Quantitative OCT reconstructions for dispersive media
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2019
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| _version_ | 1866911781393268736 |
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| author | Elbau, Peter Mindrinos, Leonidas Veselka, Leopold |
| author_facet | Elbau, Peter Mindrinos, Leonidas Veselka, Leopold |
| contents | We consider the problem of reconstructing the position and the time-dependent optical properties of a linear dispersive medium from OCT measurements. The medium is multi-layered described by a piece-wise inhomogeneous refractive index. The measurement data are from a frequency-domain OCT system and we address also the phase retrieval problem. The parameter identification problem can be formulated as an one-dimensional inverse problem. Initially, we deal with a non-dispersive medium and we derive an iterative scheme that is the core of the algorithm for the frequency-dependent parameter. The case of absorbing medium is also addressed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1906_12315 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Quantitative OCT reconstructions for dispersive media Elbau, Peter Mindrinos, Leonidas Veselka, Leopold Numerical Analysis We consider the problem of reconstructing the position and the time-dependent optical properties of a linear dispersive medium from OCT measurements. The medium is multi-layered described by a piece-wise inhomogeneous refractive index. The measurement data are from a frequency-domain OCT system and we address also the phase retrieval problem. The parameter identification problem can be formulated as an one-dimensional inverse problem. Initially, we deal with a non-dispersive medium and we derive an iterative scheme that is the core of the algorithm for the frequency-dependent parameter. The case of absorbing medium is also addressed. |
| title | Quantitative OCT reconstructions for dispersive media |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/1906.12315 |