Polarizability analysis of canonical dielectric and bi-anisotropic scatterers

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Doctoral thesis (article-based)
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49, [64]
Electromagnetics Laboratory report series, 414
Solutions for simple, canonical problems are important in electromagnetics, because they can be often utilized in more complicated problems. This thesis consists of analyses of some basic canonical objects and fundamental principles of electromagnetic theory. One of the fundamental objects analyzed in this thesis is an ellipsoid, and especially a layered ellipsoid. Although it is a basic and classical object in electromagnetics, some new properties of the layered ellipsoid can still be found. Very important concept in static electromagnetics is polarizability, which simply is the connection between the incident field and the dipole moment that is induced in an object. The polarizability of a dielectric sphere and ellipsoid is well known and can be calculated with simple formulas, but for a more complicated object the evaluation of the polarizability requires more effort. This thesis presents an analysis of one particular class of objects, namely the Platonic polyhedra. The thesis also describes how inhomogeneous materials can be modelled with mixing formulas, in which the polarizability is a key parameter.
canonical problems, mixing theories, electrostatic polarizability, the Method of Moments, numerical methods in electromagnetics
Other note
  • Avelin J. and Sihvola A., 2002. Internal field of a hollow dielectric ellipsoid: the amplification effect. Journal of Electrostatics 56, No. 1, pages 19-27.
  • Avelin J., Sengör T. and Sihvola A., 2001. Shielding effects of bi-isotropic ellipsoidal shells. Proceedings of the 2001 International Symposium on Electromagnetic Theory (URSI). Victoria, Canada, 13-17 May 2001, pages 276-278.
  • Avelin J. and Sihvola A., 2000. Polarisability analysis of layered bi-anisotropic ellipsoids. Bianisotropics 2000, 8th International Conference on Complex Media. Lisbon, Portugal, 27-29 September 2000, pages 297-300.
  • Avelin J., Sharma R., Hänninen I. and Sihvola A., 2001. Polarizability analysis of cubical and square-shaped dielectric scatterers. IEEE Transactions on Antennas and Propagation 49, No. 3, pages 451-457.
  • Avelin J. and Sihvola A., 2002. Polarizability of polyhedral dielectric scatterers. Microwave and Optical Technology Letters 32, No. 1, pages 60-64.
  • Sihvola A., Ylä-Oijala P., Järvenpää S. and Avelin J., Polarizabilities of Platonic solids. Helsinki University of Technology, Electromagnetics Laboratory, Report 402. IEEE Transactions on Antennas and Propagation, accepted for publication.
  • Avelin J., Nadir Arslan A., Brännback J., Flykt M., Icheln C., Juntunen J., Kärkkäinen K., Niemi T., Nieminen O., Tares T., Toma C., Uusitupa T. and Sihvola A., 1998. Electric fields in the source region: the depolarization dyadic for a cubic cavity. Electrical Engineering 81, No. 4, pages 199-202.
  • Avelin J. and Sihvola A., 1998. Software for enumeration of effective parameters for chiral and bi-anisotropic materials. Bianisotropics '98, 7th International Conference on Complex Media. Braunschweig, Germany, 3-6 June 1998, pages 293-296.
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