Physics – Condensed Matter – Superconductivity
Scientific paper
2001-05-07
Europhys. Lett. {\bf 58}, 415 (2002)
Physics
Condensed Matter
Superconductivity
4 pages, 2 figures, epl.cls style file, minor changes
Scientific paper
10.1209/epl/i2002-00655-3
We derive the transmission coefficient, $T(\omega)$, for grazing incidence of crystals with spatial dispersion accounting for the excitation of multiple modes with different wave vectors ${\bf k}$ for a given frequency $\omega$. The generalization of the Fresnel formulas contains the refraction indices of these modes as determined by the dielectric function $\epsilon(\omega,{\bf k})$. Near frequencies $\omega_e$, where the group velocity vanishes, $T(\omega)$ depends also on an additional parameter determined by the crystal microstructure. The transmission $T$ is significantly suppressed, if one of the excited modes is decaying into the crystal. We derive these features microscopically for the Josephson plasma resonance in layered superconductors.
Bishop Alan R.
Bulaevskii Lev N.
Helm Ch.
Maley Martin P.
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