A new type of nonlinear slab-guided waves

Discrete surface solitons

“…Material nonlinearity is another mechanism through which optical surface waves can exist [42][43][44][45][46][47]. In particular, nonlinear TE, TM, and mixed-polarization surface waves traveling along the interface between two or more dielectric interfaces were theoretically predicted and analyzed [42].…”

“…47) Under the continuum approximation, we replace DNLSE by the continuous NLSE by applying the followingTaylorseries expansion: was replaced by u . Applying this expansion to Equation 2.47, one can obtain the following continuous evolution equation for the field envelope .…”

Observation of Discrete Surface Solitons

“…In nonlinear optics, nonlinear surface waves have also been extensively studied [9][10][11][12][13][14][15]. In particular, nonlinear TE, TM, and mixed-polarization surface waves traveling along single dielectric interfaces were theoretically predicted and analyzed in several works [9].…”

“…Because the nonlinearity is of the self-focusing type, here we are only searching for in-phase solutions, i.e., all the fields u n are taken to be positive [22]. The interface soliton properties discovered there mirrored closely the characteristic of surface solitons between continuous media [9][10][11][12][13][14]. Namely, there is a power threshold for existence, a stable branch in which the localization increases with power and the evanescent field decays into the lowerindex medium.…”

Collisions between discrete spatiotemporal dissipative Ginzburg-Landau solitons in two-dimensional photonic lattices

“…In the 1980s a great deal of interest arose in nonlinear optical surface waves guided by single and multiple interfaces separating different media [1][2][3][4][5][6][7][8][9][10][11][12][13]. These electromagnetic surface waves are a purely nonlinear phenomenon with no counterpart in the linear limit; they exist only if the mode power exceeds a certain threshold.…”