Full Vectorial 3-D Sensitivity Analysis and Design Optimization Using BPM

Author

Swillam, Mohamed A. ; Bakr, Mohamed H. ; Li, Xun

Author_Institution

McMaster Univ., Hamilton

Volume

26

Issue

5

fYear

2008

fDate

3/1/2008 12:00:00 AM

Firstpage

528

Lastpage

536

Abstract

We present a novel approach to the sensitivity analysis of 3D structures using the full vectorial beam propagation method (FVBPM). Using no extra simulations, the sensitivities of the response with respect to all design parameters are obtained regardless of their number. Our approach is exploited to calculate the sensitivities of the propagation constants of multimode waveguides. It is also applied to the 3D imaginary distance FVBPM (ID-FVBPM) and utilized to extract the sensitivities of the mode parameters. The calculated sensitivities are then utilized within a gradient-based optimization algorithm to illustrate the application of the obtained sensitivities. The accuracy of our approach is verified through a comparison with the expensive central finite difference applied directly at the response level.

Keywords

electronic engineering computing; gradient methods; sensitivity analysis; waveguides; 3D imaginary distance; 3D structures; FVBPM; design optimization; full vectorial 3D sensitivity analysis; full vectorial beam propagation method; gradient-based optimization algorithm; multimode waveguides; propagation constants; Data mining; Design automation; Design optimization; Finite difference methods; Laboratories; Photonics; Propagation constant; Sensitivity analysis; Time domain analysis; Transmission line matrix methods; Adjoint variable method; beam propagation method (BPM); computer-aided design (CAD); gradient-based optimization; mode parameters calculations; polarization converter; sensitivity analysis;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/JLT.2007.916496

Filename

4484099