Advertisement

Methods for Electromagnetic Scattering by Large Axisymmetric Particles with Extreme Geometries

  • Adrian DoicuEmail author
  • Yuri Eremin
  • Dmitry S. Efremenko
  • Thomas Trautmann
Chapter
Part of the Springer Series on Atomic, Optical, and Plasma Physics book series (SSAOPP, volume 99)

Abstract

Several methods for electromagnetic scattering by large axisymmetric particles with extreme geometries are analyzed. These include the discrete sources method and the null-field method with distributed and multiple spherical vector wave functions, as well as, a single spherical coordinate-based null-field method equipped with an analytical approach for computing the elements of the transition matrix. The numerical performances of the methods with distributed and multiple spherical vector wave functions are illustrated through simulations for spheroids and cylinders.

Keywords

Axisymmetric Particles Electromagnetic Scattering Discrete Source Method Null Field Method Spherical Vector Wave Functions 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    A. Doicu, Y. Eremin, T. Wriedt, Acoustic and Electromagnetic Scattering Analysis Using Discrete Sources (Academic Press, London, 2000)zbMATHGoogle Scholar
  2. 2.
    Y. Eremin, A. Sveshnikov, The Discrete Sources Method in Electromagnetic Diffraction Problems (Moscow State University Press, Moscow, 1992)zbMATHGoogle Scholar
  3. 3.
    Y. Eremin, Sov. Phys. Dokl. 28, 451 (1983)ADSGoogle Scholar
  4. 4.
    C. Hafner, The Generalized Multipole Technique for Computational Electromagnetics (Artech House, Boston, 1990)Google Scholar
  5. 5.
    P. Waterman, Proc. IEEE 53, 805 (1965)CrossRefGoogle Scholar
  6. 6.
    P. Waterman, Phys. Rev. D 3, 825 (1971)ADSCrossRefGoogle Scholar
  7. 7.
    P. Barber, S. Hill, Light Scattering by Particles: Computational Methods (World Scientific, Singapore, 1990)CrossRefGoogle Scholar
  8. 8.
    M. Mishchenko, L. Travis, A. Lacis, Scattering, Absorption and Emission of Light by Small Particles (Cambridge University Press, Cambridge, 2002)Google Scholar
  9. 9.
    A. Lakhtakia, V. Varadan, V. Varadan, Appl. Opt. 23, 3502 (1984)ADSCrossRefGoogle Scholar
  10. 10.
    A. Moroz, Appl. Opt. 44, 3604 (2005)ADSCrossRefGoogle Scholar
  11. 11.
    D. Petrov, Y. Shkuratov, G. Videen, Opt. Lett. 32, 1168 (2007)ADSCrossRefGoogle Scholar
  12. 12.
    M. Kahnert, T. Rother, Opt. Express 19, 11138 (2011)ADSCrossRefGoogle Scholar
  13. 13.
    W. Somerville, B. Auguié, E. Le Ru. J. Quant. Spectrosc. Radiat. Trans. 113, 524 (2012)ADSCrossRefGoogle Scholar
  14. 14.
    W. Somerville, B. Auguié, E. Le Ru. J. Quant. Spectrosc. Radiat. Trans. 123, 153 (2013)ADSCrossRefGoogle Scholar
  15. 15.
    D. Petrov, E. Synelnyk, Y. Shkuratov, G. Videen, J. Quant. Spectrosc. Radiat. Trans. 102, 85 (2006)ADSCrossRefGoogle Scholar
  16. 16.
    D. Petrov, G. Videen, Y. Shkuratov, M. Kaydash, J. Quant. Spectrosc. Radiat. Trans. 108, 81 (2007)ADSCrossRefGoogle Scholar
  17. 17.
    D. Petrov, Y. Shkuratov, G. Videen, J. Quant. Spectrosc. Radiat. Trans. 109, 1474 (2008)ADSCrossRefGoogle Scholar
  18. 18.
    D. Petrov, Y. Shkuratov, G. Videen, J. Opt. 12 (2010). http://dx.doi.org/10.1088/2040-8978/12/9/095701
  19. 19.
    D. Petrov, Y. Shkuratov, G. Videen, J. Quant. Spectrosc. Radiat. Trans. 112, 1636 (2011)ADSCrossRefGoogle Scholar
  20. 20.
    M. Mishchenko, L. Travis, Opt. Commun. 109, 16 (1994)ADSCrossRefGoogle Scholar
  21. 21.
    M. Iskander, A. Lakhtakia, C. Durney, IEEE Trans. Antennas Propagat. 31, 317 (1983)ADSCrossRefGoogle Scholar
  22. 22.
    A. Lakhtakia, V. Varadan, V. Varadan, J. Opt. Soc. Am. A 76, 906 (1984)CrossRefGoogle Scholar
  23. 23.
    R. Bates, D. Wall, Phil. Trans. R. Soc. Lond. 287, 45 (1977)ADSCrossRefGoogle Scholar
  24. 24.
    R. Hackman, J. Acoust. Soc. Am. 75, 35 (1984)ADSMathSciNetCrossRefGoogle Scholar
  25. 25.
    A. Doicu, T. Wriedt, Y. Eremin, Light Scattering by Systems of Particles (Springer, Berlin, 2006)CrossRefzbMATHGoogle Scholar
  26. 26.
    D. Bailey, ACM Trans. Math. Softw. 21, 379 (1995)CrossRefGoogle Scholar
  27. 27.
    W. Somerville, B. Auguié, E. Le Ru. Opt. Lett. 36, 3482 (2011)ADSCrossRefGoogle Scholar
  28. 28.
    T. Ogita, S. Rump, S. Oishi, SIAM J. Sci. Comput. 26, 1955 (2005)MathSciNetCrossRefGoogle Scholar
  29. 29.
    J. Bruning, Y. Lo, IEEE Trans. Antennas Propagat. 19, 378 (1971)ADSCrossRefGoogle Scholar
  30. 30.
    Y. Xu, J. Comput. Appl. Math. 85, 53 (1971)CrossRefGoogle Scholar
  31. 31.
    S. Rump, Jpn. J. Indust. Appl. Math. 26, 249 (2009)CrossRefGoogle Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Adrian Doicu
    • 1
    Email author
  • Yuri Eremin
    • 2
  • Dmitry S. Efremenko
    • 1
  • Thomas Trautmann
    • 1
  1. 1.Remote Sensing Technology InstituteGerman Aerospace Centre (DLR)OberpfaffenhofenGermany
  2. 2.Lomonosov Moscow State UniversityLenin’s Hills MoscowRussia

Personalised recommendations