Pseudospectral method based on prolate spheroidal wave functions for semiconductor nanodevice simulation

Wenbin Lin, Narayan Kovvali, Lawrence Carin

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

We solve Schrödinger's equation for semiconductor nanodevices by applying prolate spheroidal wave functions of order zero as basis functions in the pseudospectral method. When the functions involved in the problem are bandlimited, the prolate pseudospectral method outperforms the conventional pseudospectral methods based on trigonometric and orthogonal polynomials and related functions, asymptotically achieving similar accuracy using a factor of π / 2 less unknowns than the latter. The prolate pseudospectral method also employs a more uniform spatial grid, achieving better resolution near the center of the domain. © 2006 Elsevier B.V. All rights reserved.
Original languageEnglish (US)
Pages (from-to)78-85
Number of pages8
JournalComputer Physics Communications
Volume175
Issue number2
DOIs
StatePublished - Jul 15 2006
Externally publishedYes

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