Stability issues in vector electric field propagation

Author

Yevick, David ; Yu, Jun ; Bardyszewski, Witold ; Glasner, Moses

Author_Institution

Dept. of Electr. Eng., Queen´´s Univ., Kingston, Ont., Canada

Volume

7

Issue

6

fYear

1995

fDate

6/1/1995 12:00:00 AM

Firstpage

658

Lastpage

660

Abstract

Demonstrates that although standard paraxial and wide-angle vector field propagation techniques lead to divergences for sufficiently small grid-point spacings and large refractive index differences, stability may be restored through either certain Pade approximates to the propagation operator or suitable boundary conditions. The authors also introduce a novel alternating directional implicit method applicable to less divergent discretizations of the vector wave equation.<>

Keywords

electric fields; finite difference methods; numerical stability; optical waveguide theory; refractive index; Pade approximates; alternating directional implicit method; boundary conditions; discretizations; grid-point spacings; propagation operator; refractive index; vector electric field propagation; vector wave equation; Boundary conditions; Eigenvalues and eigenfunctions; Finite difference methods; Optical attenuators; Optical propagation; Optical refraction; Optical waveguides; Partial differential equations; Refractive index; Stability;

fLanguage

English

Journal_Title

Photonics Technology Letters, IEEE

Publisher

ieee

ISSN

1041-1135

Type

jour

DOI

10.1109/68.388756

Filename

388756