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Advances in Hybrid Finite Element – Boundary Integral – Multilevel Fast Multipole – Uniform Geometrical Theory of Diffraction Method : Volume 5, Issue 6 (12/06/2007)

By Tzoulis, A.

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Book Id: WPLBN0003975478
Format Type: PDF Article :
File Size: Pages 6
Reproduction Date: 2015

Title: Advances in Hybrid Finite Element – Boundary Integral – Multilevel Fast Multipole – Uniform Geometrical Theory of Diffraction Method : Volume 5, Issue 6 (12/06/2007)  
Author: Tzoulis, A.
Volume: Vol. 5, Issue 6
Language: English
Subject: Science, Advances, Radio
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


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Tzoulis, A., & Eibert, T. F. (2007). Advances in Hybrid Finite Element – Boundary Integral – Multilevel Fast Multipole – Uniform Geometrical Theory of Diffraction Method : Volume 5, Issue 6 (12/06/2007). Retrieved from

Description: FGAN-FHR, Neuenahrer Str. 20, 53343 Wachtberg, Germany. Numerical modeling of problems including composite metallic/dielectric objects with arbitrary shapes and electrically large conducting objects within a common environment is performed in an optimum way with the recently developed powerful hybrid numerical method, which combines the Finite Element Boundary Integral (FEBI) method and the Multilevel Fast Multipole Method (MLFMM) with the Uniform Geometrical Theory of Diffraction (UTD), giving full electromagnetic coupling between all involved objects. In this contribution, the hybrid FEBI-MLFMM-UTD method is extended to double diffracted fields on pairs of straight metallic edges, formulated with the hard and soft scalar diffraction coefficients of UTD. The diffraction points on each pair of edges are determined by an iterative three-dimensional parametric realization of the generalized Fermat's principle. The divergence factor of the double diffracted field is computed by multiplying the appropriate divergence factors of the single diffracted UTD fields on each edge for the particular case. Thereby, the ray caustic distance of the diffracted field at the second edge is determined by linear interpolation between the radii of curvature in the two principal planes of the incident astigmatic ray tube. Further, fast near-field computation in the postprocessing stage of the hybrid method is extended in each translation domain to ray optical contributions due to the presence of electrically large objects, according to the hybridization of MLFMM with UTD. Formulations and numerical results will be presented.

Advances in hybrid finite element – boundary integral – multilevel fast multipole – uniform geometrical theory of diffraction method

Ivrissimtzis,~L. P. and Marhefka,~R. J.: Double diffraction at a coplanar skewed edge configuration, Radio Sci., 26(4), 821–830, 1991.; Capolino,~F., et~al.: Double diffraction at a pair of coplanar skew edges, IEEE Trans. Antennas Propagat., 45(8), 1219–1226, 1997.; Tzoulis,~A. and Eibert,~T. F.: A hybrid FEBI-MLFMM-UTD method for numerical solutions of electromagnetic problems including arbitrarily shaped and electrically large objects, IEEE Trans. Antennas Propagat, 53(10), 3358–3366, 2005.; Kouyoumjian,~R. and Pathak,~P. H.: A uniform geometrical theory of diffraction for an edge in a perfectly conducting surface, Proc. IEEE, 2(11), 1448–1461, 1974.; Tiberio,~R., et~al.: High-frequency electromagnetic scattering of plane waves from double wedges, IEEE Trans. Antennas Propagat., 37(9), 1172–1180, 1989.; Schneider,~M. and Luebbers,~R.: A general, uniform double wedge diffraction coefficient, IEEE Trans. Antennas Propagat., 39(1), 8–14, 1991.; Albani,~M.: A uniform double diffraction coefficient for a pair of wedges in arbitrary configuration, IEEE Trans. Antennas Propagat., 53(2), 702–710, 2005.; Tzoulis,~A. and Eibert,~T. F.: Efficient electromagnetic near-field computation by the multilevel fast multipole method employing mixed near-field/far-field translations, IEEE Antennas Wireless Propag. Lett., 4, 449–452, 2005. %; % vor jede Referenz


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