OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 15, Iss. 1 — Jan. 1, 1998
  • pp: 174–184

Scattering by finite wires of arbitrary , μ, and σ

P. C. Waterman and J. C. Pedersen  »View Author Affiliations

JOSA A, Vol. 15, Issue 1, pp. 174-184 (1998)

View Full Text Article

Enhanced HTML    Acrobat PDF (364 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



By use of the extinction theorem, the induced electric surface currents involved in electromagnetic scattering and absorption by thin finite wires with arbitrary material parameters are found to be describable by the standard Pocklington integral equation. Unlike for the usual computation, however, when the wire is not highly conducting the scattered wave is described by surface distributions of both electric and magnetic currents, and more than one value of surface impedance may be required. The equation is solved for normal incidence by Galerkin’s method using a single trial function, and results are confirmed by comparison with independent analytical and numerical computations for both coated and uncoated wires.

© 1998 Optical Society of America

OCIS Codes
(290.0290) Scattering : Scattering
(290.2200) Scattering : Extinction
(300.1030) Spectroscopy : Absorption

Original Manuscript: April 10, 1997
Revised Manuscript: July 28, 1997
Manuscript Accepted: July 11, 1997
Published: January 1, 1998

P. C. Waterman and J. C. Pedersen, "Scattering by finite wires of arbitrary ∊, μ, and σ," J. Opt. Soc. Am. A 15, 174-184 (1998)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. C.-T. Tai, “Electromagnetic back-scattering from cylindrical wires,” J. Appl. Phys. 23, 909–916 (1952). [CrossRef]
  2. E. S. Cassedy, J. Fainberg, “Back scattering cross sections of cylindrical wires of finite conductivity,” IRE Trans. Antennas Propag. AP-8, 1–7 (1960). [CrossRef]
  3. K. K. Mei, “On the integral equations of thin wire antennas,” IEEE Trans. Antennas Propag. AP-13, 374–378 (1965). [CrossRef]
  4. J. H. Richmond, “Digital computer solutions of the rigorous equations for scattering problems,” Proc. IEEE 53, 796–804 (1965). [CrossRef]
  5. L. N. Medgyesi-Mitschang, C. Eftimiu, “Scattering from wires and open circular cylinders of finite length using entire domain Galerkin expansions,” IEEE Trans. Antennas Propag. AP-30, 628–636 (1982). [CrossRef]
  6. L. N. Medgyesi-Mitschang, J. M. Putnam, “Electromagnetic scattering from extended wires and two- and three-dimensional surfaces,” IEEE Trans. Antennas Propag. AP-33, 1090–1100 (1985). [CrossRef]
  7. A. Chatterjee, J. L. Volakis, W. J. Kent, “Scattering by a perfectly conducting and a coated thin wire using a physical basis model,” IEEE Trans. Antennas Propag. 40, 761–769 (1992). [CrossRef]
  8. P. C. Waterman, J. C. Pedersen, “Scattering by finite wires,” J. Appl. Phys. 72, 349–359 (1992). [CrossRef]
  9. P. C. Waterman, J. C. Pedersen, “Electromagnetic scattering and absorption by finite wires,” J. Appl. Phys. 78, 656–667 (1995). [CrossRef]
  10. K.-M. Chen, D. E. Livesay, B. S. Guru, “Induced current in and scattered field from a finite cylinder with arbitrary conductivity and permittivity,” IEEE Trans. Antennas Propag. AP-24, 330–336 (1976). [CrossRef]
  11. N. K. Uzunoglu, N. G. Alexopoulos, J. G. Fikioris, “Scattering from thin and finite dielectric fibers,” J. Opt. Soc. Am. 68, 194–197 (1978). [CrossRef]
  12. E. H. Newman, “A unified theory of thin material wires,” IEEE Trans. Antennas Propag. 39, 1488–1496 (1991). [CrossRef]
  13. H. Hönl, A. W. Maue, K. Westpfahl, “Theorie der beugung,” in Handbuch der Physik, S. Flügge, ed. (Springer-Verlag, Berlin, 1961), Vol. 25/1, pp. 224, 240.
  14. P. C. Waterman, “Symmetry, unitarity, and geometry in electromagnetic scattering,” Phys. Rev. D 3, 825–839 (1971). [CrossRef]
  15. S. Ström, “On the integral equations for electromagnetic scattering,” Am. J. Phys. 43, 1060–1069 (1975). [CrossRef]
  16. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, New York, 1978), p. 22.
  17. J. M. Stiles, K. Sarabandi, “A scattering model for thin dielectric cylinders of arbitrary cross section and electrical length,” IEEE Trans. Antennas Propag. 44, 260–266 (1996). [CrossRef]
  18. J. R. Wait, “Scattering of a plane wave from a circular dielectric cylinder at oblique incidence,” Can. J. Phys. 33, 189–195 (1955); “The long wavelength limit in scattering from a dielectric cylinder at oblique incidence,” Can. J. Phys. 43, 2212–2215 (1965). Some errata are given in R. L. Fante, “Some comments on the scattering of long wavelength waves by dielectric cylinders,” Proc. IEEE 53, 1675 (1965). [CrossRef]
  19. J. R. Wait, “Exact surface impedance for a cylindrical conductor,” Electron. Lett. 15, 659–660 (1979). [CrossRef]
  20. D. E. Barrick, in Radar Cross Section Handbook, G. T. Ruck, ed. (Plenum, New York, 1970), pp. 205–339.
  21. W. J. Lentz, “Generating Bessel functions in Mie scattering calculations using continued fractions,” Appl. Opt. 18, 668–670 (1976). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited