Modified Airy function method for the analysis of tunneling problems in optical waveguides and quantum-well structures

Author

Roy, Sukhdev ; Ghatak, Ajoy K. ; Goyal, I.C. ; Gallawa, R.L.

Author_Institution

Dept. of Phys., Indian Inst. of Technol., New Delhi, India

Volume

29

Issue

2

fYear

1993

fDate

2/1/1993 12:00:00 AM

Firstpage

340

Lastpage

345

Abstract

A simple method for the analysis of tunneling through an arbitrary one-dimensional potential barrier, based on the modified Airy function approach, is presented. Truncated step-linear, step-exponential, parabolic, and quartic potential barriers are considered. The results are compared with those obtained by the conventional WKBJ, modified WKBJ, and matrix methods. The effect of the truncation level on the tunneling coefficient is investigated. The tunneling coefficient is sensitive to the truncation level. For the step-linear potential, the tunneling coefficient is a monotonically decreasing function of the truncation level, while for the parabolic potential, it oscillates before saturating to a constant value

Keywords

optical waveguide theory; semiconductor quantum wells; tunnelling; modified Airy function; one-dimensional potential barrier; optical waveguides; parabolic potential; quantum-well structures; quartic potential barriers; step exponential potential; step-linear potential; truncation level; tunneling coefficient; tunneling problems; Maxwell equations; Optical attenuators; Optical refraction; Optical saturation; Optical sensors; Optical variables control; Optical waveguides; Schrodinger equation; Tunneling; Ultrafast optics;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/3.199287

Filename

199287