| Authors: | K. Quang Le, R. Godoy-Rubio, P. Bienstman, G. Ronald Hadley | | Title: | A Three-Dimensional Non-Paraxial Beam Propagation Method using Complex Jacobi Iteration | | Format: | International Conference Presentation | | Publication date: | 9/2008 | | Journal/Conference/Book: | International workshop on photonics and applications
| | Location: | Nha Trang, Vietnam | | Citations: | Look up on Google Scholar
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Abstract
A new complex Jacobi iterative technique adapted for the solution of three-dimensional (3D) non-paraxial beam propagation is presented. The effectiveness of our new approach is demonstrated in comparison with the traditional direct matrix inversion. Our method is targeted towards large waveguide structures with a long path length. The beam propagation equation for analysis of optical propagation in waveguide structures is based on a novel modified Pade(1,1) approximant operator, which gives evanescent waves the desired damping. The resulting approach allows more accurate approximations to the true Helmholtz equation than the standard Pade approximant operators. Related Research Topics
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