2020/01/25 by Rodolfo Brandão, Brandão, Rodolfo, Ory Schnitzer +1
Earth and Planetary Sciences · Engineering · Materials Science · #Acoustic Wave Phenomena Research #Applied Physics (physics.app-ph) #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Metamaterials and Metasurfaces Applications #Underwater Acoustics Research
paper · pdf · doi:10.48550/arxiv.2001.09353
openalex publication_date 2020/01/25 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
We systematically employ the method of matched asymptotic expansions to model\nHelmholtz resonators, with thermoviscous effects incorporated starting from\nfirst principles and with the lumped parameters characterizing the neck and\ncavity geometries precisely defined and provided explicitly for a wide range of\ngeometries. With an eye towards modeling acoustic metasurfaces, we consider\nresonators embedded in a rigid surface, each resonator consisting of an\narbitrarily shaped cavity connected to the external half-space by a small\ncylindrical neck. The bulk of the analysis is devoted to the problem where a\nsingle resonator is subjected to a normally incident plane wave; the model is\nthen extended using "Foldy's method" to the case of multiple resonators\nsubjected to an arbitrary incident field. As an illustration, we derive\ncritical-coupling conditions for optimal and perfect absorption by a single\nresonator and a model metasurface, respectively.\n