The theoretical investigation of linear and third-order nonlinear absorption coefficients and refractive index changes in the cylindrical quantum dot with two models of confinement potentials in axial direction, namely, modified Pöschl-Teller and Morse potentials, and parabolic potential in radial direction, have been considered in the presence of external electric and magnetic fields. The selection rules for intraband transitions have been obtained for both potentials in the presence and absence of external fields. The behavior of linear, nonlinear and total absorption spectra have been observed for different values of temperatures for both potentials taking into account electron population on energy levels. The effect of change in the direction of electric field on the absorption spectra have been investigated, and the asymmetric and symmetric characters of these potentials manifest themselves differently: the peak positions of absorption lines for Morse potential undergo blue and red shifts compared to the case when the external electric field is absent, while for the case of modified Pöschl-Teller potential the absorption lines have only red shift. The same dependencies have been obtained for refractive index changes for both potentials. The second and third harmonic generation coefficients as a function of the photon energy have been plotted both in the absence and presence of external fields.

对圆柱量子点的线性和三阶非线性吸收系数以及折射率变化进行了理论研究，其中使用了两个轴向约束电位模型，即修正的Pöschl-Teller和Morse势，以及径向抛物线势。考虑到存在外部电场和磁场。在存在和不存在外部场的情况下，都已获得了带内跃迁的选择规则。考虑到能级上的电子种群，已经针对两种电势的不同温度值观察到线性，非线性和总吸收光谱的行为。研究了电场方向变化对吸收光谱的影响，这些电势的不对称和对称特征也有所不同：与莫斯电势相比，在没有外部电场的情况下，吸收线的峰值位置发生蓝移和红移；而对于修正的Pöschl-Teller电势，则吸收线只有红移。对于两种电位的折射率变化已经获得了相同的依赖性。在不存在和存在外场的情况下，已经绘制了作为光子能量的函数的二次谐波和三次谐波产生系数。对于改良的Pöschl-Teller电位，吸收线仅发生红移。对于两种电位的折射率变化已经获得了相同的依赖性。在不存在和存在外场的情况下，已经绘制了作为光子能量的函数的二次谐波和三次谐波产生系数。对于改良的Pöschl-Teller电位，吸收线仅发生红移。对于两种电位的折射率变化已经获得了相同的依赖性。在不存在和存在外场的情况下，已经绘制了作为光子能量的函数的二次谐波和三次谐波产生系数。