OPTIMIZATION AND SYNTHESIS OF ANTENNA ARRAYS.
Abstract
New methods are developed for the optimization and synthesis of antenna arrays. The first part deals with the problem of optimizing the performance of an array in terms of gain, supergain ratio, and sidelobe. For the optimization of the gain, it is proposed to adjust both the excitation and the spacing of the elements. The determination of the optimum excitation, spacing and gain is shown to be an eigenvalue problem and is carried out on a digital computer using the difference calculus and the Newton-Raphson method. For the minimization of the supergain ratio, it is shown that this can also be reduced to an eigenvalue problem. For the reduction of the sidelobes, a new method is developed by which the phase shifts of the elements required for the minimum sidelobe level are determined in one step. In the synthesis part, orthogonal functions including the sinc function, ultraspherical polynomials, Chebyshev polynomials and Legendre polynomials are used to synthesize an array to radiate a prescribed pattern. Another new synthesis method is developed using the Lambda function which is not an orthogonal set. The synthesized array approximates the prescribed pattern with a high degree of precision. Finally, the equivalence between linear and planar arrays is established which enables the extension of the previous work to two-dimensional arrays, in particular, the planar arrays with shaped contour. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1966
- Accession Number
- AD0638034
Entities
People
- Samuel L. Shih
Organizations
- General Electric