THE JOURNAL OF KOREAN INSTITUTE OF ELECTROMAGNETIC ENGINEERING AND SCIENCE. 2018 Oct.; 29(10), 799 804. http://dx.doi.org/10.5515/kjkiees.2018.29.10.799 ISSN 1226-3133 (Print) ISSN 2288-226X (Online) Method for Measuring Dielectric Constant of Planar Dielectric Substrate 이창현 권택선 이정해 Chang-Hyun Lee Taek-Sun Kwon Jeong-Hae Lee 요약. S-parameter,.,. Abstract In this paper, a method for measuring the dielectric constant of a planar dielectric substrate using the free space material constant measurement method in a general measurement environment is proposed. Two horn antennas and a network analyzer were used for S-parameter measurement and the transmission and reflection coefficients of a planar dielectric substrate were calculated from the measurement results. To obtain a reliable dielectric constant in a low-precision-measurement environment, only the magnitude of the transmission coefficient, which has a small error due to the measurement environment, is used for dielectric constant estimation. Finally, the dielectric constant is determined by comparing the measured results at different uencies. Key words: Measuring Dielectric Constant, Planar Substrate, Fresnel Zone, Transmittance, Free Space Transmission. 서론,., 3D [1]. [2], [3], [4] [6]., ICT (IITP-2018-2016-0-00291). 2015 ( ) (No. 2015R1A6A1A03031833). (Department of Electric and Electronic Engineering, Hongik University) Manuscript received April 18, 2018 ; Revised June 25, 2018 ; Accepted October 17, 2018. (ID No. 20180418-050) Corresponding Author: Jeong-Hae Lee (e-mail: jeonglee@hongik.ac.kr) c Copyright The Korean Institute of Electromagnetic Engineering and Science. All Rights Reserved. 799
THE JOURNAL OF KOREAN INSTITUTE OF ELECTROMAGNETIC ENGINEERING AND SCIENCE. vol. 29, no. 10, Oct. 2018.,,. 0.5 %.., 15 15 cm 2 1.16 mm FR4 (ε r =4.4) 33 GHz, 35 GHz, 38 GHz 6.8 %. 3D 15 15 cm 2 4 mm FR4 33 GHz, 35 GHz, 38 GHz 2 2.3.. 측정이론및원리 1. S-parameter Friis [7]. wi S 21 wi S 11 S-parameter, w/o S 11 S-parameter. S-parameter. P, G, β η 0 (1) (2) 그림 1. Fig. 1. Transmission and reflection measurement environment.. T Γ. (1) (2) S-parameter w/o S 21 [7]. w/o S 21 /,, Fresnel, Fresnel zone. 2(a). [8]. (3) (4) 800
. (3), (4) S-parameter (5). 2(b).,...,.,. (t << r).. (a) (a) Vertical incidence (b) (b) Oblique incident 그림 2. Fig. 2. Transmission and reflection of a planar dielectric. (5). 측정결과및분석., diffraction, [7].. 3 15 15 cm 2 FR4 (ε r = 4.4, t=1.16 mm), 3(a). 37 mm 50 mm, 33 50.1 GHz standard gain horn, 35 GHz 23.87 dbi 11.7 3 db. 35 GHz Fresnel 10.39 90.2 cm. (5) 35 GHz 0.778, (r) 20 30 cm. 10 cm. 20 30 cm Fresnel zone(=radiated near field). Fresnel zone field,. field, (1) w/o S 21. Fresnel zone., 30 cm, 801
THE JOURNAL OF KOREAN INSTITUTE OF ELECTROMAGNETIC ENGINEERING AND SCIENCE. vol. 29, no. 10, Oct. 2018..,. 3., 3. (6) (a) (a) Distance (b) (b) Frequency 그림 3. FR4(ε r =4.4, t=1.16 mm) Fig. 3. Measured permittivity results of FR4 at various. 15 15 cm 2 20 db. diffraction 20 db. 3(b) FR4., e r = E 33GHz E 35GHz E 38GHz (7) T cal (5) 3(b), T mea 3(b). E (5). 3(b), T cal T mea. 33 GHz, 35GHz, 38 GHz, (7). 3 3. 3(b),. 4.4 FR4 6.8 % 33 38 GHz, FR4 4.1 4.7. 802
, 3D RF. References 그림 4. 3D Fig. 4. Measured permitivity results of dielectric metirial fabricated by 3D printer. 4 3D., 3D 4 mm. FR4 33 38 GHz 2 2.3, 2.19, 0.01.. 결론., 2 6 7 % 0.01.,, [1] M. Kong, G. Shin, S. H. Lee, and I. J. Yoon, "Investigation of 3D printed electrically small folded spherical meander wire antenna," Journal of Electromagnetic Engineering and Science, vol. 17, no. 4, pp. 228-232, Apr. 2017. [2] A. V. Vykhodtsev, B. Kordi, and D. R. Oliver, "Sensitivity analysis of a parallel-plate method for measuring the dielectric permittivity of high-voltage insulating materials," High Voltage, vol. 2, no. 3, pp. 200-204, Jun. 2017. [3],,, ",", 24(2), pp. 214-217, 2013 2. [4] D. Li, Z. Szabo, X. Qing, E. P. Li, and Z. N. Chen, "A high gain antenna with an optimized metamaterial inspired superstrate," IEEE Transactions on Antennas and Propagation, vol. 60, no. 12, pp. 6018-6023, Dec. 2012. [5] D. R. Reid, G. S. Smith, "A full electromagnetic analysis of grooved-dielectric Fresnel zone plate antennas for microwave and millimeter-wave applications," IEEE Transactions on Antennas and Propagation, vol. 55, no. 8, pp. 2138-2146, Aug. 2007. [6],,,, " W-band,", 24(3), pp. 253-258, 2013 3. [7] C. A. Balanis, Antenna Theory: Analysis and Design, John Wiley & Sons, pp. 94-96, 156-158, 722, 2016. [8] C. A. Balanis, Advanced Engineering Electromagnetics, John Wiley & Sons, pp. 205-209, 2012. 803
THE JOURNAL OF KOREAN INSTITUTE OF ELECTROMAGNETIC ENGINEERING AND SCIENCE. vol. 29, no. 10, Oct. 2018. [ / ] 2013 2 : ( ) 2015 2 : ( ) 2015 3 : [ 주관심분야 ], [ / ] 1985 2 : ( ) 1988 2 : ( ) 1996 3 : UCLA ( ) 1993 3 1996 3 : General Atomics 1996 3 1996 8 : UCLA Postdoctor 1996 9 : [ 주관심분야 ],, Metamaterial RF, [ / ] 2017 2 : ( ) 2017 3 : [ 주관심분야 ], 804