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

Abstract

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

32 pp., 2 postscript figures included, plain latex, replaced with an extended version which appeared in Phys. Rev. B 51, 2068 (1995)

References in corpus (2)

• A Fredholm Determinant for Semi-classical Quantization
• Inward and Outward Integral Equations and the KKR Method for Photons

Cited by in corpus (16)

• Metallo-dielectric diamond and zinc-blende photonic crystals
• Photonic Band Gaps of Three-Dimensional Face-Centered Cubic Lattices
• Quantum Mechanics and Semiclassics of Hyperbolic n-Disk Scattering Systems
• Photonic crystals of coated metallic spheres
• Quasi-periodic Green's functions of the Helmholtz and Laplace equations
• Photonic band mixing in linear chains of optically coupled micro-spheres
• The Single-Particle density of States, Bound States, Phase-Shift Flip, and a Resonance in the Presence of an Aharonov-Bohm Potential
• Resonant three-dimensional photonic crystals
• Remarkable Predictive Power of the Modified Long Wavelength Approximation
• Surrogate- and invariance-boosted contrastive learning for data-scarce applications in science
• Resonance-Induced Effects in Photonic Crystals
• A direct link between the quantum-mechanical and semiclassical determination of scattering resonances
• Inverse dispersion method for calculation of complex photonic band diagram and $\mathcal{P}\mathcal{T}$-symmetry
• The Aharonov-Casher Theorem and the Axial Anomaly in the Aharonov-Bohm Potential
• Multiple scattering model of the quantum random Lorentz gas
• A simple formula for the L-gap width of a face-centered-cubic photonic crystal