Complex Permittivity of Chaotic Dielectric Mixtures: A Review

REFERENCES

• Heracleitus, (according to Aristotle, De Caelo 3.1.18)
   Google Scholar
• Charles du Fay, quoted in Leon N Cooper, An Introduction to the Meaning and Structure of Physics, Short Edition, Harper & Row, New York, 1970, p 185.
   Google Scholar
• H C Oersted, Ansichten der Chemischen Naturgesetz, 1812.
   Google Scholar
• J B Marion, A Universe of Physics: A Book of Reading, John Wiley & Sons, New York, 1970.
   Google Scholar
• Benjamin Franklin, Experiments and Observations on Electricity, Made in Philadelphia, 1744–1751.
   Google Scholar
• M Faraday, Faraday's Diary, (Thomas Martin, Ed), G Bell and Sons, vol III, 1932.
   Google Scholar
• J C Maxwell, A Treatise on Electricity and Magnetism, 3rd ed, Oxford Clarendon Press, London 1892.
   Google Scholar
• O I Frankson, H C Oersted—A Man of the Two Cultures, Standbergs Forlag, Birkeoed, 1981.
   Google Scholar
• H Fröhlich, Theory of Dielectrics, Clarendon Oxford, 1949.
   Google Scholar
• H A Lorentz, Ann Phys Lpz, vol 9, 641, 1880.
   Google Scholar
• P Debye, Polar Molecules, Chemical Catelog, 1921, Donor, 1947.
   Google Scholar
• R H Cole, Theories of dielectric polarization and relaxation, in Progress in Dielectrics, Heywood, vol 3, pp 47–1000, 1961.
   Google Scholar
• A R Von Hippel, Dielectric Materials and Applications, MIT Press, Cambridge, Mass 1954.
   Google Scholar
• B Tareev, Physics of Dielectric Materials, MIR Publishers, Moscow, 1979.
   Google Scholar
• P S Neelakantaswamy, What shapes the properties of ESD protective products? Electronic Packaging & Production, vol 29, pp 64–66, 1989.
   Google Scholar
• K R Foster & J L Schepps, Dielectric properties of tumor and normal tissues at radio through microwave frequencies, J Microwave Power, vol 16, pp 107–119, 1981.
   PubMedGoogle Scholar
• J R Wait, Electromagnetic Wave Theory, Harper & Row Publishers, New York, 1985.
   Google Scholar
• Lord Rayleigh, On the influence of obstacles arranged in rectangular order upon the properties of a medium, Phil Mag, vol 34, pp 481–502, 1892.
   Google Scholar
• D A G Bruggeman, Berechnung verschiedener physikalischer konstantan von heterogenen substanzen, Ann Physik, vol 24, pp 636–644, 1935.
   Google Scholar
• G P De Loor, Thesis, University of Leiden, 1956.
   Google Scholar
• G E Archie, The electrical resistivity log as an aid in determining some reservoir characteristics, Trans AIME, vol 146, pp 54–62, 1942.
   Google Scholar
• H Fricke, A mathematical treatment of the electrial conductivity and capacity of disperse systems I, Phys Review, vol 24, pp 575–587, 1924.
   Google Scholar
• H Fricke, A mathematical treatment of the electrical conductivity and capacity of disperse systems II, Phys Review, vol 26, pp 678–681, 1926.
   Google Scholar
• C J F Böttcher, Theory of Electric Polarization, Elsevier, Amsterdam, 1952.
   Google Scholar
• H Looyenga, Dielectric constants of mixtures, Physica, vol 31, pp 401–406, 1965.
   Google Scholar
• L D Landau & E M Lifschitz, Course of Theoretical Physics, Pergamon Press, 1960.
   Google Scholar
• K Lichtenecker, Mischkorpertheori als Wahrscheinlichkeitsproblem, Phys Zeitsch, vol 30, pp 805–809, 1929.
   Google Scholar
• K Lichtenecker & K Rother, Die Herleitung des logarithmischen Mischungegesetzes aus allegemeinen Principien der Stationaren Strömung, Phys Zeitsch, vol 32, pp 255–260, 1938.
   Google Scholar
• I S Zheludev, Solid state physics, Advances in Research and Applications, vol 29, (H Ehrenreich et al, Eds), Academic Press, New York 1974.
   Google Scholar
• O Wiener, Abh Sachs Ges (Akad) Wiss, vol 32, p 509, 1912.
   Google Scholar
• W F Brown Dielectrics in Encyclopedia in Physics V-XVII, Springer Verlag, Berlin, 1956.
   Google Scholar
• L K H van Beek, Dielectric behaviour of heterogeneous systems, in Progress in Dielectrics, (J B Birks, Ed), CRC Press Cleveland, 1987.
   Google Scholar
• Tinga et al, J Appl Phys, vol 44, p 3897, 1973.
   Web of Science ®Google Scholar
• R E Meredith & C W Tobias, Advances Electrical and Electronic Engineering, Wiley Interscience, New York, vol II.2, 1962.
