FINITE ELEMENT BEAM PROPAGATION METHOD FOR NONLINEAR OPTICAL WAVEGUIDES

A new beam propagation method based on the finite element method (FE-BPM) has been developed for the analysis of nonlinear optical waveguides. A formulation for the FE-BPM that is applicable not only to the TE mode but also to the TM mode is presented. Various techniques for enhancing the performance of the FE-BPM are introduced, including the Pade equation of wide-angle beam propagation, the transparent boundary condition, the perfect matched layer condition for prevention of spurious reflection from the edge of the analysis region, and an algorithm for adaptive updating of the reference index of refraction and the finite-element grids. Beam propagation analysis of spatial soliton emission in a nonlinear optical waveguide is performed in order to investigate the performance of the new FE-BPM. © 1999 Scripta Technica, Electron Comm Jpn Pt 2, 82(4): 47–53, 1999

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