Full-vectorial beam-propagation method based on the McKee-Mitchell scheme with improved finite-difference formulas

Author

Yamauchi, Junji ; Takahashi, Gen ; Nakano, Hisamatsu

Author_Institution

Coll. of Eng., Hosei Univ., Tokyo, Japan

Volume

16

Issue

12

fYear

1998

fDate

12/1/1998 12:00:00 AM

Firstpage

2458

Lastpage

2464

Abstract

The alternating-direction implicit method proposed by McKee-Mitchell is applied to full-vectorial paraxial wave equations. The high computational efficiency of the present method is demonstrated in comparison with an iterative solver. Novel finite-difference formulas that take into account discontinuities of the fields are proposed and employed to ensure second-order accuracy. Calculations regarding the effective index of rib waveguides show that the present results remarkably agree with values obtained from the modal transverse resonance method

Keywords

finite difference methods; optical waveguide theory; optical waveguides; refractive index; rib waveguides; vectors; McKee-Mitchell scheme; alternating-direction implicit method; discontinuities; effective index; finite-difference formulas; full-vectorial beam-propagation method; full-vectorial paraxial wave equations; high computational efficiency; improved finite-difference formulas; iterative solver; modal transverse resonance method; rib waveguides; second-order accuracy; Computational efficiency; Convergence; Finite difference methods; Iterative methods; Optical beams; Optical waveguides; Partial differential equations; Refractive index; Resonance; Stability;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.736638

Filename

736638