Reconstruction of Equivalent Currents Distribution Over Arbitrary Three-Dimensional Surfaces Based on Integral Equation Algorithms
By Yuri Álvarez, F. Las-Heras, M. R. Pino. IEEE Transactions on Antennas and Propagation, 2007
238 citations recorded by the source corpus.
A technique for the determination of the equivalent currents distribution from a known radiated field is described. This Inverse Radiation Problem is solved through an Integral Equation algorithm that allows the characterization of antennas of complex geometry both for near field to far field (NF-FF) transformation purposes as well as for diagnostic tasks. The algorithm is based on the representation of the radiating structure by means of a set of equivalent currents over a three-dimensional (3D) surface that can be fitted to the arbitrary geometry of the antenna. The innovative formulation uses an integral equation involving the electric field due to the currents tangential components to the represented antenna 3D surface. For that purpose, both the magnetic and electric equivalent currents are considered in the integral equations. Regularization techniques are also introduced to improve the convergence of the proposed iterative solution. The paper concludes with several results related to the practical verification of the Equivalence Principle and the characterization of a horn antenna.
Subfields: Biomedical Engineering, Electrical and Electronic Engineering, Ocean Engineering
View Paper: https://www.semanticscholar.org/paper/a80edfba792ead8e3f8e40465b7e4dfe73df474d
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Citations in the corpus
- Multilevel Fast Multipole Accelerated Inverse Equivalent Current Method Employing Rao–Wilton–Glisson Discretization of Electric and Magnetic Surface Currents (2009, background): “A very general ECM working with triangular surface meshes and nodal surface current expansion functions as well as electric and magnetic surface current densities was presented in [13], where however a fast (low-complexity) evaluation of the integral operators was not employed.”
- Field And Source Equivalence In Source Reconstruction On 3D Surfaces (2010, methodology): “On the algorithmic side, it can be noted that fast factorizations methods for integral equations have a very natural application in source reconstruction and have been exploited recently: [2] presents the acceleration of planar magnetic source reconstruction via the Fast Multipole Method (FMM), whil”