Mr. Joachim Hamm Profile

Joachim Hamm

at DLR

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Proceedings Article | 12 June 2002 Paper

Spatially resolved polarization and temperature dynamics in quantum-well vertical-cavity surface emitters: a mesoscopic approach

Joachim Hamm, Klaus Boehringer, Ortwin Hess

Proceedings Volume 4646, (2002) https://doi.org/10.1117/12.470514

KEYWORDS: Scattering, Polarization, Vertical cavity surface emitting lasers, Semiconductors, Laser scattering, Plasma, Near field optics, Phonons, Refractive index, Semiconductor lasers

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As quality and power of light emitted by GaAs-based vertical cavity surface emitting laser (VCSEL) devices are rather sensitive concerning temperature a dynamic description of the multi-mode field dynamics require the incorporation of temperature effects in the Maxwell-Bloch laser equations. In our approach we extend the equations of motion for the carrier density and the light field by dynamic equations for the spatially resolved lattice and plasma temperatures, which reflect the exchange of energy between the different subsystems in thermal quasi-equilibrium. The gain and refractive index spectra of the active quantum-well structure will be derived from temperature dependent microscopic scattering rates. Calculations are performed for both, carrier-carrier and carrier-phonon scattering processes, starting from Boltzmann's equation which then is approximated by a relaxation rate approach. The resulting scattering rates enter the band-resolved Semiconductor-Bloch equations which are directly coupled to the macroscopic field equations for the electric field and the carrier density. Based on that nonlinear system of equations, time resolved simulations are carried out and recorded over the transverse spatial coordinates for the vertically emitting laser structure. Numerical investigations of the dynamic behavior reveal the strong influence of temperature on the resulting near-field polarization mode patterns.

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