An equation for the amplitudes of the modes in semiconductor lasers

Author

Wenzel, Hans ; Wünsche, Hans-Jürgen

Author_Institution

Dept. of Phys., Humboldt-Univ., Berlin, Germany

Volume

30

Issue

9

fYear

1994

fDate

9/1/1994 12:00:00 AM

Firstpage

2073

Lastpage

2080

Abstract

A quite general equation for the time-dependent amplitudes of the modes of the electromagnetic field of a semiconductor laser is derived in the small-signal approximation. It is shown that the modes fulfil a general orthogonality relation that follows directly from Maxwell´s equations. The dependence of the dielectric function on temporally varying carrier densities is taken into account. The local changes of the carrier densities lead to a coupling of different modes. The equations for the mode amplitudes are used to derive rate equations for the photon number and the phase of a mode

Keywords

Maxwell equations; carrier density; dielectric function; laser modes; laser theory; semiconductor lasers; Maxwell equations; carrier densities; dielectric function; electromagnetic field; mode coupling; mode phase; orthogonality relation; photon number; rate equations; semiconductor lasers; small-signal approximation; time-dependent mode amplitudes; Charge carrier density; Conductors; Electromagnetic fields; Fluctuations; Gas lasers; Laser modes; Maxwell equations; Partial differential equations; Refractive index; Semiconductor lasers;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/3.309867

Filename

309867