Nonlinear planar coupler waveguides system in the medium kerr optics

A study of coupling characteristics between two optically nonlinear planar waveguides has been performed in terms of their individual analytical solutions. It is shown that with an appropriate choice of guide widths and proper redefinition of effective propagation constants, the commonly adopted dual waveguide coupled equations can be formally retained even when the optical nonlinearity in each guide is fully taken into account. A specific numerical illustration of the power flow patern was given on the basis of its analytical expression derived from the coupled equations. The result describes the detailed coupling characteristics and its variation with respect to input optical power, demonstrating its viability for active optical device applications.