In the reconstruction process of sound waves in a 3D stratified waveguide, a key technique is to effectively reduce the huge computational demand. In this work, we propose an efficient and simple multilevel reconstruction method to help locate the accurate position of a point source in a stratified ocean. The proposed method can be viewed as a direct sampling method since no solutions of optimizations or linear systems are involved. The novel method exhibits several strengths: fast convergence, robustness against noise, advantages in computational complexity and applicability for a very small number of receivers.
@article{arxiv.1602.04939,
title = {A Multilevel Sampling Method for Detecting Sources in a Stratified Ocean Waveguide},
author = {Keji Liu and Yongzhi Xu and Jun Zou},
journal= {arXiv preprint arXiv:1602.04939},
year = {2016}
}