On a class of optimum aperture distributions for pattern shaping

Author

Rhodes, Donald R.

Author_Institution

North Carolina State University, Raleigh, NC, USA

Volume

20

Issue

3

fYear

1972

fDate

5/1/1972 12:00:00 AM

Firstpage

262

Lastpage

268

Abstract

A class of optimum aperture distributions that gives the best mean-square approximation with weight factor ( $1 - \\eta^{2})^\\alpha$ to any given pattern space factor for an arbitrarily prescribed value of a generalized superdirectivity ratio $\\gamma _{\\alpha }$ is derived for all $\\alpha > -1$ . For $\\alpha = 0$ the parameter $\\gamma _{\\alpha }$ becomes Taylor\´s superdirectivity ratio $\\gamma$ and the $\\gamma _{\\alpha }$ -constrained solution reduces simply to a $\\gamma$ - constrained solution published earlier. But for $\\alpha = -frac{1}{2}, frac{1}{2}$ , or 1 the solution becomes the best, or near best, $Q$ -constrained solution in the sense of least radiated power in the error pattern for the case of $E$ -plane strip source antennas or of $H$ -plane strip or line-source antennas, respectively. Thus, for strip or line source antennas the new solution possesses an important physical interpretation that the earlier solution did not.

Keywords

Aperture antennas; Aerospace engineering; Antenna theory; Antennas and propagation; Aperture antennas; Bandwidth; Reactive power; Upper bound;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.1972.1140189

Filename

1140189