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

Konstantin A. Shapovalov

doi:doi:10.11648/j.optics.20130202.11

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

Konstantin A. Shapovalov

Published in Optics (Volume 2, Issue 2)

Published: 2 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.

Published in	Optics (Volume 2, Issue 2)
DOI	10.11648/j.optics.20130202.11
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), 2013. Published by Science Publishing Group

Keywords

Optically “Soft” Particles, Form Factor, Phase Function

References

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[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.
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[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).

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APA Style

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://article.sciencepublishinggroup.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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TY  - JOUR
T1  - Light Scattering by a Prism and Pyramid in the Rayleigh-Gans-Debye Approximation
AU  - Konstantin A. Shapovalov
Y1  - 2013/04/02
PY  - 2013
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T2  - Optics
JF  - Optics
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PB  - Science Publishing Group
SN  - 2328-7810
UR  - https://doi.org/10.11648/j.optics.20130202.11
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.
VL  - 2
IS  - 2
ER  -

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Author Information

Konstantin A. Shapovalov

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://article.sciencepublishinggroup.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}
}

Copy | Download

TY  - JOUR
T1  - Light Scattering by a Prism and Pyramid in the Rayleigh-Gans-Debye Approximation
AU  - Konstantin A. Shapovalov
Y1  - 2013/04/02
PY  - 2013
N1  - https://doi.org/10.11648/j.optics.20130202.11
DO  - 10.11648/j.optics.20130202.11
T2  - Optics
JF  - Optics
JO  - Optics
SP  - 32
EP  - 37
PB  - Science Publishing Group
SN  - 2328-7810
UR  - https://doi.org/10.11648/j.optics.20130202.11
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.
VL  - 2
IS  - 2
ER  -

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