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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。
In order to evaluate the optical characteristics of an actual photonic crystal fiber more accurately and quickly, a method for evaluating the optical properties of an actual photonic crystal fiber based on total variation and wavelet transform is proposed. The total variation model in the wavelet transform domain is established. The Bregman algorithm is used to iteratively compute the noise of the photonic crystal fiber cross-sectional image effectively, and the edge structure of air hole in the cross-sectional image is maintained. Then the finite element method is used to realize the actual Accurate and rapid assessment of the optical properties of photonic crystal fibers. Through the evaluation of the characteristics of commercial and homemade photonic crystal fiber, the effectiveness of the proposed method is verified. The proposed method combines the advantages of total variation and wavelet transform, which can effectively remove the influence of Gibbs phenomenon and staircase effect and improve the accuracy of optical properties evaluation of photonic crystal fibers.