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Proceedings Paper

Conducting media with spatial dispersion in a microwave field: eigenvalue problem for permittivity operator
Author(s): M. A. Dresvyannikov; A. P. Chernyaev; A. L. Karuzskii; Yu. A. Mityagin; A. V. Perestoronin; N. A. Volchkov
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Paper Abstract

Conducting media with the spatial dispersion may be described formally by a singly operator – an operator of a dielectric permittivity, which completely defines a microwave response of conductors with the spatial dispersion. So the eigenvalue problem for the permittivity operator of conductors and superconductors possessing a strong spatial dispersion at low temperatures is of a great importance since the corresponding solutions are the stable waves for the constitutive equation in a self-consistent microwave field. Here a wave problem is formulated to search the solutions, which correspond to the eigenvalues of a permittivity operator, similar to the relationship and the general solutions are obtained. A significant role of the spatial-type conjugated. Dispersion relationship and general solutions are obtained. A significant role of the spatial-type force resonances is considered. Conditions for the spatial resonances are derived. The obtained resonances include particular solutions corresponding to the related to a polarization, two of which correspond to waves with an amplitude increasing into the depth of a conductor, and two else describes solutions with unusual properties.

Paper Details

Date Published: 18 December 2014
PDF: 9 pages
Proc. SPIE 9440, International Conference on Micro- and Nano-Electronics 2014, 944016 (18 December 2014); doi: 10.1117/12.2180615
Show Author Affiliations
M. A. Dresvyannikov, P.N. Lebedev Physical Institute (Russian Federation)
A. P. Chernyaev, Moscow Institute of Physics and Technology (Russian Federation)
A. L. Karuzskii, P.N. Lebedev Physical Institute (Russian Federation)
Yu. A. Mityagin, P.N. Lebedev Physical Institute (Russian Federation)
A. V. Perestoronin, P.N. Lebedev Physical Institute (Russian Federation)
N. A. Volchkov, P.N. Lebedev Physical Institute (Russian Federation)


Published in SPIE Proceedings Vol. 9440:
International Conference on Micro- and Nano-Electronics 2014
Alexander A. Orlikovsky, Editor(s)

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