Dictionary-Based Excitation Matching Convex Optimization Model for Designing Subarrayed Feed Array of Beam-Scanning Reflector Antenna

To reduce the required to transmit/receive modules of an array-fed beam-scanning reflector antenna, a dictionary-based excitation matching convex optimization model for designing the subarrayed feed array of the reflector is proposed. To maintain high gain during beam scanning, the excitation matching corresponding to a large number of scanning angles needs to be considered simultaneously, making the model very complicated and almost impossible to solve. To reduce the model's complexity, its constraints dimensions and solution space are reduced by preprocessing the excitation matching error contributed by each selected subarray and taking advantage of topological symmetry. Simulation results are reported to show the effectiveness of the proposed model and the advantages of the designed subarrayed feed array compared with other forms of feed array.