互补开口谐振环微带传感器介电常数的测量
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摘要
介电常数是材料的重要特性之一,采用互补开口谐振环微带传感器实现了不同厚度待测物质介电常数的无损测量。方形互补开口谐振环蚀刻在微带线接地平面上,与微带线耦合实现谐振,分析了谐振器的等效电路,讨论了介电常数与谐振频率之间的关系。通过有限元分析,谐振频率的负二次方与待测物质的介电常数实部值存在线性关系,且线性关系受待测物质的厚度影响;介电常数的虚部值对谐振频率的影响可忽略不计;最终建立了介电常数实部值与谐振频率和样本厚度之间的数学解析式。实验测试结果表明,当待测样品的厚度大于2 mm时,实部介电常数的相对测量误差小于3.5%。
Permittivity is one of the most important parameters of materials; in this work,a microstrip sensor based on a complementary split-ring resonator( CSRR) is proposed for permittivity noninvasive measurement of materials with different thickness. The rectangular CSRR is etched in the ground plane of a microstrip line and is coupled with this line for resonance. The paper analyzes the equivalent circuit of the resonator,discusses the relationship between the permittivity and the resonant frequency. The finite element analysis shows that the negative squared resonant frequency varies linearly with the real permittivity,and the linear relationship is affected by the thickness of the material under test. The effect of the imaginary permittivity on resonant frequency can be ignored. A numerical model is developed for the calculation of the real permittivity as a function of resonant frequency and the thickness of material under test. The numerical model is experimentally verified for various reference samples,it is found that real permittivity measurement using proposed sensor is possible with the relative error of less than 3.5% when the thickness of the material under test is thicker than 2 mm.
Permittivity is one of the most important parameters of materials; in this work,a microstrip sensor based on a complementary split-ring resonator( CSRR) is proposed for permittivity noninvasive measurement of materials with different thickness. The rectangular CSRR is etched in the ground plane of a microstrip line and is coupled with this line for resonance. The paper analyzes the equivalent circuit of the resonator,discusses the relationship between the permittivity and the resonant frequency. The finite element analysis shows that the negative squared resonant frequency varies linearly with the real permittivity,and the linear relationship is affected by the thickness of the material under test. The effect of the imaginary permittivity on resonant frequency can be ignored. A numerical model is developed for the calculation of the real permittivity as a function of resonant frequency and the thickness of material under test. The numerical model is experimentally verified for various reference samples,it is found that real permittivity measurement using proposed sensor is possible with the relative error of less than 3.5% when the thickness of the material under test is thicker than 2 mm.
引文
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[12] 孙景芳,李永倩,张淑娥.倒置微带贴片谐振器测量汽轮机湿度的研究[J].电子测量与仪器学报,2017,31(8):1274-1280.
[13] Bonache J,Gil M,Gil I,et al.On the Electrical Characteristics of Complementary Metamaterial Resonators[J].IEEE Microwave & Wireless Components Letters,2006,16(10):543-545.
[14] Albishi A,Ramahi O.Detection of Surface and Subsurface Cracks in Metallic and Non-Metallic Materials Using a Complementary Split-Ring Resonator[J].Sensors,2014,14(10):19354-19370.
[15] Pozar David M.微波工程[M].第3版.张肇仪,周乐柱,吴德明,等译.北京:电子工业出版社,2015.
[2] 曹波,李青,张杨锴,等.基于螺旋平行线与时域反射法的地面塌陷变形测量技术研究[J].科学技术与工程,2015,15(30):166-169.
[3] 詹振海,韩念琛,蒋文强,等.基于频率特性的平行板电容式土壤水检测研究[J].科学技术与工程,2017,17(21):222-227.
[4] 唐宗熙,张彪.用自由空间法测试介质电磁参数[J].Acta Electronica Sinica,2006,34(1):189-192.
[5] 张云祥,赵志钦,史维光,等.自由空间法分析介质蜂窝等效复介电常数[J].电讯技术,2013,53(11):1518-1522.
[6] 胡大海,赵锐,杜刘革,等.太赫兹平板材料介电常数测试技术[J].微波学报,2016,32(5):1-5.
[7] 景莘慧,蒋全兴.利用改进的同轴线传输/反射法测量材料的射频电磁参数[J].功能材料,2005,36(12):1985-1990.
[8] 赵才军,蒋全兴,景莘慧.改进的同轴传输/反射法测量复介电常数[J].仪器仪表学报,2011,32(3):695-700.
[9] Narayanan P M.Microstrip Transmission Line Method for Broadband Permittivity Measurement of Dielectric Substrates[J].IEEE Transactions on Microwave Theory and Techniques,2014,62(11):2784-2790.
[10] Jha A K,Akhtar M J.A Generalized Rectangular Cavity Approach for Determination of Complex Permittivity of Materials[J].IEEE Transactions on Instrumentation and Measurement,2014,63(11):2632-2641.
[11] 王益,张翠翠,王建忠,等.闭式谐振腔法微波介质陶瓷介电常数测量[J].仪器仪表学报,2017,38(10):2500-2507.
[12] 孙景芳,李永倩,张淑娥.倒置微带贴片谐振器测量汽轮机湿度的研究[J].电子测量与仪器学报,2017,31(8):1274-1280.
[13] Bonache J,Gil M,Gil I,et al.On the Electrical Characteristics of Complementary Metamaterial Resonators[J].IEEE Microwave & Wireless Components Letters,2006,16(10):543-545.
[14] Albishi A,Ramahi O.Detection of Surface and Subsurface Cracks in Metallic and Non-Metallic Materials Using a Complementary Split-Ring Resonator[J].Sensors,2014,14(10):19354-19370.
[15] Pozar David M.微波工程[M].第3版.张肇仪,周乐柱,吴德明,等译.北京:电子工业出版社,2015.
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