Excitation of nonlinear surface modes by wave beams

Excitation of surface wave beams at the interface between linear and nonlinear media

“…2. Comparing the behavior of the incident and grazing beams [17,18], one can notice a strong dependence of their evolution on the incidence angle and the coordinate of the maximum for the incident and grazing beams, respectively, and also on the variation in the amplitude of beams of both types. The dependence of the beam evolution on its width is less pronounced.…”

“…As a result, the restrictions on the parameters of optimal axisymmetric (σ x = σ y = σ) grazing (θ = π/2) beams were found [17,18]:…”

“…with certain amplitude, width, and shift x c of the beam center with respect to the media interface [17,18].…”

“…In [17,18], the method of moments was employed to analyze the equations describing the motion of the beam "mass center"x(z) and the variation in the square of the effective beam width a 2 (z):…”

“…However, due to the instability of one-dimensional NSWs [14,15], this interest shifted towards a search for two-dimensional structures localized near various guiding systems [16]. We studied the formation of two-dimensionally localized NSWs, i.e., nonlinear surface beams (NSBs), in numerical experiments in which the interface of the media was "irradiated" by grazing beams of certain shape [17,18]. In this paper, the main attention is paid to seeking of the optimal (with respect to their efficiency for NSB excitation [19]) region of parameters for Gaussian beams of TE waves incident onto the interface from the linear medium at an angle exceeding that of total internal reflection.…”