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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

  • Vol. 15, Iss. 12 — Dec. 1, 1998
  • pp: 3028–3038

Partial-wave description of shaped beams in elliptical-cylinder coordinates

G. Gouesbet, L. Mees, and G. Gréhan  »View Author Affiliations


JOSA A, Vol. 15, Issue 12, pp. 3028-3038 (1998)
http://dx.doi.org/10.1364/JOSAA.15.003028


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Abstract

We present the most general framework, in terms of distributions, for describing a shaped electromagnetic beam in elliptical-cylinder coordinates. This framework is illustrated by investigating the case of a first-order Gaussian beam.

© 1998 Optical Society of America

OCIS Codes
(260.2110) Physical optics : Electromagnetic optics
(290.0290) Scattering : Scattering
(290.4020) Scattering : Mie theory
(350.7420) Other areas of optics : Waves

Citation
G. Gouesbet, L. Mees, and G. Gréhan, "Partial-wave description of shaped beams in elliptical-cylinder coordinates," J. Opt. Soc. Am. A 15, 3028-3038 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-12-3028


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References

  1. G. Gouesbet, B. Maheu, and G. Gréhan, “Light scattering from a sphere arbitrarily located in a Gaussian beam, using a Bromwich formulation,” J. Opt. Soc. Am. A 5, 1427–1443 (1988).
  2. G. Gouesbet, G. Gréhan, and B. Maheu, “Generalized Lorenz–Mie theory and applications to optical sizing,” in Combustion Measurements, N. Chigier, ed. (Hemisphere, New York, 1991), pp. 339–384.
  3. F. Onofri, G. Gréhan, and G. Gouesbet, “Electromagnetic scattering from a multilayered sphere located in an arbitrary beam,” Appl. Opt. 34, 7113–7124 (1995).
  4. G. Gouesbet, “Scattering of higher-order Gaussian beams by an infinite cylinder,” J. Opt. (Paris) 28, 45–65 (1997).
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  6. G. Gouesbet, “Interaction between Gaussian beams and infinite cylinders, by using the theory of distributions,” J. Opt. (Paris) 26, 225–239 (1995).
  7. G. Gouesbet, “Scattering of a first-order Gaussian beam by an infinite cylinder with arbitrary location and arbitrary orientation,” Part. Part. Syst. Charact. 12, 242–256 (1995).
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  12. Information on theory of distributions and its application to light scattering can be obtained from G. Gouesbet on request.
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  18. Information on electromagnetic scattering of shaped beams (generalized Lorenz–Mie theory) can be obtained from G. Gouesbet on request.
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  25. G. Gouesbet, J. A. Lock, and G. Gréhan, “Partial-wave representations of laser beams for use in light scattering calculations,” Appl. Opt. 34, 2133–2143 (1995).
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  27. G. Gouesbet and J. A. Lock, “Rigorous justification of the localized approximation to the beam-shape coefficients in generalized Lorenz–Mie theory. II. Off-axis beams,” J. Opt. Soc. Am. A 11, 2516–2525 (1994).
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