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Macroscopical dielectric permittivities of nonhomogeneous media
Author(s) -
Fokin A. G.
Publication year - 1983
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221190237
Subject(s) - hilbert space , series (stratigraphy) , convergence (economics) , dielectric , space (punctuation) , mathematical analysis , mathematics , physics , computer science , quantum mechanics , paleontology , economics , economic growth , operating system , biology
Based on concepts of the functional analysis and treating the fields E and D as elements of the real vector Hilbert space H , a method is exploited for the calculation of macroscopical permittivities εM of nonhomogeneous media, and bounds within which they acquire their values. Series expansions are obtained for ε M and γ M = ε M –1 , and the convergence conditions are found for the series. Bounds are constructed for ε M , which are contracting with the introduction of additional information on the medium used in the calculation. A comparison with the results of other authors is performed.