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Modélisation d'antennes et de systèmes focaux par décomposition sur une famille de faisceaux gaussiens

Abstract : In some contexts, conventional methods used for large problems involving radiated or diffracted field computations in the presence of obstacles, such as Physical Optics and ray based methods, become really inaccurate or prohibitively time-consuming. Gabor frame theory provides a rigorous framework for the initial decomposition of equivalent source distributions into a redundant set of Gaussian windows. Frame decomposition has been introduced as a first discretization step into Gaussian Beam Shooting (GBS) algorithms. Until now, frame decomposition has essentially been restricted to planar source distributions, radiating into one half space. The main goal of this thesis is to extend the application range of this theory to radiated or diffracted field decomposition into Gaussian beams propagating into the whole space. The thesis begins with a thorough study of influence of the parameters used for frame coefficient calculation. Numerical implementation is used to test the efficiency of truncation and compression techniques in terms of accuracy / computation time balance optimization. The core of the thesis consists of an original spectral domain partitioning method involving partition of unity functions, which allows to use Gaussian beam shooting from frames defined in six planes, for radiation into the whole three-dimensional space. The formulation of the method is presented and applied to the decomposition of fields radiated by theoretical omnidirectional antennas (dipole array and half-wave dipole) into Gaussian beams. A realistic antenna is used as a test case for the implementation of decompositions based on experimental discrete initial data
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Submitted on : Monday, November 4, 2013 - 6:50:17 PM
Last modification on : Thursday, August 27, 2020 - 3:22:47 AM
Long-term archiving on: : Friday, April 7, 2017 - 8:57:14 PM


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  • HAL Id : tel-00879791, version 1


Igor Francisco Arias Lopez. Modélisation d'antennes et de systèmes focaux par décomposition sur une famille de faisceaux gaussiens. Autre [cs.OH]. Institut National des Télécommunications, 2013. Français. ⟨NNT : 2013TELE0019⟩. ⟨tel-00879791⟩



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