An Inverse Hyperbolic Problem with Application to Joint Photoacoustic Parameter Determination
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916367393882112 |
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| author | Liu, Shitao Uhlmann, Gunther Yang, Yang |
| author_facet | Liu, Shitao Uhlmann, Gunther Yang, Yang |
| contents | We consider an inverse problem of recovering a parameter appearing in all levels in a second-order hyperbolic equation from a single boundary measurement. The model is motivated from applications in photoacoustic tomography when one seeks to recover both the wave speed and the initial ultrasound pressure from a single ultrasound signal. In particular, our result shows that the ratio of the initial ultrasound pressure and the wave speed squared uniquely determines both of them respectively. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_12759 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An Inverse Hyperbolic Problem with Application to Joint Photoacoustic Parameter Determination Liu, Shitao Uhlmann, Gunther Yang, Yang Analysis of PDEs 35R30, 35L05 We consider an inverse problem of recovering a parameter appearing in all levels in a second-order hyperbolic equation from a single boundary measurement. The model is motivated from applications in photoacoustic tomography when one seeks to recover both the wave speed and the initial ultrasound pressure from a single ultrasound signal. In particular, our result shows that the ratio of the initial ultrasound pressure and the wave speed squared uniquely determines both of them respectively. |
| title | An Inverse Hyperbolic Problem with Application to Joint Photoacoustic Parameter Determination |
| topic | Analysis of PDEs 35R30, 35L05 |
| url | https://arxiv.org/abs/2408.12759 |