中文摘要：

将修正的矢量等效折射率模型和耦合模理论相结合,系统地研究了光子晶体光纤长周期光栅(PCFLPG)的特性.验证了光子晶体光纤长周期光栅的双谐振峰特性;定量地研究了光子晶体光纤结构参数如空气孔间距、相对孔径比和光栅参数如光栅周期、光栅长度、折射率调制深度和光栅啁啾量对光栅谐振峰强度和谐振波长的影响.研究结果为光子晶体光纤长周期光栅在光纤通信、光纤传感等方面的应用提供了理论依据.

英文摘要：

The properties of long period gratings in photonic crystal fibers (PCFLPG) are systematically analyzed by the improved full-vector effective index model and the coupled mode theory. Dual-resonance peak occurs in PCFLPG. The dependence of the coupling strength and the resonance wavelength on the hole pitch, the hole-to-pitch ratio, the grating period, the length of grating, the refractive index modulation depth and the chirp coefficient is studied. The results provide the theoretical basis for the applications of PCFLPG in the optical fiber communication, the optical fiber sensing and so on.