Broadband evolution of phononic-crystal-waveguide eigenstates in real- and k-spaces

Otsuka, Paul H.; Nanri, Kaeisuke; Matsuda, Osamu; Tomoda, Motonobu; Profunser, Dieter M.; Veres, István A.; Danworaphong, Sorasak; Khelif, Abdelkrim; Benchabane, Sarah; Laude, Vincent; Wright, Oliver B.

doi:10.1038/srep03351

Cited by 66 publications

(54 citation statements)

References 32 publications

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“…Since they are governed only by interferences, they have been proved to be ideal candidates for controlling the propagation of waves at the scale of their unit cell. Indeed, local modifications of these media can be realized without altering the properties of the whole medium, notably its ability to support band gaps, resulting in the creation of cavities or waveguides [8]. Yet the lowest frequency exhibiting this property is typically the frequency for which the wavelength corresponds to twice the medium periodicity.…”

Section: Introductionmentioning

confidence: 99%

Soda Cans Metamaterial: A Subwavelength-Scaled Phononic Crystal

et al. 2016

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Photonic or phononic crystals and metamaterials, due to their very different typical spatial scales-wavelength and deep subwavelength-and underlying physical mechanisms-Bragg interferences or local resonances-, are often considered to be very different composite media. As such, while the former are commonly used to manipulate and control waves at the scale of the unit cell, i.e., wavelength, the latter are usually considered for their effective properties. Yet we have shown in the last few years that under some approximations, metamaterials can be used as photonic or phononic crystals, with the great advantage that they are much more compact. In this review, we will concentrate on metamaterials made out of soda cans, that is, Helmholtz resonators of deep subwavelength dimensions. We will first show that their properties can be understood, likewise phononic crystals, as resulting from interferences only, through multiple scattering effects and Fano interferences. Then, we will demonstrate that below the resonance frequency of its unit cell, a soda can metamaterial supports a band of subwavelength varying modes, which can be excited coherently using time reversal, in order to beat the diffraction limit from the far field. Above this frequency, the metamaterial supports a band gap, which we will use to demonstrate cavities and waveguides, very similar to those obtained in phononic crystals, albeit of deep subwavelength dimensions. We will finally show that multiple scattering can be taken advantage of in these metamaterials, by correctly structuring them. This allows to turn a metamaterial with a single negative effective property into a negative index metamaterial, which refracts waves negatively, hence acting as a superlens.

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Section: Introductionmentioning

confidence: 99%

Soda Cans Metamaterial: A Subwavelength-Scaled Phononic Crystal

et al. 2016

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“…Phononic crystals 1 can for instance be used to implement waveguiding functions through the introduction of a linear defect in 2D crystals of holes. [2][3][4] In this case, a waveguiding band appears in a frequency range that is contained within a complete band band gap of the phononic crystal. Waveguides relying on a local resonance of a 2D lattice of pillars on a surface have also been demonstrated.…”

Section: Introductionmentioning

confidence: 99%

Guidance of surface elastic waves along a linear chain of pillars

et al. 2016

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The propagation of surface elastic waves, or surface phonons, is considered along a linear and periodic chain of cylindrical pillars sitting on a semi-infinite solid substrate. A variety of guided modes, some of them exhibiting a very low group velocity, are shown to exist at frequencies close to the resonance frequencies of the pillars. Although the pillar diameter is typically smaller than half the relevant wavelength, lateral radiation on the surface is found to be canceled. Surface guidance is explained by the hybridization of the resonating pillars with the continuum of elastic waves of the substrate.

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“…Time-domain imaging of acoustic wave propagation in phononic crystals was first demonstrated in millimetre-scale structures and liquid/solid systems without the use of optics by means of focused transducers at megahertz frequencies [30][31][32]. More recently, the versatility of time-domain optical interferometry for ultrafast measurements of surface acoustic waves (SAWs) on micrometre-scale solid and solid/air phononic crystals has been demonstrated up to approximately 1 GHz [33][34][35][36][37][38][39]. In this paper, we review results obtained using such ultrafast time-domain imaging of the acoustic field on the surface of microscopic phononic crystals in two spatial dimensions in the range around 100 MHz-1 GHz.…”

Section: Introductionmentioning

confidence: 99%

Watching surface waves in phononic crystals

Wright

Matsuda

2015

Phil. Trans. R. Soc. A.

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In this paper, we review results obtained by ultrafast imaging of gigahertz surface acoustic waves in surface phononic crystals with one-and two-dimensional periodicities. By use of quasi-point-source optical excitation, we show how, from a series of images that form a movie of the travelling waves, the dispersion relation of the acoustic modes, their corresponding mode patterns and the position and widths of phonon stop bands can be obtained by temporal and spatiotemporal Fourier analysis. We further demonstrate how one can follow the temporal evolution of phononic eigenstates in k-space using data from phononic-crystal waveguides as an example.

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Broadband evolution of phononic-crystal-waveguide eigenstates in real- and k-spaces

Cited by 66 publications

References 32 publications

Soda Cans Metamaterial: A Subwavelength-Scaled Phononic Crystal

Soda Cans Metamaterial: A Subwavelength-Scaled Phononic Crystal

Guidance of surface elastic waves along a linear chain of pillars

Watching surface waves in phononic crystals

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