IEEE Journal of Quantum Electronics · 1996 · 169 citations · 24 references
EngineeringElectrical EngineeringMaterials ScienceOptoelectronicsPhotonicsSemiconductor DevicesDevice ModelingDevice SimulationElectronic Transport ModelingQuantum Well DevicesQuantum WellsSemiconductor LasersCarrier Confinement In Quantum WellsCarrier Transport ModelingNumerical ModelingOptical GainOptoelectronic Device ModelingQuantum Confinement EffectsSelective OxidationVertical-cavity Surface-emitting Lasers
We present a comprehensive numerical model for vertical-cavity surface-emitting lasers that includes all major processes affecting cw operation of axisymmetric devices. In particular, our model includes a description of the 2-D transport of electrons and holes through the cladding layers to the quantum well(s), diffusion and recombination of these carriers within the wells, the 2-D transport of heat throughout the device, and a multilateral-mode effective index optical model. The optical gain acquired by photons traversing the quantum wells is computed including the effects of strained band structure and quantum confinement. We employ our model to predict the behavior of higher-order lateral modes in proton-implanted devices and to provide an understanding of index-guiding in devices fabricated using selective oxidation.
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James H. Bramble, Richard S. Varga · Mathematics of Computation · 1963 · 4.2K citations
Motion of Electrons and Holes in Perturbed Periodic Fields
J. M. Luttinger, W. Kohn · Physical Review · 1955 · 3.1K citations