Predefined exponential basis set for half-bounded multi domain spectral method

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Citations (Scopus)

Abstract

A fast and efficient multi-domain spectral method (MDSM) based on wide range non-orthogonal predefined exponential basis set is presented. This method works extremely well for semi-infinite differential problems. It spans wide range of exponential decay rates with multi scaling and does not suffer from zero crossing. These two conditions are necessary for many physical problems. For comparison, the method is used to approximate different exponentially decaying functions and compared with Laguerre basis method. Also for comparison purpose, it is used to analyze arbitrary quantum wells (QW) and optical waveguides. The comparisons exhibit the accuracy and the efficiency of the presented method. In the analytical limit, the relative error in the quantized energy level of the studied QW is in the order of 10 -12 with very small number of bases.

Original languageEnglish
Title of host publication9th International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD 2009
Pages77-78
Number of pages2
Publication statusPublished - 1 Dec 2009
Externally publishedYes
Event9th International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD 2009 - Gwangju, Korea, Republic of
Duration: 14 Sep 200917 Sep 2009

Other

Other9th International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD 2009
CountryKorea, Republic of
CityGwangju
Period14/9/0917/9/09

Fingerprint

Spectral Methods
Semiconductor quantum wells
Optical waveguides
Quantum Well
Electron energy levels
Zero-crossing
Multiscaling
Optical Waveguides
Relative Error
Exponential Decay
Energy Levels
Decay Rate
Range of data
Necessary
Arbitrary

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Electrical and Electronic Engineering
  • Electronic, Optical and Magnetic Materials
  • Computational Mathematics

Cite this

Alharbi, F. (2009). Predefined exponential basis set for half-bounded multi domain spectral method. In 9th International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD 2009 (pp. 77-78). [5297216]

Predefined exponential basis set for half-bounded multi domain spectral method. / Alharbi, Fahhad.

9th International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD 2009. 2009. p. 77-78 5297216.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Alharbi, F 2009, Predefined exponential basis set for half-bounded multi domain spectral method. in 9th International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD 2009., 5297216, pp. 77-78, 9th International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD 2009, Gwangju, Korea, Republic of, 14/9/09.
Alharbi F. Predefined exponential basis set for half-bounded multi domain spectral method. In 9th International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD 2009. 2009. p. 77-78. 5297216
Alharbi, Fahhad. / Predefined exponential basis set for half-bounded multi domain spectral method. 9th International Conference on Numerical Simulation of Optoelectronic Devices, NUSOD 2009. 2009. pp. 77-78
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