A hybrid spectral/spatial method to evaluate the active Green's function of large planar rectangular arrays: a combined asymptotic/numerical algorithm

The article illustrates a formulation to evaluate the array Green's function (AGF) of large finite planar phased array for observation points on the array plane, possibly close to the array contour. The procedure is based on the AGF representation in terms of a double spectral integral, whose i...

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Bibliographic Details
Published inIEEE transactions on antennas and propagation Vol. 54; no. 3; pp. 878 - 887
Main Authors Mariottini, F., Cucini, A., Maci, S.
Format Journal Article
LanguageEnglish
Published New York, NY IEEE 01.03.2006
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Algorithms
Antenna arrays
Antennas
Applied sciences
Arrays
Asymptotic properties
Attenuation
Boundary conditions
Convergence of numerical methods
Diffraction
Discrete Fourier transforms
Exact sciences and technology
Green functions
Green's function methods
Green's functions
Integral equations
Integrals
Mathematical models
Nonhomogeneous media
Numerical analysis
Periodic structures
Phased arrays
Radiocommunications
Spectra
Telecommunications
Telecommunications and information theory
Spectral method
periodic structures
Path integral
Green functions
Planar antenna arrays
Phased array antenna
Algorithm
Antenna array
Green function
Periodic structure
Antenna arrays
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ISSN0018-926X
1558-2221
DOI10.1109/TAP.2006.869903

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Summary:The article illustrates a formulation to evaluate the array Green's function (AGF) of large finite planar phased array for observation points on the array plane, possibly close to the array contour. The procedure is based on the AGF representation in terms of a double spectral integral, whose integration paths are properly deformed to have an exponential attenuation of the integrand. The diffraction integral is evaluated numerically for point close to the array edges while an asymptotic treatment is proposed far from the edges. This latter comprises higher order contributions. Thanks to the convergence properties, the final algorithm is numerically accurate, stable and more efficient with respect to the individual element summation for large arrays. It also constitutes the basic step for the efficient evaluation of the AGF of a multilayer environment
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ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2006.869903