Journal of Optoelectronics and Advanced Materials, vol.23, no.9-10, pp.457-462, 2021 (SCI-Expanded)
An analytical model is proposed to determine expressions of the semiconductor optical gain coefficient by using special functions. These expressions differ from standard numerical calculation approaches and they involve sums of polylogarithm and incomplete gamma functions. The new formula obtained here provides a sufficient method to calculate the semiconductor optical gain for total carrier density and temperature in semiconductor lasers. The obtained analytical expression gives an accurate and precise evaluation of the semiconductor gain function. The performance of the proposed formula is confirmed by its implementation for the different parameter values. The sufficiency of the obtained results using this approach is confirmed by other data from the literature.