Optimization of the Antenna Pattern of a Phased Array with Failed Elements

Using a phased array antenna on a system can add dimensions of flexibility and control. By varying the phase and amplitude of the current exciting each element, the far field antenna pattern can be modified in such a way as to obtain a desired, optimal pattern. The purpose of this thesis is to develop a rapid compensation method for any element failures by varying the currents exciting the remaining elements. Although many methods for optimizing the pattern of a full array are available, this work is unique because it develops methods of finding the optimum pattern of an array which contains failed or missing elements. Optimization methods in the literature which were investigated include thinned array analysis, adaptive array analysis, eigenvalue methods, null displacement techniques, and assorted iterative techniques. Another method discussed in this thesis, the direct technique, originated from the need for a quick optimization method, especially when very large arrays are used. (Thesis).