Slot Antenna UHF design

I d like to find the theorectical calculation to design a UHF slot antenna , i found some info only for waveguide slotted antenna , bu im interesting in the coaxial ones .

Like https://www.google.com.br/url?sa=i&r...72921806061437

Normaly used in UHF Tv Broadcasting .

I can simulate it in HFSS but only whit "try and error " technic , so id like to now if anyone has some paper or advise about hor to calculate the slot size and position for a 4 bay 220 degres , for exemple.

Thanks

Lucas