2 papers
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…
math.AP2024
A note on double Floquet-Bloch transforms and the far-field asymptotics of Green's functions tailored to periodic structures
Andrey V. Shanin, Raphael C. Assier, Andrey I. Korolkov +1
We propose a general procedure to study double integrals arising when considering wave propagation in periodic structures. This method, based on a complex deformation of the integr…