Electricity Cost Minimization Kerwin et al. studied the problem of the synthesis of amplitude distributions at the SPS transmitting antenna with a uniformly polarized field [4]. These amplitude distributions minimize the electricity cost while minimizing sidelobe levels to meet 0.01 mW/cm2 USSR medical standard. Making use of the method described above, it is now possible to include the phase distribution into the optimization process and also optimize the characteristics of MPTS with a radially polarized field at the antennas. The penalty function had the form of (26). The optimal values of the expansion coefficients and antenna radii were found by the Powell method of conjugated directions [11] which requires only the penalty function value to be calculated.
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