Pseudospectra Implementation in Multi-domain Spectral Method

Author

Alharbi, Fahhad

Author_Institution

King Abdulaziz City for Sci. & Technol., Riyadh, Saudi Arabia

fYear

2010

fDate

7-10 May 2010

Firstpage

526

Lastpage

529

Abstract

Pseudospectra and minimal perturbation approach (MPA) principles are used and implemented to provide more rigorous mathematical foundations for functional expansion multi domain spectral method (MDSM). The implemented formulation is used to analyze optical waveguide and semiconductor quantum well. The results show that MDSM formulation based on MPA is very stable and slightly more accurate when compared to Tau MDSM. Pseudospectra provides more rigorous mathematical foundations for approximated eigenvalues of overdetermined systems (nonsquare matrix pencil), which is common in numerical formulations.

Keywords

eigenvalues and eigenfunctions; optical waveguides; perturbation theory; semiconductor quantum wells; spectral-domain analysis; Tau MDSM formulation; eigenvalues; electronic energy states; minimal perturbation approach; multidomain spectral method; nonsquare matrix pencil; optical waveguide; pseudospectra approach; semiconductor quantum well; Boundary conditions; Cities and towns; Eigenvalues and eigenfunctions; Interpolation; Large-scale systems; Optical waveguides; Polynomials; Research and development; Semiconductor waveguides; Transmission line matrix methods; Pseudospectra; eigenvalues; minimal perturbation approach; multi-domain spectral method; spectral method;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Research and Development, 2010 Second International Conference on

Conference_Location

Kuala Lumpur

Print_ISBN

978-0-7695-4043-6

Type

conf

DOI

10.1109/ICCRD.2010.128

Filename

5489602