Reconstructing the Optical Parameters of a Layered Medium with Optical Coherence Elastography
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2020
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| _version_ | 1866911781398511616 |
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| author | Elbau, Peter Mindrinos, Leonidas Veselka, Leopold |
| author_facet | Elbau, Peter Mindrinos, Leonidas Veselka, Leopold |
| contents | In this work we consider the inverse problem of reconstructing the optical properties of a layered medium from an elastography measurement where optical coherence tomography is used as the imaging method. We hereby model the sample as a linear dielectric medium so that the imaging parameter is given by its electric susceptibility, which is a frequency- and depth-dependent parameter. Additionally to the layered structure (assumed to be valid at least in the small illuminated region), we allow for small scatterers which we consider to be randomly distributed, a situation which seems more realistic compared to purely homogeneous layers. We then show that a unique reconstruction of the susceptibility of the medium (after averaging over the small scatterers) can be achieved from optical coherence tomography measurements for different compression states of the medium. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2002_03760 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Reconstructing the Optical Parameters of a Layered Medium with Optical Coherence Elastography Elbau, Peter Mindrinos, Leonidas Veselka, Leopold Numerical Analysis Analysis of PDEs In this work we consider the inverse problem of reconstructing the optical properties of a layered medium from an elastography measurement where optical coherence tomography is used as the imaging method. We hereby model the sample as a linear dielectric medium so that the imaging parameter is given by its electric susceptibility, which is a frequency- and depth-dependent parameter. Additionally to the layered structure (assumed to be valid at least in the small illuminated region), we allow for small scatterers which we consider to be randomly distributed, a situation which seems more realistic compared to purely homogeneous layers. We then show that a unique reconstruction of the susceptibility of the medium (after averaging over the small scatterers) can be achieved from optical coherence tomography measurements for different compression states of the medium. |
| title | Reconstructing the Optical Parameters of a Layered Medium with Optical Coherence Elastography |
| topic | Numerical Analysis Analysis of PDEs |
| url | https://arxiv.org/abs/2002.03760 |