Lipschitz stability at the boundary for time-harmonic diffuse optical tomographyCitation formats

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Lipschitz stability at the boundary for time-harmonic diffuse optical tomography. / Doeva, Olga; Gaburro, Romina; Lionheart, William; Nolan, Clifford J .

In: Applicable Analysis, 06.05.2020.

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Doeva, Olga ; Gaburro, Romina ; Lionheart, William ; Nolan, Clifford J . / Lipschitz stability at the boundary for time-harmonic diffuse optical tomography. In: Applicable Analysis. 2020.

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@article{c607ca3850b9406c83377b5af5af4ea3,
title = "Lipschitz stability at the boundary for time-harmonic diffuse optical tomography",
abstract = "We study the inverse problem in Optical Tomography of determining the optical properties of a medium Ω⊂ℝn, with n≥ 3, under the so-called diffusion approximation. We consider the time-harmonic case where Ω is probed with an input field that is modulated with a fixed harmonic frequency ω=k/c, where c is the speed of light and k is the wave number. We prove a result of Lipschitz stability of the absorption coefficient μa at the boundary ∂Ω in terms of the measurements in the case when the scattering coefficient μs is assumed to be known and k belongs to certain intervals depending on some a-priori bounds on μa, μs.",
author = "Olga Doeva and Romina Gaburro and William Lionheart and Nolan, {Clifford J}",
year = "2020",
month = may,
day = "6",
doi = "10.1080/00036811.2020.1758314",
language = "English",
journal = "Applicable Analysis",
issn = "0003-6811",
publisher = "Taylor & Francis",

}

RIS

TY - JOUR

T1 - Lipschitz stability at the boundary for time-harmonic diffuse optical tomography

AU - Doeva, Olga

AU - Gaburro, Romina

AU - Lionheart, William

AU - Nolan, Clifford J

PY - 2020/5/6

Y1 - 2020/5/6

N2 - We study the inverse problem in Optical Tomography of determining the optical properties of a medium Ω⊂ℝn, with n≥ 3, under the so-called diffusion approximation. We consider the time-harmonic case where Ω is probed with an input field that is modulated with a fixed harmonic frequency ω=k/c, where c is the speed of light and k is the wave number. We prove a result of Lipschitz stability of the absorption coefficient μa at the boundary ∂Ω in terms of the measurements in the case when the scattering coefficient μs is assumed to be known and k belongs to certain intervals depending on some a-priori bounds on μa, μs.

AB - We study the inverse problem in Optical Tomography of determining the optical properties of a medium Ω⊂ℝn, with n≥ 3, under the so-called diffusion approximation. We consider the time-harmonic case where Ω is probed with an input field that is modulated with a fixed harmonic frequency ω=k/c, where c is the speed of light and k is the wave number. We prove a result of Lipschitz stability of the absorption coefficient μa at the boundary ∂Ω in terms of the measurements in the case when the scattering coefficient μs is assumed to be known and k belongs to certain intervals depending on some a-priori bounds on μa, μs.

U2 - 10.1080/00036811.2020.1758314

DO - 10.1080/00036811.2020.1758314

M3 - Article

JO - Applicable Analysis

JF - Applicable Analysis

SN - 0003-6811

ER -