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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: Franco Gori
  • Vol. 30, Iss. 8 — Aug. 1, 2013
  • pp: 1548–1556

Scattering of a Gaussian beam by an elliptical cylinder using the vectorial complex ray model

Keli Jiang, Xiang’e Han, and Kuan Fang Ren  »View Author Affiliations


JOSA A, Vol. 30, Issue 8, pp. 1548-1556 (2013)
http://dx.doi.org/10.1364/JOSAA.30.001548


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Abstract

The scattered waves of a shaped beam by an infinite cylinder in the far field are, stricto sensu, neither cylindrical nor spherical, so the asymptotic form of special functions involved in the theories based on the rigorous solution of Maxwell equations cannot be used to evaluate scattered intensities, even in the most simple case of Gaussian beam scattering by an infinite circular cylinder. Thus, although theories exist for the scattering of a shaped beam by infinite cylinders with circular and elliptical sections, the numerical calculations are limited to the near field. The vectorial complex ray model (VCRM) developed by Ren et al. describes waves by rays with a new property: the curvature of the wavefront. It is suitable to deal with the scattering of an arbitrarily shaped beam by a particle with a smooth surface of any form. In this paper, we apply this method to the scattering of an infinite elliptical cylinder illuminated by a Gaussian beam at normal incidence with an arbitrary position and orientation relative to the symmetric axis of the elliptical section of the cylinder. The method for calculating the curvature of an arbitrary surface is given and applied in the determination of the two curvature radii of the Gaussian beam wavefront at any point. Scattered intensities for different parameters of the beam and the particle as well as observation distance are presented to reveal the scattering properties and new phenomena observed in the beam scattering by an infinite elliptical cylinder.

© 2013 Optical Society of America

OCIS Codes
(080.0080) Geometric optics : Geometric optics
(260.3160) Physical optics : Interference
(290.5850) Scattering : Scattering, particles
(290.5825) Scattering : Scattering theory
(080.7343) Geometric optics : Wave dressing of rays

ToC Category:
Geometric Optics

History
Original Manuscript: March 29, 2013
Revised Manuscript: June 7, 2013
Manuscript Accepted: June 15, 2013
Published: July 15, 2013

Citation
Keli Jiang, Xiang’e Han, and Kuan Fang Ren, "Scattering of a Gaussian beam by an elliptical cylinder using the vectorial complex ray model," J. Opt. Soc. Am. A 30, 1548-1556 (2013)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-30-8-1548


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