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Rigorous analysis of radiating structures using finite elements and spherical modes expansion

Analyse rigoureuse de structures rayonnantes par éléments finis et décomposition sur modes sphériques

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Abstract

A new rigorous method for analysing radiating structures, using the finite elements method inside a sphere and an expansion of fields in spherical harmonics in the exterior domain, is presented here. The studied structure, represented as a multipole, is entirely described by its scattering matrix at the interfaces. The radiation patterns and input impedances of several types of antennas are presented and compared to the ones obtained from other numerical methods or measurements.

Résumé

Une méthode rigoureuse d’analyse de structures rayonnantes, par la méthode des éléments finis à l’intérieur d’une sphère associée à un développement des champs sur des modes sphériques dans le domaine extérieur, est présentée ici. La structure étudiée, modélisée sous la forme d’un multipôle, est entièrement définie par sa matrice de répartition aux interfaces. Les diagrammes de rayonnement et impédances d’entrée de différentes sortes d’antennes sont présentés et comparés à ceux obtenus par d’autres méthodes numériques ou par mesures.

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o|References

  1. Jin (J.). The finite element method in electromagnetics, John Wiley & Sons New York 1993.

    MATH  Google Scholar 

  2. Delisle (G. Y.), Wu, (K. L.), Litva, (J.). Coupled finite element and boundary element method in electromagnetics, Computer Phys. Commun.,68, pp. 255–278.

  3. Webb (J. P.), Kanellopoulous, (V. N.). Absorbing boundary conditions for the finite element solution of the vector wave equation, Microwave Opt. Tech. Lett.2, pp. 370–372 Oct. 1989.

    Article  Google Scholar 

  4. Mei (K. K.). Unimoment method of solving antenna and scattering problems IEEE Trans. -22, pp. 760–766 Nov. 1974.

    Google Scholar 

  5. Wong (M. F.), Picon, (O.), Fouad Hanna, (V.). Three-dimensional finite element analysis of N-port waveguide junctions using edge-elements, Int. Jour. Microwave and Millimeter-Wave CAE3, no. 442–451 1993.

  6. Stratton (J. R.). Electromagnetic theory, Mc-GrawHill, New York, 1941.

    MATH  Google Scholar 

  7. Hansen (J. E.). Spherical near-field antenna measurements, IEE Electromagnetic waves series 26 London, 1988.

  8. Wong (M. F.), Prak (M.), Fouad Hanna (V.). Axisymmetric edge-based finite element formulation for bodies of revolution: application to dielectric resonators, IEEE Microwave-Symposium MTT-S, Orlando 1995.

  9. Richalot (E.), Wong (M. F.), Fouad Hanna (V.). Analysis of open bodies of revolution using edge elements and spherical modes expansion, in Proc. PIERS 96 p. 426. July 1996.

    Google Scholar 

  10. Brachat (P.). Sectoral pattern synthesis with primary feeds, IEE Trans. AP 42, No. 4 April 1994.

  11. Harrington (R. F.). Time harmonic electromagnetic fields, Mac Graw Hill New York 1975.

    Google Scholar 

  12. Guillouard (K.), Wong (M. F.), Fouad Hanna (V.), Citerne (J.). Etude du couplage electromagnétique entre l’antenne rayonnante d’un portable et un modèle de tête humaine basée sur la méthode des éléments finis mixtes, JINA pp. 317–320 1996.

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Authors and Affiliations

  1. France Télécom CNET/DMR/RMC, 38/40 av. du Général-Leclerc, F 92794 Issy Moulineaux cedex 9, France

    Elodie Richalot, Man-Faï Wong & Victor Fouad Hanna

  2. Laboratoire des instruments et systèmes, Université Paris vie 4, place Jussieu F. 75252 Paris cedex 05, France

    Victor Fouad Hanna

  3. Laboratoire d’Electronique de l’ENSEEIHT, 2 rue C. Camichel, F 31071 Toulouse cedex 7, France

    Henri Baudrand

Authors
  1. Elodie Richalot
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  2. Man-Faï Wong
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  3. Victor Fouad Hanna
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  4. Henri Baudrand
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Richalot, E., Wong, MF., Fouad Hanna, V. et al. Rigorous analysis of radiating structures using finite elements and spherical modes expansion. Ann. Télécommun. 53, 130–138 (1998). https://doi.org/10.1007/BF02998570

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  • DOI: https://doi.org/10.1007/BF02998570

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