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Effect of kinetic boundary conditions on the cross section of the scattering of an electromagnetic wave by a small metal particle

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The scattering cross section of a small spherical metal particle in the presence of a plane electromagnetic wave is calculated in the dipole approximation. On the assumption that the radius of the particle is less than the skin-layer depth, the skin effect is disregarded. The calculations are performed with the aid of the kinetic approach at an arbitrary ratio of the free-path length of electrons to the radius of the particle. The model of the diffuse—specular Fuchs boundary conditions is used to obtain the nonequilibrium distribution function. Asymptotic expressions for large particles are in agreement with the known results of the macroscopic theory.

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  1. A. G. Lesskis, V. E. Pasternak, and A. A. Yushkanov, Sov. Phys. JETP 56, 170 (1982).

    Google Scholar 

  2. E. L. Nagaev, Sov. Phys. Usp. 35, 747 (1992).

    Article  ADS  Google Scholar 

  3. P. M. Tomchuk and N. I. Grigorchuk, Phys. Rev. B 73, 155423 (2006).

    Article  ADS  Google Scholar 

  4. A. G. Lesskis, A. A. Ushkanov, and Yu. I. Yalamov, Poverkhnost’, No. 11, 115 (1987).

    Google Scholar 

  5. S. G. Dorofeev, N. N. Kononov, V. M. Zverolovlev, K. V. Zinov’ev, V. N. Sukhanov, N. M. Sukhanov, and B. G. Gribov, Semiconductors 48, 360 (2014).

    Article  ADS  Google Scholar 

  6. R. Sh. Ikhsanov, I. E. Protsenko, and A. V. Uskov, Tech. Phys. Lett. 39, 450 (2013).

    Article  ADS  Google Scholar 

  7. I. M. Lifshits, M. Ya. Azbel, and M. I. Kaganov, Electron Theory of Metals (Consultants Bureau, New York, 1973).

    Google Scholar 

  8. A. A. Efimov, V. V. Ivanov, A. V. Bagazeev, I. V. Beketov, I. A. Volkov, and S. V. Shcherbinin, Tech. Phys. Lett. 39, 1053 (2013).

    Article  ADS  Google Scholar 

  9. A. L. Stepanov, Tech. Phys. 49, 143 (2012).

    Article  Google Scholar 

  10. N. I. Grigorchuk, J. Appl. Phys. 112, 064306–1 (2012).

    Article  ADS  Google Scholar 

  11. M. Born and E. Wolf, Principles of Optics, 4th ed. (Pergamon, Oxford, 1969).

    Google Scholar 

  12. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 8: Electrodynamics of Continuous Media (Pergamon, New York, 1984).

    Google Scholar 

  13. I, A. Kuznetsova, M. E. Lebedev, and A. A. Yushkanov, Tech. Phys. Lett. 40, 353 (2014).

    Article  ADS  Google Scholar 

  14. K. Fuchs, Proc. Cambridge Philos. Soc. 34, 100 (1938).

    Article  ADS  Google Scholar 

  15. R. Courant, Methods of Mathematical Physics, Vol. 2: Partial Differential Equations (Interscience, New York, 1962).

    Google Scholar 

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Correspondence to M. E. Lebedev.

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Original Russian Text © I.A. Kuznetsova, M.E. Lebedev, A.A. Yushkanov, 2015, published in Zhurnal Tekhnicheskoi Fiziki, 2015, Vol. 85, No. 9, pp. 1–7.

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Kuznetsova, I.A., Lebedev, M.E. & Yushkanov, A.A. Effect of kinetic boundary conditions on the cross section of the scattering of an electromagnetic wave by a small metal particle. Tech. Phys. 60, 1261–1267 (2015).

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