The colours of cloaks. Guenneau, S., McPhedran, R. C, Enoch, S., Movchan, A. B, Farhat, M., & Nicorovici, N. P Journal of Optics, 13(2):024014, 2010. ISBN: 2040-8978
The colours of cloaks [link]Paper  doi  abstract   bibtex   
We present a survey of results from various research groups under the unifying viewpoint of\ntransformational physics, which has been recently introduced for the design of metamaterials in\noptics and acoustics. We illustrate the versatility of underlying geometric transforms in order to\nbridge wave phenomena (the different 'colours' of waves) ranging from transverse electric waves, to\nlinear surface water waves at an air–fluid interface, to pressure waves in fluids and out-of-plane\nshear waves in elastic media: these waves are all governed by a second order scalar partial\ndifferential equation (PDE) invariant under geometric transform. Moreover, flexural waves\npropagating in thin plates represent a very peculiar situation whereby the displacement field\nsatisfies a fourth order scalar PDE which also retains its form under geometric transform (unlike\nfor the Navier equation in elastodynamics). Control of flexural wave trajectories is illustrated\nwith a multilayered cloak and a carpet. Interestingly, the colours of waves can be revealed through
@article{guenneau_colours_2010,
	title = {The colours of cloaks},
	volume = {13},
	issn = {2040-8978},
	url = {http://stacks.iop.org/2040-8986/13/i=2/a=024014?key=crossref.e3a86a2126d3f4e1aa9415539ea635b4},
	doi = {10.1088/2040-8978/13/2/024014},
	abstract = {We present a survey of results from various research groups under the unifying viewpoint of{\textbackslash}ntransformational physics, which has been recently introduced for the design of metamaterials in{\textbackslash}noptics and acoustics. We illustrate the versatility of underlying geometric transforms in order to{\textbackslash}nbridge wave phenomena (the different 'colours' of waves) ranging from transverse electric waves, to{\textbackslash}nlinear surface water waves at an air–fluid interface, to pressure waves in fluids and out-of-plane{\textbackslash}nshear waves in elastic media: these waves are all governed by a second order scalar partial{\textbackslash}ndifferential equation (PDE) invariant under geometric transform. Moreover, flexural waves{\textbackslash}npropagating in thin plates represent a very peculiar situation whereby the displacement field{\textbackslash}nsatisfies a fourth order scalar PDE which also retains its form under geometric transform (unlike{\textbackslash}nfor the Navier equation in elastodynamics). Control of flexural wave trajectories is illustrated{\textbackslash}nwith a multilayered cloak and a carpet. Interestingly, the colours of waves can be revealed through},
	number = {2},
	journal = {Journal of Optics},
	author = {Guenneau, Sébastien and McPhedran, Ross C and Enoch, Stefan and Movchan, Alexander B and Farhat, Mohamed and Nicorovici, Nicolae-Alexandru P},
	year = {2010},
	note = {ISBN: 2040-8978},
	pages = {024014},
}

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