Abstract
No abstract available.
Full Article | PDF Article"; _cf_contextpath=""; _cf_ajaxscriptsrc="/CFIDE/scripts/ajax"; _cf_jsonprefix='//'; _cf_websocket_port=8577; _cf_flash_policy_port=1243; _cf_clientid='B310CA1258646A5DF1C3C67575BA60B5';/* ]]> */
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]
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]
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]
G. Gouesbet, G. Gréhan, “Sur la généralisation de la théorie de Lorenz-Mie,” J. Opt. Paris 13, 97 (1982).
[CrossRef]
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]
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]
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]
G. Gouesbet, G. Gréhan, “Sur la généralisation de la théorie de Lorenz-Mie,” J. Opt. Paris 13, 97 (1982).
[CrossRef]
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]
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]
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]
G. Gouesbet, G. Gréhan, “Sur la généralisation de la théorie de Lorenz-Mie,” J. Opt. Paris 13, 97 (1982).
[CrossRef]
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]
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]
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]
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]
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]
G. Gouesbet, G. Gréhan, “Sur la généralisation de la théorie de Lorenz-Mie,” J. Opt. Paris 13, 97 (1982).
[CrossRef]
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]
Our notations follow Kerker exactly The Scattering of Light and Other Electromagnetic RadiationAcademic, New York, 1969); H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957), except for the spherical Bessel functions noted jn by Kerker and van de Hulst while we have chosen Ψn1 like L. Robin, Fonctions Sphériques de Legendre et Fonctions Sphéroidales (Gauthiers-Villars, Paris, 1959), Vol. 3.
In Refs. 2 and 3, the beam is modeled using a series expansion of the potential vector. The L order (L for lowest) is the lowest order complying with Maxwell’s equations. The L− order is lower than the L order since only the first terms of the series are kept. For example, the basic radial function f is, respectively, f = Ψ0 at order L− and f = Ψ0(1 − 2Qrcosθ/l) at order L. Ψ0 being the well-known Fundamental mode of Gaussian beams: Ψ0=iQ exp(-iQr2 sin2θ/w02) where l is the so-called diffraction or spreading length of the beam, w0 is the beam radius at the waist, and Q = 1/(i+2r cosθ/l).
OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.
Alert me when this article is cited.
Integration of Eq. (2) over the range 0.001 <
Table I Comparison Between Approximate and Exact Coefficients
Table II Example with Large Beam Waist
Equations on this page are rendered with MathJax. Learn more.