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Experimental Extraction of Effective Permittivity on the Structures of Coplanar Waveguides  

지용 (서강대학교 공과대학 전자공학과)
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Abstract
This paper proposed a very simple method of extracting an effective permittivity from the data of scattering parameters measured on the transmission line of coplanar waveguides in the frequency range of microwave or millimeter waves. This is an extracting method of an effective permittivity $\varepsilon$$_{eff}$ in the case of $\beta$$\ell$ =n$\pi$ (n=integer), where the value of S$_{11}$ changes abruptly following the operating frequency. The experimental value of the effective permittivity $\varepsilon$$_{eff}$ on a dielectric substrate of Rogers 4003$^{TM}$ material of $\varepsilon$$_{r}$ =3.38 showed the value of 2.042, which differs in the error of -3.4% to 8% from those calculated from the previously reported formulae. This result showed that the measurement method was very simple, as well as applied directly to the fabricated circuit patterns, even though the circuit patterns might be complicated or on the substrate of different dielectric materials.s.als.
Keywords
effective permittivity; coplanar waveguide; scattering parameter;
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1 M.-H. Mao, R-B. Wu, C.-H. Chen, and C.-H. Lin, 'Characterization of Coplanar Waveguide Open End Capacitance-Theory and Experiment,' IEEE Trans. Microwave Theory Tech., vol. 42, pp. 1016-1024, June 1994   DOI   ScienceOn
2 A.K. Rayit, Characteristics and Applications of Coplanar Waveguide and its Discontinuities, Ph.D. Dissertation, University of Bradford, UK, 1997
3 K. Chang, I. Bahl, and V. Nair, RF and Microwave Circuit and Component Design for Wireless Systems, John Wiley and Sons, New York, 2002
4 C.P. Wen, 'Coplanar Waveguide; a Surface Strip Transmission Line Suitable for Non Reciprocal Gyromagnetic Device Applications.' IEEE Trans. Microwave Theory Tech., vol. 17, pp. 1087-1090, Oct. 1969   DOI
5 W. Hilberg, 'From Approximation to Exact Relations for Characteristic Impedance,' IEEE Trans. Microwave Theory Tech. vol. 17, pp.259-265, 1969   DOI
6 R E. Collin, Foundations for Microwave Engineering, 2nd ed., McGraw-Hill, New York, 1992
7 B. WadaI, Transmission Line Design Handbook, Artech House, Norwood, MA, 1991
8 T. Edwards, Foundations for Microstrip Circuit Design, 3rd ed., John Wiley & Sons, New York, 2000
9 R. N. Simons, Coplanar Waveguide Circuits, Components, and Systems, John Wiley and Sons, New York, 2001
10 K. C. Gupta, R. Garg, I. Bahi, and P. Bhartia, Microstrip Lines and Slotlines, 2nd ed., Artech House, Norwood, MA, 1996