Conducting media with spatial dispersion in a microwave field:  eigenvalue problem for permittivity operator

M. A. Dresvyannikov; A. P. Chernyaev; A. L. Karuzskii; Yu. A. Mityagin; A. V. Perestoronin; N. A. Volchkov

doi:10.1117/12.2180615

18 December 2014 Conducting media with spatial dispersion in a microwave field: eigenvalue problem for permittivity operator

M. A. Dresvyannikov, A. P. Chernyaev, A. L. Karuzskii, Yu. A. Mityagin, A. V. Perestoronin, N. A. Volchkov

Author Affiliations +

Proceedings Volume 9440, International Conference on Micro- and Nano-Electronics 2014; 944016 (2014) https://doi.org/10.1117/12.2180615
Event: The International Conference on Micro- and Nano-Electronics 2014, 2014, Zvenigorod, Russian Federation

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.

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M. A. Dresvyannikov, A. P. Chernyaev, A. L. Karuzskii, Yu. A. Mityagin, A. V. Perestoronin, and N. A. Volchkov "Conducting media with spatial dispersion in a microwave field: eigenvalue problem for permittivity operator", Proc. SPIE 9440, International Conference on Micro- and Nano-Electronics 2014, 944016 (18 December 2014); https://doi.org/10.1117/12.2180615

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