Stability of the Gauge Equivalent Classes in Inverse Stationary Transport in Refractive Media

2010/08/27 by Stephen McDowall, Plamen Stefanov, McDowall, Stephen +3
Engineering · Mathematics · Physics and Astronomy · #35R30 #78A46 #Analysis of PDEs (math.AP) #FOS: Mathematics #Microwave Imaging and Scattering Analysis #Numerical methods in inverse problems #Random lasers and scattering media #math.AP #msc:35R30 #msc:78A46

paper · pdf · doi:10.48550/arxiv.1008.4816

arxiv created 2010/08/27 · openalex publication_date 2010/08/27 · arxiv updated 2010/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

In the inverse stationary transport problem through anisotropic attenuating, scattering, and refractive media, the albedo operator stably determines the gauge equivalent class of the attenuation and scattering coefficients.

Related

• Uniqueness and Non-uniqueness in inverse radiative transfer
• Stability for time-dependent inverse transport
• An inverse radiative transfer in refractive media equipped with a magnetic field
• An inverse problem for the time-dependent linear Boltzmann equation in a Riemannian setting
• Inverse Transport and Acousto-Optic Imaging