Plasmon polaritons of the TE and TM types in a metal film bordering a superlattice I. Properties of impedances of half-infinite media and films

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Abstract

A theoretical investigation is conducted into the behaviour of TE and TM-polarised surface plasmon polaritons in a metal film situated between a periodic superlattice and a homogeneous dielectric, or alternatively, between two periodic superlattices. The dispersion equations are derived in the form of the determinant of a real symmetric matrix equalling zero. The matrix is constituted by the surface impedances of the media and the film. A number of general properties of the impedances and eigenvalues of the matrices entering the dispersion equations are established.

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About the authors

A. N. Darinskii

Shubnikov Institute of Crystallography of Kurchatov Complex of Crystallography and Photonics of NRC “Kurchatov Institute”

Author for correspondence.
Email: Alexandre_Dar@mail.ru
Russian Federation, Moscow

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2. Fig. 1. Semi-infinite complementary SR-A (a) and SR-B (b). SRs with a period of two layers are shown. The layers are of the same color, made of the same material, and have the same thickness, except for the outer layers, the thickness of which is less than the thickness of the inner layers of the same material.

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3. Fig. 2. Frequency dependence of impedances and in the lower forbidden zone: 1 – , 2 –

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4. Fig. 3. Frequency dependences of impedances and in the upper forbidden zone: 1 – , 2

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5. Fig. 4. Frequency dependence of impedance in the lower band gap (1) and upper band gap (1 and 2).

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