基于谐振微扰技术的PAM溶液浓度测量方法  

Measurement method of PAM solution concentration based on resonance perturbation technology

作　　者：熊杰 肖夏 李桥 Xiong Jie;Xiao Xia;Li Qiao(Tianjin Key Laboratory of Imaging and Sensing Microelectronic Technology,School of Microelectronics,Tianjin University,Tianjin,300072,China)

机构地区：[1]天津市成像与传感微电子技术重点实验室,天津大学微电子学院,天津300072

出　　处：《南京大学学报（自然科学版）》2022年第2期356-363,共8页Journal of Nanjing University（Natural Science）

摘　　要：提出一种基于谐振微扰技术的聚丙烯酰胺(Polyacrylamide,PAM)溶液浓度的测量方法.通过高频结构模型的建立与仿真分析,设计工作频率为7 GHz的TE;模圆柱形谐振腔,在传统微扰理论的基础上考虑材料微扰技术中介质的介电常数变化相对较大时计算值的偏差,并结合形状微扰技术分析电导率对谐振腔谐振频率的影响.结合理论推导与仿真数据获得了修正参数,建立了适用于高损耗溶液介质的微扰数学模型.配制浓度梯度为25 mg·L^(-1)、浓度范围为100~300 mg·L^(-1)的九组PAM溶液,通过矢量网络分析仪(Vector Network Analyzer,VNA)进行实验验证.实验结果表明,谐振腔谐振频率与溶液浓度的对应关系与理论计算一致,浓度测量的总体相对误差低于4.1%,平均测量误差为2.62%.In this paper,the method for measuring the concentration of polyacrylamide(PAM)solution based on resonance perturbation technology is proposed.The TE;mode cylindrical resonator with the working frequency of 7 GHz is designed through the establishment and simulation analysis of high frequency structure model.On the basis of the classical perturbation theory,the deviation of the calculated value when the dielectric constant of the medium changes relatively large in the material perturbation technique is considered,and the influence of the conductivity on the resonant frequency of the resonator is analyzed combined with the shape perturbation technique.Combining theoretical derivation and simulation data,the correction parameters are obtained,and the complete perturbation mathematical model suitable for high loss solution medium is established.Nine groups of PAM solutions with concentration gradient of 25 mg·L^(-1)and concentration range from 100 to 300mg·L^(-1)are prepared.Through the vector network analyzer(VNA)for experimental verification,the experimental measurement results show that the corresponding relationship between the resonance frequency of the resonant cavity and the solution concentration is consistent with the theoretical calculation.The overall relative error of concentration measurement is less than 4.1%,and the average measurement error is 2.62%.

关 键 词：微扰技术 微波谐振腔 聚丙烯酰胺溶液 浓度测量 

分 类 号：TN98[电子电信—信息与通信工程]