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Journal of the Optical Society of America A

Journal of the Optical Society of America A


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

Scattering, absorption, and extinction by thin fibers

P. C. Waterman  »View Author Affiliations

JOSA A, Vol. 22, Issue 11, pp. 2430-2441 (2005)

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For electromagnetic wave incidence on a thin fiber at an angle θ i with the fiber axis, induced currents are described by linear combinations of driven and traveling waves exp ( ± i k z cos θ i ) and exp ( ± i m k z ) , 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:

Original Manuscript: February 15, 2005
Manuscript Accepted: April 29, 2005
Published: November 1, 2005

P. C. Waterman, "Scattering, absorption, and extinction by thin fibers," J. Opt. Soc. Am. A 22, 2430-2441 (2005)

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