2000
DOI: 10.1103/physrevb.61.962
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Dielectric-constant evaluation from microstructures

Abstract: We present an accurate, efficient algorithm for calculating the effective dielectric constant ¯of periodic two-component composites with arbitrary unit-cell microstructures. The algorithm is based on a formulation of the relevant equations in the Bergman-Milton representation of ¯that enables the use of the fast Fourier transform in their solution, coupled with the sum rules of the geometric spectral function. Our approach accurately reproduces known results, such as the two-dimensional checkerboard problem, a… Show more

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Cited by 23 publications
(13 citation statements)
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“…Among the latter, one finds extensions of the Maxwell-Garnett theory that go beyond dipolar interactions, 29,17 spectral representations, 31,33 or direct derivation of the light dispersion relation. 32 Here, we have used a different method that consists in finding the dielectric function ǫ eff of the equivalent homogeneous medium that has the same reflectance as the crystal surface;…”
Section: 31-34mentioning
confidence: 99%
“…Among the latter, one finds extensions of the Maxwell-Garnett theory that go beyond dipolar interactions, 29,17 spectral representations, 31,33 or direct derivation of the light dispersion relation. 32 Here, we have used a different method that consists in finding the dielectric function ǫ eff of the equivalent homogeneous medium that has the same reflectance as the crystal surface;…”
Section: 31-34mentioning
confidence: 99%
“…and references therein). Data are now available from different lepton-induced reaction experiments [1][2][3][4][5] and many of the theoretical studies [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] also concentrate on those reactions. It should be emphasized that the spin effects in the fragmentation processes can also be studied in polarized hadron-hadron collisions by measuring the properties of the hadrons in high transverse momentum p ⊥ jets created in these reactions [21][22][23].…”
Section: Introductionmentioning
confidence: 99%
“…Recently, Levy and Bergman [131] also used it in their study of nonlinear optical susceptibility. In this regard, Sheng and coworkers [132] developed a practical algorithm for calculating the effective dielectric constants based on the spectral representation. In what follows, we restrict ourselves to a graded composite both in one dimension and three dimensions, and corresponding multilayer composites.…”
Section: Spectral Representation For Understanding the Effective Dielmentioning
confidence: 99%