6533b823fe1ef96bd127e170
RESEARCH PRODUCT
Elastic Wave Near-Cloaking
Muamer KadicRichard V. CrasterDavide Enrico QuadrelliFrancesco Braghinsubject
Field (physics)FOS: Physical sciencesCloakingPhysics::OpticsBioengineeringApplied Physics (physics.app-ph)02 engineering and technology010402 general chemistry01 natural sciencesElectromagnetic radiation[SPI.MAT]Engineering Sciences [physics]/Materialssymbols.namesakeConformal transformationsChemical Engineering (miscellaneous)Rayleigh wave[SPI.NANO]Engineering Sciences [physics]/Micro and nanotechnologies/MicroelectronicsEngineering (miscellaneous)PhysicsElastic cloaking[SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph]Condensed Matter - Materials ScienceMechanical EngineeringMaterials Science (cond-mat.mtrl-sci)MetamaterialDecoupling (cosmology)Physics - Applied PhysicsInvariant (physics)021001 nanoscience & nanotechnologyPhysics::Classical Physicscond-mat.mtrl-sci0104 chemical sciencesClassical mechanicsMechanics of MaterialsMetamaterialssymbolsphysics.app-ph0210 nano-technologyFocus (optics)description
Cloaking elastic waves has, in contrast to the cloaking of electromagnetic waves, remained a fundamental challenge: the latter successfully uses the invariance of Maxwell's equations, from which the field of transformational optics has emerged, whereas the elastic Navier equations are not invariant under coordinate transformations. Our aim is to overcome this challenge, at least in practical terms, and thereby unlock applications in mechanics, ultrasound, vibration mitigation, non-destructive evaluation and elastic wave control. We achieve near-cloaking by recognising that, despite the lack of invariance, a decoupling into a system of form invariant potential equations together with a quantifiable approximation, can be used effectively in many cases to control the flow of elastodynamic waves. Here, in particular we \rvc{focus} on the efficiency and practicability of the proposed near-cloaking which is illustrated using carpet cloaks to hide surface defects from incoming compressional and shear in-plane waves and from surface elastic Rayleigh waves.
year | journal | country | edition | language |
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2020-11-13 |