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Theory of dopplerons and dimensional effects in a metal plate

D. É. ZherebchevskiǐDonets Physicotechnical Institute, Academy of Sciences of the Ukrainian SSR and Institute of Radiophysics and Electronics, Academy of Sciences of the Ukrainian SSRЭ. А. КанерDonets Physicotechnical Institute, Academy of Sciences of the Ukrainian SSR and Institute of Radiophysics and Electronics, Academy of Sciences of the Ukrainian SSRV. P. NaberezhnykhDonets Physicotechnical Institute, Academy of Sciences of the Ukrainian SSR and Institute of Radiophysics and Electronics, Academy of Sciences of the Ukrainian SSR
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The impedance of metal plates in a magnetic field normal to the surface is analyzed theoretically. Compensation of a metal with equal electron and hole concentrations is considered. The analysis covers three typical models of a Fermi electron surface: two joined parabolic cups, a corrugated cylinder, and a sphere. General expressions are derived for the impedance corresponding to any arbitrary mode of electron reflections from the plate surface.

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