Inward and Outward Integral Equations and the KKR Method for Photons

dc.creatorMoroz, Alexander
dc.date1993-10-18
dc.date1993-11-26
dc.date.accessioned2026-07-07T08:58:47Z
dc.date.available2026-07-07T08:58:47Z
dc.descriptionIn the case of electromagnetic waves it is necessary to distinguish between inward and outward on-shell integral equations. Both kinds of equation are derived. A correct implementation of the photonic KKR method then requires the inward equations and it follows directly from them. A derivation of the KKR method from a variational principle is also outlined. Rather surprisingly, the variational KKR method cannot be entirely written in terms of surface integrals unless permeabilities are piecewise constant. Both kinds of photonic KKR method use the standard structure constants of the electronic KKR method and hence allow for a direct numerical application. As a by-product, matching rules are obtained for derivatives of fields on different sides of the discontinuity of permeabilities. Key words: The Maxwell equations, photonic band gap calculations
dc.description(to appear in J. Phys. : Cond. Matter), Latex 17 pp, PRA-HEP 93/10 (exclusively English and unimportant misprints corrected)
dc.identifierhttps://arxiv.org/abs/cond-mat/9310040
dc.identifierhttp://arxiv.org/abs/cond-mat/9310040
dc.identifierJ. Phys. C : Cond. Matter 6, 171-182 (1994)
dc.identifierdoi:10.1088/0953-8984/6/1/018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/147461
dc.subjectCondensed Matter
dc.titleInward and Outward Integral Equations and the KKR Method for Photons
dc.typetext

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