DOI QR코드

DOI QR Code

Theoretical Computation of the Capacitance of an Asymmetric Coplanar Waveguide

  • Song, Chan Mi (School of Electronic and Electrical Engineering, Sungkyunkwan University) ;
  • Kwon, Gina (School of Electronic and Electrical Engineering, Sungkyunkwan University) ;
  • Lee, Jong Min (School of Electronic and Electrical Engineering, Sungkyunkwan University) ;
  • Lee, Kang-Yoon (School of Electronic and Electrical Engineering, Sungkyunkwan University) ;
  • Yang, Youngoo (School of Electronic and Electrical Engineering, Sungkyunkwan University) ;
  • Hwang, Keum Cheol (School of Electronic and Electrical Engineering, Sungkyunkwan University)
  • 투고 : 2016.11.01
  • 심사 : 2017.08.16
  • 발행 : 2018.01.01

초록

An electrostatic boundary-value problem of a dielectric-wedge-backed, double-slotted conducting wedge is investigated to analyze an asymmetric coplanar waveguide with an infinite dielectric thickness using the Mellin transform and a mode-matching method. Our theoretical solution based on eigenfunction expansion and residue calculus is a rigorous and fast-convergent series form. Numerical computations are conducted to evaluate the potential field, capacitance, and characteristic impedance for various structures of the asymmetric coplanar waveguide. The computed results show good agreement with the simulated results.

키워드

E1EEFQ_2018_v13n1_393_f0001.png 이미지

Fig. 1. (a) Asymmetric coplanar waveguide on an infinitelythick dielectric substrate, and (b) analysis model ofa double-slotted conducting wedge with a dielectricwedge

E1EEFQ_2018_v13n1_393_f0002.png 이미지

Fig. 2. (a) Magnitude of the potential on an aperture; (b)computed and (c) simulated equipotential contourof an ACPW when a=1.0 mm, s=1.0 mm, w1=1.0mm, w2=2.0 mm, e1r=e3r =e4r =1.0, and e2r=2.0

E1EEFQ_2018_v13n1_393_f0003.png 이미지

Fig. 3. Normalized per-unit length capacitance of anACPW versus s when a =20.0 mm, w1=1.0 mm,w2=2.0 mm, e1r=e3r =e4r =1.0, and e2r=2.0, 5.0, or10.0

E1EEFQ_2018_v13n1_393_f0004.png 이미지

Fig. 4. Normalized per-unit length capacitance of anACPW versus w2/w1 when a =20.0 mm, s =2.0 mm,e1r=e3r =e4r =1.0, and e2r=2.0, 5.0, or 10.0

E1EEFQ_2018_v13n1_393_f0005.png 이미지

Fig. 5. Characteristic impedance of an ACPW versus swhen a=20.0 mm, w1=1.0 mm, w2=2.0 mm, e1r=e3r=e4r =1.0, and e2r=2.0, 5.0, or 10.0

E1EEFQ_2018_v13n1_393_f0006.png 이미지

Fig. 6. Characteristic impedance of an ACPW versus w2/w1when a=20.0 mm, s=2.0 mm, e1r=e3r =e4r =1.0, ande2r=2.0, 5.0, or 10.0

참고문헌

  1. R. N. Simons, Coplanar waveguide circuits, components, and systems, New York: Wiley, 2001.
  2. V. F. Hanna and D. Thebault, "Analysis of asymmetrical coplanar waveguides," Int. J. Electron., vol. 50, no. 3, pp. 221-224, Feb. 1981. https://doi.org/10.1080/00207218108901250
  3. V. F. Hanna and D. Thebault, "Theoretical and experimental investigation of asymmetric coplanar waveguides," IEEE Trans. Microw. Theory Tech., vol. MTT-32, no. 12, pp. 1649-1651, Dec. 1984.
  4. T. Kitazawa and T. Itoh, "Propagation characteristics of coplanar-type transmission lines with lossy media," IEEE Trans. Microw. Theory Tech., vol. 39, no. 10, pp. 1694-1700, Oct. 1991. https://doi.org/10.1109/22.88540
  5. E. D. Ubeyli and I. Guler, "Multilayer perceptron neural networks to compute quasistatic parameters of asymmetric coplanar waveguides," Neurocomputing, vol. 62, pp. 349-365, Dec. 2004. https://doi.org/10.1016/j.neucom.2004.04.005
  6. C. Yildiz, S. Sagiroglu, and O. Saracoglu, "Neural models for coplanar waveguides with a finite dielectric thickness," Int. J. RF Microw. Comput-Aid. Eng., vol. 13, no. 6, pp. 438-446, Nov. 2003. https://doi.org/10.1002/mmce.10104
  7. C. Peng, S.-J. Fang, and W. En-cheng, "Analysis of characteristic impedance of asymmetric coplanar waveguide using finite-difference time-domain method," IEEE International Symposium on MAPE, Beijing, China, pp. 91-94, Aug. 2005.
  8. A. Khodja, D. Abbou, M. C. E. Yagoub, R. Touhami, and H. Baudrand, "Novel dispersive modal approach for fast analysis of asymmetric coplanar structures on isotropic/anisotropic substrates," J. Electromagn. Waves Appl., vol. 28, no. 12, pp. 1522-1540, Jul. 2014. https://doi.org/10.1080/09205071.2014.932260
  9. G. Kwon and K. C. Hwang, "Capacitance computation of coplanar waveguide using the Mellin transform and mode-matching," IEEE Microw. Wireless Compon. Lett., vol. 22, no. 8, pp. 385-387, Aug. 2012. https://doi.org/10.1109/LMWC.2012.2207709
  10. G. Kwon, K. C. Hwang, Y. Yang, and K.-Y. Lee, "Mellin transform approach for the capacitance computation of asymmetric coplanar striplines," Electromagnetics, vol. 34, no. 8, pp. 617-624, Oct. 2014. https://doi.org/10.1080/02726343.2014.948774
  11. H. J. Eom, "Integral transforms in electromagnetic formulation," J. Electromagn. Eng. Sci., vol. 14, no. 3, pp. 273-277, Sep. 2014. https://doi.org/10.5515/JKIEES.2014.14.3.273
  12. Computer Simulation Technology (CST). EM Studio [Online]. Available: http://www.cst.com