Semi-classical analysis and passive imaging

Yves Colin de Verdière (1)

1 IF - Institut Fourier

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.

Mots clés: Green's function; passive imaging; seismology; semi-classics; Egorov Theorem; noise; pseudo-differential operators; Green's function.

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]; Géophysique [physics.geo-ph]; Géophysique [physics.geo-ph]; Equations aux dérivées partielles [math.AP]; Milieux et Changements globaux

Yves Colin de Verdière. Semi-classical analysis and passive imaging. Nonlinearity, 2009, 22, pp.R45-R75. ⟨hal-00264373v3⟩