Implicit Yee-mesh-based finite-difference full-vectorial beam-propagation method

Author

Yamauchi, Junji ; Mugita, Takanori ; Nakano, Hisamatsu

Author_Institution

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

Volume

23

Issue

5

fYear

2005

fDate

5/1/2005 12:00:00 AM

Firstpage

1947

Lastpage

1955

Abstract

A novel Yee-mesh-based finite-difference full-vectorial beam-propagation method is proposed with the aid of an implicit scheme. The efficient algorithm is developed by splitting the propagation axis into two steps. The eigenmode analysis of a rib waveguide is performed using the imaginary-distance procedure. The results show that the present method offers reduction in computational time and memory, while maintaining the same accuracy as the conventional explicit Yee-mesh-based imaginary-distance beam-propagation method. It is demonstrated by the analysis of a polarization converter that the present method can be used for not only the eigenmode analysis but also the propagating beam analysis.

Keywords

eigenvalues and eigenfunctions; finite difference methods; light polarisation; light propagation; mesh generation; optical waveguide theory; rib waveguides; Yee-mesh-based beam-propagation method; eigenmode analysis; finite-difference full-vectorial beam-propagation method; imaginary-distance procedure; implicit scheme; polarization converter; propagating beam analysis; rib waveguide; Electromagnetic waveguides; Finite difference methods; Image analysis; Magnetic analysis; Magnetic fields; Maxwell equations; Optical propagation; Optical waveguides; Performance analysis; Time domain analysis; Beam-propagation method (BPM); Yee´s mesh; eigenmodes; finite-difference methods; imaginary-distance procedure; implicit schemes; optical waveguides;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/JLT.2005.846908

Filename

1430794