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This letter proposes an optimal difference pattern synthesis with polarization control ability for arbitrary arrays. The joint synthesis of the polarization and spatial power patterns are formulated as a convex optimization form that can be efficiently solved by existing numerical methods. The proposed synthesis method, which has no limitation on the array geometry and element pattern, is flexible and applicable to arbitrary arrays. Two typical examples, the linear arrays for circular polarization synthesis and the cylindrical arrays for elliptical polarization synthesis, are presented to testify the potentiality of the proposed method.