Detection and characterization of targets in complex media using fingerprint matrices
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911189751037952 |
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| author | Ber, Arthur Le Goïcoechea, Antton Rachbauer, Lukas M. Lambert, William Jia, Xiaoping Fink, Mathias Tourin, Arnaud Rotter, Stefan Aubry, Alexandre |
| author_facet | Ber, Arthur Le Goïcoechea, Antton Rachbauer, Lukas M. Lambert, William Jia, Xiaoping Fink, Mathias Tourin, Arnaud Rotter, Stefan Aubry, Alexandre |
| contents | When waves propagate through a complex medium, they undergo several scattering events. This phenomenon is detrimental to imaging, as it causes full blurring of the image. Here we describe a method for detecting, localizing and characterizing any scattering target embedded in a complex medium. We introduce a fingerprint operator that contains the specific signature of the target with respect to its environment. When applied to the recorded reflection matrix, it provides a likelihood index of the target state. This state can be the position of the target for localization purposes, its shape for characterization or any other parameter that influences its response. We demonstrate the versatility of our method by performing proof-of-concept ultrasound experiments on elastic spheres buried inside a strongly scattering granular suspension and on lesion markers, which are commonly used to monitor breast tumours, embedded in a foam mimicking soft tissue. Furthermore, we show how the fingerprint operator can be leveraged to characterize the complex medium itself by mapping the fibre architecture within muscle tissue. Our method is broadly applicable to different types of waves beyond ultrasound for which multi-element technology allows a reflection matrix to be measured. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_07052 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Detection and characterization of targets in complex media using fingerprint matrices Ber, Arthur Le Goïcoechea, Antton Rachbauer, Lukas M. Lambert, William Jia, Xiaoping Fink, Mathias Tourin, Arnaud Rotter, Stefan Aubry, Alexandre Applied Physics Disordered Systems and Neural Networks Image and Video Processing Optics When waves propagate through a complex medium, they undergo several scattering events. This phenomenon is detrimental to imaging, as it causes full blurring of the image. Here we describe a method for detecting, localizing and characterizing any scattering target embedded in a complex medium. We introduce a fingerprint operator that contains the specific signature of the target with respect to its environment. When applied to the recorded reflection matrix, it provides a likelihood index of the target state. This state can be the position of the target for localization purposes, its shape for characterization or any other parameter that influences its response. We demonstrate the versatility of our method by performing proof-of-concept ultrasound experiments on elastic spheres buried inside a strongly scattering granular suspension and on lesion markers, which are commonly used to monitor breast tumours, embedded in a foam mimicking soft tissue. Furthermore, we show how the fingerprint operator can be leveraged to characterize the complex medium itself by mapping the fibre architecture within muscle tissue. Our method is broadly applicable to different types of waves beyond ultrasound for which multi-element technology allows a reflection matrix to be measured. |
| title | Detection and characterization of targets in complex media using fingerprint matrices |
| topic | Applied Physics Disordered Systems and Neural Networks Image and Video Processing Optics |
| url | https://arxiv.org/abs/2502.07052 |