Title :
The finite-difference vector beam propagation method: analysis and assessment
Author :
Huang, Weiping ; Xu, Chenglin ; Chu, Sai-Tak ; Chaudhuri, Sujeet K.
Author_Institution :
Dept. of Electr. & Comput. Eng., Waterloo Univ., Ont., Canada
fDate :
3/1/1992 12:00:00 AM
Abstract :
The newly developed finite-difference vector beam propagation method (FD-VBPM) is analyzed and assessed for application to two-dimensional waveguide structures. The general formulations for the FD-VBPM are derived from the vector wave equations for the electric fields. The stability criteria, the numerical dissipation, and the dispersion of the finite-difference schemes are analyzed by applying the von Neumann method. Important issues regarding the implementation, such as the choice of reference refractive index, the application of numerical boundary conditions, and the use of numerical solution schemes, are discussed. The FD-VBPM is assessed by calculating the attenuation coefficients and the percentage errors of the propagation constants of the TE and TM modes of a step-index slab waveguide. Several salient features of the FD-VBPM are illustrated
Keywords :
difference equations; optical losses; optical waveguide theory; refractive index; wave equations; 2D waveguide structures; TE modes; TM modes; attenuation coefficients; electric fields; finite-difference vector beam propagation method; integrated optics; numerical boundary conditions; numerical dissipation; numerical solution schemes; percentage errors; propagation constants; reference refractive index; stability criteria; step-index slab waveguide; vector wave equations; von Neumann method; Electromagnetic propagation; Electromagnetic scattering; Electromagnetic waveguides; Finite difference methods; Optical fiber dispersion; Optical propagation; Optical waveguides; Partial differential equations; Performance analysis; Stability criteria;
Journal_Title :
Lightwave Technology, Journal of
