OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 17, Iss. 4 — Apr. 1, 2000
  • pp: 740–744

Isotropic scattering by penetrable cylinders

Peter C. Waterman and Jeanne C. Pedersen  »View Author Affiliations

JOSA A, Vol. 17, Issue 4, pp. 740-744 (2000)

View Full Text Article

Enhanced HTML    Acrobat PDF (140 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Isotropic scattering is considered for infinite cylinders thin in the sense that ka1, although |ka| and cross-sectional shape can be arbitrary within limits (k and k are, respectively, free-space and interior propagation constants, and a is a characteristic dimension of the cylinder). For circular cylinders, scattering width is found to saturate at its perfectly conducting value, and absorption width is found to peak, when skin depth becomes comparable with cylinder diameter. For a variety of cylinders with and without edges, both scattering and absorption widths are then found to be effectively identical to those of the circular cylinder with equal cross-sectional area. A new analytical formula is obtained for high but not infinite conductivity, and the connection with scattering cross sections of corresponding finite cylinders is discussed.

© 2000 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(260.1960) Physical optics : Diffraction theory
(260.2110) Physical optics : Electromagnetic optics
(260.2160) Physical optics : Energy transfer
(290.3770) Scattering : Long-wave scattering

Original Manuscript: June 1, 1999
Revised Manuscript: October 8, 1999
Manuscript Accepted: December 2, 1999
Published: April 1, 2000

Peter C. Waterman and Jeanne C. Pedersen, "Isotropic scattering by penetrable cylinders," J. Opt. Soc. Am. A 17, 740-744 (2000)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. P. C. Waterman, “Surface fields and the T matrix,” J. Opt. Soc. Am. A 16, 2968–2977 (1999). [CrossRef]
  2. H. C. Van de Hulst, Light Scattering by Small Particles, 2nd ed. (Wiley, New York, 1957), pp. 304 ff.
  3. D. E. Barrick, “Spheres,” in Radar Cross Section Handbook, G. T. Ruck, D. E. Barrick, W. D. Stuart, C. K. Krichbaum, eds. (Plenum, New York, 1970), pp. 302 ff.
  4. P. C. Waterman, J. C. Pedersen, “Scattering by finite wires of arbitrary ϵ, μ, and σ,” J. Opt. Soc. Am. A 15, 174–184 (1998). [CrossRef]
  5. E. H. Newman, “A unified theory of thin material wires,” IEEE Trans. Antennas Propag. 39, 1488–1496 (1991). [CrossRef]
  6. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, New York, 1978), Chaps. 7 and 14.
  7. K. W. Whites, “Resistive and conductive tube boundary condition models for material wire-shaped scatterers,” IEEE Trans. Antennas Propag. 46, 1548–1554 (1998). [CrossRef]
  8. P. C. Waterman, “New formulation of acoustic scattering,” J. Acoust. Soc. Am. 45, 1417–1429 (1969). [CrossRef]
  9. G. T. Ruck, “Planar surfaces,” in Radar Cross Section Handbook, G. T. Ruck, D. E. Barrick, W. D. Stuart, C. K. Krichbaum, eds. (Plenum, New York, 1970), p. 502.

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