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International Journal of Antennas and Propagation
Volume 2014, Article ID 972584, 6 pages
Research Article

A Hybrid Technique Based on the Combination of Multilevel Fast Multipole Algorithm and the Geometrical Theory of Diffraction

1Newfasant S.L., Avenida Buendia 11, 19005 Guadalajara, Spain
2Deptartment Ciencias de la Computación, Universidad de Alcalá, University of Alcalá, Alcalá de Henares, 28871 Madrid, Spain

Received 28 January 2014; Revised 7 April 2014; Accepted 15 April 2014; Published 2 July 2014

Academic Editor: Vincenzo Galdi

Copyright © 2014 María-Jesús Algar et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper proposes a hybrid technique for treating electromagnetic problems of scattering and radiation in which the source structure is described as an array of antennas. This strategy is based on the combination of the rigorous method multilevel fast multipole algorithm (MLFMA) and the high frequency technique geometrical theory of diffraction (GTD). Thanks to the use of MLFMA, the source can be discretized into several cubic regions considering each of them as a source point in order to reduce the number of times required to compute the ray tracing when GTD is applied to obtain the scatter field. In this analysis, objects with complex shapes are described by using nonuniform rational B-splines (NURBS) which is a very common way to model geometrical bodies. Numerical results that demonstrate the accuracy and efficiency in terms of CPU time are shown.