Microwave radio relay systems frequently employ periscope, an-tennas to avoid long cable runs to tower-mounted antennas. Early periscope antennas used flat reflector plates, while modern systems employ curved reflectors which, in effect, focus the incident energy to achieve additional gain. Analyses of the flat and paraboloidally curved reflectors are available in the technical literature, but the latter analysis does not incorporate a model of curvature which is optimum for certain ranges of the antenna system parameters. The analysis presented here develops a criterion for optimum curvature of the reflector. The resulting optimum gain is computed and seen to be equal to or greater than that available from the comparable flat or paraboloidal reflector. Typical wavefronts at the reflector are also computed and presented as aids in determining the optimum curvature required.
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