The shallow donor single dopant confined in the multilayer cylindrical quantum dots is investigated numerically within the framework of effective-mass approximation. The Schrödinger equation that governs the wave function of a complicated system is solved numerically by the finite element method using the Python programming language. The results indicate that the photoionization cross section (PCS) is similar to the Gauss function curve, the height of the curve's peak is proportional to oscillator strength, and the center peak position is related to the impurity binding energy. These two last parameters are dependent on the distribution of probability density across each part of the system. The probability density is tuned by the electron confinement and optical transition. The augmentation of dot radius or temperature decreases the electron confinement, which causes a redshift of PCS, and the presence of hydrostatic pressure blue shifts the PCS. On the other side, As the dot radius and hydrostatic pressure are increased, the oscillator's strength increases, raising values near the critical energy, and vice versa for temperature.

在有效质量近似的框架内对限制在多层圆柱形量子点中的浅施主单掺杂剂进行了数值研究。支配复杂系统的波函​​数的薛定谔方程通过有限元法使用 Python 编程语言进行数值求解。结果表明，光电离截面（PCS）与高斯函数曲线相似，曲线峰高与振子强度成正比。, 中心峰位置与杂质结合能有关。最后两个参数取决于系统每个部分的概率密度分布。概率密度由电子限制和光学跃迁调整。点半径或温度的增加会降低电子限制，从而导致 PCS 红移，并且静水压力的存在使 PCS 蓝移。另一方面，随着圆点半径和静水压力的增加，振荡器的强度增加，提高临界能量附近的值，反之亦然。