Chin. Phys. Lett.  2009, Vol. 26 Issue (2): 024202    DOI: 10.1088/0256-307X/26/2/024202
FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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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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.
Keywords: 42.25.Bs      02.30.Nw      42.82.Et     
Received: 05 September 2008      Published: 20 January 2009
PACS:  42.25.Bs (Wave propagation, transmission and absorption)  
  02.30.Nw (Fourier analysis)  
  42.82.Et (Waveguides, couplers, and arrays)  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/26/2/024202       OR      https://cpl.iphy.ac.cn/Y2009/V26/I2/024202
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ZANG Wei-Ping
CHENG Hua
TIAN Jian-Guo
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