title: Non-Hermitian Euclidean random matrix theory.
abstract: We develop a theory for the eigenvalue density of arbitrary non-Hermitian Euclidean matrices. Closed equations for the resolvent and the eigenvector correlator are derived. The theory is applied to the random Green's matrix relevant to wave propagation in an ensemble of pointlike scattering centers. This opens a new perspective in the study of wave diffusion, Anderson localization, and random lasing.
authors.affiliation: Université Grenoble 1/CNRS, LPMMC UMR 5493, Maison des Magistères, F-38042 Grenoble, France.
authors.forename: A
authors.initials: A
authors.lastname: Goetschy
authors.forename: S E
authors.initials: SE
authors.lastname: Skipetrov
mesh_terms: D000465:Algorithms; D004058:Diffusion; D005583:Fourier Analysis; D015233:Models, Statistical; D008962:Models, Theoretical; D009068:Movement; D010825:Physics / Q000379:methods*; D011336:Probability; D011789:Quantum Theory