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20132025
most citedA Fourier approach to the inverse source problem in an absorbing and anisotropic scattering medium

13 citations · 28 across the 17 of their papers we have counts for

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Showing 2022Show all

5 papers · 1 filter

math.AP2022

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…

math.AP2022

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…

math.AP2022

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…

math.NA2022★ 1 cited

Numerical reconstruction of radiative sources from partial boundary measurements

Hiroshi Fujiwara, Kamran Sadiq, Alexandru Tamasan

We consider an inverse source problem in the stationary radiative transport through an absorbing and scattering medium in two dimensions. Using the angularly resolved radiation mea…

math.AP2022

On the range of the planar -ray transform on the Fourier lattice of the torus

Kamran Sadiq, Alexandru Tamasan

We find necessary and sufficient conditions on the Fourier coefficients of a function on the torus to be in the range of the -ray transform of functions with compact support…