Microscopic nonlocal theory of the optical processes due to resonant medium in a cavity

在共振光学过程中，非共振偏振的影响通常是不可忽略的，但通过腔模式的形成可以起到主要作用。基于这一背景思想，我们给出了共振偏振与非共振偏振产生的有限Q因子腔体电磁场相互作用形式的共振光学过程的一般公式，并进行了各种应用。由于激发极化在腔体电磁场中被重整化，不仅线性的、非共振的极化是可能的，而且其共振部分也是可能的。在重整化的每一种情况下，我们都给出了格林函数方法，它使我们能够在适当考虑重整化腔模与剩余偏振部分之间的相互作用的情况下，得到光学响应的完整解。当共振线偏振被重整化时，由于其电感…的非局域性，得到了解析形式的格林函数更多的灵活性。将这一方案从实用的一维多层腔推广到二维和三维腔，使我们能够讨论共振二阶光学过程中“尺寸和形状”相关的辐射寿命。作为应用的第一个例子，计算了多层腔中量子井腔极化子的声表面波(SAW)诱导的布拉格散射，以及反射率和透射率的调制谱。由于利用了这一过程的双谐振特性，对声表面波相当弱的干扰获得了很大的调制效应。作为第二种应用，我们发展了一种计算具有横向周期的多层腔极化电子的光子带色散的方法，目前正在研究如何通过调整横向周期来提高腔极化电子的有效拉比分裂。此外，我们还研究了(A)对共振Bragg反射器光谱急剧演化的新解释，(B)我们之前提出的薄膜激子辐射漂移的实验证明，(C)研究一般半导体哈密顿量的非线性极化率抵消问题的新的理论方案，(D)核壳腔中激子的光学响应，(E)螺旋激子的线性和非线性响应；(F)腔内二能级系统非线性过程的QED理论和半经典理论的比较研究。较少

The effect of nonresonant polarization in resonant optical processes is generally not negligible, but can have principal importance via the formation of cavity modes. Based on this background idea, we have made a general formulation of resonant optical processes in the form of the interaction of resonant polarization and the cavity EM field with finite Q-factor due to nonresonant polarization, and various applications have been performed. As the induced polarization to be renormalized in the cavity EM field, not only the linear, nonresonant polarization, but also its resonant part is possible. In each case of renormalization, we have given a Green function method, which enables us to obtain the complete solution of optical response with due consideration of the interaction between renormalized cavity mode and remaining part of polarization. When the resonant linear polarization is renormalized, the Green function is obtained in an analytical form due to the nonlocality of its susceptib … More ility. The extension of this scheme has been made from practically useful 1D multilayer cavity to 2D and 3D cavities, which allows us to discuss the "size and shape" dependent radiative lifetime in the resonant second order optical processes. As the first example of application, the SAW (surface acoustic wave) induced Bragg scattering of cavity polaritons of a quantum well in a multilayer cavity has been calculated, together with the modulated spectra of reflectivity and transmission. Because of the use of doubly resonant character of this process, a large modulation effect has been obtained for a rather weak disturbance by SAW. As the second application, we have developed a method of calculation of the photonic band dispersion for a multilayer cavity polaritons with a lateral periodicity and it is now being investigated how the effective Rabi splitting of the cavity polariton is enhanced by adjusting the lateral periodicity. Also, a new method has been developed to calculate photonic band dispersion in the form of wave numbers as functions of a frequency, which is necessary to calculate any optical responses, and this method has turned out to increase the numerical accuracy.Additionally, we have investigated (a)a new interpretation of the drastic evolution of optical spectrum of a resonant Bragg reflector, (b)an experimental proof of the size dependent radiative shift of a thin film exciton, which we proposed before, (c)a new theoretical scheme to study the cancellation problem of nonlinear susceptibilities for a general semiconductor Hamiltonian, (d)optical responses of excitons in a core shell cavity, (e)linear and nonlinear responses of spiral excitons, (f)comparing study of QED and semiclassical theory of a nonlinear process for a two-level system in a cavity. Less