4 papers · 1 filter
An inverse source problem for linearly anisotropic radiative sources in absorbing and scattering medium
David Omogbhe, Kamran Sadiq
We consider in a two dimensional absorbing and scattering medium, an inverse source problem in the stationary radiative transport, where the source is linearly anisotropic. The med…
On the -ray transform of symmetric higher order tensors
David Omogbhe, Kamran Sadiq
In this article we characterize the range of the attenuated and non-attenuated -ray transform of compactly supported symmetric tensor fields in the Euclidean plane. The characte…
On the range of the -ray transform of symmetric tensors compactly supported in the plane
Kamran Sadiq, Alexandru Tamasan
We find the necessary and sufficient conditions on the Fourier coefficients of a function on the torus to be in the range of the -ray transform of a symmetric tensor of comp…
A Fourier approach to the inverse source problem in an absorbing and anisotropic scattering medium
Hiroshi Fujiwara, Kamran Sadiq, Alexandru Tamasan
We revisit the inverse source problem in a two dimensional absorbing and scattering medium and present a non-iterative reconstruction method using measurements of the radiating flu…