Accelerated computation of the free space Green's function of semi-infinite phased arrays of dipoles

In this Communication, we provide an efficient algorithm for the evaluation of the semi-infinite array Green's function (SAGF) for a semi-infinite planar periodic phased array of dipoles in free space. For observation points not too far from the array plane, the algorithm uses a hybrid spectral...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation 2006-03, Vol.54 (3), p.1037-1040
Main Authors: Craeye, C., Capolino, F.
Format: Article
Language:English
Subjects:
Acceleration
Accelerators
Algorithms
Antenna radiation patterns
Antennas
Applied sciences
Arrays
Asymptotic properties
Bandwidth
Broadband antennas
Dipole antennas
Dipoles
Exact sciences and technology
Frequency
Green's function
Green's function methods
Green's functions
Impedance
Loaded antennas
numerical methods
periodic structures
Phased arrays
Planes
Radiocommunications
Telecommunications
Telecommunications and information theory
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Summary:In this Communication, we provide an efficient algorithm for the evaluation of the semi-infinite array Green's function (SAGF) for a semi-infinite planar periodic phased array of dipoles in free space. For observation points not too far from the array plane, the algorithm uses a hybrid spectral-spatial representation of the Green's function accelerated with the Levin T method, that we show to be faster than the Shanks method. For observation points sufficiently far away from the array plane, we show that the SAGF is efficiently evaluated by using asymptotic field expressions. Asymptotics is also used to explain the loss of accuracy of the Levin T accelerator in certain regions, and a correction procedure is proposed to overcome this problem
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2006.869945