. Int. Symp., Dallas, TX, May 6-11 1990, pp. 870-873.
20. F. M. Tesche, "On the inclusion of loss in time-domain solutions of electromagnetic interaction problems", IEEE Trans. Electromagn. Compat., vol. EMC-32, pp. 1-4, Feb. 1990.
21. J. G. Maloney and G. S. Smith, "Implementation of surface impedance concepts in the finite-difference Time-domain (FD-TD) technique", in IEEE Antennas and Propagat. Soc. Int. Symposium, Dallas, TX, May 1990, vol. 4, pp. 1628-1631.
22. D. J. Riley and C. D. Turner, "The inclusion of wall loss in finite-difference time-domain thin-slot algorithms", IEEE Trans. Electromagn. Compat., vol. 33, no. 4, pp. 304-311, 1991.
23. J. G. Maloney and G. S. Smith, "The use of surface impedance concepts in the finite-difference time-domain method", IEEE Trans. Antennas Propagat., vol. 40, no. 1, pp. 38-48, 1992.
24. J. H. Beggs, R. J. Luebbers, K. S. Yee, and K. S. Kunz, "Finite-difference time-domain implementation of surface impedance boundary conditions", IEEE Trans. Antennas Propagat., vol. 40, no. 1, pp. 49-56, 1992.
25. C. F. Lee, R. T. Shin, and J. A. Kong, "Time domain modeling of impedance boundary condition", IEEE Trans. Microwave Theory Tech., vol. 40, no. 9, pp. 1847-1850, 1992.
26. T. Kashiwa, O. Chiba, and I. Fukai, "A formulation for surface impedance boundary conditions using the finite-difference time-domain method", Microwave Opt. Technol. Lett., vol. 5, no. 10, pp. 486-490, 1992.
27. K. S. Yee, K. Shlager, and A. H. Chang, "An algorithm to implement a surface impedance boundary condition for FDTD", IEEE Trans. Antennas Propagat., vol. 40, no. 7, pp. 833-837, 1992.
28. J. H. Beggs, Finite-Difference Time-Domain Implementation of Surface Impedance Boundary Conditions in One, Two, and Three Dimensions, PhD thesis, The Pennsylvania State University, University Park, PA, 1993.
29. J. H. Beggs and R. J. Luebbers, "Corrections to "Finite-difference time-domain implementation of surface impedance boundary conditions"", IEEE Trans. Antennas Propagat., vol. 41, no. 1, pp. 118, 1993.
30. S. Kellali, B. Jecko, and A. Reineix, "Implementation of a surface impedance formalism at oblique incidence in FDTD method", IEEE Trans. Electromagn. Compat., vol. 35, no. 3, pp. 347-356, 1993.
31. S. Kellali, B. Jecko, and A. Reineix, "Surface impedance boundary conditions at oblique incidence in FDTD", Annales des Télécommunications, vol. 48, no. 5/6, pp. 268-276, 1993.
32. S. Kellali, B. Jecko, and A. Reineix, "Absorbing surface impedances of lossy layers in the finite difference time-domain method", Annales des Télécommunications, vol. 49, no. 3/4, pp. 154-158, 1994.
33. B. Z. Wang, "Time-domain modeling of the impedance boundary condition for an oblique incident parallel-polarization plane wave", Microwave Opt. Technol. Lett., vol. 7, no. 1, pp. 19-22, 1994.
34. B. Z. Wang, "Time-domain modeling of the impedance boundary condition for an oblique incident perpendicular-polarization plane wave", Microwave Opt. Technol. Lett., vol. 7, no. 8, pp. 355-359, 1994.
35. S. Kellali, A. Reineix, P. Leveque, and B. Jecko, "Time-domain surface impedances of lossless debye media", Annales des Télécommunications, vol. 50, no. 7/8, pp. 705-710, 1995.
36. C. W. Penney, R. J. Luebbers, and J. W. Schuster, "Scattering from coated targets using a frequency-dependent, surface impedance boundary condition in FDTD", in 11th Annual Review of Progress in Applied Computational Electromagnetics, Monterey, CA, Mar. 1995, vol. 1, pp. 445-452.
37. C. W. Penney, R. J. Luebbers, and J. W. Schuster, "A frequency dependent FDTD surface impedance for scattering", in IEEE Antennas and Propagat. Soc. Int. Symposium, Newport Beach, CA, June 1995, vol. 1, pp. 628-631.
38. K. S. Oh and J. E. Schutt-Aine, "An efficient implementation of surface impedance boundary conditions for the finite-difference time-domain method", IEEE Trans. Antennas Propagat., vol. 43, no. 7, pp. 660-666, 1995.
39. C. Penney, R. J. Luebbers, and J. W. Schuster, "Scattering from coated targets using a frequency-dependent, surface impedance boundary condition in FDTD", IEEE Trans. Antennas Propagat., vol. 44, no. 4, pp. 434-443, 1996.
40. J.H. Beggs, "A brief summary of surface impedance boundary conditions for FDTD", in preparation.
41. D. M. Sullivan, "Frequency-dependent FDTD methods using Z transforms", IEEE Trans. Antennas Propagat., vol. 40, no. 10, pp. 1223-1230, 1992.
42. D. M. Sullivan, "Z-transform theory and the FDTD method", IEEE Trans. Antennas Propagat., vol. 44, no. 1, pp. 28-34, 1996.
43. A. V. Oppenheim and R. W. Schafer, Digital Signal Processing, Prentice-Hall, 1975.
44. C. Hulse and A. Knoesen, "Dispersive models for the finite-difference time-domain method: Design, analysis, and implementation", J. Opt. Soc. Am., A Optics Image Sci. Vision, vol. 11, no. 6, pp. 1802-1811, 1994.
45. Z. P. Liao, H. L. Wong, B.-P. Yang, and Y.-F. Yuan, "A transmitting boundary for transient wave analysis", Sci. Sin., Ser. A, vol. 27, no. 10, pp. 1063-1076, 1984.