Geometrically induced non-linear phenomena of the TE11-mode in a rectangular optical waveguide

Abstract

Retaining all significant terms of Maxwell equations, we derive a generalized governing equation for waves in a Kerr-nonlinear, rectangular optical waveguide. As a specific example, we show that the field components of the TE11-mode in such a waveguide will achieve oscillations in both amplitude and phase during propagation. The nonlinearity appear only in a characteristic length scale of these phenomena, whereas the overall properties of the oscillations are determined by the waveguide geometry.