S2

The problem of the optimal power synthesis of circularly-symmetric continuous aperture sources radiating mask-constrained shaped beams has been solved by LEMMA researchers in [1]. In particular, a necessary and sufficient existence criterion is provided to test a priori (i.e., without solving the overall synthesis problem) whether or not a non-superdirective continuous aperture source of given size can radiate a circularly-symmetric power pattern lying in a given arbitrary mask. In the affirmative case, the proposed approach guarantees the achievement of the globally optimal solution by using fast local-optimization techniques, and a number of equivalent aperture distributions are determined in a straightforward fashion.

1. O. M. Bucci, T. Isernia, and A. F. Morabito, “Optimal synthesis of circularly symmetric shaped beams, ” IEEE Transactions on Antennas and Propagation, vol. 62, no. 4, pp. 1954-1964, 2014. [click here]
2. G. M. Battaglia, A. F. Morabito, R. Palmeri and T. Isernia, “Extending Spectral Factorization to the 2-D Mask-Constrained Power Synthesis of Shaped Beams with Arbitrary Footprints,” 2024 18th European Conference on Antennas and Propagation (EuCAP), Glasgow, United Kingdom, 2024, pp. 1-3. [click here].