Galerkin Finite-Element Method for the Analysis of the Second Harmonic Generation in Wagon Wheel Fibers

Abstract

Abstract-The nonlinear effects of the second harmonic generation have been investigated for the propagation of light along the axis of fibers of wagon wheel cross sectional shape. Nodal finite element formulation is utilized to obtain discretized Helmholtz equations under appropriate boundary conditions. The hierarchical p-version nodal elements are used for meshing the cross section of wagon wheel fiber. The fiber material has been chosen to be LiTaO 3 to provide proper second harmonic generation. Propagation of generated second harmonics for two incident field amplitudes are studied in this work.