The threshold gain difference for DFB lasers with various degrees of gain coupling and different strengths of facet reflectivities is calculated as a function of the random phases between grating and facet reflectivities. From this, the yield for single mode behaviour is determined. It is shown that even for cleaved facets a relevant improvement in terms of threshold gain difference is obtained by introducing a small fraction of gain coupling.
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David et al. (1990) studied this question.
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