Structure of generalized Lorenz-Mie theory for elliptical infinite cylinders

Particle and Particle Systems Characterization

Volumn 16, Issue 1, 1999, Pages 3-10

  Gouesbet, Gérard ^b   Mees, Loïc ^b   Gréhan, Gérard ^b   Ren, Kuan F ^a  

^a University of Rouen Normandy   (France)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

CYLINDERS (SHAPES); NUMERICAL ANALYSIS;

ELLIPTICAL CYLINDERS; GENERALIZED LORENZ-MIE THEORY (GLMT);

PARTICLES (PARTICULATE MATTER);

EID: 0032658723     PISSN: 09340866     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1521-4117(199905)16:1<3::AID-PPSC3>3.0.CO;2-7     Document Type: Article

References (50)

1. G. Gauesbet, B. Maheu, C. Gréhan: Light scattering from a sphere arbitrarily located in a Gaussian beam, using a Bromwich formulation. J. Opt. Soc. Am. A 5 (1988) 1427-1443.
2. G. Gouesbet: Generalized Lorenz-Mie theory and applications. Part. Part. Syst. Charact. 11 (1994) 22-34.
3. F. Onofri, G. Gréhan, G. Gouesbet: Electromagnetic scattering from a multilayered sphere located in an arbitrary beam. Appl. Opt. 34 (1995) 7113-7124.
4. Z. S. Wu, L. X. Guo, K. F. Ren, G. Gouesbet, G. Gréhan: Improved algorithms for electromagnetic scattering of plane waves and shaped beams by multilayered spheres. Appl. Opt. 36 (1997) 5188-5198.
5. H. Mignon, G. Gréhan, G. Gouesbet, T. H. Hu, C. Tropea: Measurement of cylindrical particles with phase-Doppler anemometry. Appl. Opt. 35 (1996) 5180-5190.
6. N. Gauchet, T. Girasole, K. F. Ren, G. Gréhan, G. Gouesbet: Application of generalized Lorenz-Mie theory for cylinders to cylindrical characterization by phase-Doppler anemometry. Opt. Diagnost Eng. 2 (1997) 1-10.
7. X. Han, K. F. Ren, Z. Wu, F. Corbin, G. Gouesbet, G. Gréhan: Characterization of initial disturbance in liquid jet by rainbow sizing. Appl. Opt. 37 (1998) 8498-8503.
8. J. A. Lock, C. L. Adler, B. R. Stone, P. D. Zajak: Amplification of high-order rainbows of a cylinder with an elliptical cross-section. Appl. Opt. 37 (1998) 1527-1533.
9. S. Lange, G. Schweiger: Structural resonances in the total Ramanand fluorescence-scattering cross section: concentration-profile dependence. J. Opt. Am. B 13 (1996) 1864-1872.
10. F. Roddier: Distributions et tranformation de Fourier McGraw-Hill, Paris 1992.
11. G. Gouesbet: Theory of distributions and its application to light scattering. Part. Part. Syst. Charact., 16 (1999) in press.
12. G. Gouesbet, L. Mees, G. Gréhan: Partial wave description of shaped beams in elliptical cylinder coordinates. To be published in J. Opt. Soc. Am. 15 (1998) 3028-3038.
13. C. Yeh: The diffraction of waves by a penetrable ribbon. J. Math. Phys. 4 (1963) 65-71.
14. C. Yeh: Backscattering cross section of a dielectric elliptical cylinder. J. Opt. Soc Am. A. 55 (1965) 309-314.
15. P. M. Morse, H. Feshbach: Methods of theoretical physics. Part. 1. McGraw-Hill, New York 1953.
16. T. J. Bromwich: Electromagnetic waves. Philos. Mag. 38 (1919) 143-164.
17. F. E. Borgnis: Electromagnetische Eigenschwingungen dielektrischer Raüme. Ann. Phys. 35 (1939) 359-384.
18. G. Gouesbet, G. Gréhan, B. Maheu, K. F. Ren: Electromagnetic scattering of shaped beams (generalized Lorenz-Mie theory. Personal communication, available upon request.
19. R. Campbell: Théorie générale de l'équation de Mathieu. Masson, Paris 1955.
20. N. W. McLachlan: Theory and application of Mathieu functions. Clarendon Press, Oxford 1951.
21. M. Abramowitz, I. A. Stegun: Handbook of mathematical functions. Dover, New York 1972, 723-745.
22. G. Gouesbet: Exact description of arbitrary shaped beams for use in light scattering theories. J. Opt. Soc. Am. A. 13 (1996) 2434-2440.
23. L. W. Davis: Theory of electromagnetic beams. Phys. Rev. 19 (1979) 1177-1179.
24. J. P. Barton, D. R. Alexander: Fifth-order corrected electromagnetic field components for fundamental Gaussian beam. J. Appl. Phys. 66 (1989) 2800-2802.
