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math-ph2024
Matrix representation of Picard--Lefschetz--Pham theory near the real plane in
A. V. Shanin, A. I. Korolkov, N. M. Artemov +1
A matrix formalism is proposed for computations based on Picard--Lefschetz theory in a 2D case. The formalism is essentially equivalent to the computation of the intersection indic…
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…