Calculating Nonlinear Kerr Coefficient for a Waveguide

摘要

Calculating a non-linear Kerr coefficient in a waveguide. Formulating equations based on Maxwell's equations which represent propagation of an electro-magnetic wave down the waveguide based on the material properties of the waveguide and the geometry of the waveguide. Producing discretized equations. Solving the discretized equations using an eigenvalue solving technique for a set of electro-optical waves with a frequency ω and a wavenumber β in the non-linear regime and a wavenumber β₀ in the linear regime. Wherein the eigenvalue is related to the wavenumbers (β, β₀). Wherein a power P of the electromagnetic wave is related to an eigenfunction. Calculating a nonlinear Kerr coefficient γ based on (β, β₀, P).