Small defects reconstruction in waveguides from multifrequency one-side scattering data
نویسندگان
چکیده
<p style='text-indent:20px;'>Localization and reconstruction of small defects in acoustic or electromagnetic waveguides is crucial interest nondestructive evaluation structures. The aim this work to present a new multi-frequency inversion method reconstruct 2D waveguide. Given one-side wave field measurements propagating modes, we use Born approximation provide <inline-formula><tex-math id="M1">\begin{document}$ \text{L}^2 $\end{document}</tex-math></inline-formula>-stable three types defects: local perturbation inside the waveguide, bending localized defect geometry This based on mode-by-mode spacial Fourier from available partial data domain. Indeed, data, some high low spatial frequency information are missing. We overcome issue using both compact support hypothesis minimal smoothness defects. also suitable numerical for efficient such discuss its applications limits.</p>
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ژورنال
عنوان ژورنال: Inverse Problems and Imaging
سال: 2022
ISSN: ['1930-8345', '1930-8337']
DOI: https://doi.org/10.3934/ipi.2021056