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对色散补偿啁啾光纤光栅耦合模方程进行了理论研究,提出了耦合模方程的一种解法。讨论了光纤光栅的透射率和反射率是位置函数的问题,进一步研究了啁啾光栅色散补偿器的耦合系数和色散系数。研究结果表明:啁啾光纤光栅的反射率不仅与光栅的模式耦合系数有关,同时也与变周期有关;减小光栅的模式耦合系数可以增大耦合效率和提高光栅反射率。对于色散补偿器来说,它的带宽必须大于光脉冲的带宽,啁啾光栅的带宽越窄,它的色散系数就越大。
Chromatic dispersion compensated chirped fiber grating coupled mode equations are studied theoretically, and a solution of coupled mode equations is proposed. The transmission and reflectance of FBG are discussed as a function of position, and the coupling coefficient and dispersion coefficient of chirped grating dispersion compensator are further studied. The results show that the reflectivity of chirped FBG is not only related to the mode coupling coefficient of the grating, but also related to the variable period. Reducing the mode coupling coefficient of the grating can increase the coupling efficiency and improve the grating reflectivity. For a dispersion compensator, its bandwidth must be greater than the bandwidth of the optical pulse. The narrower the bandwidth of a chirped grating, the greater its dispersion coefficient.