Exciton Raman scattering of a three-level system is observed in a CdO/ZnO quantum dot using the size dependent Smorodinsky–Winternitz potential. Resonance Raman excitation for the fundamental optical transition is concentrated in the present work. The differential cross section of Raman optical intensity associated with the exciton is computed with the incident photon energy and the geometrical confinement effect. Raman differential cross section is found by the third-order harmonic generation. The built-in internal fields are incorporated in the heterostructure. They arise between the interior and outer core/shell materials in the heterostructure which contains the spontaneous polarization and piezoelectric polarization. The Hamiltonian of the exciton is included with the dielectric mismatch effect and the variational approach with Hylleraas co-ordinates are employed to obtain the energy eigen values numerically. The energy dependent effective mass of electron and the size related strain-induced potentials for the conduction and valence bands are incorporated in the Hamiltonian. The nonlinear optical properties are obtained with the density matrix approach. The results show that the Raman intensities are more influenced in the strong confinement region. The resonance peak Raman intensity is observed as 6.84 (arb.units) for a 60 A spherical dot. The Raman gain is optimized by varying the dot size. And, the Raman optical gain as high as 240/cm is achieved for the dot radius, 22 A of CdO/ZnO spherical quantum dot. This can be employed for the potential applications in optical devices.

中文翻译：

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具有 Hylleraas 坐标的应变氧化物量子点中的带间光学拉曼增益

使用与尺寸相关的 Smorodinsky-Winternitz 势，在 CdO/ZnO 量子点中观察到三能级系统的激子拉曼散射。基本光学跃迁的共振拉曼激发集中在目前的工作中。与激子相关的拉曼光强的微分截面是用入射光子能量和几何限制效应计算的。拉曼微分截面是通过三次谐波生成找到的。内置的内部字段并入异质结构中。它们出现在包含自发极化和压电极化的异质结构中的内部和外部核/壳材料之间。激子的哈密顿量包含在介电失配效应中，并采用具有 Hylleraas 坐标的变分方法以数值方式获得能量特征值。电子的能量依赖有效质量和导带和价带的尺寸相关应变诱导电位被纳入哈密顿量。非线性光学特性是通过密度矩阵方法获得的。结果表明，拉曼强度在强约束区受到的影响更大。对于 60 A 球形点，观察到共振峰拉曼强度为 6.84 (arb.units)。通过改变点尺寸来优化拉曼增益。并且，CdO/ZnO 球形量子点的点半径为 22 A，实现了高达 240/cm 的拉曼光学增益。