Antenna Array Beam Pattern Synthesis Based on Trust Region Method

This paper presents a antenna array pattern synthesis technique based on trust region unconstraint method. An attractive property of these methods lies in their numerical stability and robustness. The Hessian matrix is necessary for traditional trust region algorithms, it lead to very heavy computational load when the number of array elements is very lager. Using Broyden -- Fletcher -- Goldfarb -- Shanno (BFGS) algorithm, the Hessian matrix is approximated. This method gives the advantages of saving the computational time. Using an analytical function, the dynamic range ratio of excitations is taken into account, moreover. As an example, a 30 elements shaped-beam linear array is synthesized. Both amplitudes and phases of an array are optimized at the same time. The results show that it is an effective method.