嵌套型开口谐振环阵列设计及其在冰层检测中的应用
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南京理工大学机械工程学院南京210094

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TP212.9;TN304.3

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国家重点研发计划、中央高校基础研究基金(309181A8804,30919011263)、江苏省自然科学基金(BK20190464)项目资助


Design of nested split ring resonator (NSRR) array and application in ice detection
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School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China

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    摘要:

    针对传统技术检测飞行器表面冰层厚度存在灵敏度低、检测面积小及线性度差的行业难题,利用嵌套型开口谐振环(nested split ring resonator, NSRR)结构辐射能力强、低损耗、高品质因数、场集中效应强、易小型化的特性,以尺寸大小为11×11 mm的NSRR单元结构为基础,设计并制备了一种由72个单元组成的传感器阵列,该阵列总体尺寸为88×99 mm,通过提取传感器阵列谐振频率偏移量实现金属结构件上冰层厚度的反演。ADS等效电路仿真结果表明,NSRR等效电容与传感器阵列的谐振频率存在一一对应关系。HFSS仿真结果表明,该传感器阵列具备不同浓度介质检测和毫米级冰层平均厚度测量的能力,仿真灵敏度为23.46 MHz/mm。实验结果表明,该传感器阵列的谐振频率与冰层平均厚度具有良好的线性关系,线性拟合的决定系数为0.989,对冰层平均厚度的最大检测灵敏度达到21.15 MHz/mm,最大相对误差小于5%,证明了该传感器能够实现对结构表面冰层平均厚度的大面积量化检测,具有高灵敏度、大尺寸、低成本、易扩展等优点。

    Abstract:

    In response to industry challenges such as low sensitivity, limited detection area, and poor linearity in conventional methods for measuring ice thickness on aircraft surfaces, this study proposes a sensor array based on the nested split-ring resonator (NSRR) structure. This structure is characterized by strong radiation capability, low loss, high quality factor, strong field confinement effect, and ease of miniaturization. A sensor array composed of 72 nested split-ring resonator (NSRR) units (11×11 mm) was designed and fabricated, achieving a compact footprint of 88×99 mm. This system quantifies ice thickness by monitoring shifts in resonance frequency. ADS equivalent circuit simulations revealed a deterministic relationship between the NSRR’s equivalent capacitance and the array’s resonance frequency. HFSS electromagnetic simulations further demonstrated the array’s capability to detect media with varying dielectric constants and measure ice thickness at millimeter-scale resolution, with a simulated sensitivity of 23.46 MHz/mm. Experimental results further validate a strong linear relationship between the resonance frequency and average ice thickness, with a coefficient of determination (R2) of 0.989. The maximum detection sensitivity reaches 21.15 MHz/mm, with a maximum relative error of less than 5%. These findings demonstrate that the proposed sensor facilitates large-area, quantitative detection of average ice thickness on structural surfaces, offering advantages such as high sensitivity, extensive coverage, low cost, and scalability.

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胡崇琳,高尚,王浩,杨尚可,江剑.嵌套型开口谐振环阵列设计及其在冰层检测中的应用[J].电子测量与仪器学报,2025,39(5):11-18

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