Density-of-States Calculations and Multiple-Scattering Theory for Photons

Details Density-of-States Calculations and Multiple-Scattering Theory for Photons Density-of-States Calculations and Multiple-Scattering Theory for Photons

1994-04-18

arxiv.org/abs/cond-mat/9404049v2

Phys. Rev. B51, 2068 (1995)

Physics

Condensed Matter

32 pp., 2 postscript figures included, plain latex, replaced with an extended version which appeared in Phys. Rev. B 51, 2068

Scientific paper

10.1103/PhysRevB.51.2068

The density of states for a finite or an infinite cluster of scatterers in the case of both electrons and photons can be represented in a general form as the sum over all Krein-Friedel contributions of individual scatterers and a contribution due to the presence of multiple scatterers. The latter is given by the sum over all periodic orbits between different scatterers. General three dimensional multiple-scattering theory for electromagnetic waves in the presence of scatterers of arbitrary shape is presented. Vector structure constants are calculated and general rules for obtaining them from known scalar structure constants are given. The analog of the Korringa-Kohn-Rostocker equations for photons is explicitly written down. PACS numbers: 41.20.Jb, 41.20.Bt, 05.40.+j, 05.45.+b

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