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Effective permittivity of dielectric mixturesGeneral mixing formulas are derived for discrete scatterers immersed in a host medium. The inclusion particles are assumed to be ellipsoidal. The electric field inside the scatterers is determined by quasi-static analysis, assuming the diameter of the inclusion particles to be much smaller than one wavelength. The results are applicable to general multiphase mixtures, and the scattering ellipsoids of the different phases can have different sizes and arbitrary ellipticity distribution and axis orientation, i.e., the mixture may be isotropic or anisotropic. The resulting mixing formula is nonlinear and is suitable for iterative solutions. The formula contains a quantity called the apparent permittivity, and with different choices of this quantity, the result leads to the generalized Lorentz-Lorenz formula, the generalized Polder-van Santen formula, and the generalized coherent potential-quasicrystalline approximation formula. The results are applied to calculating the complex effective permittivity of dry and wet snow, and sea ice.
Document ID
19880060210
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Sihvola, Ari H.
(Massachusetts Inst. of Tech. Cambridge, MA, United States)
Kong, Jin AU
(MIT Cambridge, MA, United States)
Date Acquired
August 13, 2013
Publication Date
July 1, 1988
Publication Information
Publication: IEEE Transactions on Geoscience and Remote Sensing
Volume: 26
ISSN: 0196-2892
Subject Category
Physics (General)
Accession Number
88A47437
Funding Number(s)
CONTRACT_GRANT: NAG5-270
CONTRACT_GRANT: N00014-83-K-0528
CONTRACT_GRANT: NSF ECS-85-04381
Distribution Limits
Public
Copyright
Other

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