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Compressive Reflector Antennas (CRA )have been shown to provide enhanced imaging capabillities over Traditional Reflector Antennas (TRA) when compressed sensing (CS) techniques are employed. This paper presents a novel method for designing dielectric CRA’s for high sensing capacity imaging applications.In the design procedure, the dielectric constants of scatterers added to a TRA are optimized in order to maximize the capacity and efficiency of the imaging system’s sensing matrix. Numerical results are presented that demonstrate the method’s ability to enhance the CS reconstruction capabilities of the CRA.more » « less