In this paper, we present a theoretical investigation of nonlinear optical properties of Al_xGa_1-x As-GaAs staircase-like quantum wells heterostructure under the effects of electric, magnetic, and intense laser fields. The electronic energy levels and their corresponding wave functions are computed numerically by solving the Schrödinger equation within the effective mass approximation. The obtained results show that the applied external fields have a huge impact on the intersubband transition between the ground and the first excited levels. The optical absorption coefficient and the relative refractive index changes can be blue shifted by increasing the electric field and red shifted by increasing the intense laser field parameter. However, we can obtain either the red or the blue shift by varying the intensity of an applied magnetic field. This interesting property of the applied magnetic field can be used in the design and fabrication of optoelectronic devices based on staircase-like quantum wells and operating in the red and blue domains.

在本文中，我们对Al _x Ga _1-x的非线性光学性质进行了理论研究。在电场，磁场和强激光场的作用下，As-GaAs阶梯状量子阱异质结构。通过在有效质量逼近范围内求解薛定er方程，可以对电子能级及其对应的波动函数进行数值计算。获得的结果表明，所施加的外部场对地面与第一激发能级之间的子带间跃迁具有巨大影响。可以通过增加电场使光吸收系数和相对折射率变化发生蓝移，而通过增加强激光场参数可以使光吸收系数和相对折射率变化发生红移。但是，我们可以通过改变施加的磁场强度来获得红移或蓝移。