Efficient nonuniform schemes for paraxial and wide-angle finite-difference beam propagation methods
スポンサーリンク
概要
- 論文の詳細を見る
Efficient nonuniform schemes, based on the generalized Douglas (GD) scheme, are developed for the finite-difference beam propagation method (FD-BPM). For a two-dimensional (2-D) problem, two methods are presented: a computational space method and a physical space method. In the former, the GD scheme is employed, after replacing a nonuniform grid in the physical space with a uniform one in the computational space. In the latter, the GD scheme is directly extended to a nonuniform grid in the physical space. We apply these two methods to paraxial and wide-angle FD-BPM's. The fourth-order accuracy is achieved in the transverse direction, provided that the grid growth factor between two adjacent grids is r=1+O(Δx). For the paraxial BPM, the reduction in the truncation error is demonstrated through modal calculations of a graded-index waveguide using an imaginary distance procedure. For the wide-angle BPM, the propagating field in a tilted waveguide is analyzed to show the effectiveness of the present scheme. As an application of the physical space method, an adaptive grid is introduced into the multistep method.
- IEEEの論文
著者
関連論文
- Camparative Study of Several Time-Domain Methods for Optical Waveguide Analyses
- Numerical Analysis of Waveguide-Based Surface Plasmon Resonance Sensor with Adsorbed Layer Using Two- and Three-Dimensional Beam-Propagation Methods
- Eigenmode Analysis of a Light-Guiding Metal Line Loaded on a Dielectric Substrate Using the Imaginary-Distance Beam-Propagation Method
- Semivectorial Mode Analysis of a Rib Waveguide by an Imaginary-Distance Beam-Propagation Method Based on the Generalized Douglas Scheme
- LOD-BOR-FDTD Algorithm for Efficient Analysis of Circularly Symmetric Structures
- Frequency-Dependent Locally One-Dimensional FDTD Implementation With a Combined Dispersion Model for the Analysis of Surface Plasmon Waveguides
- Numerical Investigation of a Kretschmann-Type Surface Plasmon Resonance Waveguide Sensor
- Performance Evaluation of Several Implicit FDTD Methods for Optical Waveguide Analyses
- A Three-Dimensional Horizontally Wide-Angle Noniterative Beam-Propagation Method Based on the Alternating-Direction Implicit Scheme
- A Finite-Difference Time-Domain Beam-Propagation Method for TE- and TM-Wave Analyses
- Design of a Wavelength Demultiplexer Based on a Bent Waveguide Coupler Using the Three-Dimensional Beam-Propagation Method
- Design of a Wavelength Demultiplexer Based on a Bent Waveguide Coupler Using the Three-Dimensional Beam-Propagation Method (IEICE Trans., Electron., Vol. E86-C, No. 5, Joint Special Issue on Recent Progress in Optoelectronics and Communications)
- Comparative Study of Absorbing Boundary Conditions for the Time-Domain Beam Propagation Method
- Efficient Time-Domain Finite-Difference Beam Propagation Methods for the Analysis of Slab and Circularly Symmetric Waveguides
- Efficient nonuniform schemes for paraxial and wide-angle finite-difference beam propagation methods