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International Journal of Antennas and Propagation
Volume 2018, Article ID 3020417, 15 pages
Research Article

Embedding Approach to Modeling Electromagnetic Fields in a Complex Two-Dimensional Environment

1Department of Electrical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, Netherlands
2Department of Information Technology, Ghent University, iGent-Technologiepark-Zwijnaarde 15, 9052 Gent, Belgium
3Aix Marseille University, CNRS, Centrale Marseille, Institut Fresnel, Marseille, France

Correspondence should be addressed to Ann Franchois; eb.tnegu@siohcnarf.nna

Received 31 October 2017; Revised 19 February 2018; Accepted 6 March 2018; Published 10 May 2018

Academic Editor: Paolo Burghignoli

Copyright © 2018 Anton Tijhuis 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.


An approach is presented to combine the response of a two-dimensionally inhomogeneous dielectric object in a homogeneous environment with that of an empty inhomogeneous environment. This allows an efficient computation of the scattering behavior of the dielectric cylinder with the aid of the CGFFT method and a dedicated extrapolation procedure. Since a circular observation contour is adopted, an angular spectral representation can be employed for the embedding. Implementation details are discussed for the case of a closed 434 MHz microwave scanner, and the accuracy and efficiency of all steps in the numerical procedure are investigated. Guidelines are proposed for choosing computational parameters such as truncation limits and tolerances. We show that the embedding approach does not increase the CPU time with respect to the forward problem solution in a homogeneous environment, if only the fields on the observation contour are computed, and that it leads to a relatively small increase when the fields on the mesh are computed as well.