FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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A Novel Three-Dimensional Wide-Angle Beam Propagation Method Based on Split-Step Fast Fourier Transform |
ZANG Wei-Ping, CHENG Hua, TIAN Jian-Guo |
Key Laboratory of Weak Light Nonlinear Photonics (Ministry of Education), Teda Applied Physics School, Nankai University, Tianjin 300457 |
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Cite this article: |
ZANG Wei-Ping, CHENG Hua, TIAN Jian-Guo 2009 Chin. Phys. Lett. 26 024202 |
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Abstract A novel three-dimensional wide-angle beam propagation method based on the split-step fast Fourier transform is developed. The formulation is based on the three-dimensional Helmholtz wave equation. Each propagation step is performed by utilizing both the FFT and split-step scheme. The solution of Helmholtz wave equation does not make the slowly varying envelope and one-way propagation approximations. To validate the efficiency and accuracy, numerical results for a propagation beam in a tilted step-index optical waveguide are compared with other beam propagation algorithms.
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Keywords:
42.25.Bs
02.30.Nw
42.82.Et
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Received: 05 September 2008
Published: 20 January 2009
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PACS: |
42.25.Bs
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(Wave propagation, transmission and absorption)
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02.30.Nw
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(Fourier analysis)
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42.82.Et
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(Waveguides, couplers, and arrays)
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