利用格林函数方法量子化色散吸收介质中的电磁场,针对由三层色散吸收介质组成的一维光学系统,研究其中光场的量子理论,借助起伏耗散定理给出色散吸收介质光腔中光场量子起伏的功率谱,并通过数值计算结果分析和讨论介质的色散吸收性质对光学器件工作性能的影响。结果表明,系统的工作状态与所选光场频率密切相关,并且每一区域中介质的色散吸收性不但影响自身区域的电场起伏功率谱,而且明显地连带另一侧介质中电场起伏功率谱的变化行为。此结果对于研究复杂的介质分布与结构体系在光通信、现代光学工程、微波技术等领域中的实际应用有着重要的指导意义。

The electromagnetic field is quantized in absorbing and dispersive dielectrics by Green's function method, and the quantum theory of the optical field is investigated one-dimensional system consisted of three-layered absorbing and dispersive dielectrics. The power spectrum of quantum fluctuations of the optical field in the dispersion and absorption dielectrics cavity is given by the fluctuation-dissipation theorem, and the effect of the dispersive and absorbing character of the dielectrics on the workability of an optical system is discussed by numerical caculation. The result shows that the working state of a system is connected with the frequency of the optical field. Absorbing and dispersive character of the dielectrics in every area influences not only the power spectrum of the electric field fluctuation of its ambient region, but also the other side's. There is an important meaning for exploring the pratical applications of the complicated dielectric distribution and structural system in optical communication, modern optic-engineering and microwave technology in the result.