An assessment of finite difference beam propagation method

Author

Chung, Youngchul ; Dagli, Nadir

Author_Institution

Dept. of Electr. & Comput. Eng., California Univ., Santa Barbara, CA, USA

Volume

26

Issue

8

fYear

1990

fDate

8/1/1990 12:00:00 AM

Firstpage

1335

Lastpage

1339

Abstract

A finite-difference beam propagation method (FD-BPM) is outlined and assessed in comparison with a conventional beam propagation method (FFT-BPM) which uses fast Fourier transformation. In the comparative study three straight waveguides with different index profiles that are frequently encountered in integrated optics are utilized. Using both methods normalized effective index values of the eigenmodes of these waveguides are calculated and compared with the exact values obtained from analytical expressions. As a further accuracy criterion, the power loss due to numerical errors when an eigenmode of a waveguide is excited is evaluated. Based on this comparison the accuracy, computational efficiency, and stability of the FD-BPM are assessed

Keywords

difference equations; integrated optics; optical losses; optical waveguide theory; accuracy criterion; computational efficiency; eigenmodes; finite difference beam propagation method; index profiles; integrated optics; normalized effective index values; numerical errors; power loss; stability; straight waveguides; Computational efficiency; Difference equations; Finite difference methods; Finite element methods; Integrated optics; Nonlinear optics; Optical losses; Optical propagation; Optical waveguides; Partial differential equations;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/3.59679

Filename

59679