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In this paper, the capacity of stratospheric cellular communications is improved by optimizing the amplitude feeding of the Concentric Rings Array (CRA). The weighting profile of this array is chosen to be a cosine function raised to some power to control the beam pattern used in the cellular coverage. The power of this function is optimized to reduce the resulted sidelobe levels which increase the Carrier-to-Interference Ratio (CIR) within the cells. It is found that increasing the power of the cosine function will reduce the sidelobe levels especially at lower number of elements in the innermost ring with a minor increase in beamwidth.
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