In microwave wireless power transmission, the end-to-end transmission efficiency is of major concern and should be improved to reduce costs. Toward this end, high beam collection efficiency (BCE) as well as a flat beam pattern is desired. Previous studies have mainly focused on methods aimed at maximizing the BCE alone or only to obtain a flat beam. However, single-objective optimization fails to provide decision makers with enough choices in the tradeoff between BCEs and flat beam patterns. To overcome such a problem, the aperture amplitude distribution is approximated with the Taylor series expansion, and then a multiobjective optimization model is established. Here, the objectives are twofold. The first is to maximize the attainable BCE; and the second is to achieve a flat beam. Afterward, a novel algorithm named multiobjective multiverse optimizer is employed. To investigate the validity of the proposed method, numerical experiments on continuous apertures and array antennas are carried out.
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