Linear Non-Equidistant Antenna Arrays

Abstract

This chapter is concerned with phased linear antenna arrays. All the elements of a linear array are spaced along a straight line (denote it as X — axis), so that Eq. (5.1) takes the form

$$f(l) = \sum\limits_{j = 1}^k {{c_j}} {\kern 1pt} \exp [2\pi i/\lambda \cdot (l - {l_0}){x_j}],{\kern 1pt} {x_1} = 0,{\kern 1pt} {x_k} = L$$

(6.1)

Given values of L and k, the problem of the construction of such an array comes to the choise of the element coordinates and weights which provide the minimum SL. In view of non-linearity and multi-extremality of this problem, its solution for k > 20 is too complicated, therefore several simplifying suggestions are made.