Full-vectorial finite element beam propagation method with perfectly matched layers for anisotropic optical waveguides
- 1 March 2001
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in Journal of Lightwave Technology
- Vol. 19 (3) , 405-413
- https://doi.org/10.1109/50.918895
Abstract
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 LiNbO/sub 3/ 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).Keywords
This publication has 18 references indexed in Scilit:
- Curvilinear hybrid edge/nodal elements with triangular shape for guided-wave problemsJournal of Lightwave Technology, 2000
- Perfectly matched anisotropic layers for optical waveguide analysis through the finite-element beam-propagation methodMicrowave and Optical Technology Letters, 1999
- Finite element beam propagation method with perfectly matched layer boundary conditionsIEEE Transactions on Magnetics, 1999
- Finite element beam propagation method for anisotropic optical waveguidesJournal of Lightwave Technology, 1999
- General closed-form PML constitutive tensors to match arbitrary bianisotropic and dispersive linear mediaIEEE Microwave and Guided Wave Letters, 1998
- Finite-element full-vectorial propagation analysis for three-dimensional z-varying optical waveguidesJournal of Lightwave Technology, 1998
- An application of the perfectly matched layer (PML) concept to the finite element method frequency domain analysis of scattering problemsIEEE Microwave and Guided Wave Letters, 1995
- A perfectly matched anisotropic absorber for use as an absorbing boundary conditionIEEE Transactions on Antennas and Propagation, 1995
- Vector finite element formulation for scattering from two-dimensional heterogeneous bodiesIEEE Transactions on Antennas and Propagation, 1994
- Full-wave analysis of dielectric waveguides using tangential vector finite elementsIEEE Transactions on Microwave Theory and Techniques, 1991