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This paper provides a solution for the design optimization of two-dimensional impedance structures for a given electromagnetic field distribution. These structures must provide electromagnetic compatibility between antennas located on a plane. The optimization problem is solved for a given attenuation of the complete field. Since the design optimization gives a complex law of impedance distribution with a large real part, we employ the method of pointwise synthesis for the optimization of thedoi:10.4236/wet.2011.21001 fatcat:ft7ko6dh4baphgloega7m7tbpu