THE JOURNAL OF KOREAN INSTITUTE OF ELECTROMAGNETIC ENGINEERING AND SCIENCE. vol. 29, no. 10, Oct ,,. 0.5 %.., cm mm FR4 (ε r =4.4)

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1 THE JOURNAL OF KOREAN INSTITUTE OF ELECTROMAGNETIC ENGINEERING AND SCIENCE Oct.; 29(10), ISSN (Print) ISSN X (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 ) ( ) (No. 2015R1A6A1A ). (Department of Electric and Electronic Engineering, Hongik University) Manuscript received April 18, 2018 ; Revised June 25, 2018 ; Accepted October 17, (ID No ) Corresponding Author: Jeong-Hae Lee ( c Copyright The Korean Institute of Electromagnetic Engineering and Science. All Rights Reserved. 799

2 THE JOURNAL OF KOREAN INSTITUTE OF ELECTROMAGNETIC ENGINEERING AND SCIENCE. vol. 29, no. 10, Oct ,,. 0.5 %.., cm mm FR4 (ε r =4.4) 33 GHz, 35 GHz, 38 GHz 6.8 %. 3D cm 2 4 mm FR4 33 GHz, 35 GHz, 38 GHz 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 . (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] cm 2 FR4 (ε r = 4.4, t=1.16 mm), 3(a). 37 mm 50 mm, GHz standard gain horn, 35 GHz dbi db. 35 GHz Fresnel cm. (5) 35 GHz 0.778, (r) cm. 10 cm cm Fresnel zone(=radiated near field). Fresnel zone field,. field, (1) w/o S 21. Fresnel zone., 30 cm, 801

4 THE JOURNAL OF KOREAN INSTITUTE OF ELECTROMAGNETIC ENGINEERING AND SCIENCE. vol. 29, no. 10, Oct ,. 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 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) (b),. 4.4 FR4 6.8 % GHz, FR

5 , 3D RF. References 그림 4. 3D Fig. 4. Measured permitivity results of dielectric metirial fabricated by 3D printer. 4 3D., 3D 4 mm. FR GHz 2 2.3, 2.19, 결론., % 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 , Apr [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 , Jun [3],,, ",", 24(2), pp , [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 , Dec [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 , Aug [6],,,, " W-band,", 24(3), pp , [7] C. A. Balanis, Antenna Theory: Analysis and Design, John Wiley & Sons, pp , , 722, [8] C. A. Balanis, Advanced Engineering Electromagnetics, John Wiley & Sons, pp ,

6 THE JOURNAL OF KOREAN INSTITUTE OF ELECTROMAGNETIC ENGINEERING AND SCIENCE. vol. 29, no. 10, Oct [ / ] : ( ) : ( ) : [ 주관심분야 ], [ / ] : ( ) : ( ) : UCLA ( ) : General Atomics : UCLA Postdoctor : [ 주관심분야 ],, Metamaterial RF, [ / ] : ( ) : [ 주관심분야 ], 804

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