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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 22, Iss. 11 — Nov. 1, 2005
  • pp: 2430–2441

Scattering, absorption, and extinction by thin fibers

P. C. Waterman

JOSA A, Vol. 22, Issue 11, pp. 2430-2441 (2005)
http://dx.doi.org/10.1364/JOSAA.22.002430


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Abstract

For electromagnetic wave incidence on a thin fiber at an angle θi with the fiber axis, induced currents are described by linear combinations of driven and traveling waves exp(±ikzcosθi) and exp(±imkz), where the complex factor m serves to remove singularities in the normalizing constants of the currents. The fiber may be solid, hollow, or coated, with quite general constitutive parameters. Results are given for scattering, absorption, extinction, and radar cross sections, using energy conservation and reciprocity as consistency checks, and compared with independent computations, including the Born approximation for tenuous conductors and dielectrics. In addition, the far field amplitude of a 50 wavelength conductor is obtained and compared with the well-known long-wire approximation.

© 2005 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(000.4430) General : Numerical approximation and analysis
(030.5620) Coherence and statistical optics : Radiative transfer
(290.1350) Scattering : Backscattering
(290.2200) Scattering : Extinction
(290.5870) Scattering : Scattering, Rayleigh

ToC Category:
Scattering

Citation
P. C. Waterman, "Scattering, absorption, and extinction by thin fibers," J. Opt. Soc. Am. A 22, 2430-2441 (2005)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-22-11-2430

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