Localization of Electromagnetic and Acoustic Waves in Random Media. Lattice Models
نویسنده
چکیده
We consider lattice versions of Maxwell's equations and of the equation that governs the propagation of acoustic waves in a random medium. The vector nature of electromagnetic waves is fully taken into account. The medium is assumed to be a small perturbation of a periodic one. We prove rigorously that localized eigenstates arise in a vicinity of the edges of the gaps in the spectrum. A key ingredient is a new Wegner-type estimate for a class of lattice operators with o -diagonal disorder.
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تاریخ انتشار 1994