为了准确估计实际光子晶体光纤(photonic crystal fibers, PCFs)的光特性, 提出一种基于Contourlet变换的压缩感知重建方法来重建实际PCFs的截面, 进而对实际PCFs的光特性进行快速评估。结合全变差去噪方法, 对经典图像、商用大模场面积PCF和保偏PCF的光特性进行评估, 结果表明, 提出的方法可以有效保留PCFs截面空气孔多尺度多方向的特征, 光特性的评估结果与产品参数相吻合。这也是目前首次将基于Contourlet变换的压缩感知应用于PCFs的光特性估计, 研究工作为实际PCFs光特性的快速准确估计提供了有效的手段。

An evaluation method of real photonic crystal fibers(PCFs) based on compressed sensing with Contourlet transform was proposed for evaluating optical properties of PCFs. Integrated with the total variation denoising method, only 48% cross-section data of PCFs can be used to reconstruct the whole cross-section of PCF, and the edge features of air holes in multi-scale and multi-direction were also effectively preserved. The classical images, a large mode area PCF and a polarization maintaining PCF product were used to verify the effectiveness of the proposed method. Experimental results demonstrated that the cross-section images of real PCFs can be effectively rebuilt by 48% cross-section data. To the best of our knowledge, it is the first time to apply the compressed sensing with the Contourlet transform to reconstruct the cross-section images of PCFs for evaluating the optical properties of real PCFs.