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Syed A. Ahson and Mohammad Ilyas

"RFID Handbook: Applications, Technology, Security, and Privacy"

20.
Far-Field Tag Antenna Design Methodology 81
FIGURE 4.17
A bow-tie antenna with the height hB and ?¬‚are angle a.
Vs
+
_ hB
Top plate
Flare angle a
Bottom plate
FIGURE 4.18
A three-parameter equivalent circuit model for a bow-tie antenna.
+
_
Vs
RBr
LB CB
FIGURE 4.19
Field con?¬?guration around a bow-tie antenna used for the calculation
of its self-capacitance.
82 RFID Handbook: Applications, Technology, Security, and Privacy
The model parameters outlined in Figure 4.18 will vary for different ?¬‚are angles and
heights of the bow-tie antenna, as is the case for a wedge above a ground plane antenna.
However, within the range of validity of the equivalent circuit, which depends on the
dimensions of the structure in relation to a wavelength, the radiation resistance, the
capacitance, and the inductance can be expected to scale up with increasing height for a
speci?¬?c ?¬‚are angle. The radiation resistance, the capacitance, and the inductance variation
for a bow-tie antenna can be summarized by the general expressions provided in Table 4.5,
where the height hB refers to the height of the bow-tie antennas as depicted in Figure 4.17.
In Table 4.5 the constants KBC and KBL are dimensionless quantities, whereas KBR is
measured in ohm. Table 4.5 is a summary of the parameters obtained for a bow-tie antenna
using the relationship between a bow-tie antenna and a wedge above a ground plane
antenna, using image theory based on the results from Brown and Woodward (1952), and
using our own experiments.


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