Studies on the third-harmonic generation coefficients in asymmetrical semi-exponential quantum wells

Third-harmonic generation (THG) coefficients in asymmetrical semi-exponential quantum wells (ASEQW) are studied theoretically. We obtain the eigenfunctions and the energy eigenvalues by means of solving Schrödinger equation within the framework of effective mass approximation. Besides, the analytic expression of THG coefficients is acquired through using compact-density-matrix approach and iterative method. The results show that both the amount of peaks of THG coefficients and the magnitude of peaks are significantly affected by σ and U0, which are parameters refer to the intensity of confinement potential in the growth direction of ASEQW.