Numerical analysis of the absorption and the refractive index change in arbitrary semiconductor quantum-well structures

Author

Nakamura, Kenji ; Shimizu, Akira ; Fujii, Kazuhito ; Koshiba, Masanori ; Hayata, Kazuya

Author_Institution

Canon Inc., Kanagawa, Japan

Volume

28

Issue

7

fYear

1992

fDate

7/1/1992 12:00:00 AM

Firstpage

1670

Lastpage

1677

Abstract

A numerical method for the analysis of the absorption spectrum and the refractive index change due to an external electric field in quantum-well structures is presented. The finite-element method and the variational method are used to obtain the subband and the exciton energies in a quantum-well structure, respectively. The absorption spectrum due to the band-to-band and the excitonic transitions is then calculated, and the refractive index change is obtained using the Kramers-Kronig relations. This method is applicable to quantum-well structures with arbitrary potential profiles made of arbitrary semiconductors, because it is based on the finite-element method in which the general boundary condition for the heterointerface is employed. The validity of the method is confirmed by comparing the computed results with the measured ones

Keywords

Kramers-Kronig relations; finite element analysis; light absorption; refractive index; semiconductor quantum wells; variational techniques; Kramers-Kronig relations; absorption spectrum; arbitrary potential profiles; arbitrary semiconductors; exciton energies; excitonic transitions; external electric field; finite-element method; general boundary condition; heterointerface; numerical analysis; numerical method; refractive index change; semiconductor quantum-well structures; variational method; Absorption; Boundary conditions; Finite element methods; Numerical analysis; Optical refraction; Optical saturation; Optical sensors; Optical variables control; Quantum wells; Refractive index;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/3.142554

Filename

142554