A new formulation for the design of Chebyshev arrays

Author

Safaai-Jazi, Ahmad

Author_Institution

Bradley Dept. of Electr. Eng., Virginia Polytech. Inst. & State Univ., Blacksburg, VA, USA

Volume

42

Issue

3

fYear

1994

fDate

3/1/1994 12:00:00 AM

Firstpage

439

Lastpage

443

Abstract

A new formulation for the design of Chebyshev arrays is presented which makes no direct use of Chebyshev polynomials. The array factor is expressed in terms of cosine/cosine-hyperbolic functions based on which all analysis and design steps are carried out. Zeros of the array factor are used to obtain a system of equations for excitation currents. Solving this system of equations, current magnitudes are determined in terms of the current of one element chosen as the independent variable. A general formulation for an even or odd but otherwise arbitrary number of elements is presented. The minimum number of elements required to achieve the desired beamwidth and side lobe level is obtained in a single step without resorting to an iterative process. The optimum spacing between elements for broadside and end fire arrays is also addressed. Numerical results for example cases are provided

Keywords

antenna arrays; antenna radiation patterns; poles and zeros; Chebyshev array; array factor; beamwidth; broadside array; cosine functions; cosine-hyperbolic functions; current magnitudes; design; end fire array; excitation currents; optimum spacing; side lobe level; Antenna radiation patterns; Antennas and propagation; Broadband antennas; Chebyshev approximation; Coaxial components; Dipole antennas; Earth; Equations; Frequency; Polynomials;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.280736

Filename

280736