Diffraction by a right-angled no-contrast penetrable wedge: recovery of far-field asymptotics
Analysis of PDEs
2023-11-01 v1
Abstract
We provide a description of the far-field encountered in the diffraction problem resulting from the interaction of a monochromatic plane-wave and a right-angled no-contrast penetrable wedge. To achieve this, we employ a two-complex-variable framework and use the analytical continuation formulae derived in (Kunz Assier, QJMAM, 76(2), 2023) to recover the wave-field's geometrical optics components, as well as the cylindrical and lateral diffracted waves. We prove that the corresponding cylindrical and lateral diffraction coefficients can be expressed in terms of certain two-complex-variable spectral functions, evaluated at some given points.
Cite
@article{arxiv.2310.19892,
title = {Diffraction by a right-angled no-contrast penetrable wedge: recovery of far-field asymptotics},
author = {Valentin D. Kunz and Raphael C. Assier},
journal= {arXiv preprint arXiv:2310.19892},
year = {2023}
}