Article

Imaging sound-soft targets in waveguides using the topological derivative

Umid KarimovDepartment of Mathematical Engineering, Urgench State University, 14 Khamid Alimdjan, 220100 Urgench, UzbekistanPeter MonkMathematical Sciences Department, University of Delaware, Newark, DE 19716, United States of AmericaVirginia SelgásDpto. Matemáticas, Universidad de Oviedo, EPIG, c/Luis Ortiz Berrocal s/n, 33203 Gijón, Spain

Inverse Problemsjournal2025en

ABI

Abstract

Abstract We investigate the use of shape sensitivity analysis based on topological derivatives to image a non-penetrable obstacle located inside a tubular acoustic waveguide. Assuming time-harmonic wave propagation, we reduce the problem to a finite section of pipe using the Dirichlet-to-Neumann map, and derive a closed form expression of the topological derivative for this situation. We investigate the method numerically on synthetic data. A particular feature of our study is the use of multi-frequency data.

Topics

Medical Imaging Techniques and Applications Topological and Geometric Data Analysis

Identifiers

DOI: 10.1088/1361-6420/adb06e

Citations and references

Cited by 026 references

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