Geometric mesoscopic correlations in quasi-one dimension

Alexey Yamilov

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arXiv · 0706.1335

Geometric mesoscopic correlations in quasi-one dimension

Alexey Yamilov

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Abstract

We study analytically and numerically field/intensity correlations in wave transport through volume-disordered waveguide. The obtained channel and spacial correlations deviate from those found in framework of Dorokhov-Mello-Pereyra-Kumar (DMPK) formalism, that we relate to inapplicability of equivalent channel approximation in DMPK. We show that this can be remedied by introducing boundary correction -- an escape function which depends on the waveguide geometry -- that describes wave transport near a boundary between random medium and free space. We obtain the expressions for field/intensity channel and spacial correlation functions which agree with the numerics and are consistent with the perturbative expressions in slab geometry as well as experiments conducted in Q1D.

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Alexey Yamilov. 2007-06-10. Geometric mesoscopic correlations in quasi-one dimension. https://arxiv.org/abs/0706.1335

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