Approximate expressions for modulation speed and threshold for performance optimization of biaxially compressive strain quantum-well lasers

Simple analytical expressions for transparency, threshold, and relaxation oscillation corner frequency are derived for biaxial strain quantum-well lasers. An optimal operating point loss for high speed operation (in the absence of nonlinear gain) is established which varies as the square root of the number of quantum wells. The corresponding relaxation oscillation frequency is found to depend only on fundamental quantities. Its power dependence is [ 2rR( max) = (87 GHz $&%%?) (Power,,,/V,,,& 1’2] where Vmode is the mode volume.