Skip to main content
Log in

On the determination of the electromagnetic field upon scattering by a small inhomogeneous spherical object

  • Atoms, Molecules, Optics
  • Published:
Journal of Experimental and Theoretical Physics Aims and scope Submit manuscript

Abstract

An efficient and fairly simple method of solving the problem of the incidence of a plane electromagnetic wave on an inhomogeneous object with specified spherically symmetric distributions of its electric permittivity and magnetic permeability is presented. The fields inside the object and the integrated scattering and absorption cross sections are found by assuming the object to be small compared to the vacuum wavelength. Since no constraints are imposed on the scales of the fields inside the object, the method is suitable for investigating complex cases, including those associated with the local amplification and absorption of the electromagnetic field in inhomogeneous resonant media.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. G. Mie, Ann. Phys. 330, 377 (1908).

    Article  Google Scholar 

  2. J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941).

    MATH  Google Scholar 

  3. J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1998, Mir, Moscow, 1965).

    MATH  Google Scholar 

  4. M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge Univ., UK, 2002).

    Google Scholar 

  5. F. A. Albini, J. Appl. Phys. 33, 3032 (1962).

    Article  ADS  MathSciNet  Google Scholar 

  6. P. J. Wyatt, Phys. Rev. 127, 1837 (1962).

    Article  ADS  Google Scholar 

  7. V. B. Gil’denburg, Sov. Phys. JETP 18, 1359 (1963).

    Google Scholar 

  8. D. Arnush, IEEE Trans. Anten. Propag. 12, 86 (1964).

    Article  ADS  MathSciNet  Google Scholar 

  9. R. S. Margulies and F. L. Scarf, IEEE Trans. Anten. Propag. 12, 91 (1964).

    Article  ADS  MathSciNet  Google Scholar 

  10. V. B. Gil’denburg and I. G. Kondrat’ev, Radiotekh. Elektron. 10, 658 (1965).

    Google Scholar 

  11. P. Bisbing, IEEE Trans. Anten. Propag. 14, 219 (1966).

    Article  ADS  Google Scholar 

  12. E. Buley, IEEE Trans. Anten. Propag. 15, 677 (1967).

    Article  ADS  Google Scholar 

  13. V. A. Permyakov, Radiophys. Quantum Electron. 11, 294 (1968).

    Article  ADS  Google Scholar 

  14. G. C. Kokkorakis and J. G. Fikioris, IEEE Trans. Anten. Propag. 55, 3178 (2007), IEEE Trans. Anten. Propag. 63, 875 (2015).

    Article  ADS  MathSciNet  Google Scholar 

  15. E. Bilgin and A. Yapar, IEEE Trans. Anten. Propag. 63, 2677 (2015).

    Article  ADS  MathSciNet  Google Scholar 

  16. G. P. Zouros and G. C. Kokkorakis, IEEE Trans. Microwave Theory Tech. 63, 3054 (2015).

    Article  ADS  Google Scholar 

  17. G. P. Zouros and G. C. Kokkorakis, IEEE Trans. Anten. Propag. 63, 2665 (2015).

    Article  ADS  MathSciNet  Google Scholar 

  18. Z. S. Wu and Y. P. Y. Wang, Radio Sci. 26, 1393 (1991).

    Article  ADS  Google Scholar 

  19. B. R. Johnson, Appl. Opt. 35, 3286 (1996).

    Article  ADS  Google Scholar 

  20. R. A. Shore, IEEE Anten. Propag. Mag. 57 (6), 69 (2015).

    Article  ADS  Google Scholar 

  21. L. Cao, J. L. W. Li, and J. Hu, IEEE Trans. Anten. Propag. 61, 836 (2013).

    Article  ADS  MathSciNet  Google Scholar 

  22. M. I. Mishchenko, L. D. Travis, and D. W. Mackowski, J. Quant. Spectrosc. Rad. Transfer 55, 535 (1996).

    Article  ADS  Google Scholar 

  23. M. Yu. Glyavin, S. V. Golubev, I. V. Izotov, et al., Appl. Phys. Lett. 105, 174101 (2014).

    Article  ADS  Google Scholar 

  24. Yu. V. Bykov, K. I. Rybakov, and V. E. Semenov, J. Phys. D: Appl. Phys. 34, R55 (2001).

    Article  ADS  Google Scholar 

  25. V. B. Gildenburg, V. A. Kostin, and I. A. Pavlichenko, Phys. Plasmas 18, 092101 (2011).

    Article  ADS  Google Scholar 

  26. B. Z. Katsenelembaum, High Frequency Electrodynamics (Nauka, Moscow, 1966) [in Russian].

    Google Scholar 

  27. V. A. Ambartsumyan, Zh. Eksp. Teor. Fiz. 13, 323 (1943).

    Google Scholar 

  28. S. Chandrasekhar, Radiative Transfer (Dover, New York, 1960; Inostr. Liter., Moscow, 1953).

    MATH  Google Scholar 

  29. V. I. Klyatskin, Method of Submergence in Wave Propagation Theory (Nauka, Moscow, 1986) [in Russian].

    Google Scholar 

  30. A. G. Shalashov and E. D. Gospodchikov, Plasma Phys. Control. Fusion 52, 025007 (2010).

    Article  ADS  Google Scholar 

  31. A. G. Shalashov and E. D. Gospodchikov, Phys. Usp. 55, 147 (2011).

    Article  ADS  Google Scholar 

  32. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 8: Electrodynamics of Continuous Media (Fizmatlit, Moscow, 2005; Pergamon, New York, 1984), Problem No. 1.

    Google Scholar 

  33. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983), Appendix A. http://www.astro.princeton. edu/draine/scattering.html.

    Google Scholar 

  34. V. L. Ginzburg, Propagation of Electromagnetic Waves in Plasma (Nauka, Moscow, 1967; Addison Wesley, London, 1970).

    Google Scholar 

  35. http://www.wolfram.com/mathematica.

  36. A. G. Shalashov, S. V. Golubev, E. D. Gospodchikov, and A. V. Vodopyanov, in Proceedings of the 8th International Workshop on Strong Microwaves and Terahertz Waves: Sources and Applications, Nizhny Novgorod, 2011 (IAP RAS, Nizhny Novgorod, 2011), p. 194.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. G. Shalashov.

Additional information

Original Russian Text © A.G. Shalashov, E.D. Gospodchikov, 2016, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2016, Vol. 123, No. 4, pp. 683–697.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shalashov, A.G., Gospodchikov, E.D. On the determination of the electromagnetic field upon scattering by a small inhomogeneous spherical object. J. Exp. Theor. Phys. 123, 587–600 (2016). https://doi.org/10.1134/S1063776116100083

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063776116100083

Navigation