We consider wave propagation in random media in the paraxial regime. We show how to solve the equations for the second- and fourth-order moment of the field in the regime where the correlation length of the medium is smaller than the initial beam width. We quantify the scintillation of the transmitted field and the statistical stability of the Wigner transform. We finally discuss a few applications to correlation-based communication and imaging methods.
@article{SLSEDP_2016-2017____A9_0,
author = {Garnier, Josselin},
title = {High-order statistics for the random paraxial wave equation},
journal = {S\'eminaire Laurent Schwartz {\textemdash} EDP et applications},
note = {talk:9},
pages = {1--14},
publisher = {Institut des hautes \'etudes scientifiques & Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
year = {2016-2017},
doi = {10.5802/slsedp.108},
language = {en},
url = {http://www.numdam.org/articles/10.5802/slsedp.108/}
}
TY - JOUR AU - Garnier, Josselin TI - High-order statistics for the random paraxial wave equation JO - Séminaire Laurent Schwartz — EDP et applications N1 - talk:9 PY - 2016-2017 SP - 1 EP - 14 PB - Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique UR - http://www.numdam.org/articles/10.5802/slsedp.108/ DO - 10.5802/slsedp.108 LA - en ID - SLSEDP_2016-2017____A9_0 ER -
%0 Journal Article %A Garnier, Josselin %T High-order statistics for the random paraxial wave equation %J Séminaire Laurent Schwartz — EDP et applications %Z talk:9 %D 2016-2017 %P 1-14 %I Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique %U http://www.numdam.org/articles/10.5802/slsedp.108/ %R 10.5802/slsedp.108 %G en %F SLSEDP_2016-2017____A9_0
Garnier, Josselin. High-order statistics for the random paraxial wave equation. Séminaire Laurent Schwartz — EDP et applications (2016-2017), Exposé no. 9, 14 p. doi : 10.5802/slsedp.108. http://www.numdam.org/articles/10.5802/slsedp.108/
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