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Wilkinson unequal power dividers are used for the unequal amount power division for the microwave frequencies. General view is seen in the figure 17.

For the matched divider, generally the lengths of the lines are chosen as wavelength over 4 at operation frequency (or center frequency). Then for the matching property,

 Figure 1.

 , where Z_2in is the impedance seen at the intersection point through port 2 and Z_3in is the impedance seen at the intersection point through port 3. Z_2in and Z_3in are:                  

, and

       Then for the matching property at port 1, Z₀ should be equal to Z_in:

For the design approach, if we assume the power ratio of the output ports (P₃/P₂) is equal to K², from the power division aspect, the impedances of the second arm (which is ended with port 2) should be K²   times the impedances of the other arm, then all of the values of impedances are chosen as:

Frequency dependence comes from the tan(bl) term in the Z_in equations. For reflection coefficient we consider the Z_in seen at port 1 through the network and reflection coefficient:        

Figure 2.  

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