Two Disperse Particles in the Field of the Electromagnetic Radiation

  • Irina V. Krivenko
  • Aleksei V. Klinger
  • Ludmila A. Uvarova


In this work we investigated the heat transfer in the system of two disperse particles. It was received the solution of the stationary Maxwell’s equatons for the system of two spherical absorbent particles within the framework of Mie theory. On this basis it was found the expressions for the heat sources and the solution of the heat transfer equation for these sources.


Disperse Particle Electromagnetic Radiation Spherical Coordinate System Electromagnetic Plane Wave Absorptive Energy 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    P.K. Aravind, A. Nitzan. Interaction between electromagnetic resonances, Surf. Sci., v. 110, 189–204 (1981).Google Scholar
  2. 2.
    R. Ruppin. Optical absorption of two spheres, J. Of Phys. Soc. of Japan, v. 58, 14461451 (1989)Google Scholar
  3. 3.
    P.A. Wyatt. Scattering of electromagnetic plane waves from inhomogeneous spherically symmetric objects. Phys. Rew, v. 127, 1837–1843 (1962).CrossRefGoogle Scholar
  4. 4.
    A.Bott, W.Zdunkowski. Electromagnetic energy within dielectric spheres, J. Opt. Soc.Am. A., v. 4, 1361–1365 (1987).Google Scholar
  5. 5.
    A.P. Prishivalko, Optical and heat fields inside radiation scattering particles ( Nauka i technica, Minsk, 1983 ) (in Russian).Google Scholar
  6. 6.
    N.N. Belov. Distribution of radiation field inside spherical particle, Reports of RAS, v.292, 1360 —1363 (1987) (in Russian).Google Scholar
  7. E.A. Ivanov. Scattering of electromagnetic plane wave by an ensemble of spheres, Dif. Uravnen., v. 2, 1285–1297 (1969) (in Russian).Google Scholar
  8. 8.
    K.A. Fuller, J.W. Kattawar. Consumate solution to the problem of classical electromagnetic scattering by an ensemble of spheres. 1.: Linear chains, Opt. Letters, v. 13, 90–92 (1988).CrossRefGoogle Scholar
  9. 9.
    K.A. Fuller, J.W. Kattawar. Consumate solution to the problem of classical electromagnetic scattering by an ensemble of spheres. 2.: Clusters of arbitrary configuration, Opt. Letters, v. 13, 1063–1065 (1988).CrossRefGoogle Scholar
  10. 10.
    B.U. Felderhof, R.B. Jones. Addition theorems for spherical wave solutions of the vector Helmholtz equation, J. Math. Phys., v. 28, 836–839 (1987).MathSciNetzbMATHCrossRefGoogle Scholar
  11. 11.
    Yu.A. Yeremin, N.V. Orlov, V.I. Rozenberg. Analysis of wave scattering by an ensemble of particles, Optica i spectroskopiya, v.75, 115 —122 (1993) (in Russian).Google Scholar
  12. 12.
    I.V.Krivenko. Calculation of interaction of electromagnetic radiation with spherical absorbent particles, Mathematical methods in chemistry, 137–144 (Tver State University, 1994 ) (in Russian).Google Scholar
  13. 13.
    N. I. Gamayunov, I.V. Krivenko, L.A. Uvarova, Yu.Z. Bondarev. Peculiarities of electromagnetic radiation transport in aerosol systems “particle — continuum medium — particle”, Proceedings of International Aerosol Symposium IAS-2, v.1, 27 (Moscow, 1995 ).Google Scholar
  14. 14.
    M. Born and E. Wolf, Principles of Optics ( Pergamon Press, New York., 1959 ).zbMATHGoogle Scholar
  15. 15.
    N.Ya. Vilenkin, 1956, The special functions and theory of the representation of groups, Science, Moscow, 588 p.Google Scholar
  16. 16.
    V.I. Rozenberg„ Scattering and relaxation of the electromagnetic radiation by atmospheric particles ( Gidrometizdat, Leningrad, 1972 ).Google Scholar
  17. 17.
    N.I. Gamayunov, I.V. Krivenko, L.A. Uvarova, Yu.Z. Bondarev. The peculiarities of the spreading of electromagnetic radiation and initiated by it heat transfer in the system aerosol particles - surrounding medium, Journal of Physical Chemistry, v. 71(12), 2270 — 2274 (1997).Google Scholar
  18. 18.
    A.P. Prishivalko, L.G.Astaf eva. Distribution of energy inside radiation scattering particles, Preprint (Institute of Physics, Minsk, 1974) (in Russian).Google Scholar
  19. 19.
    N.N.Belov. Structure of optical field inside spheres and heat explosion of particles, Fizika goreniya i vzryva, v.4, 44–48 (1987) (in Russian).Google Scholar
  20. 20.
    A.V. Lykov, Theory of heat transfer (Vysshaya Shkola, Moscow, 1967) in Russian.).Google Scholar
  21. 21.
    E.R. Shchukin, N.V. Malay. The photophoretical and thermodiffusiophoretical motion of aerosol particles, Engineering - Physical Journal, v.. 54 (4), 628 — 634 (1988) (in Russian).Google Scholar

Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Irina V. Krivenko
    • 1
  • Aleksei V. Klinger
    • 1
  • Ludmila A. Uvarova
    • 2
  1. 1.Tver Technical State UniversityTverRussia
  2. 2.Moscow State University of Technology “STANKIN”MoscowRassia

Personalised recommendations