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Derivation of analytical expressions for optical gain coefficient in bulk semiconductors



  1. Department of Medical Services and Techniques, Ulubey Vocational High School, Usak University, Usak, Turkey


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.


Optical gain coefficient, Semiconductor.

Submitted at: Sept. 23, 2020
Accepted at: Oct. 7, 2021


ELIF SOMUNCU, Derivation of analytical expressions for optical gain coefficient in bulk semiconductors, Journal of Optoelectronics and Advanced Materials Vol. 23, Iss. 9-10, pp. 457-462 (2021)