1/11/2024 0 Comments Wilkinson divider smith chartUsing FDTD, we will determine the frequency response of the Wilkinson power divider for Example 7.2 in Pozar where f0=1 GHz, Z0=50 Ω, √2Z0=70.7 Ω, and R=2Z0=100 Ω. Using even- and odd-mode transmission-line analysis, the Wilkinson power divider can be shown to possess the following scattering parameters at the design frequency: S11= 0, S12=S13=-j/√2, S23=S32=0. A shunt resistor (R) of value 2Z0 is symmetrically placed between the output branches to achieve high isolation between the output ports. The above figure presents the layout of the Wilkinson power divider which consists of an input transmission line with a characteristic impedance Z0 that branches into two quarter-wavelength transmission-line sections of characteristic impedance √2Z0 that carry power into the output transmission lines of characteristic impedance Z0. FDTD will be used to obtain the scattering parameters of the device. Although the Wilkinson power divider can be designed to achieve arbitrary power division (e.g., see Pozar ), this example will investigate the equal-split (3dB) case. The Wilkinson power divider is a power divider circuit that achieves isolation between its two output ports when all ports are matched.
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