R. Novikov

collaborators

5 papers

math.AP2025

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 $R^{d},$ $d \geq 2$ . In th…

math.AP2025

On reconstruction from imaginary part for radiation solutions in two dimensions

Arjun Nair, Roman Novikov

We consider a radiation solution $I ¨ $ for the Helmholtz equation in an exterior region in $R^{2}$ . We show that $I ¨ $ in the exterior region is uniquely determined by its imag…

math.FA2025

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…

math.AP2025

A holographic global uniqueness in passive imaging

Roman Novikov

We consider a radiation solution $I ¨ $ for the Helmholtz equation in an exterior region in $R^{3}$ . We show that the restriction of $I ¨ $ to any ray $L$ in the exterior region…

math.AP2024

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 $R^{2}$ . We consider a str…