标题： 被动成像的数学模型 I：一般背景 显示英文标题

标题： Mathematical models for passive imaging I: general background

摘要： 被动成像是一种已被证明非常有效的新技术，例如在地震学中：不同点之间的噪声场的相关性与波传播的格林函数密切相关。 本文的目的是为这种方法提供一个数学背景，并特别展示如何使用半经典分析的方法来找到相关性的渐近行为。 显示英文摘要

摘要： Passive imaging is a new technics which has been proved to be very efficient, for example in seismology: the correlation of the noisy fields between 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.