Abstract
In this study, the nonlinear second harmonic generation(SHG) and third harmonic generation(THG) in a GaAlAs/GaAs Rosen–Morse quantum well(QW) are studied theoretically. The analytical expressions of the SHG and THG of the Rosen–Morse QW are given systematically by using the density matrix theory and the iterative method. Also, the energy levels and the wave function of the Rosen–Morse QW system are gained with finite difference method. The effects of the structure parameter and applied electric field on energy levels and nonlinear optical properties are discussed in detail. It is found that the nonlinear SHG and THG are closely related to the structure parameter and applied electric field. The result show that the red- and blue-shift of the resonance peaks of the nonlinear SHG and THG of the system can be achieved by adjusting the system parameters, and the optimal system parameter for obtaining the maximum peak intensity are given.
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Project supported by the Natural Science Foundation of China (Grant Nos.11604289, 11804063, and 51971193), the BaGui scholar program of Guangxi Province in China and the Natural Science Foundation of Guangxi in China (Grant No.2016GXNSFBA380017).
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Xu, XY., Zhang, Wh., Song, ZY. et al. Electric field effect on the nonlinear second- and third-harmonic generation of a Rosen–Morse quantum well. Eur. Phys. J. Plus 138, 571 (2023). https://doi.org/10.1140/epjp/s13360-023-04203-x
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DOI: https://doi.org/10.1140/epjp/s13360-023-04203-x