Abstract

Corrections for the generalized Lorenz–Mie theory for infinitely long cylinders with elliptical cross sections are provided.

© 2005 Optical Society of America

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References

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  1. G. Gouesbet, L. Méès, G. Gréhan, “Introduction to the use of distributions for light scattering in elliptical cylinder coordinates,” in Scattering of Shaped Beams and Applications , G. Gouesbet, G. Gréhan, eds. (Research Signpost, Trivandrum, India, 2000), pp. 1–39.
  2. G. Gouesbet, L. Méès, G. Gréhan, “Partial-wave description of shaped beams in elliptical-cylinder coordinates,” J. Opt. Soc. Am. A 15, 3028–3038 (1998).
    [CrossRef]
  3. G. Gouesbet, L. Méès, G. Gréhan, K. F. Ren, “Description of arbitrary shaped beams in elliptical cylinder coordinates, by using a plane wave spectrum approach,” Opt. Commun. 161, 63–78 (1999).
    [CrossRef]
  4. G. Gouesbet, L. Méès, G. Gréhan, K. F. Ren, “The structure of generalized Lorenz–Mie theory for elliptical infinite cylinders,” Part. Part. Syst. Charact. 16, 3–10 (1999).
    [CrossRef]
  5. G. Gouesbet, L. Méès, “Generalized Lorenz–Mie theory for infinitely long elliptical cylinders,” J. Opt. Soc. Am. A 16, 1333–1341 (1999).
    [CrossRef]
  6. G. Gouesbet, L. Méès, G. Gréhan, “Partial wave expansions of higher order Gaussian beams in elliptical cylindrical coordinates,” J. Opt. A, Pure Appl. Opt. 1, 121–132 (1999).
    [CrossRef]

1999 (4)

G. Gouesbet, L. Méès, G. Gréhan, K. F. Ren, “Description of arbitrary shaped beams in elliptical cylinder coordinates, by using a plane wave spectrum approach,” Opt. Commun. 161, 63–78 (1999).
[CrossRef]

G. Gouesbet, L. Méès, G. Gréhan, K. F. Ren, “The structure of generalized Lorenz–Mie theory for elliptical infinite cylinders,” Part. Part. Syst. Charact. 16, 3–10 (1999).
[CrossRef]

G. Gouesbet, L. Méès, “Generalized Lorenz–Mie theory for infinitely long elliptical cylinders,” J. Opt. Soc. Am. A 16, 1333–1341 (1999).
[CrossRef]

G. Gouesbet, L. Méès, G. Gréhan, “Partial wave expansions of higher order Gaussian beams in elliptical cylindrical coordinates,” J. Opt. A, Pure Appl. Opt. 1, 121–132 (1999).
[CrossRef]

1998 (1)

Gouesbet, G.

G. Gouesbet, L. Méès, G. Gréhan, K. F. Ren, “Description of arbitrary shaped beams in elliptical cylinder coordinates, by using a plane wave spectrum approach,” Opt. Commun. 161, 63–78 (1999).
[CrossRef]

G. Gouesbet, L. Méès, G. Gréhan, K. F. Ren, “The structure of generalized Lorenz–Mie theory for elliptical infinite cylinders,” Part. Part. Syst. Charact. 16, 3–10 (1999).
[CrossRef]

G. Gouesbet, L. Méès, G. Gréhan, “Partial wave expansions of higher order Gaussian beams in elliptical cylindrical coordinates,” J. Opt. A, Pure Appl. Opt. 1, 121–132 (1999).
[CrossRef]

G. Gouesbet, L. Méès, “Generalized Lorenz–Mie theory for infinitely long elliptical cylinders,” J. Opt. Soc. Am. A 16, 1333–1341 (1999).
[CrossRef]

G. Gouesbet, L. Méès, G. Gréhan, “Partial-wave description of shaped beams in elliptical-cylinder coordinates,” J. Opt. Soc. Am. A 15, 3028–3038 (1998).
[CrossRef]

G. Gouesbet, L. Méès, G. Gréhan, “Introduction to the use of distributions for light scattering in elliptical cylinder coordinates,” in Scattering of Shaped Beams and Applications , G. Gouesbet, G. Gréhan, eds. (Research Signpost, Trivandrum, India, 2000), pp. 1–39.

Gréhan, G.

