The linear wave scattering by a non-linear defect

Author(s):  S.E. Savotchenko, Dr., Prof., Belgorod State Technological University named after V.G. Shukhov, Belgorod, Russia,

Issue:  Volume 50, № 3

Rubric:  Physics

Annotation:  The scattering problem of a monochromatic light wave propagating in a linear optical medium on a plane ultrathin optical layer (waveguide) with a nonlinear response is considered. The mathematical formulation of the model reduces to a one-dimensional boundary-value problem for the nonlinear Schrödinger equation. The nonlinearity in the equation is taken into account only inside the waveguide. The case of Kerr nonlinearity is analyzed in detail. We also consider the case of nonlinearity of an arbitrary form, which makes it possible to obtain results in a general form. It is shown that it is possible to completely propagate the wave through a flat defect. The conditions of resonance realizing are determined. It is derived that complete wave propagation with nonzero defect parameters can occur only when the nonlinear properties of the defect are taken into account

Keywords:  Schrödinger equation, scattering problem, transmission coefficient, reflection coefficient, planar defect, interface, waves

Full text (PDF):  Download

Downloads count:  309