2 papers
math.AP2025
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 imag…
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 . We consider a str…