Title :
Pseudospectra Implementation in Multi-domain Spectral Method
Author_Institution :
King Abdulaziz City for Sci. & Technol., Riyadh, Saudi Arabia
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;
Conference_Titel :
Computer Research and Development, 2010 Second International Conference on
Conference_Location :
Kuala Lumpur
Print_ISBN :
978-0-7695-4043-6
DOI :
10.1109/ICCRD.2010.128
