Computation of the beam-shape coefficients in the generalized Lorenz-Mie theory by using the translational addition theorem for spherical vector wave functions

Applied Optics

Volumn 36, Issue 13, 1997, Pages 2971-2976

  Doicu, A ^a   Wriedt, T ^a  

^a STIFTUNG INSTITUT FÜR WERKSTOFFTECHNIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0008191976     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.36.002971     Document Type: Article

References (23)

1. G. Gouesbet and G. Grehan, “Sur la generalisation de la theorie de Lorenz-Mie, ” J. Opt. (Paris) 13, 97-103 (1982).
2. G. Gouesbet, G. Grehan, and B. Maheau, “Scattering of a Gaussian beam by a Mie scatterer centre using a Bromwich formalism, ” J. Opt. (Paris) 16, 89-93 (1985).
3. G. Grehan, B. Maheau, and G. Gouesbet, “Scattering of laser beams by Mie scatterer centers: numerical results using a localized approximation, ” Appl. Opt. 25, 3539-3548 (1986).
4. G. Gouesbet, B. Maheau, and G. Grehan, “Light scattering from a sphere arbitrarily located in a Gaussian beam, using a Bromwich formulation, ” J. Opt. Soc. Am. A 5, 1427-1443 (1989).
5. J. P. Barton, D. R. Alexander, and S. A. Schaub, “Internal and near-surface electromagnetic fields for spherical particle irradiated by a focused laser beam, ” J. Appl. Phys. 64, 1632-1639 (1988).
6. E. E. M. Khaled, S. C. Hill, and P. W. Barber, “Scattered an internal intensity of a sphere illuminated with a Gaussian beam, ” IEEE Trans. Antennas Propag. 41, 295-303 (1993).
7. J. A. Lock and G. Gouesbet, “Rigorous justification of the localized approximation to the beam shape coefficients in generalized Lorenz-Mie theory. I. On-axis beams, ” J. Opt. Soc. Am. A 11, 2503-2515 (1994).
8. 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).
9. B. Maheau, G. Gouesbet, and G. Grehan, “A concise presentation of the generalized Lorenz-Mie theory for arbitrary location of the scatterer in an arbitrary incident beam, ” J. Opt. (Paris) 19, 59-67 (1988).
10. G. Grehan, B. Maheau, and G. Gouesbet, “Scattering of laser beams by Mie scatterer centers: numerical results using a localized approximation, ” Appl. Opt. 25, 3539-3548 (1986).
11. m in the generalized Lorenz-Mie theory, ” J. Opt. Soc. Am. A 7, 998-1007 (1990).
12. L. W. Davis, “Theory of electromagnetic beams, ” Phys. Rev. A 19, 1177-1179 (1979).
13. n coefficients in the generalized Lorenz-Mie theory using three different methods, ” Appl. Opt. 27, 4874-4883 (1988).
14. A. Doicu, S. Schabel, and F. Ebert, “Generalized Lorenz-Mie theory for non-spherical particles with applications in the Phase-Doppler anemometrie, ” in Proceedings of the Fourth International Congress on Optical Particle Sizing, F. Durst and J. Domnick, eds. (Nürnberg Messe GmbH, Nürnberg, Germany, 1995), pp. 119-128.
15. B. Friedman and J. Russek, “Addition theorems for spherical waves, ” Q. Appl. Math. 12, 13-23 (1954).
16. S. Stein, “Addition theorems for spherical wave functions, ” Q. Appl. Math. 19, 15-24 (1961).
17. O. R. Cruzan, “Translational addition theorems for spherical vector wave functions, ” Q. Appl. Math. 20, 33-40 (1962).
18. J. H. Bruning and Y. T. Lo, “Multiple scattering of EM waves by spheres—Part I—Multipole expansion and ray-optical solution, ” IEEE Trans. Antennas. Propag. 19, 378-390 (1971).
19. A. Messiah, Quantum Mechanics (Editura Stiintifica, Bucur-esti, 1974).
20. A. R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton U. Press, Princeton, N.J., 1957).
21. J. A. Lock, “Contribution of high-order rainbows to the scattering of a Gaussian laser beam by a spherical particle, ” J. Opt. Soc. Am. A 10, 693-706 (1993).
22. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965).
23. A. Doicu and T. Wriedt, “Plane wave spectrum method of electromagnetic beams, ” in Proceedings of the First Workshop on Electromagnetic and Light Scattering—Theory and Applications, T. Wriedt, M. Quinten, and K. Bauckhage, eds. (Universität Bremen, Bremen, Germany, 1996), pp. 33-37.