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

  • 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

  • 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

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Summary

Introduction

The images or other third party material in this article are included in the article's Creative. Unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/. If it is the author’s pre-published version, changes introduced as a result of publishing processes such as copy-editing and formatting may not be reflected in this document. Broadband focusing and collimation of water waves by zero refractive index Chi Zhang[1], C. It is always a challenge to realize extreme and unusual values of refractive index for a broad range of frequencies

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