Abstract Mechanical bound states in the continuum (BICs) present an alternative avenue for developing high-frequency, high-Qmechanical resonators, distinct from the conventional band structure engineering method. While symmetry-protected mechanical BICs have been realized in phononic crystals, the observation of accidental mechanical BICs—whose existence is independent of mode symmetry and tunable by structural parameters—has remained elusive. This challenge is primarily attributed to the additional radiation channel introduced by the longitudinal component of elastic waves. Here, we employ a coupled wave theory to predict and experimentally demonstrate mechanical accidental BICs within a high-aspect-ratio gallium arsenide phononic crystal grating. We observe the merging process of accidental BICs with symmetry-protected BICs, resulting in reduced acoustic radiation losses compared to isolated BICs. This finding opens up new possibilities for phonon trapping using BIC-based systems, with potential applications in sensing, transduction, and quantum measurements.
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Bound modes in the continuum based phononic waveguides
We analytically predict and numerically demonstrate the existence of a family of bound modes in the continuum (BICs) in bi-layered spring-mass chains. A coupled array of such chains is then used to illustrate transversely bound waves propagating along a channel in a lattice. We start by considering the compact region formed by coupling two spring-mass chains with defects and predict bound modes arising due to reflection symmetries in this region. Dispersion analysis of a waveguide consisting of an array of appropriately coupled bi-layered chains reveals the presence of a branch having bound modes in the passband. Finally, detailed numerical analyses verify the existence of a BIC and its propagation through the waveguide at passband frequencies without energy leakage. The framework allows us to achieve BICs and their propagation for any arbitrary size and location of the compact region. Such BICs open avenues for novel classes of resonators with extremely high [Formula: see text] factors due to zero energy leakage and allow for guiding confined waves in structures without requiring bandgaps.
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- Award ID(s):
- 2027455
- PAR ID:
- 10387975
- Date Published:
- Journal Name:
- Journal of Applied Physics
- Volume:
- 132
- Issue:
- 11
- ISSN:
- 0021-8979
- Page Range / eLocation ID:
- 115109
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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