Take resonator A for example, the
input admittance of resonator A is given by:
The
input admittance [Y.sub.d] and input impedance [Z.sub.d] are
In the even-mode case, with ideal open-circuited terminals at four ends in Figure 4(a), the odd-mode
input admittance can be derived with the superscript "e" as the following:
The complete synthesis SPICE-compatible equivalent circuit for the
input admittance of an antenna can provide either two real poles or one complex pair which can be modeled as presented in Figure 11 (a pole of order N = 1 is called a simple pole).
3(b), the even-mode
input admittance [Y.sub.even] is written as
The
input admittance at the radiating edge can be found by adding the slot admittance to the admittance of the second slot by transforming it across the length of the patch using the transmission line equation and it is given by:
The
input admittance of lossless microstrip line segment with the open end has complex value
Similarly, the
input admittance of shunt-series LC in Fig.
From the mechanism of the resonator resonance, the structure is resonant when its source and load
input admittance is zero for both even and odd modes, i.e.,
The resulting
input admittance for odd-mode is given by
The length L is designed to be slightly less than a half-wavelength at the design frequency, so that the
input admittance is given by [Y.sub.1] = G-j[B.sub.c].
For the two order BPF as shown in Figure 2(a), the
input admittance seen from port 3 and port 4 can be defined as