25. G. Gouesbet, J. A. Lock, G. Gréhan: Partial wave representations of laser beams for use in light scattering calculations. Appl. Opt. 34 (1995) 2133-2143.
26. J. A. Lock, 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 (1994) 2503-2515.
27. G. Gouesbet, 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 (1994) 2516-2525.
28. G. Gouesbet: Higher-order descriptions of Gaussian beams. J. Opt. Paris 27 (1996) 35-50.
29. G. Gouesbet, L. Mees, G. Gréhan: Partial wave expansions of higher-order Gaussian beams in elliptical cylinder coordinates. J. Opt. in press.
30. G. Gouesbet, L. Mees, G. Gréhan, K. F. Ren: Description of arbitrary beams in elliptical cylinder coordinates, by using a plane wave spectrum approach. Opt. Commun., in press.
31. G. Gouesbet, C. Letellier, K. F. Ren, G. Gréhan: Discussion of two quadrature methods of evaluating beam shape coefficients in generalized Lorenz-Mie theory. Appl. Opt. 35 (1996) 1537-1542.
32. K. F. Ren, G. Gréhan, G. Gouesbet: Localized approximation of generalized Lorenz-Mie theory. Faster algorithm for computations of the beam shape coefficients. Part. Part. Syst. Charact. 9 (1992) 144-150.
33. K. F. Ren, G. Gouesbet, G. Gréhan: The integral localized approximation in generalized Lorenz-Mie. Appl. Opt. 37 (1998) 4218-4225.
34. J. A. Lock: Improved Gaussian beam scattering algorithm. Appl. Opt. 34 (1995) 559-570.
35. G. Gouesbet, L. Mees, G. Gréhan, K. F. Ren: Localized approximation for Gaussian beams in elliptical cylinder coordinates. In preparation.
36. H. Polaert, G. Gréhan, G. Gouesbet: Improved standard beams with applications to reverse radiation pressure. Appl. Opt. 37 (1998) 2435-2440.
37. G. Gouesbet, G. Gréhan: Interaction between shaped beams and an infinite cylinder, including a discussion of Gaussian beams. Part. Part. Syst. Charact. 11 (1994) 299-308.
38. G. Gouesbet, G. Gréhan: Interaction between a Gaussian beam and an infinite cylinder using non sigma-separable potentials. J. Opt. Soc. Am. A. 11 (1994) 3261-3273.
39. G. Gouesbet: The separability theorem revisited with applications to light scattering theory. J. Opt. 26 (1995) 123-135.
40. E. Lenglart, G. Gouesbet: The separability "theorem" in terms of distributions with discussion of electromagnetic scattering theory. J. Math. Phys. 37 (1996) 4705-4710.
41. G. Gouesbet: Interaction between Gaussian beams and infinite cylinders, by using the theory of distributions. J. Opt. 26 (1995) 225-239.
42. G. Gouesbet: Scattering of a first-order Gaussian beam by an infinite cylinder with arbitrary location and arbitrary orientation. Part. Part. Syst. Charact. 12 (1995) 242-256.
43. G. Gouesbet: Scattering of higher-order Gaussian beams by an infinite cylinder. J. Opt. (Paris) 28 (1997) 45-65.
44. G. Gouesbet: Interaction between an infinite cylinder and an arbitrary shaped beam. Appl. Opt. 36 (1997) 4292-4305.
45. K. F. Ren, G. Gréhan, G. Gouesbet: Scattering of Gaussian beam by an infinite cylinder in the GLMT-framework, formulation and numerical results. J. Opt. Soc. Am. A. 4 (1997) 3014-3025.
46. G. Gouesbet, G. Gréhan, K. F. Ren: Rigorous justification of the cylindrical localized approximation to speed up computations in GLMT for cylinders. J. Opt. Soc. Am. A. 15 (1998) 511-523.
47. G. Gouesbet, K. F. Ren, L. Mees, G. Gréhan: The cylindrical localized approximation to speed up computations in GLMT for cylinders, for arbitrary location and orientation of the scatterer. Appl. Opt., to be published.
48. L. Mees, K. F. Ren, G. Gréhan, G. Gouesbet: Scattering of Gaussian beam by an infinite cylinder with arbitrary location and arbitrary orientation, numerical results. J. Opt. Soc. Am. A, to be published.
49. J. A. Lock: Scattering of a diagonally incident focused Gaussian beam by an infinitely long homogeneous circular cylinder. J. Opt. Soc. Am. A. 14 (1997) 640-652.
50. J. A. Lock: Morphology dependent resonances of an infinitely long circular cylinder illuminated by a diagonally incident plane wave or a focused Gaussian beam. J. Opt. Soc. Am. A. 14 (1997) 653-661.