microwave hybrid ring desing

i want to design a hybrid ring,
i dont know about the radius of the inner circle of HYBRID RING

some on said find the guided wave length value λg=guided wavelength

for my design a=1.086cm;b=2.286cm;

Parameters for TEmn or TMmn m=1, n=0

* Mode Cutoff Frequency: 6.55714037620297 GHz
* Free-space wavelength: 0.0312283810416667 meters
* Guide wavelength: 0.0427560420041602 meters
any one please tell the radius of the hybrid ring or designing procedure

are you using waveguide or microstrip ( rate race) hybrid ring?

Use ADS for designing, it is easy to design.
you need to calculate lambada g because you need to use this information to calculate length & impedance information.

Permiter of the circle will be equal to 5*λg/4.
( 3*λg/4 + λg/2)
so using this information calculate radius.


Abs

looks like doing with WG because free space to guide length ratio is too small