This paper presents a theoretical framework and experimental protocol for probing phononic nodal rings through anomalous acoustic wave scattering. It develops a multiple-scattering theory framework that captures the distinctive signatures of nodal ring topology in the far-field scattering cross-section and proposes an experimental validation plan.
Key findings
Developed a multiple-scattering theory connecting Berry phase of phononic nodal rings to observable signatures.
Identified three characteristic anomalous scattering regimes: frequency-invariant scattering phase, asymmetric forward-backward scattering, and cusp singularities in the frequency-dependent cross-section.
Proposed a comprehensive experimental protocol combining angle-resolved transmission, scanning acoustic microscopy, and far-field scattering measurements.
Validated the approach through numerical simulations demonstrating robust experimental signatures in realistic phononic crystal geometries.
Limitations & open questions
The study focuses on theoretical and numerical aspects; experimental validation is proposed but not yet conducted.