Density of States and Extinction Mean Free Path of Waves in Random Media: Dispersion Relations and Sum Rules

2008/10/08 by Rémi Carminati, R. Carminati, M. Donaire +2 · 2 citations
Physics and Astronomy · #Nonlinear Photonic Systems #Photonic Crystals and Applications #Random lasers and scattering media #cond-mat.dis-nn #physics.optics

paper · pdf · doi:10.1103/physrevlett.102.093902

2 (double) figures, 8 pages

arxiv created 2008/10/08 · openalex publication_date 2009/03/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We establish a fundamental relationship between the averaged local density of states and the extinction mean free path of waves propagating in random media. From the principle of causality and the Kramers-Kronig relations, we show that both quantities are connected by dispersion relations and are constrained by a frequency sum rule. The results should be helpful in the analysis of wave transport through complex media and in the design of materials with specific transport properties.

Citations

• Strong localization of photons in certain disordered dielectric superlattices
• Metamaterials and Negative Refractive Index

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