Description of arbitrary shaped beams in elliptical cylinder coordinates, by using a plane wave spectrum approach

Optics Communications

Volumn 161, Issue 1-3, 1999, Pages 63-78

  Gouesbet, Gérard ^a   Mees, Loic ^a   Gréhan, Gérard ^a   Ren, Kuan Fang ^a  

^a CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

MAXWELL EQUATIONS; SPECTRUM ANALYSIS;

ELLIPTICAL CYLINDER COORDINATES;

LIGHT SCATTERING;

EID: 0033099597     PISSN: 00304018     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0030-4018(98)00686-5     Document Type: Article

References (35)

1. G. Gouesbet, B. Maheu, G. Gréhan, J. Opt. Soc. Am. A. 5 (1988) 1427.
2. G. Gouesbet, G. Gréhan, B. Maheu, in: N. Chigier (Ed.), Combustion Measurements, Chapter 10, Generalized Lorenz-Mie theory and applications to optical sizing, Hemisphere, 1991, pp. 339-384.
3. F. Onofn, G. Gréhan, G. Gouesbet, Appl. Optics 34 (1995) 7113.
4. G. Gouesbet, J. Optics 28 (1997) 45.
5. G. Gouesbet, Appl. Optics 36 (1997) 4292.
6. K.F. Ren, G. Gréhan, G. Gouesbet, J. Opt. Soc. Am. A. 14 (1997) 3014.
7. H. Mignon, G. Gréhan, G. Gouesbet, T.H. Xu, C. Tropea, Appl. Optics 35 (1996) 5180.
8. J.P.A.J. van Beeck, M.L. Riethmuller, Appl. Optics 35 (1996) 2259.
9. X. Han, K.F. Ren, Z. Wu, F. Corbin, G. Gouesbet, G. Gréhan, Appl. Optics 37 (1998) 8498.
10. E. Lenglart, G. Gouesbet, J. Math. Phys. 37 (1996) 4705.
11. G. Gouesbet, L. Mees, G. Gréhan, Partial wave description of shaped beams in elliptical cylinder coordinates, J. Opt. Soc. Am. A, to be published.
12. G. Gouesbet, L. Mees, G. Gréhan, Partial wave expansions of higher-order Gaussian beams in elliptical cylinder coordinates, J. Optics, to be published.
13. J.A. Lock, C.L. Adler, J. Opt. Soc. Am. A 14 (1997) 1316.
14. J.A. Lock, J. Opt. Soc. Am. A 14 (1997) 640.
15. J.A. Lock, J. Opt. Soc. Am. A 14 (1997) 653.
16. C. Yeh, J. Math. Phys. 4 (1963) 65.
17. C. Yeh, J. Opt. Soc. Amer. A 55 (1965) 309.
18. P.M. Morse, H. Feshbach, Methods of Theoretical Physics, McGraw-Hill, 1953.
19. T.J. Bromwich, Phil. Mag. 38 (1919) 143.
20. F.E. Borgnis, Ann. Phys. (Liepzig) 35 (1939) 359.
21. G. Gouesbet, G. Gréhan, B. Maheu, K.F. Ren, Electromagnetic scattering of shaped beams (generalized Lorenz-Mie theory), manuscript available upon request.
22. R. Campbell, Théorie Générale de l' Équation de Mathieu, Masson et Cie, Paris, 1955.
23. N.W. McLachlan, Theory and Application of Mathieu Functions, Clarendon, Oxford, 1951.
24. M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions, Chapter 20, Mathieu functions, Dover, New York, 1972, pp. 723-745.
25. G. Gouesbet, J. Optics (Paris) 26 (1995) 225.
26. G. Gouesbet, Part. Part. Syst. Charac. 12 (1995) 242.
27. F. Roddier, Distributions et transformation de Fourier, McGraw-Hill, 1992.
28. L. Schwartz, Méthodes Mathématiques pour les Sciences Physiques, Hermann, Paris, 1965.
29. G. Gouesbet, Theory of distributions and its application to light scattering, submitted to Part. Part. Syst. Charact.
30. G. Gouesbet, C. Letellier, K.F. Ren, G. Gréhan, Appl. Optics 35 (1996) 1537.
31. L.W. Davis, Phys. Rev. A 19 (1979) 1177.
32. G. Gouesbet, J.A. Lock, G. Gréhan, Appl. Optics 34 (1995) 2133.
33. G. Gouesbet, J. Optics 27 (1996) 35.
34. G. Gouesbet, K.F. Ren, L. Mees, G. Gréhan, The cylindrical localized approximation to speed up computations in the GLMT for cylinders, for arbitrary location and orientation of the scatterer, Appl. Optics, to be published.
35. M. Abramowitz, I.A. Stegun, Handbook of Mathematical functions, Dover, New York, 1972, pp. 723-745.