Table of Contents Author Guidelines Submit a Manuscript
Advances in Mathematical Physics
Volume 2017 (2017), Article ID 7862462, 7 pages
https://doi.org/10.1155/2017/7862462
Research Article

Analysis of Waterman’s Method in the Case of Layered Scatterers

1St. Petersburg State University of Aerospace Instrumentation, Bol. Morskaya 67, St. Petersburg 190000, Russia
2St. Petersburg University, Universitetsky Pr. 28, St. Petersburg 198504, Russia
3Pulkovo observatory, Pulkovskoe Sh. 65/1, St. Petersburg 196140, Russia

Correspondence should be addressed to Vladimir Il’in

Received 6 September 2016; Accepted 21 December 2016; Published 16 January 2017

Academic Editor: Antonio Scarfone

Copyright © 2017 Victor Farafonov et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. P. C. Waterman, “Matrix formulation of electromagnetic scattering,” Proceedings of the IEEE, vol. 53, no. 8, pp. 805–812, 1965. View at Publisher · View at Google Scholar · View at Scopus
  2. P. C. Waterman, “Scattering by dielectric obstacles,” Alta Frequenza, vol. 38, pp. 348–352, 1969. View at Google Scholar
  3. M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Scattering, Absorption, and Emission of Light by Small Particles, Cambridge University Press, 2002.
  4. M. I. Mishchenko, N. T. Zakharova, N. G. Khlebtsov, G. Videen, and T. Wriedt, “Comprehensive thematic T-matrix reference database: a 2014-2015 update,” Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 178, pp. 276–283, 2016. View at Publisher · View at Google Scholar · View at Scopus
  5. P. C. Waterman, “Matrix methods in potential theory and electromagnetic scattering,” Journal of Applied Physics, vol. 50, no. 7, pp. 4550–4566, 1979. View at Publisher · View at Google Scholar · View at Scopus
  6. T. Rother and M. Kahnert, Electromagnetic wave scattering on nonspherical particles, vol. 145 of Springer Series in Optical Sciences, Springer, Heidelberg, Germany, 2nd edition, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  7. M. I. Mishchenko and L. D. Travis, “T-matrix computations of light scattering by large spheroidal particles,” Optics Communications, vol. 109, no. 1-2, pp. 16–21, 1994. View at Publisher · View at Google Scholar · View at Scopus
  8. V. G. Farafonov and V. B. Il'in, “On the applicability of a spherical basis for spheroidal layered scatterers,” Optics and Spectroscopy, vol. 115, no. 5, pp. 745–752, 2013. View at Publisher · View at Google Scholar · View at Scopus
  9. A. G. Kyurkchan and N. I. Smirnova, Mathematical Modeling in Diffraction Theory Based on a Priori Information on the Analytical Properties of the Solution, Elsevier, 2015.
  10. W. R. C. Somerville, B. Auguié, and E. C. Le Ru, “Accurate and convergent T-matrix calculations of light scattering by spheroids,” Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 160, pp. 29–35, 2015. View at Publisher · View at Google Scholar
  11. V. Farafonov, V. Il'in, V. Ustimov, and M. Prokopjeva, “On the analysis of Waterman's approach in the electrostatic case,” Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 178, pp. 176–191, 2016. View at Publisher · View at Google Scholar · View at Scopus
  12. V. G. Farafonov, B. V. Il'in, and M. S. Prokopjeva, “Light scattering by multilayered nonspherical particles: a set of methods,” Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 79-80, pp. 599–626, 2003. View at Publisher · View at Google Scholar · View at Scopus
  13. V. G. Farafonov and M. V. Sokolovskaja, “Construction of the Rayleigh approximation for axisymmetric multilayered particles, making use of eigenfunctions of the Laplace operator,” Journal of Mathematical Sciences, vol. 194, pp. 104–116, 2013. View at Google Scholar
  14. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles, Wiley, Hoboken, NJ, USA, 1983.
  15. V. G. Farafonov and V. B. Il'in, Light Scattering Reviews, Springer, 2006.
  16. L. V. Kantorovich and V. I. Krylov, Approximate Methods of Higher Analysis, Interscience, 1958. View at MathSciNet
  17. H. Kang and G. W. Milton, “Solutions to the Pólya–szegö conjecture and the weak Eshelby conjecture,” Archive for Rational Mechanics and Analysis, vol. 188, no. 1, pp. 93–116, 2008. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus