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

Figure 14

Quasi-paraxial interaction (𝜃_inc=3^∘) between a lower-branch nonlinear surface wave (with 𝛽=2.0) and a unit-amplitude (𝜂₀=1) soliton in regime 1 (mismatch parameters Δ=0.005 and 𝛼=2.0) with 𝜅=2.5×10⁻³. (a) Evolution in 𝜁 of the peak amplitude |𝑢|_𝑚 of the solution. Parts (b), (c), and (d) show the full numerical solution |𝑢(𝜉,𝜁)| of (5) when the nonlinearity exponent is 𝑞=1, 2 and 3, respectively.

(a)

(b)

(c)

(d)