A Novel Interactive Approach for Modal Analysis of Nonlinear Waveguides Based on a Fully Hybrid Vectorial Finite Element Method

An interactive method for solving full anisotropic nonlinear wave guiding problems is presented. To do this, a vectorial flnite element scheme using edge/nodal basis element with curved triangle is discussed. Actually, there are two methods commonly used to flnd the station- ary solutions of nonlinear structures. The flrst one has already been realized using a vectorial formulation but that procedure only computes stable modes, which means that for those situ- ations where bistability efiects are present, the solution does not converge and such efiects can not be properly discussed. Contrary to the former, the second one has the main characteristic of always reaching convergence, being very useful to describe bistable behaviour and nonlinear switching characteristics, but it has been implemented considering only scalar electromagnetic fleld modelling. Here, we will describe and present results of a new approach in which its main characteristics are the presence of all electric fleld components with no need of any adjust pa- rameters, and the possibility to deal with a full nonlinear permittivity tensor.