色散材料介电函数的偶极分析：对单斜Ga $_2$ O $_3$的应用
Dipole Analysis of the Dielectric Function of Colour Dispersive Materials: Application to Monoclinic Ga$_2$O$_3$
摘要：
我们适用于广义模型的确定和分析的光学各向异性材料的介电函数与色散声子模式，并表明它也可以推广到激子极化率和电子带-带跃迁。我们考虑到，张量分量的介电函数内的笛卡尔坐标系不是彼此独立的，而是投影的极化偶极子振荡沿方向定义的，非笛卡尔，晶体对称性和极化率。介电函数由一系列指向不同方向的振子组成。该模型的应用是示范性的单斜（$β$相）镓$_2$ O $_3$块体单晶。使用这个模型，我们能够与观察到的介电函数中的电子跃迁的原子键的方向和轨道的真实空间的晶体结构。对于揭示旋转畴的薄膜，我们表明，光学双轴性降低到单轴光学响应。
英文摘要：
We apply a generalized model for the determination and analysis of the dielectric function of optically anisotropic materials with colour dispersion to phonon modes and show that it can also be generalized to excitonic polarizabilities and electronic band-band transitions. We take into account that the tensor components of the dielectric function within the cartesian coordinate system are not independent from each other but are rather projections of the polarization of dipoles oscillating along directions defined by the, non-cartesian, crystal symmetry and polarizability. The dielectric function is then composed of a series of oscillators pointing in different directions. The application of this model is exemplarily demonstrated for monoclinic ($β$-phase) Ga$_2$O$_3$ bulk single crystals. Using this model, we are able to relate electronic transitions observed in the dielectric function to atomic bond directions and orbitals in the real space crystal structure. For thin films revealing rotational domains we show that the optical biaxiality is reduced to uniaxial optical response.
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