Efficient sensitivity analysis of the time independent Schrödinger equation with application to quantum lasers

Mohamed A. Swillam; Mohamed H. Bakr; Xun Li; M. Jamal Deen

doi:10.1016/j.optcom.2008.05.032

Efficient sensitivity analysis of the time independent Schrödinger equation with application to quantum lasers

Mohamed A. Swillam^*
, Mohamed H. Bakr
, Xun Li
, M. Jamal Deen

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

A simple and efficient approach to extract the sensitivities of the energy levels and wavefunctions of the time independent Schrödinger equation is proposed. The sensitivity information with respect to all the design parameters is obtained without any additional solution to the eigenvalue problem. The accuracy of our approach is verified through a comparison with the expensive central finite difference applied directly at the response level.

Original language	English
Pages (from-to)	4459-4463
Number of pages	5
Journal	Optics Communications
Volume	281
Issue number	17
DOIs	https://doi.org/10.1016/j.optcom.2008.05.032
State	Published - 1 Sep 2008
Externally published	Yes

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Physical and Theoretical Chemistry
Electrical and Electronic Engineering

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10.1016/j.optcom.2008.05.032

Cite this

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title = "Efficient sensitivity analysis of the time independent Schr{\"o}dinger equation with application to quantum lasers",

abstract = "A simple and efficient approach to extract the sensitivities of the energy levels and wavefunctions of the time independent Schr{\"o}dinger equation is proposed. The sensitivity information with respect to all the design parameters is obtained without any additional solution to the eigenvalue problem. The accuracy of our approach is verified through a comparison with the expensive central finite difference applied directly at the response level.",

author = "Swillam, \{Mohamed A.\} and Bakr, \{Mohamed H.\} and Xun Li and Deen, \{M. Jamal\}",

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journal = "Optics Communications",

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T1 - Efficient sensitivity analysis of the time independent Schrödinger equation with application to quantum lasers

AU - Swillam, Mohamed A.

AU - Bakr, Mohamed H.

AU - Li, Xun

AU - Deen, M. Jamal

PY - 2008/9/1

Y1 - 2008/9/1

N2 - A simple and efficient approach to extract the sensitivities of the energy levels and wavefunctions of the time independent Schrödinger equation is proposed. The sensitivity information with respect to all the design parameters is obtained without any additional solution to the eigenvalue problem. The accuracy of our approach is verified through a comparison with the expensive central finite difference applied directly at the response level.

AB - A simple and efficient approach to extract the sensitivities of the energy levels and wavefunctions of the time independent Schrödinger equation is proposed. The sensitivity information with respect to all the design parameters is obtained without any additional solution to the eigenvalue problem. The accuracy of our approach is verified through a comparison with the expensive central finite difference applied directly at the response level.

UR - https://www.scopus.com/pages/publications/47349126152

U2 - 10.1016/j.optcom.2008.05.032

DO - 10.1016/j.optcom.2008.05.032

M3 - Article

AN - SCOPUS:47349126152

SN - 0030-4018

VL - 281

SP - 4459

EP - 4463

JO - Optics Communications

JF - Optics Communications

IS - 17

ER -

Efficient sensitivity analysis of the time independent Schrödinger equation with application to quantum lasers

Abstract

ASJC Scopus subject areas

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