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

腔内谐振介质引起的光学过程的微观非局域理论

基本信息

批准号：
15540311
负责人：
CHO Kikuo
金额：
$ 2.37万
依托单位：
Fukui University of Technology, Department of Engineering (2004-2005)Osaka University (2003)
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2003
资助国家：
日本
起止时间：
2003 至 2005
项目状态：
已结题

项目摘要

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

在共振光学过程中，非共振偏振的影响通常是不可忽略的，但通过形成腔模式可以具有主要的重要性。基于这一背景思想，我们提出了谐振光学过程的一般公式，即谐振偏振与由于非谐振偏振导致的具有有限q因子的腔电磁场相互作用的形式，并进行了各种应用。由于激发极化在腔体电磁场中被重新归一化，不仅可以得到线性的、非共振的极化，而且可以得到其共振部分。在每一种重整化情况下，我们都给出了一种格林函数方法，使我们能够在充分考虑重整化腔模与剩余偏振部分相互作用的情况下，得到光响应的完全解。当对共振线极化进行重整化时，由于其磁化率的非局域性，可以得到解析形式的格林函数。该方案已从实际使用的一维多层腔扩展到二维和三维腔，这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阱的表面声波诱导的腔极化子的Bragg散射，以及反射和透射的调制光谱。由于利用了该过程的双谐振特性，对较弱的声表面波扰动具有较大的调制效应。作为第二个应用，我们开发了一种计算具有横向周期性的多层腔极化子的光子带色散的方法，目前正在研究如何通过调节侧向周期性来增强腔极化子的有效拉比分裂。此外，本文还提出了一种以波数作为频率函数的形式来计算光子带色散的新方法，这是计算任何光学响应所必需的，并且该方法已被证明可以提高数值精度。此外，我们还研究了(a)共振布拉格反射器光谱剧烈演化的新解释，(b)薄膜激子辐射位移与尺寸相关的实验证明，(c)研究一般半导体哈密顿量非线性磁化率抵消问题的新理论方案，(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)腔内两能级系统非线性过程的QED与半经典理论的比较研究。少