Abstract
The work investigates the space-time dynamics of semiconductor broad-area lasers with injection of external optical radiation and taking into account the broadening factor of the laser spectral line (alpha factor). It is shown that a nonzero alpha factor leads to modulation transverse instability, which leads to filamentation of laser radiation. It is shown that the injection of external optical radiation suppresses modulation instability and makes it possible to achieve stable spatially uniform paraxial lasing.
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