An efficient computation scheme for the free space green's function of a two-dimensional semiinfinite phased array

C.V.G. Craeye; A.B. Smolders; D.H. Schaubert; A.G. Tijhuis

doi:10.1109/TAP.2003.811056

An efficient computation scheme for the free space green's function of a two-dimensional semiinfinite phased array

C.V.G. Craeye, A.B. Smolders, D.H. Schaubert, A.G. Tijhuis

Electromagnetics

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Abstract

A simple scheme is developed to compute the Green's function of a periodic semiinfinite array in free space. It is based on the spectral representation of the fields radiated by an infinite linear array of dipoles. Results related to successive linear arrays are added in the space domain. This summation can be accelerated tremendously by using an elementary extrapolation technique. The resulting formulation converges everywhere in the plane containing the array, and the number of terms required to achieve a given precision increases slowly away from this plane.

Original language	English
Pages (from-to)	766-771
Number of pages	6
Journal	IEEE Transactions on Antennas and Propagation
Volume	51
Issue number	4
DOIs	https://doi.org/10.1109/TAP.2003.811056
Publication status	Published - 2003

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abstract = "A simple scheme is developed to compute the Green's function of a periodic semiinfinite array in free space. It is based on the spectral representation of the fields radiated by an infinite linear array of dipoles. Results related to successive linear arrays are added in the space domain. This summation can be accelerated tremendously by using an elementary extrapolation technique. The resulting formulation converges everywhere in the plane containing the array, and the number of terms required to achieve a given precision increases slowly away from this plane.",

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AU - Schaubert, D.H.

AU - Tijhuis, A.G.

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AB - A simple scheme is developed to compute the Green's function of a periodic semiinfinite array in free space. It is based on the spectral representation of the fields radiated by an infinite linear array of dipoles. Results related to successive linear arrays are added in the space domain. This summation can be accelerated tremendously by using an elementary extrapolation technique. The resulting formulation converges everywhere in the plane containing the array, and the number of terms required to achieve a given precision increases slowly away from this plane.

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DO - 10.1109/TAP.2003.811056

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JO - IEEE Transactions on Antennas and Propagation

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An efficient computation scheme for the free space green's function of a two-dimensional semiinfinite phased array

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