Half-plane diffraction problems on a triangular lattice

DOI10.1007/s10665-022-10252-5OpenAlexW4313566523MaRDI QIDQ2677385

E. Pesetskaya, David Kapanadze

Publication date: 13 January 2023

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.04386

zbMATH Keywords

existenceuniquenessDirichlet boundary value problemmetamaterialdiscrete Helmholtz equationradiating solution

Mathematics Subject Classification ID

Composite and mixture properties (74E30) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Waves and radiation in optics and electromagnetic theory (78A40) Lattice dynamics; integrable lattice equations (37K60) Green's functions for elliptic equations (35J08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boundary value problems for difference equations (39A27)

Cites Work

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• The Helmholtz equation in a locally perturbed half-space with non-absorbing boundary
• Diffraction problems for two-dimensional lattice waves in a quadrant
• Diffraction on the Two-Dimensional Square Lattice
• A Uniqueness Result for Scattering by Infinite Rough Surfaces
• Electromagnetic scattering by an inhomogeneous conducting or dielectric layer on a perfectly conducting plate
• The Impedance Boundary Value Problem for the Helmholtz Equation in a Half-Plane
• The far‐field behaviour of Green's function for a triangular lattice and radiation conditions
• The Helmholtz equation in a locally perturbed half-plane with passive boundary

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