We derive an equation that describes the nonlinear operation of a Fabry-Perot resonator with a large group index waveguide. Specifically, a silicon photonic crystal microcavity with two-photon-excited free carrier nonlinearity and Kerr nonlinearity is assumed. The equation clearly explains the bistability of the device and the reduction of the required pump energy for a specific nonlinear phase...

We introduce a model combining Kerr nonlinearity with a periodically changing sign (“nonlinearity management”) and a Bragg grating (BG). The main result, obtained by means of systematic simulations, is presented in the form of a soliton’s stability diagram on the parameter plane of the model; the diagram turns out to be a universal one, as it practically does not depend on the soliton’s power. ...

Dark solitons and localized defect modes against periodic backgrounds are considered in arrays of waveguides with defocusing Kerr nonlinearity constituting a nonlinear lattice. Bright supported by local increase the nonlinearity, while dark decrease nonlinearity. exist for both types defect, although case weak they feature side bright humps making total energy propagating through system larger ...

We propose a dynamic Kerr effect experiment for the distinction between dynamic heterogeneous and homogeneous relaxations in glassy systems. The possibility of this distinction is due to the inherent nonlinearity of the Kerr effect signal. We model the slow reorientational molecular motion in supercooled liquids in terms of noninertial rotational diffusion. The Kerr effect response, consisting ...

some preliminaries about the integrable families of riccati equations and solutions structure of these equations in several cases are presented in this paper, then by using of definitions for fractional derivative we apply the new extended of tanh method to the perturbed nonlinear fractional schrodinger equation with the kerr law nonlinearity. finally by using of this method and solutions of ri...