3 papers
math-ph2026
Embedding formulae for diffraction problems on square lattices
A. I. Korolkov, A. V. Kisil
We develop embedding formulae for all possible diffraction problems with Dirichlet scatterers on square lattices using the Wiener--Hopf perspective. The embedding formula expresses…
math-ph2025
On an analogy between the Wiener--Hopf formulations of discrete and continuous diffraction problems
A. I. Korolkov, R. C. Assier, A. V. Kisil
This article is dedicated to unifying the framework used to derive the Wiener--Hopf equations arising from some discrete and continuous wave diffraction problems.The main tools are…
math-ph2024
Recycling solutions of boundary value problems: the Wiener--Hopf perspective on embedding formula
A. I. Korolkov, A. V. Kisil
Embedding formula allows to recycle solution of a family boundary value problems by expressing all the solutions in terms of a small number of solutions. Such formulas have been pr…