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

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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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Citation Formats

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.