Microscopic Calculation of Semiconductor Laser Material Properties

J. Hader, J.V. Moloney and S.W. Koch



Fully microscopic, fit parameter free calculations of optical material properties like gain/absorption, refractive index and related quantities for varying material compositions, QW widths, temperatures, internal or external electric fields etc, for semiconductor materials with emission wavelengths ranging from IR to UV. the results have been shown to give excellent quantitative agreement with the experiment and, therefore, are truly predictive.

Allows for the first time to determine quantitatively in an on-waver stage the high carrier density gain from low density PL/PLE spectra.




Quantitative agreement between experimental and calculated gain/absorption or refractive index spectra can only be found if processes that lead to the homogeneous broadening of the spectra (electron-electron and electron-phonon scattering) are treated on a fully microscopic level. Aproaches that use phenomenological dephasing times or lineshape broadenings can only fit experimental results. They lead to unphysical results like absorption energetically below the bandgap, wrong lineshapes and density-dependences and their ``reliability'' is limited to a small range of situations (densities, temperatures, material compositions, well widths, etc.) close to the ones for that experimental data already exists.
Likewise, wafer-level PL/PLE spectra cannot be matched without including these many-body ingredients, effects like the Coulomb-induced subband coupling and conduction band nonparabolicity and, a self-consistent inclusion of internal dopant fields due to p- and d-doped layers in the heterostructure.
Including all these ingrediences leads to a theory that can quantitatively predict the optical material characteristics for an almost unlimited range of situations: from zero density absorption to high density gain, for arbitrary temperatures, including internal or external electric fields, single or multi-quantum-wells, GRINSCH or SCH structures, electronically coupled or uncoupled wells, TE or TM polarization, internal strain or external pressure, etc., and all commonly used semiconductor materials. This also allows to determine quantitatively important operating characteristics like the high-density gain from low density PL as it is measured on an on-waver stage for a few excitation densities (without having to know the actual experimental densities).


"Quantitative prediction of semiconductor laser characteristics based on low intensity photoluminescence measurements"
Collaboration with J. Hader, A.R. Zakharian and J.V. Moloney (University of Arizona), T.R. Nelson, W.J. Siskaninetz and J. Ehret (AFRL-SNDD), K. Hantke and S.W. Koch (Philipps-Universität Marburg, Germany) and M. Hofmann (Ruhr-Universität Bochum, Germany).
(J. Hader, et al., IEEE Photonics Technology Letters, Vol.14(6) pp.762-764 2002).



Low density absorption spectra for a p-i-n-doped GaInAs/GaAs multi quantum-well structure. The spectra are homogeneously broadened due to electron-electron and electron-phonon scattering.

Experimental (blue) and theoretical (red) PL-spectra. The theoretical spectra have been calculated from the homogeneously broadened absorption spectra for the nominal structural parameters using the KMS relation.

Experimental (blue) and theoretical (red) PL spectra after shifting the theoretical spectra 6nm to shorter wavelength and applying an inhomogeneous broadening of 9.8meV. The inhomogeneous broadening corresponds to well width fluctuations of one monolayer or fluctuations in the Indium concentration of one percent. The shift corresponds to an actual Indium concentration that is one percent smaller than the nominal.

Theoretical gain and absorption spectra for various carrier densities and the inhomogeneous broadening and actual material composition as determined by the experiment-theory comparison for the PL.


Comparison between gain spectra as predicted by the theory for the parameters determined through the PL-comparison (red) and experimentally measured spectra (blue).
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