Scattering of waves in locally resonant woodpile structures with impurities
Phys. Rev. E 114, 035503 – Published 4 September, 2026
DOI: https://doi.org/10.1103/rwtw-8tvm
Abstract
We theoretically and experimentally investigate wave scattering in a single-column woodpile structure with impurities. This structure consists of slender cylindrical beams that support flexural bending modes, which are coupled strongly with propagating waves in the low-frequency regime (i.e., local resonance coupling). We examine the linear scattering of plane waves from single and double impurities in periodic configurations. When local resonance coupling is neglected, the double-impurity configuration exhibits reflectionless transmission, resembling the Ramsauer-Townsend (RT) resonance. Further analysis reveals that, under strong local resonance coupling, this behavior evolves into a Fano resonance, which features an asymmetric line shape with a sharp transition between transmission and reflection. However, as the RT resonance and the local resonance become spectrally closer, an analog of electromagnetically induced transparency (EIT) emerges, resulting from the balanced interference between the two modes. These distinct resonant behaviors can be tuned by varying the local resonance coupling strength, providing a controllable platform for macroscopic analogs of quantum wave interference. Potential applications include vibration isolation and wave-based switching devices.
