High accuracy formulas for calculation of the characteristic impedance of microstrip lines (original) (raw)
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Characteristic impedance of a curved microstrip transmission line
Microwave and Optical Technology Letters, 1988
tion widths, and the dependence of the ground capacitances for the trilevel interconnections on the interlevel distances is shown in Figure 5. For the single-level interconnections, the results were compared to those obtained by using the method of moments in conjunction with a Green's function appropriate for the geometry of the interconnections and an excellent agreement was found.
A New Analytical Method to Calculate the Characteristic Impedance Zc of Uniform Transmission Lines
2012
A new analytical method to calculate the characteristic impedance of transmission lines embedded in identical, symmetrical and reciprocal connectors is herein presented. To calculate the characteristic impedance of transmission lines, the proposed method uses S-parameter measurements performed on two uniform transmission lines having the same characteristic impedance and propagation constant but different lengths. The method was successfully applied to characterize microstrip lines printed on an FR4 substrate in the 0.45-4GHz frequency range.
Progress In Electromagnetics Research M
In this paper a recent new quasi-TEM surface impedance approach has been applied to fast characterization of multiconductor microstrip lines in terms of inductance and resistance matrices and conductor losses. Application examples for frequency-dependent parameters of interconnect circuits with up to five conductors (three-, four-, and five-strips) have been reported. The propagation characteristics and attenuation of multimode symmetrical multiconductor system are obtained. The effectiveness of the applied approach is confirmed by comparison of the computed numerical results with those obtained by full-wave simulators. They are found to be in good agreement.
A New Analytical Method to Calculate the Characteristic Impedance ZC
2012
A new analytical method to calculate the characteristic impedance of transmission lines embedded in identical, symmetrical and reciprocal connectors is herein presented. To calculate the characteristic impedance of transmission lines, the proposed method uses S-parameter measurements performed on two uniform transmission lines having the same characteristic impedance and propagation constant but different lengths. The method was successfully applied to characterize microstrip lines printed on an FR4 substrate in the 0.45-4GHz frequency range.
Comparison of approximate formulas for the capacitance of microstrip line
Proceedings 2007 IEEE SoutheastCon, 2007
In the development of CAD routines at rf or microwave frequencies, closed form models for the capacitance per unit length of microstrip interconnects are easily incorporated. Numerous formulas have been proposed based on analytical, numerical, and empirical approaches. When there are a host of formulas found in the literature, knowledge of their accuracy against measured values and a case study of comparison is all the more vital in the design practice. This paper considers 12 such closed form models published over the past four decades and makes a critical comparison and seeks a way of improving the accuracy. While new formulas are proposed that give rise to less % error compared to few others taken as reference, it is found that composite formulas inherit combined goodness from which they are derived. Our case study provides some interesting results.
Full-Wave analysis of microstrip lines with variable thickness substrates using the method of lines
IEICE Electronics Express, 2004
In this paper, we present a full-wave analysis of microstrip lines printed on variable thickness substrates using the method of lines (MoL). The propagation constant of a microstrip line in the interface of one dielectric is computed as a function of different shape characteristics. The results are compared with those obtained in previous research, especially with those using the discrete mode matching technique (DMM). Good agreement is found between the results. Furthermore, the convergence behavior of the method of lines is examined and finally, we show some numerical results, obtained with analyzing this structure in a large band of frequencies.
International Journal of RF and Microwave Computer-Aided Engineering, 2003
mm is inset 19.25 mm from the center of a patch edge. The coaxial aperture has radius 1.75 mm. The resonant frequency, resistance, and reactance were measured as 1.55 GHz, 128.1 ⍀, and 48.6 ⍀, respectively. A circular capacitor patch is added. The probe is now penetrating the radiating patch and is connected to the center of the capacitor patch. The radius of the hole in the radiating patch is 2 mm. The impedance was calculated for a range of structures. Four different antenna elements were fabricated and measured. For the fabricated structures the distance between the patch and the capacitor patch is 3.4 mm. The measured resonant frequency in all cases stayed at 1.55 GHz, as expected. In Figure 3, the resonant impedance is given for several distances d 2 between the radiating and capacitor patch and for capacitor patch diameters ranging from 5 to 35 mm. The agreement is very good for the resistance. A small shift is seen in the reactance. It is probably due to the use of the approximate slot model. It is clearly seen that the inductance of the probe can be canceled out by selecting the configuration with zero inductance and 50 ⍀ resistance. This allows the bandwidth to be broadened considerably. IV. CONCLUSION A network model is given for the calculation of the effect of a top capacitor patch on the impedance of a microstrip antenna. The main advantages of the procedure are that it is a very fast a posteriori procedure, it is easily implemented, and it gives full physical insight. Therefore, it is a very practical tool for antenna designers that want to use the concept of capacitive feeding.