Modelling the radiation pattern of a dual circular polarization system

We present the electromagnetic model of a dual circular polarization antenna-feed system, consisting of a corrugated feedhorn, a polarizer and an orthomode transducer. This model was developed for the passive front-end implemented in the Q-band receivers of the STRIP instrument of the Large Scale Polarization Explorer experiment. Its applicability, however, is completely general. The model has been implemented by superposing the response of two linearly polarized feedhorns with a $\pi$/2 phase difference, thus taking into account for the effect of the polarizer, that behaves differently for the two polarizations of the incoming electric field. The model has been verified by means of radiation pattern measurements performed in the anechoic chamber at the Physics Department of the University of Milan. We measured both arms of the orthomode transducer, in order to check that the diagram at one port is the 90_ rotation of the diagram at the other port. Simulations and measurements show an agreement at the level of fraction of a dB up to the first sidelobes, thus confirming the model.