This work considers a time domain inverse acoustic obstacle scattering problem due to passive data. Motivated by the Helmholtz-Kirchhoff identity in the frequency domain, we propose to relate the time domain measurement data in passive imaging to an approximate data set given by the subtraction of two scattered wave fields. We propose a time domain linear sampling method for the approximate data set and show how to tackle the measurement data in passive imaging. An imaging functional is built based on the linear sampling method, which reconstructs the support of the unknown scattering object using directly the time domain measurements. The functional framework is based on the Laplace transform, which relates the mapping properties of Laplace domain factorized operators to their counterparts in the time domain. Numerical examples are provided to illustrate the capability of the proposed method.

Publication:

SIAM JOURNAL ON IMAGING SCIENCES

http://dx.doi.org/10.1137/24M1722286

Author:

Liu, Xiaoli

Beihang Univ, Sch Math Sci, Beijing 100191, Peoples R China

Email address:liu@buaa.edu.cn

Tian, Jialu(corresponding author)

Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China

Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China

Email address:tianjialu@amss.ac.cn

Zhang, Bo

Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China

Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China

Chinese Acad Sci, SKLMS, Beijing 100190, Peoples R China

Email address:b.zhang@amt.ac.cn