摘要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.
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.
[1] Feit M D and Fleck J A Jr 1978 Appl. Opt. 173990 [2] Kriezis E and Papagiannakis A 1995 J. Lightw.Technol. 13 692 [3] Feit M D and Fleck J A, Jr. 1988 J. Opt. Soc. Am. B 5 633 [4] Ma C and Keuren E V 2006 Opt. Express 14 4668 [5] Ma C and Keuren E V 2007 Opt. Express 15 402 [6] Shibayama J, Takahashi T, Yamauchi J and Nakano H 2006 IEEE Photon. Technol. Lett. 18 661 [7] Shibayama J, Takahashi T, Yamauchi J and Nakano H 2006 IEEE Photon. Technol. Lett. 18 2535 [8] Sharma A and Agrawal A 2006 Opt. Quantum Electron. 38 19 [9] Bhattacharya D and Sharma A 2007 Opt. QuantumElectron. 39 865 [10] Yevick D and Bardyzewshi W 1992 Opt. Lett. 5329 [11] Xu C L, Huang W P, and Chaudhuri S K 1993 J.Lightwave Technol. 11 1209