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Articles

Dielectric mixtures with arbitrarily anisotropic components: focus on special gyrotropic effects

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Pages 1605-1624 | Published online: 03 Apr 2012

References

  • Lindell , I. V. , Sihvola , A. H. , Tretyakov , S. A. and Viitanen , A. J. 1994 . Electromagnetic Waves in Chiral and Bi-Isotropic Media , Norwood , Massachusetts : Artech House .
  • Kong , J. A. 1972 . Theorems of bianisotropic media . Proceedings of the IEEE , 60 ( No. 9 ) September : 1036 – 1046 .
  • Bergman , D. J. and Stroud , D. 1992 . “ Physical properties of macroscopically inhomogeneous media ” . In Solid State Physics , Edited by: Ehrenreich , H and Turnbull , D. Vol. 46 , Boston : Academic Press .
  • Sihvola , A. and Kong , J. A. 1988 . Effective permittivity of dielectric mixtures . IEEE Trans. on Geoscience and Remote Sensing , 26 ( No. 4 ) : 420 – 429 . Corrections, Vol. 27, No. 1, 101–102, 1989
  • Landauer , R. 1978 . “ Electrical conductivity in inhomogeneous media ” . In American Institute of Physics Conference Proceedings Vol. 40 , 2 – 45 . New York Electrical transport and optical properties of inhomogeneous media, Garland, J. C. and D. B. Tanner, editors
  • Bedeaux , D. and Mazur , P. 1973 . On the critical behaviour of the dielectric constant for a nonpolar fluid . Physica , 67 : 23 – 54 . Lakhtakia, A., "Polarizability dyadics of small bianisotropic spheres," Journal of Physics, France, Vol. 51, 2235–2242, 1990
  • The classical polarizability result is presented in basic textbooks of electrostatics (Böttcher, C. J. F., Theory of Electric Polarization, Elsevier, Amsterdam, 1952), electrodynamics (Jackson, J. D., Classical Electrodynamics, Second Edition, Wiley, New York, 1975), optics (Born, M. and E. Wolf, Principles of Optics, Sixth Edition, Pergamon Press, Oxford, 1980), and solid-state physics (Kittel, C., Introduction to Solid state Physics, Sixth Edition, Wiley, New York
  • Sihvola , A. H. 1994 . Dielectric polarizability of sphere with arbitrary anisotropy . Optics Letters , 19 ( No. 7 ) April : 430 – 432 . 1 See also the Comment by W. Weiglhofer and the Reply by A. Sihvola, ibid., Vol. 19, No. 20, Oct. 15, 1994
  • Lindell , I. V. 1992 . Methods for Electromagnetic Field Analysis , Oxford : Clarendon Press .
  • Reference [14], where the citation concerning the term "vector of the dyadic" is made to Phillips, H. B., Vector Analysis, New York, Wiley, 1933, Section 101
  • Lakhtakia , A. , Varadan , V. K. and Varadan , V. V. 1991 . Low-frequency scattering by an imperfectly conducting sphere immersed in a DC magnetic field . International Journal of Infrared and Millimeter Waves , 12 ( No. 11 ) : 1253 – 1264 . See also, Sihvola, A. H., and I. V. Lindell, "Polarizability of gyrotropic sphere," ibid., Vol. 14, No. 8, 1993
  • Priou , A. , ed. 1992 . “ Dielectric properties of heterogeneous materials ” . In Progress in Electromagnetics Research , New York : Elsevier . PIER 6
  • Sihvola , A. H. 1994 . Anisotropic effective medium theories: random orientation of scatterers . Journal of Electromagnetic Waves and Applications , 8 ( No. 1 ) January : 115 – 128 .
  • Yaghjian , A. 1980 . Electric dyadic Green's functions in the source region . Proceedings of the IEEE , 68 ( No. 2 ) : 248 – 263 .
  • Sihvola , A. 1991 . Lorenz-Lorentz or Lorentz-Lorenz? . IEEE Antennas and Propagation Magazine , 33 ( No. 4 ) August : 56
  • Maxwell-Garnett , J. C. 1904 . “ Colours in metal glasses and metal films ” . In Trans. of the Royal Society Vol. CCIII , 385 – 420 . London
  • Landau , L. D. and Lifshitz , E. M. 1984 . Electrodynamics of Continuous Media , Second Edition , Oxford : Pergamon Press . Section 4
  • Baden Fuller , A. J. 1987 . Ferrites at Microwave Frequencies , IEE Electromagnetic Waves Series, 23 London : Peter Peregrinus .
  • Bohren , C. F. and Huffman , D. R. 1983 . Absorption and Scattering of Light by Small Particles , 325 New York : Wiley .
  • See the Proceedings of the recent workshops on chiral and bianisotropic electromagnetics : Bi-Isotropics'93, (1–4 February 1994, Espoo, Finland), Helsinki University of Technology, Electromagnetics Laboratory, Report 137, February 1993; Bianisotropics'93, (12–14 October 1993, Gomel, Belorussia), ibid., Report 159, December 1993; Chiral'94, (18–20 May 1994, Périgueux, France
  • Tellegen , B. D. F. 1948 . “ The gyrator, a new electric network element ” . In Philips Research Reports Vol. 3, No. 2 , 81 – 101 . O'Dell, T. H., The Electrodynamics of Magneto- Electric Media, Vol. XI, Selected Topics in Solid State Physics, Amsterdam, North- Holland Publishing Co., 1970
  • Sihvola , A. December 1993 . “ Similarities and differences between bi-isotropic and anisotropic electromagnetic quantities ” . In Proc. “Bianisotropics'93”, Helsinki University of Technology, Electromagnetics Laboratory December , 17 – 21 . Report 159

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