Physical Limitations of Phased Array Antennas
Journal article, 2021
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.
Q factor
current distribution
Antennas
optimization methods
Phased arrays
antenna theory
Current density
Q-factor
Optimization
periodic structures
Energy storage
electromagnetic radiation
Manganese
Floquet expansions
Author
Andrei Osipov
Royal Institute of Technology (KTH)
Jari Matti Hannula
Royal Institute of Technology (KTH)
Patricia Naccachian
American University of Beirut
B. L.G. Jonsson
Royal Institute of Technology (KTH)
IEEE Transactions on Antennas and Propagation
0018926x (ISSN) 15582221 (eISSN)
Vol. In PressSubject Categories
Computational Mathematics
Control Engineering
Discrete Mathematics
DOI
10.1109/TAP.2021.3069485