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On the Poisson sum formula for the analysis of wave radiation and scattering from large finite arrays
Date
1999-05-01
Author
Aydın Çivi, Hatice Özlem
Chou, HT
Metadata
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Poisson sum formulas have been previously presented and utilized in the literature [1]-[8] for converting a finite element-by-element array field summation into an alternative representation that exhibits improved convergence properties with a view toward more efficiently analyzing wave radiation/scattering from electrically large finite periodic arrays. However, different authors [1]-[6] appear to use two different versions of the Poisson sum formula; one of these explicitly shows the end-point discontinuity effects due to array truncation, whereas the other contains such effects only implicitly. It is shown here, via the sifting property of the Dirac delta function, that first of all, these two versions of the Poisson sum formula are equivalent. Second, the version containing implicit end point contributions has often been applied in an incomplete fashion in the literature to solve finite-array problems; it is also demonstrated here that the latter can lead to some errors in finite-array field computations.
Subject Keywords
Array antennas
,
Poisson sum formula
URI
https://hdl.handle.net/11511/39994
Journal
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION
DOI
https://doi.org/10.1109/8.774163
Collections
Department of Electrical and Electronics Engineering, Article
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H. Ö. Aydın Çivi and H. Chou, “On the Poisson sum formula for the analysis of wave radiation and scattering from large finite arrays,”
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION
, pp. 958–959, 1999, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39994.