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Article: Multiple scattering solution for the effective permittivity of a sphere mixture
Title | Multiple scattering solution for the effective permittivity of a sphere mixture |
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Authors | |
Issue Date | 1990 |
Citation | Ieee Transactions On Geoscience And Remote Sensing, 1990, v. 28 n. 2, p. 207-214 How to Cite? |
Abstract | A 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 Identifier | http://hdl.handle.net/10722/182497 |
ISSN | 2015 Impact Factor: 3.36 2015 SCImago Journal Rankings: 1.975 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Chew, Weng Cho | en_US |
dc.contributor.author | Friedrich, James A | en_US |
dc.contributor.author | Geiger, Robert | en_US |
dc.date.accessioned | 2013-05-02T05:15:36Z | - |
dc.date.available | 2013-05-02T05:15:36Z | - |
dc.date.issued | 1990 | en_US |
dc.identifier.citation | Ieee Transactions On Geoscience And Remote Sensing, 1990, v. 28 n. 2, p. 207-214 | en_US |
dc.identifier.issn | 0196-2892 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/182497 | - |
dc.description.abstract | A 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.language | eng | en_US |
dc.relation.ispartof | IEEE Transactions on Geoscience and Remote Sensing | en_US |
dc.title | Multiple scattering solution for the effective permittivity of a sphere mixture | en_US |
dc.type | Article | en_US |
dc.identifier.email | Chew, Weng Cho: wcchew@hku.hk | en_US |
dc.identifier.authority | Chew, Weng Cho=rp00656 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1109/36.46700 | en_US |
dc.identifier.scopus | eid_2-s2.0-0025400219 | en_US |
dc.identifier.volume | 28 | en_US |
dc.identifier.issue | 2 | en_US |
dc.identifier.spage | 207 | en_US |
dc.identifier.epage | 214 | en_US |
dc.identifier.isi | WOS:A1990CN58700007 | - |
dc.publisher.place | United States | en_US |
dc.identifier.scopusauthorid | Chew, Weng Cho=36014436300 | en_US |
dc.identifier.scopusauthorid | Friedrich, James A=7201690574 | en_US |
dc.identifier.scopusauthorid | Geiger, Robert=7103272642 | en_US |