Design of waveguide-fed series slot arrays

A design procedure is presented whereby the length and tilt of every slot in a series array can be determined, in the presence of external mutual coupling, in order to provide a specifield pattern and input impedance. The slots are cut in a broadwall of rectangular waveguides, centered but inclined, and resonantly spaced to form linear or planar arrays. The design procedure parallels earlier treatment ot tne longitudinal shunt slot case, and combines Stevenson´s method with a modified form of Booker´s relation to treat non-resonant series slots. Two coupled design equations result, one linking slot voltage and mode current, the other linking active slot impedance to the active impedance in an equivalent dipole array. Simultaneous solution of these design equations is illustrated for the cases of a two by four array, a three by five array, and a five by five array. Experimental results for the two by four array are presented, and validate the theory satisfactorily.