Cloaking Liquid Surface Waves and Plasmon Polaritons

In this chapterCloaking, we useLiquid surface waves analogies between the governing equations for linear surface liquid wavesWaves (LSWs) and surface plasmon polaritons (SPPs) in order to control their trajectories using geometric transformsGeometric transform. These two routes towards cloakingCloaking are emerging areas of physics known as transformational acousticsAcoustics and plasmonicsPlasmonics. We first analyze cloakingCloaking of LSWs propagating through a circular cloakCloak, which consists of concentric layers cut into a large number of small sectors with rigid pillars. This water waveWaves cloakCloak behaves as an effective anisotropicAnisotropic fluidFluid. We experimentally observe the decreased backscattering around the frequencyFrequency 10 Hz of a fluidFluid with low viscosityViscosity and finite densityDensity (Methoxynonafluorobutane) from a cylindrical rigid obstacle surrounded by the cloakCloak when it is located a couple of wavelengths away from the acoustic sourceAcoustic source. We then study theoretically, and numerically, the cloakingCloaking of SPPs propagating on a structured metal surface, and we manufacture and experimentally validate a plasmonicPlasmonics carpet working in the visible spectrum using dielectricDielectric plots of TiO2 arranged along a quasi-conformal grid on a metal platePlate. Finally, we discuss control of surface seismic waves in structured soils performed by the civil engineering team of Stéphane Brûlé at Ménard in 2012 and by the geophysics team of Philippe Roux at ISTERRE in 2016, which are based on analogies with governing equations for LSWs and SPPs.