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In this report, we present the phased array feed (PAF) model equations fortwo definitions of embedded beam patterns. In Roshi \& Fisher (2016), wepresented the PAF model by defining the embedded beam pattern as the beampattern due to a 1 V excitation to one port and all other ports shortcircuited. This embedded beam pattern is referred to as voltage-embedded-beam(VEB). The embedded beam pattern can also be defined as the beam pattern due toa 1 A excitation to one port and all other ports open circuited. Thisdefinition is usually used in engineering literature and we refer to thepattern as current-embedded-beam (CEB). Here we derive the relationship betweenthe two embedded beam patterns and present the corresponding model equations.

Phased Array Feed Model Equations corresponding to two definitions of embedded beam pattern