Modified Closed-form Dispersion and Loss Models of Slot-Line with Conductor Thickness
- PDF / 429,380 Bytes
- 17 Pages / 439.37 x 666.142 pts Page_size
- 74 Downloads / 139 Views
Modified Closed-form Dispersion and Loss Models of Slot-Line with Conductor Thickness Payal Majumdar & A. K. Verma
Received: 15 November 2008 / Accepted: 3 November 2009 / Published online: 13 November 2009 # Springer Science + Business Media, LLC 2009
Abstract The CAD oriented closed-form models are presented to compute frequency and conductor thickness dependent effective relative permittivity and characteristic impedance of a slot-line with finite conductor thickness in the range 3 μm–50 μm. The models have average accuracy about 2% against the full-wave results from different sources in thep frequency ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffirange ð"r 1Þ. The 2 GHz–60 GHz, 2:22 "r 20, 0:02 w=h 1:0, 0:01 h=l0 0:25 models to compute the dielectric and conductor losses are also presented that show close agreement with the results of the spectral domain analysis. The average deviations for the dielectric and conductor losses are 0.011 Np/m and 0.143 Np/m against the results of SDA in the frequency range 2 GHz–30 GHz for narrow to wide slot-width. Keywords Slot-line . Losses in slot-line . Conductor thickness dependent slot-line . Dispersive and lossy slot-line
1 Introduction The frequency dependent effective relative permittivity εreff (f), frequency dependent characteristic impedance Z0(f), dielectric loss and conductor loss of a slot are computed by the Spectral Domain Analysis (SDA) and other methods [1–6]. These methods account for the effect of finite conductor thickness on these line parameters. However, the SDA is not suitable for the CAD purpose that is needed for the analysis and synthesis of the slot-line based microwave components. We need closed—form models to determine line parameters of a lossy and dispersive slot-line for the CAD applications. Such closed- form model of a slot-line could be useful in modeling the resonating defected ground structure (DGS) of a microstrip line. The DGS constructed in the ground plane of a microstrip is primarily a slotP. Majumdar (*) : A. K. Verma Microwave Research Laboratory, Department of Electronic Science, University of Delhi, South Campus, New Delhi 110021, India e-mail: [email protected] A. K. Verma e-mail: [email protected]
272
J Infrared Milli Terahz Waves (2010) 31:271–287
line resonator [7]. Three kinds of the closed-form dispersion models for a slot line are suggested by the investigators in the open literature [8–11]. However, none of these models takes into account the effect of finite conductor thickness on the effective relative permittivity and characteristic impedance of a slot-line. Moreover, accuracy of these three kinds of closed-form models is not tested against one common full-wave method. The closed- form model to compute the dielectric and conductor losses of a slot-line is also not available in our knowledge. The first objective of this communication is to compare accuracy of three available closed-form dispersion models of zero conductor thickness against the common SDA results. The second objective is to suggest the empirical models to
Data Loading...
