A Hybrid 2-D/3-D multilevel green's function interpolation method for electrically large multilayered problems

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Original languageEnglish
Article number7508926
Pages (from-to)3931-3942
Journal / PublicationIEEE Transactions on Antennas and Propagation
Issue number9
Online published11 Jul 2016
Publication statusPublished - Sep 2016


The multilevel Green's function interpolation method has been implemented to solve the general electrically-large multilayered problems. A new hybrid 2-D and 3-D (H2-D/3-D) multilevel interpolation method and a cross-level translation scheme are devised for the specific problems, from which a quad-tree is constructed. The interpolation of the multilayered medium Green's function using radial basis function is then studied. To further accelerate the computation, a subdomain fast Fourier transform scheme and a sparse approximated inverse preconditioner with a new discarding strategy are also incorporated into the algorithm. As numerical examples, typical microstrip antenna arrays, a metasurface antenna and electromagnetic bandgap integrated antenna arrays are analyzed with the proposed method and excellent performance is observed in both accuracy and efficiency.

Research Area(s)

  • Antenna array, fast Fourier transform (FFT), fast integral equation solver, interpolation of Green's function, multilayered media

Citation Format(s)