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Отправлено: 09.07.08 03:19. Заголовок: Библиография из статьи Sihvola
Subsurface Sensing Technologies and Applications Vol. 1, No. 4, 2000 Mixing Rules with Complex Dielectric Coefficients Ari Sihvola Helsinki University of Technology, Electromagnetics Laboratory, P.O. Box 3000, FIN-02015 HUT, Finland Receiûed March 15, 2000; reûised March 30, 2000 This article discusses the determination of effective dielectric properties of hetereogeneous materials, in particular media with lossy constituents that have complex permittivity parameters. Several different accepted mixing rules are presented and the effects of the structure and internal geometry of the mixture on the effective permittivity are illustrated. Special attention is paid to phenomena that the mixing process causes in the character of the macroscopic dielectric response of the mixture when the losses of one or several of the components are high or when there is a strong dielectric contrast between the component permittivities. =================================================== 1. Mossotti, O.F. 1850, Discussione analitica sull’influenza che l’azione di un mezzo dielettrico ha sulla distribuzione dell’elettricita` alla superficie di piu` corpi elettrici disseminati in esso, Memoire di matematica e di fisica della Societa` Italiana delle scienze, residente in Modena, v. 24, part 2, p. 49–74. 2. Garnett, J.C., Maxwell, 1904, Colours in metal glasses and metal films, Trans. of the Royal Society, v. CCIII, p. 385–420, London. *For dilute mixtures ( f[1), the condition ε iG−2ε e gives this type of ‘‘catastrophe.’’ 3. Hashin, Z. and Shtrikman, S., 1962, A variational approach to the theory of the effective magnetic permeability of multiphase materials, J. of Applied Physics, v. 33, no. 10, p. 3125–3131. 4. Landauer, R., 1978, Electrical conductivity in inhomogeneous media, American Institute of Physics Conference Proc. (Electrical transport and optical properties of inhomogeneous media), no. 40, p. 2–45. 5. Sihvola, A., 1999, Electromagnetic mixing formulas and applications, (Electromagnetic Waves Series, v. 47) The Institution of Electrical Engineers, London. 6. Priou, A., Sihvola, A., Tretyakov, S., and Vinogradov, A., eds., 1997, Advances in Complex Electromagnetic Materials, NATO ASI Series 3. High Technology, v. 28, Kluwer Academic Publishers, Dordrecht. 7. Kreibig, U. and Vollmer, M., 1995, Optical properties of metal clusters, Springer Series in Materials Science, v. 25, Springer, New York. 8. Jackson, J.D., 1999, Classical Electrodynamics, Third Edition, Wiley, New York. 9. Kittel, C., 1986, Introduction to solid state physics. Sixth Edition, Wiley, New York. 10. Yaghjian, A.D., 1980, Electric dyadic Green’s function in the source region, Proc. IEEE, v. 68, no. 2, p. 248–263. 11. Sihvola, A., 1991, ‘‘Lorenz–Lorentz or Lorentz–Lorenz?’’ August, 1991, IEEE Antennas and Propagation Magazine, v. 33, no. 4, p. 56. 12. Landau, L.D. and Lifshitz, E.M., 1984, Electrodynamics of continuous media, Second Edition, Oxford, Pergamon Press, Section 4. 13. Osborn, J.A., 1945, Demagnetizing factors of the general ellipsoid, The Physical Review, v. 67, no. 11–12, p. 351–357. 14. Stoner, E.C., 1945, The demagnetizing factors for ellipsoids, Philosophical Magazine, Ser. 7, vol. 36, no. 263, p. 803–821. 15. Sihvola, A.H. and Lindell, I.V., 1996, Electrostatics of an anisotropic ellipsoid in an aniostropic environment, AEU International Journal of Electronics and Communications, v. 50, no. 5, p. 289–292. 16. Sihvola, A. and Lindell, I.V., 1989, Polarizability and effective permittivity of layered and continuously inhomogeneous dielectric spheres, J. Electromagnetic Waves Applic., v. 3, no. 1, p. 37–60. 