Optical Properties of Crystals with Spatial Dispersion: Josephson Plasma Resonance in Layered Superconductors

Abstract

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 $\mathbf{k}$ for a given frequency $\omega$. The generalization of the Fresnel formulas contains the refraction indices of these modes as determined by the dielectric function $\epsilon (\omega ,\mathbf{k})$. 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.

4 pages, 2 figures, epl.cls style file, minor changes

References in corpus (5)

• Storage of light in atomic vapor
• Transverse optical Josephson plasmons, equations of motion
• Observation of the Transverse Optical Plasmon in SmLa0.8Sr0.2CuO4-d
• Static Charge Coupling of Intrinsic Josephson Junction
• Nonequilibrium effects due to charge fluctuations in intrinsic Josephson systems

Cited by in corpus (14)

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• Optical Properties of Layered Superconductors near the Josephson Plasma Resonance
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• Electromagnetic wave refraction at an interface of a double wire medium
• Charge-imbalance effects in intrinsic Josephson systems
• Reflectivity and Microwave Absorption in Crystals with Alternating Intrinsic Josephson Junctions
• Static charge-imbalance effects in intrinsic Josephson systems
• Josephson Plasma Resonance in $B{i}_{2}S{r}_{2}CaC{u}_2{O}_{8+y}$ with Spatially Dependent Interlayer-Phase Coherence
• Optical Resonances in Reflectivity near Crystal Modes with Spatial Dispersion
• Field Dependence of the Josephson Plasma Resonance in Layered Superconductors with Alternating Junctions
• Stationary Charge Imbalance Effect in System of Coupled Josephson Junction
• Shapiro Step at Nonequilibrium Conditions
• Shift of Shapiro Step in High-Temperature Superconductor
• Electronic compressibility and charge imbalance relaxation in cuprate superconductors