24 citations · 67 across the 10 of their papers we have counts for
10 papers
A two-point phase recovering from holographic data on a single plane
Roman Novikov, Vladimir Sivkin
We consider a plane wave, a radiation solution, and the sum of these solutions (total solution) for the Helmholtz equation in an exterior region in . In th…
On discrete X-ray transform
Roman Novikov, Basant Lal Sharma
We consider a discrete version of X-ray transform going back, in particular, to Strichartz (1982). We suggest non-overdetermined reconstruction for this discrete transform. Extensi…
On reconstruction from imaginary part for radiation solutions in two dimensions
Arjun Nair, Roman Novikov
We consider a radiation solution for the Helmholtz equation in an exterior region in . We show that in the exterior region is uniquely determined by its imagin…
A holographic uniqueness theorem for the two-dimensional Helmholtz equation
Arjun Nair, Roman Novikov
We consider a plane wave, a radiation solution, and the sum of these solutions (total solution) for the Helmholtz equation in an exterior region in . We consider a str…
A holographic global uniqueness in passive imaging
Roman Novikov
We consider a radiation solution for the Helmholtz equation in an exterior region in . We show that the restriction of to any ray in the exterior region is…
A holographic uniqueness theorem
Roman Novikov
We consider a plane wave, a radiation solution, and the sum of these solutions (total solution) for the Helmholtz equation in an exterior region in . We consider a ray in thi…