An expression for the radiation pattern of a lens-corrected conical scalar horn is derived. Computed radiation patterns are presented for scalar-horns feeds containing planoconvex and meniscus lenses in their apertures. The patterns and beamwidths are compared with those of an uncorrected wide-angle scalar horn and an open-ended corrugated waveguide.
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Clarricoats et al. (1969) studied this question.