where PT is the total transmit power, PAen(0, Zo> is power density at rectenna boresight on the ground. Using the SPS reference system parameters (/?0 = 36,000 km, X = 0.1225 m, Rt = 500 m, PT = 6.5 x 109 W), the power density at rectenna boresight is calculated to be 26 mW/cm2 for a perfect antenna with no errors. This 26 mW/cm2 is also the peak amplitude of each grating lobe as shown in Fig. 3(c) prior to its multiplication with the subarray pattern. The total power received at the ground as a function of rectenna radius is found by integrating Eq. 19 with respect to and rg. The rectenna power collection efficiency for a uniform illumination satellite antenna may be written where P<jeiivered= power delivered to the ground rectenna and has been evaluated for the SPS system to be 83.8% with a 10 km diameter rectenna. Now consider a 10 dB Gaussian taper for the antenna aperture distribution given by
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