On The Theory of Field Pattern Synthesis.(Dept.E)

Abstract

Uniform array synthesis is treated as a problem of approximation in the mean square sense and in the Sobolev sense are considered. Following Tichonov's regularization technique for solving inverse problems , the array excitation current is subjected to a certain constraint in order to make the design less-sensitive to construction errors. A variational formulation of the problem using lagrange multiplier method is presented. The equation determining the excitation current is obtained in a general operator form and is then put in a form amenable to numerical computation. Existence and uniqueness of solution are proved. Some example problems are presented.