Stability on the one-dimensional inverse source scattering problem in a two-layered medium

2017/09/11 by Yue Zhao, Zhao, Yue, Peijun Li +1
Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Microwave Imaging and Scattering Analysis #Numerical methods in inverse problems #Ultrasonics and Acoustic Wave Propagation

paper · pdf · doi:10.48550/arxiv.1709.03571

openalex publication_date 2017/09/11 · openalex created_date 2017/09/25 · openalex updated_date 2026/07/28

Abstract

This paper concerns the stability on the inverse source scattering problem for the one-dimensional Helmholtz equation in a two-layered medium. We show that the increasing stability can be achieved by using multi-frequency wave field at the two end points of the interval which contains the compact support of the source function.

Citations

• Optical tomography in medical imaging

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