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Versatile and accurate schemes of discretization in the scattering analysis of 2-D composite objects with penetrable or perfectly conducting regions

Author: Sekulic, I.; Ubeda, E.; Rius, J.

Type of activity: Journal article
Journal: IEEE transactions on antennas and propagation
Date of publication: 2017-05-01
Volume: 65
Number: 5
First page: 2494
Last page: 2506
DOI: https://doi.org/10.1109/TAP.2017.2679064
Project funding: Microwave, Millimeter and Terahertz Reconfigurable Integrated Wireless Antenna Systems for Communications and Sensing (TEC2016-78028-C3-1-P)
Millimeter and submillimeter antenna systems for radar, communications and imaging

Repository: http://hdl.handle.net/2117/107764
URL: http://ieeexplore.ieee.org/document/7873225/
Abstract: The method-of-moment discretization of boundary integral equations in the scattering analysis of closed infinitely long (2-D) objects, perfectly conducting (PEC) or penetrable, is traditionally carried out with continuous piecewise linear basis functions, which embrace pairs of adjacent segments. This is numerically advantageous because the discretization of the transversal component of the scattered fields, electric (TE) or magnetic (TM), becomes free from hypersingular Kernel contributions. In...

The method-of-moment discretization of boundary integral equations in the scattering analysis of closed infinitely long (2-D) objects, perfectly conducting (PEC) or penetrable, is traditionally carried out with continuous piecewise linear basis functions, which embrace pairs of adjacent segments. This is numerically advantageous because the discretization of the transversal component of the scattered fields, electric (TE) or magnetic (TM), becomes free from hypersingular Kernel contributions. In the analysis of composite objects, though, the imposition of the continuity requirement around junction nodes, where the boundaries of several regions intersect, becomes especially awkward. In this paper, we present, for the scattering analysis of composite objects, a new combined discretization of the Poggio–Miller–Chang–Harrington–Wu–Tsai (PMCHWT) integral equation, for homogeneous dielectric regions, and the electric-field integral equation, for PEC regions, such that the basis functions are defined strictly on each segment, with no continuity constraint between adjacent segments. We show the improved observed accuracy with the proposed TE-PMCHWT implementation on several dielectric objects with sharp edges and corners and moderate or high contrasts. Furthermore, we illustrate the versatility of these schemes in the analysis of 2-D composite piecewise homogeneous objects without sacrificing accuracy with respect to the conventional implementations. ©2017 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Citation: Sekulic, I., Ubeda, E., Rius, J. Versatile and accurate schemes of discretization in the scattering analysis of 2-D composite objects with penetrable or perfectly conducting regions. "IEEE transactions on antennas and propagation", 1 Maig 2017, vol. 65, núm. 5, p. 2494-2506.
Keywords: Composite objects, Electric-field integral equation (EFIE), Integral equations, Method of moments (MoM), Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) formulation

Group of research: ANTENNALAB - Antennas and Wireless Systems Laboratory
CommSensLab-UPC - Centre Específic de Recerca en Comunicació i Detecció UPC

Participants

Sekulic, Ivan (author)
Úbeda Farre, Eduard (author)
Rius Casals, Juan-manuel (author)

Attachments

07873225 TAP Versatile discretization 2D composite objects.pdf (894824 bytes)