基于黎曼函数的宽带布里渊光谱信号解析算法  

Algorithm for Broadband Brillouin Spectra Analysis Based on Thomae′s Function

作　　者：夏栩笙 蔡向龙 李仲慧 沈陈诚 刘万发[1] 金玉奇[1] 桑凤亭[1] 郭敬为[1] XIA Xu-sheng;CAI Xiang-long;LI Zhong-hui;SHEN Chen-cheng;LIU Wan-fa;JIN Yu-qi;SANG Feng-ting;GUO Jing-wei(Key Laboratory of Chemical Lasers,Dalian Institute of Chemical Physics,Chinese Academy of Sciences,Dalian,Liaoning 116023 China;University of Chinese Academy of Sciences,Beijing 100049,China)

机构地区：[1]中国科学院大连化学物理研究所中科化学激光重点实验室,辽宁大连116023 [2]中国科学院大学,北京100049

出　　处：《光子学报》2020年第6期61-73,共13页Acta Photonica Sinica

基　　金：国家自然科学基金(Nos.11475177,61505210),中科院化学激光重点实验室创新基金(No.KLCL-2017-N13)。

摘　　要：针对布里渊激光雷达领域现在普遍使用的光源过于昂贵、笨重的问题,对可促成使用廉价紧凑光源的宽带布里渊信号的解谱算法进行了研究.在宽带布里渊光谱信号的处理过程中,首先构造了黎曼函数的一个变体,再利用该函数在布里渊频移处取极小值性质,从泵浦光-布里渊光的1∶1混合光谱信号中复原出了泵浦光的频谱并得到相对应的布里渊频移.对测试数据集的实验表明,在没有噪声的理想情况下算法准确率接近100%;而非理想状态下只有当噪声小于-30dB,且泵浦光和布里渊光幅值之比小于1.05时,算法才能得到准确结果.As the seed-injected lasers widely used in Brillouin Lidar area are too expensive and huge,the algorithm for a broadband Brillouin signal should be developed,which could accelerate the application of compact and economic diode lasers.A variation of Thomae′s function was found during the signal processing of broadband Brillouin lidar,and the property of this function-reaching minimum value at the Brillouin frequency shift was used to recover the original signal spectrum and the corresponding frequency shift from a 1∶1 superposition of pump light and Brillouin light spectra.Experiments using test data show nearly 100%accuracies for ideal cases;but for non-ideal cases,only when the noise level is less than-30 dB and the ratio of pump light to Brillouin light is less than 1.05 can this algorithm obtain accurate result.

关 键 词：光谱分析 宽带 布里渊散射 激光雷达 算法 黎曼函数 

分 类 号：TN249[电子电信—物理电子学]