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Article: Multiple scattering solution for the effective permittivity of a sphere mixture

TitleMultiple scattering solution for the effective permittivity of a sphere mixture
Authors
Issue Date1990
Citation
Ieee Transactions On Geoscience And Remote Sensing, 1990, v. 28 n. 2, p. 207-214 How to Cite?
AbstractA recursive algorithm for calculating the exact solution of a random assortment of spheres is described. In this algorithm, the scattering from a single sphere is expressed in a one-sphere T matrix. The scattering from two spheres is expressed in terms of two-sphere T matrices, which are related to the one-sphere T matrix. A recursive algorithm to deduce the (n + 1)-sphere T matrix from the n-sphere T matrix is derived. With this recursive algorithm, the multiple scattering from a random assortment of N spheres can be obtained. This results in an N2 algorithm rather than the normal N3 algorithm. As an example, the algorithm is used to calculate the low-frequency effective permittivity of a random assortment of 18 dielectric spheres. The effective permittivity deviates from the Maxwell-Garnett result for high contrast and high packing fraction. With a high packing fraction, dielectric enhancement at low frequency is possible.
Persistent Identifierhttp://hdl.handle.net/10722/182497
ISSN
2015 Impact Factor: 3.36
2015 SCImago Journal Rankings: 1.975
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorChew, Weng Choen_US
dc.contributor.authorFriedrich, James Aen_US
dc.contributor.authorGeiger, Roberten_US
dc.date.accessioned2013-05-02T05:15:36Z-
dc.date.available2013-05-02T05:15:36Z-
dc.date.issued1990en_US
dc.identifier.citationIeee Transactions On Geoscience And Remote Sensing, 1990, v. 28 n. 2, p. 207-214en_US
dc.identifier.issn0196-2892en_US
dc.identifier.urihttp://hdl.handle.net/10722/182497-
dc.description.abstractA recursive algorithm for calculating the exact solution of a random assortment of spheres is described. In this algorithm, the scattering from a single sphere is expressed in a one-sphere T matrix. The scattering from two spheres is expressed in terms of two-sphere T matrices, which are related to the one-sphere T matrix. A recursive algorithm to deduce the (n + 1)-sphere T matrix from the n-sphere T matrix is derived. With this recursive algorithm, the multiple scattering from a random assortment of N spheres can be obtained. This results in an N2 algorithm rather than the normal N3 algorithm. As an example, the algorithm is used to calculate the low-frequency effective permittivity of a random assortment of 18 dielectric spheres. The effective permittivity deviates from the Maxwell-Garnett result for high contrast and high packing fraction. With a high packing fraction, dielectric enhancement at low frequency is possible.en_US
dc.languageengen_US
dc.relation.ispartofIEEE Transactions on Geoscience and Remote Sensingen_US
dc.titleMultiple scattering solution for the effective permittivity of a sphere mixtureen_US
dc.typeArticleen_US
dc.identifier.emailChew, Weng Cho: wcchew@hku.hken_US
dc.identifier.authorityChew, Weng Cho=rp00656en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1109/36.46700en_US
dc.identifier.scopuseid_2-s2.0-0025400219en_US
dc.identifier.volume28en_US
dc.identifier.issue2en_US
dc.identifier.spage207en_US
dc.identifier.epage214en_US
dc.identifier.isiWOS:A1990CN58700007-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridChew, Weng Cho=36014436300en_US
dc.identifier.scopusauthoridFriedrich, James A=7201690574en_US
dc.identifier.scopusauthoridGeiger, Robert=7103272642en_US

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