This study investigates the impact of laser and electric fields on the electronic and optical properties of a 2D hemicylindrical quantum system. Using the effective mass approximation and solving the Schrödinger equation numerically via the finite element method, we analyze the Stark shift, binding energy, polarizability, and photoionization cross section under varying impurity positions and external field strengths. The results reveal that both fields significantly modify the confinement potential, leading to distinct nonlinear behaviors. The Stark shift exhibits a strong dependence on laser intensity, depending on the impurity localization, with a critical intersection point emerging under specific conditions. Similarly, the binding energy decreases as laser intensity increases, with critical field strengths influencing this trend. The polarizability displays strong field-dependent variations, transitioning from linear to nonlinear regimes. Additionally, the photoionization cross section undergoes a redshift with increasing laser intensity, while electric field effects enhance peak intensities due to Stark localization. These findings provide valuable insights into the tunability of quantum-confined systems, contributing to the design of advanced optoelectronic and quantum devices.
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