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Titolo:
Calculation of the effective dielectric function of composites with periodic geometry
Autore:
Zhang, CX; Yang, BF; Wu, XH; Lu, TQ; Zheng, YS; Su, WH;
Indirizzi:
Jilin Univ, Dept Phys, Grp Solid State Phys, Changchun 130023, Peoples R China Jilin Univ Changchun Peoples R China 130023 chun 130023, Peoples R China Jilin Univ, Ctr Theoret Phys, Changchun 130023, Peoples R China Jilin Univ Changchun Peoples R China 130023 chun 130023, Peoples R China Wuhan Univ, Dept Phys, Wuhan 430072, Peoples R China Wuhan Univ Wuhan Peoples R China 430072 s, Wuhan 430072, Peoples R China Acad Sinica, Int Ctr Mat Phys, Shenyang 110015, Peoples R China Acad Sinica Shenyang Peoples R China 110015 yang 110015, Peoples R China Chinese Ctr Adv Sci & Technol, World Lab, Ctr Condensed Matter & Radiat Phys, Beijing 100080, Peoples R China Chinese Ctr Adv Sci & Technol BeijingPeoples R China 100080 les R China
Titolo Testata:
PHYSICA B
fascicolo: 1-2, volume: 293, anno: 2000,
pagine: 16 - 32
SICI:
0921-4526(200012)293:1-2<16:COTEDF>2.0.ZU;2-X
Fonte:
ISI
Lingua:
ENG
Soggetto:
NONLINEAR SUSCEPTIBILITY; 2-COMPONENT COMPOSITE; TRANSPORT-PROPERTIES; CONSTANT; BOUNDS; CONDUCTIVITY; SPHERES; MEDIA;
Keywords:
dielectric function; composites; periodic geometry; Fourier expansion;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
Citazioni:
24
Recensione:
Indirizzi per estratti:
Indirizzo: Zhang, CX Jilin Univ, Dept Phys, Grp Solid State Phys, Changchun 130023, Peoples R China Jilin Univ Changchun Peoples R China 130023 3, Peoples R China
Citazione:
C.X. Zhang et al., "Calculation of the effective dielectric function of composites with periodic geometry", PHYSICA B, 293(1-2), 2000, pp. 16-32

Abstract

A method for calculating the effective dielectric function of a two-component periodic composite is described. Using a simple Fourier expansion technique, we obtain an explicit power series expression of H(t), which is one of the characteristic geometric functions of the two-component composite proposed by Bergman. The relation between the series of H(t) and that of another characteristic geometric function of composite F(s) is studied. The dielectric function of composite F, Of two kinds of model systems is calculatedby using both H(t) and F(s) for finite-size reciprocal lattice. The deviations of the numerical results of epsilon (e) from the exact ones, which arecaused by the limited size of the reciprocal lattice used, are investigated. It is found that the: accuracies of the numerical results of F(s) differfrom those of H(t). For simple cubic arrays of nonoverlapping spheres, theresults of epsilon (e), obtained from H(t) are closer to the exact ones, especially when the volume fraction of the inclusions is larger and the dielectric contrast of the composite is higher. For 2-D prisms, the averages ofthe results of epsilon (e) obtained from using F(s) and those from H(t) are closer to the exact ones. (C) 2000 Elsevier Science B.V. All rights reserved.

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Documento generato il 01/04/20 alle ore 17:37:58