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It is demonstrated that nonsingular higher-order hierarchical Legendre basis functions are capable of accounting for the singularities of the electric currents at the edges of the reflectarray elements, thus yielding good convergence properties and very accurate results. In addition, the number of Floquet harmonics needed in the spectral domain method of moments is reduced by using higher-order hierarchical Legendre basis functions as compared to singular basis functions. At the same time, higher-order hierarchical Legendre basis functions can be applied to any arbitrarily shaped array elements, thus providing the flexibility required in the analysis of printed reflectarrays. A comparison to DTU-ESA Facility measurements of a reference offset reflectarray shows that higher-order hierarchical Legendre basis functions produce results of the same accuracy as those obtained using singular basis functions.
Original languageEnglish
JournalI E E E Antennas and Wireless Propagation Letters
Pages (from-to)814-817
StatePublished - 2012

Bibliographical note

Copyright 2012 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.

CitationsWeb of Science® Times Cited: 7


  • Accurate antenna analysis, Basis functions, Floquet harmonics, Method of moments (MoM), Reflectarray
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