Research on the diffraction characteristics of reflecting volume Bragg gratings with different apodizing functions

Lili Zheng, Yunxia Jin, Fanyu Kong, Jing Sun, Y. dong, Jianwei Mo, Hongchao Cao, Yuxing Han
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Abstract

Reflective Volume Bragg Grating (RBG) recorded in photo-thermo-refractive glass offers notable advantages, including high efficiency, narrow bandwidth, and multiplexing capabilities, making them ideal for applications in dense wavelength division multiplexing (DWDM) and demultiplexing. However, the side lobes caused by sudden changes in coupling strength at both ends of the grating always lead to interchannel interference, which evidently affects the effectiveness of multiplexing and demultiplexing. In this work, a theoretical model of the apodization for RBG, which based on Kogelnik's coupled wave theory and F-matrix theory. It is simulated and analyzed the effects of three apodization functions including cosine, gaussian, and hyperbolic secant functions is established. The simulation results indicate that the side lobes of the RBG with apodization is significantly reduced and the peak efficiency is determined by the total refractive index modulation. This work provides a theoretical design basis and parameters optimizing method for the development of apodized RBG.
不同光晕函数反射体布拉格光栅的衍射特性研究
用光热折射玻璃记录的反射体积布拉格光栅(RBG)具有显著的优势,包括高效率、窄带宽和多路复用能力,因此非常适合应用于密集波分复用(DWDM)和解复用。然而,光栅两端耦合强度的突然变化所引起的边叶总是会导致信道间干扰,这显然会影响复用和解复用的效果。本研究基于 Kogelnik 的耦合波理论和 F 矩阵理论,建立了 RBG 的光栅化理论模型。它模拟并分析了包括余弦函数、高斯函数和双曲正割函数在内的三种消旋函数的影响。仿真结果表明,RBG 的侧叶在光栅化后明显减少,峰值效率由总折射率调制决定。这项工作为开发渐晕 RBG 提供了理论设计基础和参数优化方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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