## Localized interpretation to compute all the coefficients
${g}_{n}^{m}$ in the generalized Lorenz–Mie theory

JOSA A, Vol. 7, Issue 6, pp. 998-1007 (1990)

http://dx.doi.org/10.1364/JOSAA.7.000998

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### Abstract

Numerical computations in the framework of the generalized Lorenz–Mie theory require the evaluation of a new double set of coefficients
*n* = 1, …, ∞; *m* = − *n*, … +*n*). A localized interpretation of these coefficients is designed to permit fast and accurate computations, even on microcomputers. When the scatter center is located on the axis of the beam, a previously published localized approximation for a simpler set of coefficients *g _{n}* is recovered as a special case. The subscript

*n*in coefficients

*g*and

_{n}*m*in coefficients

© 1990 Optical Society of America

**History**

Original Manuscript: May 5, 1989

Manuscript Accepted: January 6, 1990

Published: June 1, 1990

**Citation**

G. Gouesbet, G. Gréhan, and B. Maheu, "Localized interpretation to compute all the coefficients
gnm in the generalized Lorenz–Mie theory," J. Opt. Soc. Am. A **7**, 998-1007 (1990)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-7-6-998

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### References

- G. Gouesbet, G. Gréhan, eds., Proceedings of the International Symposium on Optical Particle Sizing: Theory and Practice (Plenum, New York, 1988). [CrossRef]
- G. Mie, “Beiträge zur Optik Trüber Medien, Speziell Kolloidaler Metallösungen,” Ann. Phys. 25, 377–452 (1908). [CrossRef]
- A. Ashkin, “Acceleration and trapping of particles by radiation pressure,” Phys. Rev. Lett. 24, 156–159 (1970). [CrossRef]
- G. Roosen, “A theoretical and experimental study of the stable equilibrium positions of spheres levitated by two horizontal laser beams,” Opt. Commun. 21, 99–194 (1977). [CrossRef]
- G. Gréhan, G. Gouesbet, “Optical levitation of a single particle to study the theory of the quasi-elastic scattering of light,” Appl. Opt. 19, 2485–2487 (1980). [CrossRef] [PubMed]
- B. Maheu, G. Gréhan, G. Gouesbet, “Laser beam scattering by individual spherical particles: numerical results and application to optical sizing,” Part. Part. Syst. Character. 4, 141–147 (1987). [CrossRef]
- G. Gouesbet, G. Gréhan, “Sur la généralisation de la théorie de Lorenz-Mie,” J. Opt. (Paris) 13, 97–103 (1982). [CrossRef]
- 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, 1427–1443 (1988). [CrossRef]
- 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. (Paris) 19, 59–67 (1988). [CrossRef]
- G. Gouesbet, “Advanced theory of light scattering. Application to optical sizing,” in 6th Symposium of Japan Association of Aerosol Science and Technology (JAAST, Osaka, 1988), pp. 106–108.
- G. Gouesbet, G. Gréhan, B. Maheu, “Generalized Lorenz-Mie theory and application to optical sizing,” in Combustion Measurements, N. Chigier, ed. (Hemisphere, New York, to be published).
- F. Corbin, G. Gréhan, G. Gouesbet, B. Maheu, “Interaction between a sphere and a Gaussian beam: computation on a microcomputer,” Part. Part. Syst. Character. 5, 103–108 (1988). [CrossRef]
- G. Gouesbet, G. Gréhan, B. Maheu, “Computations of the gn coefficients in the generalized Lorenz–Mie theory using three different methods,” Appl. Opt. 27, 4874–4833 (1988). [CrossRef] [PubMed]
- G. Gréhan, B. Maheu, G. Gouesbet, “Scattering of laser beams by Mie scatter centers: numerical results using a localized approximation,” Appl. Opt. 25, 3539–3548 (1986). [CrossRef] [PubMed]
- 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, 35–48 (1988). [CrossRef]
- G. Gouesbet, G. Gréhan, B. Maheu, “The localized interpretation to compute the coefficients gn, gn1, and gn−1 in the framework of the generalized Lorenz-Mie theory,” in Optical Methods in Flows and Particle Diagnostics (International Congress on Applications of Lasers and Electro-Optics, Santa Clara, Calif., 1988), Vol. 67, pp. 263–273.
- G. Gouesbet, G. Gréhan, B. Maheu, “On the generalized Lorenz-Mie theory: first attempt to design a localized approximation to the computation of the coefficients gnm,” J. Opt. (Paris) 20, 31–43 (1989). [CrossRef]
- L. W. Davis, “Theory of electromagnetic beams,” Phys. Rev. A 19, 1177–1179 (1979). [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, 2, 83–93 (1985).
- H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957).

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