A computationally efficient method for the multi-objective optimization of shaped offset Gregorian reflector systems is presented. The method uses space mapping to construct a fast surrogate model of the responses of interest - aperture efficiency and side lobe level. The Pareto front of the surrogate is found, and the model iteratively re-aligned along the front. Ideal Gaussian feeds are used, and when the reflector system is large enough the Pareto front is found with only 19 simulations of the system when two input parameters are used.
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