Title :
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
fDate :
9/1/1994 12:00:00 AM
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;
Journal_Title :
Quantum Electronics, IEEE Journal of