17. Sihvola, A. and Lindell, I.V., 1990, Polarizability and effective permittivity of layered and continuously inhomogeneous dielectric ellipsoids, J. Electromagnetic Waves Applic., v. 4, no. 1, p. 1–26. 18. Hasted, J.B., 1973, Aqueous dielectrics, p. 238, Chapman and Hall, London. 19. Lindell, I.V., 1995, Methods for electromagnetic field analysis, IEEE Press and Oxford University Press. 20. Lindell, I.V., Sihvola, A.H., and Suchy, K., 1995, Six-vector formalism in electromagnetics of bi-anisotropic media, J. Electromagnetic Waves Applic., v. 9, no. 78, p. 887–903. 21. Polder, D. and van Santen, J.H., 1946, The effective permeability of mixtures of solids, Physica, v. XII, no. 5, p. 257–271. 22. Bruggeman, D.A.G., 1935, Berechnung verschiedener physikalischer konstanten von heterogenen substanzen, I. Dielektrizita¨tskonstanten und leitfa¨higkeiten der mischko¨rper aus isotropen substanzen, Annalen der Physik, 5. Folge, Band 24, p. 636–664. 23. Bo¨ ttcher, C.J.F., 1952, Theory of electric polarization, Elsevier, Amsterdam. 24. Tsang, L., Kong, J.A., and Shin, R.T., 1985, Theory of microwave remote sensing, Wiley, New York. 25. Sihvola, A., 1989, Self-consistency aspects of dielectric mixing theories, IEEE Trans. Geosci. Remote Sensing, v. 27, no. 4, p. 403–415. Mixing Rules with Complex Dielectric Coefficients 415 26. Birchak, J.R., Gardner, L.G., Hipp, J.W., and Victor, J.M., 1974, High dielectric constant microwave probes for sensing soil moisture, Proceedings of the IEEE, v. 62, no. 1, p. 93–98. 27. Looyenga, H., 1965, Dielectric constants of mixtures, Physica, v. 31, p. 401–406. 28. Ulaby, F.T., Moore, R.K., and Fung, A.K., 1986, Microwave remote sensing—Active and passive, v. III, Artech House, Norwood, Mass. 29. Sen, P.N., Scala, C., and Cohen, M.H., 1981, A self-similar model for sedimentary rocks with application to the dielectric constant of fused glass beads, Geophysics, v. 46, no. 5, p. 781–795. 30. Runge, I., 1925, Zur elektrischer leitfa¨higkeit metallischer aggregate, Zeitschrift fu¨ r technische Physik, 6. Jahrgang, Nr. 2, p. 61–68. 31. Meredith, R.E. and Tobias, C.W., 1960, Resistance to potential flow through a cubical array of spheres, J. Applied Physics, v. 31, no. 7, p. 1270–1273. 32. McPhedran, R.C. and McKenzie, D.R., 1978, The conductivity of lattices of spheres. I. The simple cubic lattice, Proceedings of the Royal Society of London, A, v. 359, p. 45–63. 33. McKenzie, D.R., McPhedran, R.C., and Derrick, G.H., 1978, The conductivity of lattices of spheres. II. The body centred and face centred cubic lattices. Proceedings of the Royal Society of London, A, v. 362, p. 211–232. 34. Doyle, W.T., 1978, The Clausius–Mossotti problem for cubic array of spheres, J. Applied Physics, v. 49, no. 2, p. 795–797. 35. Lam, J., 1986, Magnetic permeability of a simple cubic lattice of conducting magnetic spheres, J. Applied Physics, v. 60, no. 12, p. 4230–4235. 36. Kraszewski, A., Ed., 1996, Microwave aquametry, Chapter 8, IEEE Press, Piscataway, NJ. 37. Kristensson, G., Rikte, S., and Sihvola, A., 1998, Mixing formulas in time domain, J. Optical Society of America A, v. 15, no. 5, p. 1411–1422. 38. Sihvola, A., 2000, Dielectric properties of mixtures with dispersive components. Proceedings of AP2000, (Millennium Conference on Antennas and Propagation), Davos, Switzerland, 9–14 April 2000. ESA SP-444. CD-rom-proceedings: Session 3P7 (4 pages). 39. Bohren, C.F. and Huffman, D.R., 1983, Absorption and scattering of light by small particles, Wiley, New York. 40. Grimmett, G., 1989, Percolation, Springer, New York. 41. Sihvola, A., Saastamoinen, S., and Heiska, K., 1994, Mixing rules and percolation, Remote Sensing Reviews, v. 9, p. 39–50.
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