A new method to design a cosecant squared radiation pattern in a shaped reflector antenna is proposed. Surface of the proposed reflector antenna is expanded by modified Jacobi polynomials. The expansion coefficients are optimized by using particle swarm optimization (PSO) algorithm to achieve desired cosecant squared radiation pattern in elevation plane and a narrow pencil beam radiation pattern in azimuth plane. The antenna is analyzed by physical optics (PO) method.
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