On the Theory of Field Pattern Synthesis.

Mandour, I.; El-Mikati, Hamdi Ahmed Ahmed; El-Sohly, A.

doi:10.21608/bfemu.2021.182743

On the Theory of Field Pattern Synthesis.

Document Type : Research Studies

Authors

¹ Professor of Electrical Engineering Department., Faculty of Engineering., Alexandria University.

² Assistant Professor., Electrical Engineering Department., Faculty of Engineering., El-Mansoura University., Mansoura., Egypt.

³ State Air Force.

10.21608/bfemu.2021.182743

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.

Main Subjects