Helmholtz Bright Spatial Solitons and Surface Waves at Power-Law Optical Interfaces

Figure 11

Nonlinear surface wave profiles for 𝜅=2.5×10⁻³ in (a) regime 1 (with Δ=0.005 and 𝛼=2.0) and (b) regime 2 (with Δ=−0.005 and 𝛼=0.5). From (21), one has that 4𝜅𝛽_min=0.005 and hence 𝛽_min=0.5 for the solutions in (a), while 4𝜅𝛽_min=0.01 and hence 𝛽_min=1.0 in (b). In these profiles, 𝛽=2.0 so that 𝛽>𝛽_min in each case. The + and − signs in the legends refer to the choice of sign solution in (20a) and (20b).

(a)

(b)