Second-harmonic generation coefficients in asymmetrical semi-exponential quantum wells

Second-harmonic generation (SHG) coefficients in asymmetrical semi-exponential quantum wells (ASEQW) are studied theoretically. The eigenfunctions and the energy eigenvalues are obtained by solving Schrödinger equation within the framework of effective mass approximation. In addition, the analytic expression of SHG coefficients is acquired by using compact-density-matrix approach and iterative method. The results show that both σ and U0, which are parameters of the bound potential in the growth direction of ASEQW, have great influences on the magnitude and the resonant frequencies of SHG coefficients.