Abstract
It is always a challenge to realize extreme and unusual values of refractive index for a broad range of frequencies. We show that when water is covered by a thick, rigid and unmovable plate, it behaves like a medium with zero refractive index for water waves at any frequency. Hence, by covering water with a plate of a concave or rectangular shape, water waves can be focused or collimated in a broad range of frequencies. Experiments were conducted to demonstrate these effects and results are in excellent agreement with numerical simulations.
Highlights
IntroductionZero index of refraction is a useful concept for wave manipulation and has recently attracted much attention[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]
In the above experiments, the focusing and collimation effects were demonstrated by using a plates with size larger than the water depth
We note that the effects can be realized by using a plate that has a size smaller than the water depth but larger than the wavelength
Summary
Zero index of refraction is a useful concept for wave manipulation and has recently attracted much attention[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]. We theoretically and experimentally show that by covering water with a rigid and unmovable plate, a zero wavenumber and zero refractive index can be created for water waves at any frequency. As a result, interesting phenomena such as focusing and collimation of broadband water waves can be further realized by using different shapes of plates
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