运用矩阵光学中变换矩阵的理论,并以重叠面积积分的方法为基础,推导出了普遍适用于计算光在光通信元器件中光耦合效率的理论公式,可通过设置边界条件计算单模光纤、扩束光纤、半导体激光二极管以及光波导等不同光学元器件之间的耦合效率。导出了计算单模光纤之间和单模光纤与扩束光纤之间存在横向偏移、轴向偏移时的耦合效率理论通用公式。阐述了扩束光纤的制作方法及光在扩束光纤中的传播,并根据所推导耦合效率理论公式计算结果与单模光纤间和单模光纤与扩束光纤间的耦合实验数据进行了比较。

Based on the transformation theory of ray matrix and the overlap area integration method, a theoretical analysis has been performed and the coupling efficiencies of optical signal have been calculated in single-mode fiber, expanded fiber, laser diode, and optical waveguide etc, in taking into consideration of specific boundary condition in each case. The obtained formulation is applicable in many practical issues. A manufacture method of expanded fiber is presented and described with our newly formed theory. A comparison of theoretical with experimental results was made.