Generation of cosecant beams from circular arrays

The generation of shaped beams from circular aperture is reported by Chakraborty et al. However there is no data available on the shaped beams from circular arrays. As the circular arrays exist in practice, they are designed to produce shaped beams. A new amplitude distribution is proposed and the concept of energy relations and stationary phase are used to design the optimized phase distribution. Introducing the phase function so obtained the patterns are realized and compared with those of specified. The cosecant beams are generated from small and large circular arrays.