Abstract
We obtain the solution to the problem of the skin effect in a metal with specular-diffusion boundary conditions for arbitrary values of the anomaly parameter in the form of the Neumann series. For this purpose, we develop a method based on the idea of representation of not only the boundary condition imposed on the field (as is conventionally done), but also the boundary condition imposed on the distribution function, in the form of a source. The specular reflectance is an arbitrary function of the angle of incidence of electrons on the metal surface.
Similar content being viewed by others
References
A. V. Latyshev and A. A. Yushkanov, Phys. Met. Metallogr. 105, 236 (2008).
J. M. Ziman, Electrons and Phonons (Clarendon, Oxford, 1960; Inostrannaya Literatura, Moscow, 1962).
A. F. Andreev, Usp. Fiz. Nauk 105, 113 (1971) [Sov. Phys. Usp. 14, 609 (1971)].
A. A. Abrikosov, Fundamentals of the Theory of Metals (Nauka, Moscow, 1977; North-Holland, Amsterdam, 1988).
P. M. Platzman and P. A. Wolff, Waves and Interactions in Solid State Plasmas (Academic, New York, 1973; Mir, Moscow, 1975).
G. E. H. Reuter and E. H. Sondheimer, Proc. R. Soc. London, Ser. A 195, 336 (1948).
K. L. Kliewer and R. Fuchs, Phys. Rev. 172, 607 (1968).
L. E. Hartmann and J. M. Luttinger, Phys. Rev. 151, 430 (1966).
V. I. Miroshnichenko and V. N. Ostroushko, Elektromagn. Yavlen. 2, 324 (2001).
A. V. Latyshev and A. A. Yushkanov, Zh. Vychisl. Mat. Mat. Fiz. 39, 989 (1999).
E. V. Zavitaev and A. A. Yushkanov, Zh. Vychisl. Mat. Mat. Fiz. 130, 887 (2006).
R. G. Chambers, Proc. R. Soc. London, Ser. A 202, 378 (1950).
V. Ginzburg and G. P. Motulevich, Usp. Fiz. Nauk 55, 469 (1955).
R. Esquivel and V. B. Svetovoy, arXiv:quant-ph/0404073.
A. V. Latyshev and A. A. Yushkanov, Comp. Math. Math. Phys. 49, 131 (2009).
E. M. Lifshitz and L. P. Pitaevsky, Physical Kinetics (Nauka, Moscow, 1979; Pergamon, Oxford, 1981).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.V. Latyshev, A.A. Yushkanov, 2010, published in Zhurnal Tekhnicheskoĭ Fiziki, 2010, Vol. 80, No. 9, pp. 1–7.
Rights and permissions
About this article
Cite this article
Latyshev, A.V., Yushkanov, A.A. Effect of the dependence of the specular reflectance on the angle of incidence of electrons on the impedance. Tech. Phys. 55, 1233–1239 (2010). https://doi.org/10.1134/S106378421009001X
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S106378421009001X