The study presents a high-order boundary integral equation (BIE) method for accurately analyzing the acoustic scattering of a point source by a singly-periodic, corrugated boundary. The focus is on understanding acoustic radiation near sound-hard 2D staircases to explain time- and frequency-domain phenomena due to nearby point-source excitation. By utilizing array scanning methods and efficient lattice sum coefficients, the BIE solution achieves high accuracy in seconds per excitation frequency. The paper aims to extract limiting powers carried by trapped modes far from the source and explains an observed chirp-like time-domain response known as the "raindrop" effect. The content delves into numerical solutions, dispersion relations of trapped modes, and proposes a ray model to predict arrival times of different frequencies at the bottom of staircases modeled after El Castillo pyramid.
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by Fruzsina J. ... at arxiv.org 03-19-2024
https://arxiv.org/pdf/2310.12486.pdfDeeper Inquiries