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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
Download: Download this Publication (14KB) (14KB)


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.

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