Abstract

The generalized eikonal amplitude for light scattering at large size parameters by a dielectric sphere is modified to account more rigorously for the phase-change difference caused by the presence of the medium. The resulting amplitude is shown to work well for scattering at large angles. It accurately predicts the positions of maxima and minima for scattering angles up to 60° for perpendicularly polarized light.

© 1992 Optical Society of America

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References

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  1. T. W. Chen, “High energy light scattering in the generalized eikonal approximation,” Appl. Opt. 28, 4096–4102 (1989).
    [CrossRef] [PubMed]
  2. J. M. Perrin, P. Chiappetta, “Light scattering by large particles,” Opt. Acta 32, 907 (1985); Opt. Acta 33, 1001 (1986); S. K. Sharma, D. J. Somerford, S. Sharma, “Investigation of domains of validity of corrections to the eikonal approximation in forward light scattering from homogeneous sphere,” Opt. Acta 29, 1677–1682 (1982); T. W. Chen, “Eikonal approximation method for small-angle light scattering,” J. Mod. Opt. 35, 743–752 (1988).
    [CrossRef]
  3. T. W. Chen, “Modified P–Q plot of light scattering for large size parameters,” Opt. Lett. 15, 461–462 (1990); “Superposition principle in small-angle scattering at high frequency,” J. Appl. Phys. 70, 1031–1032 (1991).
    [CrossRef] [PubMed]
  4. T. W. Chen, “Generalized eikonal approximation,” Phys. Rev. C 30, 585 (1984).
    [CrossRef]

1990 (1)

1989 (1)

1985 (1)

J. M. Perrin, P. Chiappetta, “Light scattering by large particles,” Opt. Acta 32, 907 (1985); Opt. Acta 33, 1001 (1986); S. K. Sharma, D. J. Somerford, S. Sharma, “Investigation of domains of validity of corrections to the eikonal approximation in forward light scattering from homogeneous sphere,” Opt. Acta 29, 1677–1682 (1982); T. W. Chen, “Eikonal approximation method for small-angle light scattering,” J. Mod. Opt. 35, 743–752 (1988).
[CrossRef]

1984 (1)

T. W. Chen, “Generalized eikonal approximation,” Phys. Rev. C 30, 585 (1984).
[CrossRef]

Chen, T. W.

Chiappetta, P.

J. M. Perrin, P. Chiappetta, “Light scattering by large particles,” Opt. Acta 32, 907 (1985); Opt. Acta 33, 1001 (1986); S. K. Sharma, D. J. Somerford, S. Sharma, “Investigation of domains of validity of corrections to the eikonal approximation in forward light scattering from homogeneous sphere,” Opt. Acta 29, 1677–1682 (1982); T. W. Chen, “Eikonal approximation method for small-angle light scattering,” J. Mod. Opt. 35, 743–752 (1988).
[CrossRef]

Perrin, J. M.

J. M. Perrin, P. Chiappetta, “Light scattering by large particles,” Opt. Acta 32, 907 (1985); Opt. Acta 33, 1001 (1986); S. K. Sharma, D. J. Somerford, S. Sharma, “Investigation of domains of validity of corrections to the eikonal approximation in forward light scattering from homogeneous sphere,” Opt. Acta 29, 1677–1682 (1982); T. W. Chen, “Eikonal approximation method for small-angle light scattering,” J. Mod. Opt. 35, 743–752 (1988).
[CrossRef]

Appl. Opt. (1)

Opt. Acta (1)

J. M. Perrin, P. Chiappetta, “Light scattering by large particles,” Opt. Acta 32, 907 (1985); Opt. Acta 33, 1001 (1986); S. K. Sharma, D. J. Somerford, S. Sharma, “Investigation of domains of validity of corrections to the eikonal approximation in forward light scattering from homogeneous sphere,” Opt. Acta 29, 1677–1682 (1982); T. W. Chen, “Eikonal approximation method for small-angle light scattering,” J. Mod. Opt. 35, 743–752 (1988).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. C (1)

T. W. Chen, “Generalized eikonal approximation,” Phys. Rev. C 30, 585 (1984).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Relative intensity |S|2 versus scattering angle for perpendicularly polarized light by a dielectric sphere with refractive index m and size parameter x fixed. The solid curves are the result of the Mie calculation, the dashed curves are the result of the MGEA, and the dotted–dashed curve at x = 30 is the result of the original GEA calculation.

Fig. 2
Fig. 2

Relative intensity versus the size parameter. The solid curves are the result of the Mie calculation and the dashed curves are the result of the MGEA calculation.

Fig. 3
Fig. 3

Relative intensity versus the real and imaginary parts of the refractive index. The solid curves are the result of the Mie calculation and the dashed curves are the result of the MGEA calculation.

Equations (5)

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S ( θ ) = i k 4 π ( 1 - γ ) S B - α γ 2 k 2 0 a b d b J 0 ( q b ) × { exp [ i ρ Z ( b ) / a ] - 1 } ,
S B = - 4 π k 2 ( n 2 - 1 ) 0 a b d b Z ( b ) J 0 ( q b ) .
α = ( n + 1 ) 2 - i 3 8 [ 1 x - 2 ρ ( a 1 x 2 / 3 - a 2 x 4 / 3 ) ] ,
α γ = ( n + 1 ) / 2.
α γ = ( n 2 - 1 ) / 2 [ n - cos ( θ / 2 ) ] .

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