Figure 1

Geometries of the structure under consideration: (a) metal layer terminates the structure; (b) dielectric layer terminates the structure.Reuse & Permissions

Figure 2

(a),(b) Energy flow vs propagation constant at the interface of metal-dielectric metamaterial in the case of TE polarization. Red (grey) lines correspond to the case when a dielectric layer terminates the structure, black lines correspond to the case when the structure is terminated at a metal layer. Frequency: (a) 2 eV, (b) 4 eV. Shaded rectangles correspond to the areas where the propagating solutions exist either in metamaterial or in vacuum. (c),(d) Characteristic profiles of the electric-field amplitude for the parameters corresponding to the points A and B in (a) and (b), respectively.Reuse & Permissions

Figure 3

(a),(b) Energy flow vs propagation constant at the interface of metal-dielectric metamaterial in the case of TM polarization. Red (grey) lines correspond to the case when dielectric layer terminates the structure, black lines correspond to the case when the structure is terminated on the metal layer. Frequencies: (a) 2 eV, (b) 4 eV. Shaded rectangles correspond to the areas where the propagating solutions exist either in metamaterial or in vacuum. (c)–(f) Profiles of the electric-field amplitude for the values depicted with points A–D in (a) and (b), respectively.Reuse & Permissions

Figure 4

(a) Field map of electric-field distribution for the case of linear state depicted in Fig. 2. (b) Comparison of the numerical result for the field profile at the propagation length 2 $\mu$m [red (grey) lines] and the analytical stationary results (black lines). Excitation frequency is 4 eV.Reuse & Permissions

Figure 5

(a),(b) Field maps of electric-field distribution for the case of nonlinear surface-state excitation. (a) The energy is below the threshold energy and we observe the diffraction of the beam both in vacuum and in metamaterial. (b) The beam energy equal to the threshold energy. In this case the beam localizes at the interface forming a nonlinear surface state. (c) Comparison of numerical results for the field profile $z=2\mu \text{m}$ [red (grey) lines] and analytical stationary results (black lines). Excitation frequency is 2 eV.Reuse & Permissions

Figure 6

Field map of the electric-field distribution after 2-$\mu \text{m}$ propagation distance for the frequency 2 eV and $\beta =2.5k_0$. Horizontal dashed line shows the threshold power predicted with the analytical theory.Reuse & Permissions