Closed-form time-domain expressions for the 2D pulsed EM field radiated by an array of slot antennas of finite width

Closed-form time-domain expressions are derived for the pulsed EM field radiated by a planar array of 2D slot antennas of finite width through the use of the Cagniard-DeHoop technique. Each radiating slot is excited by a uniform electric field crossing the aperture and having a prescribed pulse shape. Mutual coupling between the apertures is neglected. With the results, the time-domain beam-steering and beam-shaping properties of the array can be studied. Parameters in this respect are: the collection of pulse shapes and amplitudes of the excitation and the time delays between the excitation of the successive slots. Numerical illustrations are shown.