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Light Scattering by a Prism and Pyramid in the Rayleigh-Gans-Debye Approximation

Received: 30 March 2013    Accepted:     Published: 02 April 2013
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Abstract

The general approach to finding the form factor of a compound particle and a system of particles in the Ray-leigh-Gans-Debye (RGD) approximation is considered. The rotational-translational properties of light scattering amplitude in the RGD approximation are formulated. Using such properties, the analytical expressions for the amplitude of light scattering by a prism and pyramid with an arbitrary polygonal base in the RGD approximation are obtained. The phase functions of light scattering by a prism and pyramid in the RGD approximation are computed.

DOI 10.11648/j.optics.20130202.11
Published in Optics (Volume 2, Issue 2, April 2013)
Page(s) 32-37
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Optically “Soft” Particles, Form Factor, Phase Function

References
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[4] M. Kerker, The Scattering of Light and Other Electromagnetic Radiation. New York, London: Academic Press, 1969.
[5] A.A. Kokhanovsky, Cloud Optics. Dordrecht: Springer, 2006.
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[8] P. W. Barber and D.-S. Wang, "Rayleigh-Gans-Debye ap-plicability to scattering by nonspherical particles," Appl. Opt., vol. 17, pp. 797-803, 1978.
[9] K.A. Shapovalov, "Light scattering by particles of toroidal shape in the Rayleigh-Gans-Debye approximation," Opt. Spectrosc., vol. 110, No.5, pp. 806-810, 2011.
[10] P. Chýlek and J.P. Klett, "Extinction cross section of non-spherical particles in the anomalous diffraction ap-proximation," J. Opt. Soc. Am. A, vol. 8, pp. 274-281, 1991.
[11] P. Chýlek and J.P. Klett, "Absorption and scattering of elec-tromagnetic radiation by prismatic columns: Anomalous diffraction approximation," J. Opt. Soc. Am. A, vol. 8, pp. 1713-1720, 1991.
[12] V.M. Rysakov, "Light scattering by "soft" particles of arbi-trary shape and size," J. Quant. Spectrosc. Radiat. Transfer, vol. 87, pp. 261-287, 2004.
[13] K. Muinonen, "Light scattering by Gaussian random particles: Rayleigh and Rayleigh-Gans approximations," J. Quant. Spectrosc. Radiat. Transfer, vol. 55, pp. 603-613, 1996.
[14] J.W. Shepherd and A.R. Holt, "The scattering of electro-magnetic radiation from finite dielectric circular cylinders," J. Phys. A: Math. Gen., vol. 16, pp. 651-662, 1983.
[15] A.R. Holt, N.K. Uzunoglu and B.G. Evans, "An integral equation solution to the scattering of electromagnetic radiation by dielectric spheroids and ellipsoids," IEEE Trans. Antennas Propag., vol. 26, pp. 706-712, 1978.
[16] A. Ishimaru, Wave Propagation and Scattering in Random Media. New York: IEEE Press, 1997.
[17] K.A. Shapovalov, "Light scattering of cylindrical particles in Rayleigh-Gans-Debye approximation. 1. Rigorously oriented particles," Atmos. Oceanic. Opt., vol. 17, No. 4, pp. 350-353, 2004.
[18] K.A. Shapovalov, "Light scattering of cylindrical particles in Rayleigh-Gans-Debye approximation. 2. Randomly oriented particles," Atmos. Oceanic. Opt., vol. 17, No. 8, pp. 627-629, 2004.
[19] K.A. Shapovalov, "Light scattering by particles with axis of symmetry in Rayleigh-Gans-Debye approximation," J. Sib. Fed. Univ. Math. Phys., vol. 5, No. 4, pp. 586-592, 2012. http://elib.sfu-kras.ru/bitstream/2311/3112/1/shapevalev.pdf (Open Access Journal in Russian).
Author Information
  • Department of Medical and Biological Physics, Krasnoyarsk State Medical Univ. named after Prof. V. F. Voyno-Yasenetsky, Partizana Zheleznyaka Street, 1, Krasnoyarsk, 660022, Russia

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    Konstantin A. Shapovalov. (2013). Light Scattering by a Prism and Pyramid in the Rayleigh-Gans-Debye Approximation. Optics, 2(2), 32-37. https://doi.org/10.11648/j.optics.20130202.11

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    ACS Style

    Konstantin A. Shapovalov. Light Scattering by a Prism and Pyramid in the Rayleigh-Gans-Debye Approximation. Optics. 2013, 2(2), 32-37. doi: 10.11648/j.optics.20130202.11

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    AMA Style

    Konstantin A. Shapovalov. Light Scattering by a Prism and Pyramid in the Rayleigh-Gans-Debye Approximation. Optics. 2013;2(2):32-37. doi: 10.11648/j.optics.20130202.11

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  • @article{10.11648/j.optics.20130202.11,
      author = {Konstantin A. Shapovalov},
      title = {Light Scattering by a Prism and Pyramid in the Rayleigh-Gans-Debye Approximation},
      journal = {Optics},
      volume = {2},
      number = {2},
      pages = {32-37},
      doi = {10.11648/j.optics.20130202.11},
      url = {https://doi.org/10.11648/j.optics.20130202.11},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.optics.20130202.11},
      abstract = {The general approach to finding the form factor of a compound particle and a system of particles in the Ray-leigh-Gans-Debye (RGD) approximation is considered. The rotational-translational properties of light scattering amplitude in the RGD approximation are formulated. Using such properties, the analytical expressions for the amplitude of light scattering by a prism and pyramid with an arbitrary polygonal base in the RGD approximation are obtained. The phase functions of light scattering by a prism and pyramid in the RGD approximation are computed.},
     year = {2013}
    }
    

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    AU  - Konstantin A. Shapovalov
    Y1  - 2013/04/02
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    AB  - The general approach to finding the form factor of a compound particle and a system of particles in the Ray-leigh-Gans-Debye (RGD) approximation is considered. The rotational-translational properties of light scattering amplitude in the RGD approximation are formulated. Using such properties, the analytical expressions for the amplitude of light scattering by a prism and pyramid with an arbitrary polygonal base in the RGD approximation are obtained. The phase functions of light scattering by a prism and pyramid in the RGD approximation are computed.
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