Delineating rainbow reflection and trapping with applications for energy harvesting
File(s)Chaplain_2020_New_J._Phys._22_063024.pdf (3.16 MB)
Published version
Author(s)
Chaplain, Gregory James
Pajer, Daniel
De Ponti, Jacopo Maria
Craster, Richard V
Type
Journal Article
Abstract
Important distinctions are made between two related wave control mechanisms that act to spatially separate frequency components; these so-called rainbow mechanisms either slow or reverse guided waves propagating along a graded line array. We demonstrate an important nuance distinguishing rainbow reflection from genuine rainbow trapping and show the implications of this distinction for energy harvesting designs, through inspection of the interaction time between slowed zero group velocity waves and the array. The difference between these related mechanisms is highlighted using a design methodology, applied to flexural waves on mass loaded thin Kirchhoff-Love elastic plates, and emphasised through simulations for energy harvesting in the setting of elasticity, by elastic metasurfaces of graded line arrays of resonant rods atop a beam. The delineation of these two effects, reflection and trapping, allows us to characterise the behaviour of forced line array systems and predict their capabilities for trapping, conversion and focusing of energy.
Date Issued
2020-06-17
Date Acceptance
2020-04-23
Citation
New Journal of Physics, 2020, 22, pp.1-12
ISSN
1367-2630
Publisher
Institute of Physics (IoP) and Deutsche Physikalische Gesellschaft
Start Page
1
End Page
12
Journal / Book Title
New Journal of Physics
Volume
22
Copyright Statement
As the Version of Record of this article is going to be/has been published on a gold open access basis under a CC BY 3.0 licence, this Accepted Manuscript is available for reuse under a CC BY 3.0 licence immediately.
Although reasonable endeavours have been taken to obtain all necessary permissions from third parties to include their copyrighted content within this article, their full citation and copyright line may not be present in this Accepted Manuscript version. Before using any content from this article, please refer to the Version of Record on IOPscience once published for full citation and copyright details, as permission may be required. All third party content is fully copyright protected, and is not published on a gold open access basis under a CC BY licence, unless that is specifically stated in the figure caption in the Version of Record.
Although reasonable endeavours have been taken to obtain all necessary permissions from third parties to include their copyrighted content within this article, their full citation and copyright line may not be present in this Accepted Manuscript version. Before using any content from this article, please refer to the Version of Record on IOPscience once published for full citation and copyright details, as permission may be required. All third party content is fully copyright protected, and is not published on a gold open access basis under a CC BY licence, unless that is specifically stated in the figure caption in the Version of Record.
Sponsor
Engineering & Physical Science Research Council (EPSRC)
Identifier
https://iopscience.iop.org/article/10.1088/1367-2630/ab8cae
Grant Number
EP/L024926/1
Subjects
Fluids & Plasmas
02 Physical Sciences
Publication Status
Published
Date Publish Online
2020-04-23