A full analytical formulation of the impulse response of the parabolic reflector antenna along its axis

Due to the development of ultra wide band systems or high power microwave weapons, the parabolic reflector antenna operating in pulsed mode remains an interesting case of study. Usually, methods for evaluating the electromagnetic field radiated are performed in the frequency domain and numerous computer codes are available for calculating this field. Then, the time domain behaviour is investigated by means of a Fourier transform. The inconvenience of this approach is that, for the particular case of the parabolic reflector operating in pulsed mode, this leads to a prohibitory CPU time. To cure partially this issue, we propose a full analytical formulation of the impulse response field of such an antenna. The E-field and the H-field formulas are valid along the axis both near and far the reflector. These analytical expressions are based on the Skulkin and Turchin´s work and on physical optics approximation in the time domain. Numerical results are given to illustrate some specific transients effects of such an antenna.