Finite element beam propagation method with perfectly matched layer boundary conditions

The perfectly matched layer boundary condition is incorporated into the beam propagation method based on a finite element scheme for 3-D optical waveguides. Not only an approximate scalar formulation but a full-wave formulation is presented. Its effectiveness is verified by way of numerical examples. Copyright © 2000 John Wiley & Sons, Ltd.

[1]  G. R. Hadley,et al.  Transparent boundary condition for the beam propagation method , 1992 .

[2]  K. Yokoyama,et al.  The perfectly matched layer (PML) boundary condition for the beam propagation method , 1996, IEEE Photonics Technology Letters.

[3]  Raj Mittra,et al.  A finite-element-method frequency-domain application of the perfectly matched layer (PML) concept , 1995 .

[4]  G. R. Hadley,et al.  Wide-angle beam propagation using Pade approximant operators. , 1992, Optics letters.

[5]  Dirk Schulz,et al.  Mixed finite element beam propagation method , 1998 .

[6]  H.-P. Nolting,et al.  Results of benchmark tests for different numerical BPM algorithms , 1995 .

[7]  M.K. Smit,et al.  Novel compact polarization converters based on ultra short bends , 1996, IEEE Photonics Technology Letters.

[8]  Masanori Koshiba,et al.  A vector finite element method with the high-order mixed-interpolation-type triangular elements for optical waveguiding problems , 1994 .

[9]  Masanori Koshiba,et al.  Finite element beam propagation method for three-dimensional optical waveguide structures , 1997 .

[10]  M. Koshiba,et al.  A wide-angle finite-element beam propagation method , 1996, IEEE Photonics Technology Letters.

[11]  Masanori Koshiba,et al.  A wide-angle beam propagation method based on a finite element scheme , 1997 .

[12]  Jean-Pierre Berenger,et al.  A perfectly matched layer for the absorption of electromagnetic waves , 1994 .

[13]  Luca Vincetti,et al.  Finite-element full-vectorial propagation analysis for three-dimensional z-varying optical waveguides , 1998 .

[14]  G. R. Hadley,et al.  Transparent boundary condition for beam propagation. , 1991, Optics letters.