A beam propagation method (BPM) based on the finite element method (FEM) is described for the analysis of both transverse electric (TE) and transverse magnetic (TM) waves propagating in nonlinear optical waveguides. A perfectly matched layer is introduced to avoid spurious reflections from computational window edges. For the wide-angle beam propagation analysis, the Pade approximation is introduced to the differential operator along the propagation direction. In order to improve numerical accuracy and efficiency, a finite element mesh and a reference refractive index are adaptively renewed at each propagation step, and to reduce computational effort for the nonlinear optical waveguide analysis, an iterative algorithm is also introduced. Waveguides with nonlinear self-focusing claddings are analyzed to investigate spatial soliton emission phenomena, and it is confirmed that soliton couplers can be easily constructed.


PDF Article


  • View by:
  • |

  1. H. E. Hernandez-Figueroa, F. Di Pasquale, D. R. Ettinger, F. A. Fernandez, and J. B. Davies, "Controlled spatial bright soliton emission from a nonlinear waveguide," Opt. Lett., vol. 19, pp. 326-328, Mar. 1994.
  2. H.-P. Nolting and R. M rz, "Results of benchmark tests for different numerical BPM algorithms," J. Lightwave Technol., vol. 13, pp. 216-224, Feb. 1995.
  3. Y. Arai, A. Maruta, and M. Matsuhara, "Transparent boundary for the finite-element beam-propagation method," Opt. Lett., vol. 18, pp. 765-766, May 1993.
  4. F. Schmidt, "An adaptive approach to the numerical solution of Fresnel's wave equation," J. Lightwave Technol., vol. 11, pp. 1425-1434, Sept. 1993.
  5. G. R. Hadley, "Wide-angle beam propagation using Pade approximant operators," Opt. Lett., vol. 17, pp. 1426-1428, Oct. 1992.
  6. H. F. Chou, C. F. Lin, and G. C. Wang, "An iterative finite difference beam propagation method for modeling second-order nonlinear effects in optical waveguides," J. Lightwave Technol., vol. 16, pp. 1686-1693, Sept. 1998.

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.