Perfectly matched layer (PML) boundary conditions are incorporated into the full-vectorial beam propagation method (BPM) based on a finite element scheme for the three-dimensional (3-D) anisotropic optical waveguide analysis. In the present approach, edge elements based on linear-tangential and quadratic-normal vector basis functions are used for the transverse field components. To show the validity and usefulness of this approach, numerical examples are shown for Gaussian beam propagation in proton-exchanged LiNbO3 optical waveguides. Numerical accuracy of the present PML boundary condition is investigated in detail by comparing the results with those of the conventional absorbing boundary condition (ABC).


PDF Article


  • View by:
  • |

  1. 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.
  2. E. Montanari, S. Sellerei, L. Vincetti and M. Zoboli, "Finite-element full-vectorial propagation analysis for three-dimensional z -varying optical waveguides", J. Lightwave Technol., vol. 16, pp. 703-714, Apr. 1998 .
  3. D. Schulz, C. Gingener, M. Bludsuweit and E. Voges, "Mixed finite element beam propagation method", J. Lightwave Technol., vol. 16, pp. 1336-1341, July 1998 .
  4. K. T. Koai and P.-L. Liu, "Modeling of Ti:LiNbO3 waveguide devices: Part II-S-shaped channel waveguide bends", J. Lightwave Technol., vol. 7, pp. 1016-1021, July 1989 .
  5. G. R. Hadley, "Transparent boundary condition for the beam propagation method", Opt. Lett., vol. 16, pp. 624-626, May 1991.
  6. Y. Tsuji, M. Koshiba and N. Takimoto, "Finite element beam propagation method for anisotropic optical waveguides", J. Lightwave Technol., vol. 17, pp. 723-728, Apr. 1999.
  7. M. Koshiba and Y. Tsuji, "Curvilinear hybrid edge/nodal elements with triangular shape for guided-wave problems", J. Lightwave Technol., vol. 18, pp. 737-743, May 2000.

Cited By

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