An inverse radiative transfer in refractive media equipped with a magnetic field

2013/09/30 by Yernat M. Assylbekov, Yang Yang, Assylbekov, Yernat M. +1
Engineering · Mathematics · Medicine · #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #Optical Imaging and Spectroscopy Techniques #Radiative Heat Transfer Studies #math.AP

paper · pdf · doi:10.48550/arxiv.1309.7981

31 pages

arxiv created 2013/09/30 · openalex publication_date 2013/09/30 · arxiv updated 2013/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the reconstruction of the attenuation and absorption coefficients in a stationary linear transport equation from knowledge of albedo operator in dimension n≥ 3 on a Riemannian manifold in the presence of a magnetic field. We show the direct boundary value problem is well posed under two types of subcritical conditions. We obtain uniqueness and non-uniqueness results of the reconstruction under some restrictions. Finally, stability estimates are also established.

Citations

• Optical tomography in medical imaging

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