Physical limitations of phased array antennas
Abstract
In this paper, the bounds on the Q-factor, a quantity inversely proportional to bandwidth, are derived and investigated for narrow-band phased array antennas. Arrays in free space and above a ground plane are considered. The Q-factor bound is determined by solving a minimization problem over the electric current density. The support of these current densities is on an element-enclosing region, and the bound holds for lossless antenna elements enclosed in this region. The Q-factor minimization problem is formulated as a quadratically constrained quadratic optimization problem that is solved either by a semi-definite relaxation or an eigenvalue-based method. We illustrate numerically how these bounds can be used to determine trade-off relations between the Q-factor and other design specifications: element form-factor, size, efficiency, scanning capabilities, and polarization purity.
Cite
@article{arxiv.2006.02777,
title = {Physical limitations of phased array antennas},
author = {Andrei Ludvig-Osipov and Jari-Matti Hannula and Patricia Naccachian and B. L. G. Jonsson},
journal= {arXiv preprint arXiv:2006.02777},
year = {2021}
}
Comments
12 pages, 11 figures