Stability of a one-dimensional inverse source scattering problem in a multi-layered medium

نویسندگان

چکیده

In this paper, a stability result on an inverse source scattering problem is shown for Helmholtz equation in multi-layered medium. The estimate consists of Lipschitz term low frequencies and logarithmically unstable high frequencies, based the Green's function problem. Moreover, logarithmic decreases as frequency grows, which indicates almost Lipschitz. This demonstrates that increasing problems can be achieved by utilizing multi-frequency measurement data.

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ژورنال

عنوان ژورنال: Inverse Problems and Imaging

سال: 2023

ISSN: ['1930-8345', '1930-8337']

DOI: https://doi.org/10.3934/ipi.2023010