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Nonparaxial Split-Step Method With Local One-Dimensional Scheme for Three-Dimensional Wide-Angle Beam Propagation
- Source :
- Journal of Lightwave Technology. 27:2717-2723
- Publication Year :
- 2009
- Publisher :
- Institute of Electrical and Electronics Engineers (IEEE), 2009.
-
Abstract
- A wide-angle, split-step finite-difference method with the classical local one-dimensional scheme is presented to analyze the three-dimensional scalar wave equation. Its essence is to convert the three-dimensional scalar wave equation into two two-dimensional equations that can be solved without using slowly varying envelope or one-way propagation approximations. To validate the effectiveness, numerical results for the Gaussian beam propagation in vacuum and the eigen-mode propagation in tilted step-index channel waveguide are compared with other beam propagation algorithms. Results show that the method has high accuracy and numerical efficiency compared with other known split-step methods. The perfectly matched layer boundary condition can be implemented easily.
Details
- ISSN :
- 15582213 and 07338724
- Volume :
- 27
- Database :
- OpenAIRE
- Journal :
- Journal of Lightwave Technology
- Accession number :
- edsair.doi...........7403e11b4a2054f6077620020f28d7a9
- Full Text :
- https://doi.org/10.1109/jlt.2009.2015469