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Licensed Unlicensed Requires Authentication Published by De Gruyter November 27, 2019

A Position-Independent Reflection-Only Method for Complex Permittivity and Permeability Determination with One Sample

  • Chuang Yang EMAIL logo
From the journal Frequenz

Abstract

This paper presents a position-independent reflection-only method for determining complex permittivity and permeability of a sample. In this method, both the short and match calibration kits are used to measure the reflection coefficients. Only one sample positioned arbitrarily is measured using a one-port vector network analyzer (VNA), while the complex permittivity and permeability of the sample are determined simultaneously. Experimental results in X-band for the Acrylonitrile Butadiene Styrene plastic (ABS) are included to exhibit the validity of the proposed method. The results show that the complex permittivity and permeability determined by the proposed method have a good agreement with the parameters determined by the well-known Nicolson–Ross–Weir (NRW) method. In addition, a magnetic material is simulated to further validate the proposed method.

Funding statement: This work was supported by National Key R&D Program of China, Grant Number:2016YFA0202200; AoShan Talents Outstanding Scientist Program Supported by Pilot National Laboratory for Marine Science and Technology, Grant Number: 2017ASTCP-OS03;Leading Talents of Guangdong Province Program, Grant Number:2016LJ06D557

Acknowledgements

The author would like to thank Dr Huang Hui for teaching of the microwave measurement techniques and Xinchen Technologies Co., Ltd., Beijing, China, for supplying the test equipment

References

[1] L F. Chen, C. K. Ong, C. P. Neo, V. V. Varadan, and V. K. Varadan, Microwave Electronics: Measurement and Materials Characterization. West Sussex, U.K.: Wiley, 2004.10.1002/0470020466Search in Google Scholar

[2] M. Nicolson, and G. F. Ross, “Measurement of the intrinsic properties of materials by time-domain techniques,” IEEE Trans Instrum Meas, vol. IM-19, no. 4, pp. 377–382, Nov. 1970.10.1109/TIM.1970.4313932Search in Google Scholar

[3] W. B. Weir, “Automatic measurement of complex dielectric constant and permeability at microwave frequencies,” Proc IEEE, vol. 62, no. 1, pp. 33–36, Jan. 1974.10.1109/PROC.1974.9382Search in Google Scholar

[4] D. A. Houtz, D. Gu, and D. K. Walker, “An improved two-port transmission line permittivity and permeability determination method with shorted sample,” IEEE Trans Microw Theory Techn, vol. 64, no. 11, pp. 3820–3827, Nov. 2016.10.1109/TMTT.2016.2606389Search in Google Scholar

[5] J. Baker-Jarvis, M. D. Janezic, J. H. Grosvenor, Jr., and R G. Geyer, “Transmission/reflection and short-circuit line methods for measuring permittivity and permeability,” NIST, Boulder, CO, USA, Tech. Note 1355-R, 1992.Search in Google Scholar

[6] J. Baker-Jarvis, E. J. Vanzura, and W. A. Kissick, “Improved technique for determining complex permittivity with the transmission/reflection method,” IEEE Trans Microw Theory Techn, vol. 38, no. 8, pp. 1096–1103, Aug. 1990.10.1109/22.57336Search in Google Scholar

[7] J. Baker-Jarvis, R. G. Geyer, and P. D. Domich, “A nonlinear least-squares solution with causality constraints applied to transmission line permittivity and permeability determination,” IEEE Trans Instrum Meas, vol. 41, no. 5, pp. 646–652, Oct. 1992.10.1109/19.177336Search in Google Scholar

[8] L. Li, H. Hu, P. Tang, R. Li, B. Chen, and Z. He, “Compact dielectric constant characterization of low-loss thin dielectric slabs with microwave reflection measurement,” IEEE Antennas Wireless Propag Lett, vol. 17, pp. 575–578, Apr. 2018.10.1109/LAWP.2018.2803769Search in Google Scholar

[9] P. I. Somlo, “A convenient self-checking method for the automated microwave measurement of μ and ɛ,” IEEE Trans Instrum Meas, vol. 42, no. 4, pp. 213–216, Apr. 1993.10.1109/19.278551Search in Google Scholar

[10] U. C. Hasar and M. T. Yurtcan, “A microwave method based on amplitude-only reflection measurements for permittivity determination of low-loss materials,” Measurement, vol. 43, no. 9, pp. 1255–1265, 2010.10.1016/j.measurement.2010.07.002Search in Google Scholar

[11] R. A. Fenner, E. J. Rothwell, and L. L. Frasch, “A comprehensive analysis of free-space and guided-wave techniques for extracting the permeability and permittivity of materials using reflection-only measurements,” Radio Sci, vol. 47, no. 1, pp. RS1004: 1–13, Feb. 2012.10.1029/2011RS004755Search in Google Scholar

[12] Kukolev et al., “The methods of investigation of complex dielectric permittivity of layer polymers containing conductive inclusions”, inOptical and Electrical Properties of Polymers, Materials Research Society Symposia Proceedings, Pittsburgh, PA, USA, 1992, pp. 119–124.Search in Google Scholar

[13] K. H. Baek, J. C. Chun, and W. S. Park, “A position-insensitive measurement of the permittivity and permeability in coaxial airline,” 43rd ARFTG Cont Dig, San Diego, CA, USA, pp. 112–116, 1994.10.1109/ARFTG.1994.327066Search in Google Scholar

[14] U. C. Hasar, “Determination of complex permittivity of low-loss samples from position-invariant transmission and shorted-reflection measurements,” IEEE Trans Microw Theory Techn, vol. 66, no. 2, pp. 1090–1098, Feb. 2018.10.1109/TMTT.2017.2772864Search in Google Scholar

[15] A. Rashidian, L. Shafai, D. Klymyshyn, and C. Shafai, “A fast and efficient free-space dielectric measurement technique at mm-wave frequencies,” IEEE Antennas Wireless Propag Lett, vol. 16, pp. 2630–2633, Aug. 2017.10.1109/LAWP.2017.2737632Search in Google Scholar

[16] C. Yang and J.-G. Ma, “Direct extraction of complex permittivity and permeability of materials on a known-substrate from transmission/reflection measurements,” IEEE Microw Wireless Compon Lett, vol. 29, no. 10, pp. 693–695, Oct. 2019.10.1109/LMWC.2019.2933350Search in Google Scholar

[17] S. Panda, N. K. Tiwari, and M. J. Akhtar, “Computationally intellegent sensor system for microwave characterization of dielectric sheet,” IEEE Sensors J, vol. 16, no. 20, pp. 7483–7493, Oct. 2016.10.1109/JSEN.2016.2599856Search in Google Scholar

Received: 2019-04-27
Published Online: 2019-11-27
Published in Print: 2020-03-26

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