Antenna array synthesis using lambda function

This paper presents a new method of synthesis of non-uniformly spaced arrays. Through the use of Chebyshev-Gauss quadrature and the Hankel transform, the space factor of an array and a prescribed radiation pattern can be reduced into the same form in terms of the Lambda function. By equating the coefficients of the Lambda function, the element excitation can be determined directly. The synthesized array approximates the prescribed pattern with a high degree of precision. This is demonstrated by an example in which an array is synthesized to produce the Taylor pattern.