Time Domain Integral Operator for an Offset Impulse Radiating Antenna

In this work a closed time-domain formulation was developed to analyze offset IRA (Impulse Radiating Antennas) satellite dishes responses. Such antennas present more complex geometry than reflector parabolic antennas fed at the focus. For this reason, the formulation studied here has more extensive expressions. At first, expressions for the field radiated by the offset reflector in the frequency domain were revised. They were obtained by approximations of geometric optics (GO) and the aperture method. Following, the inverse Laplace transform was applied to those expressions, which allowed obtaining radiation expressions in the time domain, which were used to determine a unit step temporal response.