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# Contribution à l'étude du rayonnement des conducteurs filaires

Abstract : The research presented in this thesis is focused on the modelling of electromagnetic radiation from thin-wire configuration. The radiation assessment is one of the most important issues which strongly requires an accurate modelling. In this work, an analytic approach to evaluate electromagnetic field radiated from thin-wire structure sis proposed. In the first part, we propose an analytical model for calculation of the electromagnetic fields from wire structure derived from the Maxwell equations. This formalism arises from the integral formulation of the magnetic vector potential due to a known current distribution along a wire antenna. The analytical model enables one to readily calculate the fields without requirement of wire structure discretization or involving the propagation effect over the domain of interest. In order to improve the model, we subsequently analyze cases where the current distribution along the conductors is known, either obtained by using the transmission line theory, by numerical simulations based on the antenna theory, or by measurements. On the basis of the known current and its derivative at the ends of a two-wire configuration, obtained by using the transmission line theory, the proposed approach yields an analytical formalism for determination of the radiated electromagnetic field. This analytical formalism is readily extended to multiple wires structures, as well. Once the current distribution is determined by using the antenna theory, the proposed method extracts the corresponding poles and residues by using the Matrix Pencil Method (MPM). In this case, the radiated electromagnetic field is formulated just by few integral terms. The main advantage of the analytical formulation within the framework of the proposal approach is that the method is very suitable for parametric and optimisation studies. This research should be considered as an opener to the subject related to reconstruction of the current distribution by using the Matrix Pencil method (MPM) only based on the current and its first derivative at the wire structure ends. Consequently the radiated electromagnetic field may be subsequently readily calculated by using theproposed analytical model.
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Cited literature [34 references]

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2011CLF22129.pdf
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### Identifiers

• HAL Id : tel-00669531, version 1

### Citation

Mohamed Chaaban. Contribution à l'étude du rayonnement des conducteurs filaires. Autre. Université Blaise Pascal - Clermont-Ferrand II, 2011. Français. ⟨NNT : 2011CLF22129⟩. ⟨tel-00669531⟩

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