Acoustic wave localization in one-dimensional Fibonacci phononic structures with mirror symmetry

Hladky‐Hennion, Anne‐Christine; Vasseur, J. O.; Degraeve, Sébastien; Granger, C.; Billy, M. de

doi:10.1063/1.4801890

Cited by 26 publications

(28 citation statements)

References 41 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Herein, the use of compressive integral projection to decompose the high-frequency spatial component of the initial target image can provide a solution restoring the desired target image (Fig. S7B-ii Therefore, the structures are a promising tool for exploring the physics of wave transport and controlling the properties of wave patterns, which are relevant to several areas of acoustic metasurfaces [34], wave localisation [39,40], tunable multiband responses of quasilattice metasurfaces [41], and chiral structures [35]. Considering an exposure area of several square milimetres and a lateral feature size similar to that of the single-aperture imaging-based PµSL configuration [11,12], the areal ratio (~10 2 ) of printing scales demonstrates that this imaging approach can be scaled without reducing optical resolution.…”

Section: Resultsmentioning

confidence: 99%

Scalable additive manufacturing via integral image formation

Kim¹,

Handler²,

Cho³

et al. 2020

Preprint

View full text Add to dashboard Cite

Additive manufacturing techniques are used to fabricate functional microstructures with customised mechanical and chemical properties. One common technique is projection microstereolithography, which has recently been developed to support smaller features, larger build areas, and/or faster speeds. The limitation of such systems is that they typically utilise a single-aperture imaging configuration, which restricts their ability to produce microstructures in large volumes owing to the tradeoff between image resolution and image field area. In this paper, we propose an integral lithography technique based on integral image reconstruction coupled with a planar lens array. The individual microlenses in the planar lens array maintain a high numerical aperture and are employed to create digital light patterns that can expand the printable area by the number of microlenses (10^3-10^4). The proposed lens array-based integral imaging system can simultaneously scale up and scale down incoming image fields, thereby allowing for the scalable stereolithographic fabrication of three-dimensional features that surpass the resolution-to-area scaling limit. We extend the printing capability of integral lithography to fabricate deterministic nonperiodic structures through the rotational overlapping or stacking of multiple exposures with controlled angular offsets. The proposed system provides new possibilities for producing periodic and deterministic aperiodic microarchitectures spanning four orders of magnitude from micrometres to centimetres. These microarchitectures can be applied to biological scaffolds, chemical reactors, functional surfaces, and metastructures.

show abstract

Section: Resultsmentioning

confidence: 99%

Scalable additive manufacturing via integral image formation

Kim¹,

Handler²,

Cho³

et al. 2020

Preprint

View full text Add to dashboard Cite

show abstract

“…A typical example are also generic solid state nanostructures [18], where unavoidable impurities and defects (usually modeled as P-symmetric) separate the host crystal into finite K-symmetric parts. LS may further be present by design in artificial devices like, e. g., multilay-ered photonic setups [19,20], acoustic waveguides [21,22], or magnonic systems [23], due to restrictions of finiteness or functionality. In fact, even global spatial symmetry is generally rendered local as soon as a system's immediate environment is included in the description.…”

Section: Introductionmentioning

confidence: 99%

Nonlocal discrete continuity and invariant currents in locally symmetric effective Schrödinger arrays

et al. 2017

View full text Add to dashboard Cite

We develop a formalism relating nonlocal current continuity to spatial symmetries of subparts in discrete Schrödinger systems. Breaking of such local symmetries hereby generates sources or sinks for the associated nonlocal currents. The framework is applied to locally inversion-(time-) and translation-(time-) symmetric onedimensional photonic waveguide arrays with Hermitian or non-Hermitian effective tight-binding Hamiltonians. For stationary states the nonlocal currents become translationally invariant within symmetric domains, exposing different types of local symmetry. They are further employed to derive a mapping between wave amplitudes of symmetry-related sites, generalizing also the global Bloch and parity mapping to local symmetry in discrete systems. In scattering setups, perfectly transmitting states are characterized by aligned invariant currents in attached symmetry domains, whose vanishing signifies a correspondingly symmetric density. For periodically driven arrays, the invariance of the nonlocal currents is retained on period average for quasi-energy eigenstates. The proposed theory of symmetry-induced continuity and local invariants may contribute to the understanding of wave structure and response in systems with localized spatial order. arXiv:1607.06577v2 [quant-ph]

show abstract

“…These symmetry-induced spatial invariants were shown to enable a mapping of wave amplitudes of scattering states [17] or basis functions [18] between symmetryrelated points within any local symmetry (LS) domain. They have also been used to classify perfect transmission resonances [19] and as an order parameter for spontaneous symmetry breaking in parity-time symmetric scattering [20] and apply to a large variety of systems described by a spatial Helmholtz equation as e. g. in classical optics [21], quantum scattering [19], or even acoustic wave propagation [22][23][24] where it was readily corroborated by experiments [25]. As the invariant two-point currents are calculated from the stationary states, the LS formalism was so far -by construction-restricted to time-independent setups, thus making its generalization to time-dependent systems an intriguing yet challenging task.…”

mentioning

confidence: 99%

Exposing local symmetries in distorted driven lattices via time-averaged invariants

et al. 2016

View full text Add to dashboard Cite

Time-averaged two-point currents are derived and shown to be spatially invariant within domains of local translation or inversion symmetry for arbitrary time-periodic quantum systems in one dimension. These currents are shown to provide a valuable tool for detecting deformations of a spatial symmetry in static and driven lattices. In the static case the invariance of the two-point currents is related to the presence of time-reversal invariance and/or probability current conservation. The obtained insights into the wavefunctions are further exploited for a symmetry-based convergence check which is applicable for globally broken but locally retained potential symmetries.

show abstract

Acoustic wave localization in one-dimensional Fibonacci phononic structures with mirror symmetry

Cited by 26 publications

References 41 publications

Scalable additive manufacturing via integral image formation

Scalable additive manufacturing via integral image formation

Nonlocal discrete continuity and invariant currents in locally symmetric effective Schrödinger arrays

Exposing local symmetries in distorted driven lattices via time-averaged invariants

Contact Info

Product

Resources

About