Abstract
The optical gain spectra of inhomogeneously distributed semiconductor Quantum dots embedded in a di-electric matrix has been examined theoretically using density matrix treatment. The expression for the threshold field required to obtain optical gain has been obtained. We have examined the role of excitons and biexcitons in gain mechanism and found that the gain arising due to excitonic nonlinearity enhances in presence of biexcitons. A detailed numerical analysis established strong dependence of optical gain on size distribution function and it is found that an increased size distribution width yields larger gain and increased gain band width. The nonlinear gain is also found to increase in a matrix possessing larger dielectric constant.
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