1998 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.

IEEE Transactions on Antennas and Propagation
Volume 46 Number 10, October 1998

Resistive and Conductive Tube Boundary Condition Models for Material Wire-Shaped Scatterers

Page 1548.

Abstract:

An equivalent boundary condition model is introduced in this paper for computing the scattering by material wire-shaped scatterers which are either dielectric or magnetic, but not both simultaneously. While the methodology for numerically computing the scattering by perfectly conducting thin-wire scatterers has been developed for decades, no simple model for material scatterers with large length-to-radius ratios (wire shapes) has been available. This new model can be easily integrated into existing thin-wire computer codes while adding virtually no computational burden. Validating results are shown using comparisons of the full-wave scattering from a number of thin wire-shaped dielectric and magnetic structures with this new equivalent boundary condition model. It is demonstrated that this model is, in essence, an extension of the internal impedance expression for a conducting wire (developed over 50 years ago) to simple-material wire-shaped scatterers possessing a very wide range of material parameters.

References

1. R. F. Harrington, Field Computation by Moment Methods.Malabar, FL: Krieger, 1968.
2. K. W. Whites, "Host effects on the constitutive parameters for synthetic chiral media," in Proc. Chiral'94, Perigueux, France, May 1994, pp. 77-82.
3. --, "Computation and physical behavior of bi-isotropic material parameters for a class of lossy inclusions," in Dig. URSI Radio Sci. Int. Symp., Seattle, WA, June 1994, p. 428.
4. --, "Full-wave computation of constitutive parameters for lossless composite chiral materials," IEEE Trans. Antennas Propagat., vol. 43, pp. 376-384, Apr. 1995.
5. E. H. Newman, "A unified theory of thin material wires," IEEE Trans. Antennas Propagat., vol. 39, pp. 1488-1496, Oct. 1991.
6. T. B. A. Senior, "Impedance boundary conditions for imperfectly conducting surfaces," Appl. Sci. Res., vol. 8, Sec. B, pp. 418-436, 1960.
7. K. W. Whites, "Electromagnetic scattering simulations using equivalent boundary condition models," Ph.D. dissertation, Univ. Illinois, Urbana/Champaign, 1991.
8. R. W. P. King, Electromagnetic Engineering.New York: McGraw-Hill, 1945.
9. S. Ramo and J. R. Whinnery, Fields and Waves in Modern Radio.New York: Wiley, 1949.
10. E. S. Cassedy and J. Fainberg, "Back scattering cross sections of cylindrical wire of finite conductivity," IRE Trans. Antennas Propagat., vol. AP-8, no. 1, pp. 1-7, Jan. 1960.
11. C. D. Taylor, C. W. Harrison Jr., and E. A. Aronson, "Resistive receiving and scattering antenna," IEEE Trans. Antennas Propagat., vol. AP-15, no. 3, pp. 371-376, May 1967.
12. J. H. Richmond, "Scattering by imperfectly conducting wires," IEEE Trans. Antennas Propagat., vol. AP-15, no. 6, pp. 802-806, Nov. 1967.
13. E. S. Cassedy and J. Fainberg, "Comments, with reply, on `Resistive receiving and scattering antenna,'" IEEE Trans. Antennas Propagat., vol. AP-16, no. 1, pp. 128-129, Jan. 1968.
14. R. F. Harrington and J. R. Mautz, "An impedance sheet approximation for thin dielectric shells," IEEE Trans. Antennas Propagat., vol. AP-23, no. 4, pp. 531-534, July 1975.
15. T. B. A. Senior, "Combined resistive and conductive sheets," IEEE Trans. Antennas Propagat., vol. AP-33, pp. 577-579, May 1985.
16. R. F. Harrington, Time-Harmonic Electromagnetic Fields.New York: McGraw-Hill, 1961.
17. T. B. A. Senior, "Approximate boundary conditions," IEEE Trans. Antennas Propagat., vol. AP-29, pp. 826-829, May 1981.
18. A. W. Glisson and D. R. Wilton, "Simple and efficient numerical methods for problems of electromagnetic radiation and scattering from surfaces," IEEE Trans. Antennas Propagat., vol. AP-28, pp. 593-603, May 1980.
19. K. Umashankar, A. Taflove, and S. M. Rao, "Electromagnetic scattering by arbitrary shaped three-dimensional homogeneous lossy dielectric objects," IEEE Trans. Antennas Propagat., vol. AP-34, pp. 758-766, June 1986.
20. S. M. Rao, D. R. Wilton, and A. W. Glisson, "Electromagnetic scattering by surfaces of arbitrary shape," IEEE Trans. Antennas Propagat., vol. AP-30, pp. 409-418, Mar. 1982.
21. F. Guerin, V. K. Varadan, V. V. Varadan, M. Labeyrie, and P. Y. Guillon, "Some experimental results on the dispersive behavior of chiral composites," J. Phys. D: Appl. Phys., vol. 28, no. 1, pp. 194-201, 1995.