Simplified design and analysis equations are presented for multiple-beam re
flector antennas based on the Gaussian-beam analysis of the primary and sec
ondary patterns. The derived equations are useful for the quick design and
performance analysis in terms of the coverage-area directivity and the inte
r-beam isolation of multiple-beam antenna systems. Results of the analysis
given in this paper agree well with rigorous computations based on physical
-optics analysis of the reflector-antenna radiation patterns. Extension of
the analysis to multiple-beam lens antennas, and to shaped/contoured-beam a
ntennas, is also presented.