G. Gouesbet, L. Méès, G. Gréhan, “Partial wave expansions of higher order Gaussian beams in elliptical cylindrical coordinates,” J. Opt. A, Pure Appl. Opt. 1, 121–132 (1999).
[CrossRef]

G. Gouesbet, L. Méès, G. Gréhan, K. F. Ren, “The structure of generalized Lorenz–Mie theory for elliptical infinite cylinders,” Part. Part. Syst. Charact. 16, 3–10 (1999).
[CrossRef]

G. Gouesbet, L. Méès, G. Gréhan, K. F. Ren, “Description of arbitrary shaped beams in elliptical cylinder coordinates, by using a plane wave spectrum approach,” Opt. Commun. 161, 63–78 (1999).
[CrossRef]

G. Gouesbet, L. Méès, G. Gréhan, “Partial-wave description of shaped beams in elliptical-cylinder coordinates,” J. Opt. Soc. Am. A 15, 3028–3038 (1998).
[CrossRef]

G. Gouesbet, L. Méès, G. Gréhan, “Introduction to the use of distributions for light scattering in elliptical cylinder coordinates,” in Scattering of Shaped Beams and Applications , G. Gouesbet, G. Gréhan, eds. (Research Signpost, Trivandrum, India, 2000), pp. 1–39.

Méès, L.

G. Gouesbet, L. Méès, “Generalized Lorenz–Mie theory for infinitely long elliptical cylinders,” J. Opt. Soc. Am. A 16, 1333–1341 (1999).
[CrossRef]

G. Gouesbet, L. Méès, G. Gréhan, “Partial wave expansions of higher order Gaussian beams in elliptical cylindrical coordinates,” J. Opt. A, Pure Appl. Opt. 1, 121–132 (1999).
[CrossRef]

G. Gouesbet, L. Méès, G. Gréhan, K. F. Ren, “Description of arbitrary shaped beams in elliptical cylinder coordinates, by using a plane wave spectrum approach,” Opt. Commun. 161, 63–78 (1999).
[CrossRef]

G. Gouesbet, L. Méès, G. Gréhan, K. F. Ren, “The structure of generalized Lorenz–Mie theory for elliptical infinite cylinders,” Part. Part. Syst. Charact. 16, 3–10 (1999).
[CrossRef]

G. Gouesbet, L. Méès, G. Gréhan, “Partial-wave description of shaped beams in elliptical-cylinder coordinates,” J. Opt. Soc. Am. A 15, 3028–3038 (1998).
[CrossRef]

G. Gouesbet, L. Méès, G. Gréhan, “Introduction to the use of distributions for light scattering in elliptical cylinder coordinates,” in Scattering of Shaped Beams and Applications , G. Gouesbet, G. Gréhan, eds. (Research Signpost, Trivandrum, India, 2000), pp. 1–39.

Ren, K. F.

G. Gouesbet, L. Méès, G. Gréhan, K. F. Ren, “The structure of generalized Lorenz–Mie theory for elliptical infinite cylinders,” Part. Part. Syst. Charact. 16, 3–10 (1999).
[CrossRef]

G. Gouesbet, L. Méès, G. Gréhan, K. F. Ren, “Description of arbitrary shaped beams in elliptical cylinder coordinates, by using a plane wave spectrum approach,” Opt. Commun. 161, 63–78 (1999).
[CrossRef]

J. Opt. A, Pure Appl. Opt. (1)

G. Gouesbet, L. Méès, G. Gréhan, “Partial wave expansions of higher order Gaussian beams in elliptical cylindrical coordinates,” J. Opt. A, Pure Appl. Opt. 1, 121–132 (1999).
[CrossRef]

J. Opt. Soc. Am. A (2)

Opt. Commun. (1)

G. Gouesbet, L. Méès, G. Gréhan, K. F. Ren, “Description of arbitrary shaped beams in elliptical cylinder coordinates, by using a plane wave spectrum approach,” Opt. Commun. 161, 63–78 (1999).
[CrossRef]

Part. Part. Syst. Charact. (1)

G. Gouesbet, L. Méès, G. Gréhan, K. F. Ren, “The structure of generalized Lorenz–Mie theory for elliptical infinite cylinders,” Part. Part. Syst. Charact. 16, 3–10 (1999).
[CrossRef]

Other (1)

G. Gouesbet, L. Méès, G. Gréhan, “Introduction to the use of distributions for light scattering in elliptical cylinder coordinates,” in Scattering of Shaped Beams and Applications , G. Gouesbet, G. Gréhan, eds. (Research Signpost, Trivandrum, India, 2000), pp. 1–39.

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Equations (2)

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η c , m = ikl   ( - i ) p p m   π 2 q 2   ce m ( β , q 2 ) γ = 0 .
η c , m = ikl ( - i ) p π 2 ce m ( β , q 2 ) q 2 p m γ = 0 ;

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