On the numerical solution to an inverse medium problem

Dinh-Liem Nguyen; Trung Truong

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arXiv · 2010.11262

On the numerical solution to an inverse medium problem

Dinh-Liem Nguyen·Trung Truong

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Abstract

This paper is concerned with the inverse medium problem of determining the location and shape of penetrable scattering objects from measurements of the scattered field. We study a sampling indicator function for recovering the scattering object in a fast and robust way. A flexibility of this indicator function is that it is applicable to data measured in near-field regime or far-field regime. The implementation of the function is simple and does not involve solving any ill-posed problems. The resolution analysis and stability estimate of the indicator function are investigated using the factorization analysis of the far-field operator along with the Funk-Hecke formula. The performance of the method is verified on both simulated and experimental data.

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Dinh-Liem Nguyen, Trung Truong. 2020-10-21. On the numerical solution to an inverse medium problem. https://arxiv.org/abs/2010.11262

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