Answers are grounded in this paper and cite their sources.
Idealized antenna patterns to represent pencil-beam antennas are derived from antenna maximum gains and operating wavelengths. The patterns include analytic expressions describing the principal polarization gain functions for the main beam and and first sidelobe. Higher order sidelobes are expressed in terms of smoothed mean power levels of these sidelobes.
No takes yet. Share an insight, caveat, or question.
Rice et al. (1970) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: