Assessment of Rational Approximations for Square Root Operator in Bidirectional Beam Propagation Method

Author

Zhang, Hua ; Mu, Jianwei ; Huang, Wei-Ping

Author_Institution

McMaster Univ., Hamilton

Volume

26

Issue

5

fYear

2008

fDate

3/1/2008 12:00:00 AM

Firstpage

600

Lastpage

607

Abstract

Accurate rational approximations to the square root operators are crucial for the bidirectional beam propagation method in simulation of strongly reflective structures. An assessment and comparison of various commonly used rational approximations is performed for both transverse electric (TE) and transverse magnetic (TM) waves. The range of validity and level of accuracy for the different approximations are studied by investigating the structures with varying reflection intensities. Guidelines for accurately modeling of evanescent and propagating modes are provided.

Keywords

light propagation; light reflection; bidirectional beam propagation method; evanescent mode; propagating mode; rational approximations; square root operator; strongly reflective structures; transverse electric wave; transverse magnetic wave; Circuit simulation; Guidelines; Integrated optics; Optical propagation; Optical reflection; Optical refraction; Optical scattering; Stability; Tellurium; Time domain analysis; Bidirectional beam propagation; PadÉ approximation; evanescent wave; reflection;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/JLT.2007.915214

Filename

4484100