The semivectorial beam propagation method

Author

Liu, Pao-Lo ; Yang, S.L. ; Yuan, D.M.

Author_Institution

Dept. of Electr. & Comput. Eng., State Univ. of New York, Buffalo, NY, USA

Volume

29

Issue

4

fYear

1993

fDate

4/1/1993 12:00:00 AM

Firstpage

1205

Lastpage

1211

Abstract

Details of an efficient semivectorial beam propagation method are presented. The propagation is determined by solving the finite-difference equation in alternating directions. Unlike the traditional split-operator beam propagation method, in the semivectorial method the index term is not separated from the spatial differentiations. Since boundary conditions at dielectric interfaces can be satisfied by two orthogonal polarizations individually, the method is semivectorial. The performance can be enhanced by using a nonuniform grid. By modifying the routine, it can also be applied to periodic structures. Numerical results for rib waveguides are presented

Keywords

finite difference methods; integrated optics; optical waveguide theory; vectors; boundary conditions; dielectric interfaces; finite-difference equation; index term; nonuniform grid; orthogonal polarizations; periodic structures; photonic circuit design; rib waveguides; semivectorial beam propagation method; spatial differentiations; Boundary conditions; Dielectrics; Electromagnetic waveguides; Equations; Finite difference methods; Optical beams; Optical propagation; Optical waveguides; Polarization; Time domain analysis;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/3.214502

Filename

214502