Journal of Electrical Engineering and Technology

The Korean Institute of Electrical Engineers (대한전기학회)
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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)
  • Received : 2016.11.01
  • Accepted : 2017.08.16
  • Published : 2018.01.01
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Abstract

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.

Keywords

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

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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

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