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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 27, Iss. 23 — Dec. 1, 1988
  • pp: 4874–4883

Computations of the gn coefficients in the generalized Lorenz-Mie theory using three different methods

Gerard Gouesbet, Gerard Grehan, and Bruno Maheu  »View Author Affiliations


Applied Optics, Vol. 27, Issue 23, pp. 4874-4883 (1988)
http://dx.doi.org/10.1364/AO.27.004874


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Abstract

Three different methods can be used to numerically compute the gn coefficients in the generalized Lorenz-Mie theory. Two of them are rigorous and involve (i) numerical evaluation of quadratures and (ii) numerical evaluation of finite series. The third way relies on the so-called localized interpretation that we discussed in previous papers. These three methods are discussed and compared.

© 1988 Optical Society of America

History
Original Manuscript: December 23, 1987
Published: December 1, 1988

Citation
Gerard Gouesbet, Gerard Grehan, and Bruno Maheu, "Computations of the gn coefficients in the generalized Lorenz-Mie theory using three different methods," Appl. Opt. 27, 4874-4883 (1988)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-27-23-4874


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References

  1. G. Gouesbet, G. Gréhan, “Sur la généralisation de la théorie de Lorenz-Mie,” J. Opt. Paris 13, 97 (1982). [CrossRef]
  2. G. Gouesbet, G. Gréhan, B. Maheu, “Scattering of a Gaussian Beam by a Mie Scatter Center, Using a Bromwich Formalism,” J. Opt. Paris 16, 83 (1985). [CrossRef]
  3. G. Gouesbet, B. Maheu, G. Gréhan, “The Order of Approximation in a Theory of the Scattering of a Gaussian Beam by a Mie Scatter Center,” J. Opt. Paris 16, 239 (1985). [CrossRef]
  4. G. Gouesbet, B. Maheu, G. Gréhan, “Scattering of a Gaussian Beam by a Sphere Using a Bromwich Formulation: Case of an Arbitrary Location,” Part. Part. Syst. Charact. 5, 1 (1988); G. Gouesbet, G. Gréhan, Eds., Optical Particle Sizing—Theory and Practice (Plenum, New York, 1988), pp. 27–42. [CrossRef]
  5. G. Gouesbet, B. Maheu, G. Gréhan, “Light Scattering from a Sphere Arbitrarily Located in a Gaussian Beam, Using a Bromwich Formulation,” J. Opt. Soc. Am. A 5, 1427, (Sept.1988). [CrossRef]
  6. B. Maheu, G. Gouesbet, G. Gréhan, “A Concise Presentation of the Generalized Lorenz-Mie Theory for Arbitrary Location of the Scatterer in an Arbitrary Incident Profile,” J. Opt.19, in press, (1988). [CrossRef]
  7. G. Gréhan, B. Maheu, G. Gouesbet, “Scattering of Laser Beams by Mie Scatter Centers: Numerical Results Using a Localized Approximation,” Appl. Opt. 25, 3539 (1986). [CrossRef] [PubMed]
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  9. B. Maheu, G. Grehan, G. Gouesbet, “Laser Beam Scattering by Individual Spherical Particles: Numerical Results and Application to Optical Sizing,” Part. Part. Syst. Charact. 4, 141 (1987); G. Gouesbet, G. Grehan, Eds., Optical Particle Sizing—Theory and Practice (Plenum, New York, 1988), pp. 77–88. [CrossRef]
  10. G. Gréhan, B. Maheu, G. Gouesbet, “Localized Approximation to the Generalized Lorenz-Mie and Its Application to Optical Sizing,” in Proceedings, ICALEO’86, Arlington, VA (10–13 Nov. 1986).
  11. B. Maheu, G. Gréhan, G. Gouesbet, “Diffusion de la lumière par une sphère dans le cas d’un faisceau d’extension finie. lère partie: Théorie de Lorenz-Mie Généralisée, les coefficients gn et leur calcul numérique. 2ème partie: Théorie de Lorenz-Mie Généralisée, applications à la granulométrie optique,” J. Aerosol Sci. 19, 47, 55 (1988). [CrossRef]
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  17. G. Gouesbet, G. Gréhan, B. Maheu, “Expressions to Compute the Coefficients gnm in the Generalized Lorenz-Mie Theory Using Finite Series,” J. Opt. (Paris), 19, 35 (1988). [CrossRef]
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