Research on third-harmonic generation with position-dependent mass in a quantum well

In this paper, the energy levels and the wave functions of the Schrodinger equation with position-dependent mass are theoretically deduced, and they are brought into nonlinear optical third-harmonic generation. We find that the peak of the third-harmonic coefficient becomes larger and a blueshift occurs under the condition of variable mass. Moreover, with the increment of mass variable k, the energy interval E-ij decreases, which makes the coefficients suffer a redshift, and the absolute value of the matrix elements product vertical bar M12M23M34M41 vertical bar presents different monotonicity, which makes the peak value of the coefficient change regularly. (C) 2018 Optical Society of America