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