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

Abstract:

In this paper, the energy levels and the wave functions of the Schrödinger 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 Eij decreases, which makes the coefficients suffer a redshift, and the absolute value of the matrix elements product jM12M23M34M41j presents different monotonicity, which makes the peak value of the coefficient change regularly.