Random path averaging in multiple-scattering theory

Random path averaging in multiple-scattering theory

A method of path averaging for waves propagating in a random dilute system of identical scatterers is developed. The scattering matrix of such a system is calculated. The method systematically takes into account repeating scatterings on the same scatterer and effects of correlations. Results obtained show the significant influence of new effects on the extinction of a coherent field and are val...

Path Counting and Random Matrix Theory

We establish three identities involving Dyck paths and alternating Motzkin paths, whose proofs are based on variants of the same bijection. We interpret these identities in terms of closed random walks on the halfline. We explain how these identities arise from combinatorial interpretations of certain properties of the β-Hermite and β-Laguerre ensembles of random matrix theory. We conclude by p...

Path ounting and random matrix theory

Self-interaction correction in multiple scattering theory

M. Lüders,1 A. Ernst,2 M. Däne,3,1 Z. Szotek,1 A. Svane,4 D. Ködderitzsch,3,1 W. Hergert,3 B. L. Györffy,5 and W. M. Temmerman1 1Daresbury Laboratory, Daresbury, Warrington, WA4 4AD, United Kingdom 2Max Planck Institut für Mikrostrukturphysik, Weinberg 2, D-06120 Halle, Germany 3Fachbereich Physik, Martin-Luther-Universität Halle-Wittenberg, Friedemann-Bach-Platz 6, D-06099 Halle, Germany 4Inst...

SOUND PROPAGATION IN RANDOM MEDIA. Backscattering correction to the multiple forward scattering theory

The Parabolic Equation Method ( P E M ) is the commonly used method to deal with wave propagation in random media. This method basically requires the small ratio of wave length to correlation length (small angle scattering). Recently, de Wolf/2/ and Rino/3/ extended the PEM by including the backscattered wave, retaining the small angle scattering. In his dissertation, GroBe/4/ generalized the P...