结合全变差和小波变换的PCF光特性评估方法

为了更准确、快速评估实际光子晶体光纤的光特性，提出了一种基于全变差和小波变换的实际光子晶体光纤光特性评估方法。建立了在小波变换域上的全变差模型，利用Bregman算法进行迭代运算，有效地滤除光子晶体光纤截面图像的噪声，并保持截面图像空气孔的边缘结构，进而结合有限元方法，实现实际光子晶体光纤的光特性的准确快速评估。通过对商用及自制光子晶体光纤的特性评估，验证了所提出方法的有效性。文中所提出的方法结合了全变差和小波变换的优点，可以有效去除吉布斯现象和阶梯效应的影响，提高了光子晶体光纤光特性评估的精度。

Evaluation method of optical properties for photonic crystal fibers based on total variation and wavelet model

Based on the combination model of total variation and wavelet transform, an improved method was proposed to rapidly evaluate the optical properties of actual Photonic Crystal Fibers(PCFs). Firstly, the total variation model in the wavelet domain was set up in this paper. Secondly, the split Bregman algorithm was used iteratively to denoise the cross-section images of PCFs, and thus the edge structures of air holes of PCFs image was kept. Thirdly, the optical properties of practical PCFs were evaluated rapidly by the adoption of the finite element method. By analyzing microscope images of cross sections of commercial and homemade PCFs, it is proved that the proposed method can achieve higher evaluation accuracy of optical properties of PCFs and the Gibbs and staircase effect can be eliminated efficiently in the extraction process of the edges of air holes in PCFs image.