Semi-classical analysis and passive imaging

TL;DR

This paper provides a mathematical framework using semi-classical analysis to understand the asymptotic behavior of correlations in passive imaging, a technique useful in fields like seismology.

Contribution

It introduces a semi-classical analysis approach to model and analyze the asymptotic behavior of correlations in passive imaging techniques.

Findings

Correlation functions relate closely to Green functions in wave propagation.

Semi-classical analysis reveals the asymptotic behavior of correlations.

Mathematical context enhances understanding of passive imaging methods.

Abstract

Passive imaging is a new technique which has been proved to be very efficient, for example in seismology: the correlation of the noisy fields, computed from the fields recorded at different points, is strongly related to the Green function of the wave propagation. The aim of this paper is to provide a mathematical context for this approach and to show, in particular, how the methods of semi-classical analysis can be be used in order to find the asymptotic behaviour of the correlations.