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光楔是实现光纤法布里-珀罗(F-P)传感器互相关解调的重要光学元件。根据互相关解调的原理分析了造成光楔和光纤F-P传感器F-P腔的反射光相位不同的因素,进而建立了光楔的干涉光强的数学模型,在此基础上对具有不同反射率的光楔的干涉光强进行了数值仿真,和相同反射率的光纤F-P传感器F-P腔的干涉光强对比之后建立了光楔的简化数学模型。对光楔的简化数学模型进行的误差分析表明:当光楔的楔角小于0.1°且两端面反射率乘积不大于9%时,光楔的简化数学模型引入的误差小于0.6%。光楔的数学模型为建立基于互相关解调的光纤F-P传感系统以及进一步提高系统的解调精度奠定了理论基础。
The optical wedge is an important optical element that enables the fiber-optic Fabry-Perot (F-P) sensor cross-correlation demodulation. According to the principle of cross-correlation demodulation, the phase difference of the reflected light between the wedge and the fiber FP sensor is analyzed, and then the mathematical model of the interference intensity of the wedge is established. Based on this, the light with different reflectivity The interference intensity of the wedge is numerically simulated, and a simplified mathematical model of the optical wedge is established after comparing with the interference intensity of the FP optical fiber FP sensor with the same reflectivity. The error analysis of the simplified wedge model shows that the error introduced by the simplified wedge model is less than 0.6% when wedge angle of optical wedge is less than 0.1 ° and the reflectivity of two end faces is no more than 9%. The mathematical model of optical wedge lays a theoretical foundation for the establishment of optical fiber F-P sensing system based on cross-correlation demodulation and further improvement of the demodulation accuracy of the system.