Investigation of the Pade approximant-based wide-angle beam propagation method for accurate modeling of waveguiding circuits

Author

Ilic, Igor ; Scarmozzino, Robert ; Osgood, Richard M., Jr.

Author_Institution

Microelectron. Sci. Lab., Columbia Univ., New York, NY, USA

Volume

14

Issue

12

fYear

1996

fDate

12/1/1996 12:00:00 AM

Firstpage

2813

Lastpage

2822

Abstract

An analytical and numerical study of the accuracy of the beam propagation method that includes approximate treatments of wide-angle propagation based on Pade rational functions is presented. The investigation identifies the error terms associated with a sequence of higher order operators and the range of validity of different approximant operators is studied through examination of two-dimensional (2-D) waveguide structures. An analytical model for the general error in Pade-based wide-angle schemes is developed and compared with numerical simulations of simple waveguiding devices for which the exact solution is known. Guidelines for determining the range of error pertinent to the Pade operator are established

Keywords

approximation theory; integrated optoelectronics; numerical analysis; optical waveguide theory; 2D waveguide structures; Pade approximant-based wide-angle beam propagation method; Pade operator; Pade rational functions; Pade-based wide-angle schemes; accurate modeling; approximant operators; approximate treatments; beam propagation method; error terms; exact solution; higher order operators; numerical simulations; waveguiding circuits; waveguiding devices; wide-angle propagation; Analytical models; Boundary conditions; Circuit simulation; Computational modeling; Finite difference methods; Guidelines; Numerical simulation; Partial differential equations; Photonic integrated circuits; Two dimensional displays;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.545802

Filename

545802