10 FIG. 4: (Color online) (a) The reflectivity coefficient | R | 2 versus the incident angle θ calculated numerically for the parameters ν$_{ab}$ = 10 $^{$_{−}$3}$, γ = 200, ε = 16, ε$_{p}$ = 4, and Ω = 135. These parameters correspond to the solid square on the dispersion curve in Fig. 2. The thickness δ of the vacuum gap (see Fig. 3) is one wavelength, kδ = 2 π . The vertical dashed line at θ = 30 ◦ corresponds to the limit angle of the total internal reflection. (b) The reflectivity coefficient | R | 2 versus frequency, Ω = ω/ω$_{J}$ , for θ = 30 . 6 ◦ . (c) Color contour plot of the reflectivity coefficient | R | 2 in the plane ( θ, Ω). The dispersion relation for the waves in the dielectric-vacuum-layered superconductor system in Fig. 3 is presented by the solid white curve.