本征不对称光纤法布里-珀罗干涉仪的理论模型

Mathematical Model for Fiber-Optical Non-Symmetrical Fabry-Perot Interferometric Cavity

应用光学和数学理论导出本征不对称光纤法布里 -珀罗干涉仪中反射光与透射光的数学模型及低反射率法布里 -珀罗干涉腔长度的变化与干涉光光强的数学模型 ,并指出当 r′1=t1t′1r2 =r,且 t1t′1=1- r′21≈ 1,则法布里 -珀罗腔反射光间的干涉近似为两束等幅光的干涉 ;文章还给出了光电转换器输出与法布里 -珀罗干涉腔长度变化的数学模型。这些模型为不对称光纤法布里 -珀罗干涉仪的使用提供理论依据。

The mathematical mode for reflectance and transmission of the fiber optical intrinsic unsymmetrical Fabry Perot interferometer (IUFPI) is presented. The mathematical model for fiber optical cavity longitudinal change of a low fineness IUFPI and intensity of the interferometric lignt is also presented. If r ′ 1=t 1t ′ 1r 2=r, and t 1t ′ 1= 1-r ′2 1≈1,  then the interference of reflections from fiber optical IUFPI can be approximately regarded as interference of two beams with equal amplitude. In the same time, the mathematical model for output of optical electronic converter and the interference intensity of two beams with equal amplitude is discussed. All the mathematical models are the foundation of fiber optical IUFPI applications.