Mode calculation by beam propagation method combined with digital signal processing technique

A robust computational scheme for calculation of multiple modes of optical waveguides is developed and presented. The new method uses the beam propagation methods to generate the modal fields and a digital signal processing technique for mode parameter extraction. It can be applied to both guided and leaky modes with different formulations (i.e., scalar, semi-vector or full-vector) and discretizations (e.g., finite difference or finite element). Salient features of the new method are discussed and advantages over other computational methods based on boundary-value eigen solvers and initial-value propagation solvers are demonstrated by way of examples.

[1]  M. M. SpÜhler,et al.  Direct computation of higher-order propagation modes using the imaginary-distance beam propagation method , 1999 .

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

[3]  Yinchao Chen,et al.  Analysis of propagation characteristics and field images for printed transmission lines on anisotropic substrates using a 2-D-FDTD method , 1998 .

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

[5]  Raj Mittra,et al.  A nonuniform FDTD technique for efficient analysis of propagation characteristics of optical-fiber waveguides , 1999 .

[6]  T. Sarkar,et al.  Using the matrix pencil method to estimate the parameters of a sum of complex exponentials , 1995 .

[7]  D. Yevick,et al.  The application of complex Pade approximants to vector field propagation , 2000, IEEE Photonics Technology Letters.

[8]  K. Yokoyama,et al.  The perfectly matched layer boundary condition for modal analysis of optical waveguides: leaky mode calculations , 1996, IEEE Photonics Technology Letters.

[9]  M. S. Stern.  Semivectorial polarised finite difference method for optical waveguides with arbitrary index profiles , 1988 .

[10]  M. Koshiba,et al.  Guided-mode and leaky-mode analysis by imaginary distance beam propagation method based on finite element scheme , 2000, Journal of Lightwave Technology.

[11]  G. W. Smith,et al.  Optimization of deep-etched, single-mode GaAs-AlGaAs optical waveguides using controlled leakage into the substrate , 1999 .

[12]  Wei-Ping Huang,et al.  Efficient and accurate vector mode calculations by beam propagation method , 1993 .

[13]  Raj Mittra,et al.  A combination of FD-TD and Prony's methods for analyzing microwave integrated circuits , 1991 .

[14]  S. K. Chaudhuri,et al.  Full-vectorial mode calculations by finite difference method , 1994 .

[15]  Antti V. Räisänen,et al.  Analysis of hybrid modes in channel multilayer optical waveguides with the compact 2‐D FDTD method , 1997 .

[16]  M. Feit,et al.  Computation of mode properties in optical fiber waveguides by a propagating beam method. , 1980, Applied optics.

[17]  Wei-Ping Huang,et al.  The finite-difference vector beam propagation method: analysis and assessment , 1992 .

[18]  David Yevick,et al.  New formulations of the matrix beam propagation method: application to rib waveguides , 1989 .

[19]  Trevor M. Benson,et al.  Novel vectorial analysis of optical waveguides , 1998 .

[20]  B. M. A. Rahman,et al.  Full vectorial finite-element-based imaginary distance beam propagation solution of complex modes in optical waveguides , 2002 .

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