   Google Scholar
• R W Sillars, J Inst Elect Engrs, vol 80, p 378, 1937.
   Google Scholar
• D Polder & J H Van Santen, Physics, vol 12, pp 257–271, 1946.
   Google Scholar
• L Lewin, Proc IEE, vol 94, p 65, 1947.
   Google Scholar
• B V Hamon, Maxwell-Wagner loss and absorption currents in dielectrics, Aust J Phys, vol 6, pp 305–315, 1953.
   Google Scholar
• C Boned & J Peyrelasse, Some comments on the complex permittivity of ellipsoid dispersed in continuum media, J Phys D, Appl Phys, vol 16, pp 1777–1786, 1983.
   Web of Science ®Google Scholar
• P S Neelakantaswamy et al, Estimation of permittivity of a compact crystal by dielectric measurements on its powder: A stochastic mixture model for the powder dielectric, J Phys D vol 17, pp 1755–1799, 1983.
   Google Scholar
• P S Neelakantaswamy et al, A dielectric model of the human blood, Biomed Technik, vol 28, pp 18–22, 1983.
   PubMed Web of Science ®Google Scholar
• J A Reynolds & J M Hough, Formulae for dielectric constant of mixtures, Proc Phys Soc, vol LXX, pp 769–775, 1957.
   Google Scholar
• S S Dukhin & V N Shilov, Dielectric phenomena and the double-layer in disperse systems and polyelectrolytes, John Wiley, New York, 1974.
   Google Scholar
• J F Brown, Progress in Dielectrics, Heywood, London, vol 2 1960
   Google Scholar
• Günther & D Heidrich, Z Physik, vol 185, p 345, 1965.
   Web of Science ®Google Scholar
• S Kisdnasamy & P S Neelakantaswamy, Complex permittivity of a dielcctric mixture, Modified Fricke's formula based on logarithmic law of mixing, Electron Letts, vol 20, pp 291–293, 1984.
   Web of Science ®Google Scholar
• P S Neelakantaswamy et al. Complex permittivity of a dielectric mixture: Corrected version of Lichtenecker's logarithmic law of mixing, Electronic, Letts, vol 21, pp 270–271, 1985.
   Web of Science ®Google Scholar
• S R Wallin, Dielectric properties of heterogeneous media, PhD Thesis, University of Wyoming, 1985
   Google Scholar
• R M Scarisbrick, Electrically conducting mixtures, J Phys D: Appl Phys, vol 6, pp, 1973.
   Web of Science ®Google Scholar
• A Kusy, Chains of conducting particles that determine the resistivity of thick resistive films, Thin Solid Films, vol 43, pp 243–250, 1977.
   Web of Science ®Google Scholar
• R I Frame & D J Tedford, Long-term electrical conduction in films of alkyd resin and graphite mixtures, IEEE Trans Electtrical Insulation, vol EI-21, p 23, Feb 1986.
   Web of Science ®Google Scholar
• D M Grannan et al, Critical behaviour of the dielectric constant of a random composite near the percolation threshold, Physical Review Letts, vol 46, pp 375–378, Feb 1981.
   Web of Science ®Google Scholar
• A P Vinogradov et al, Critical behaviour of the dielectric permittivity of heterogeneous mixtures, Dokl Akad Nauk SSSR 275, 1984, pp 590–592 Sov Phys Dokl, vol 29 (3), March 1984, American Institute of Physics, 1984.
   Google Scholar
• P S Neelakantaswamy & S Kisdnasamy, Electrical conductivity of sintered materials: A random phase model independent of the shape factor, Proc Int AMSE Conf “Modelling and Simulation,” Athens: vol 2.1, pp 69–92, June 1984.
   Google Scholar
• K Lal & R Parshad, Permittivity of conductor—Dielectric heterogeneous mixtures, J Phys D: Appl Phys, vol 6, p 1788, 1973.
   Web of Science ®Google Scholar
• P Sheng, Microstructure and dielectric properties of granular composite films, Optics and Laser Technology, vol 18, pp 253–260, Oct 1981.
   Google Scholar
• S A Paipetis et al. Dielectric properties of metal filled epoxies, Polymer Commun, vol 24, p 373, Dec 1983.
   Web of Science ®Google Scholar
• J Peyrelasse et al. Theoretical study of the static permittivity of conductive components binary mixtures, Phys Review A, vol 30, p 994 Aug 1984.
   Web of Science ®Google Scholar
• A C Garcia et al. On the effect of volume charge distribution on the Maxwell-Wagner relaxation, J Phys D: Appl Phys, vol 18, pp 739–745, 1985.
   Web of Science ®Google Scholar
• L R Egan, Development of a composite material with enhanced electromagnetic provides dissipation characteristics, MSEE Thesis, Rochester Institute of Technology, 1987.
   Google Scholar
• J B Hasted, Agneous dielectrics. Chapman and Hall Ltd., London, 1973.
   Google Scholar
• R Coelho, Physics of dielectrics for the engineer, Elsevier Scientific Publishing Co., New York, 1979.
   Google Scholar