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- W2185005296 abstract "The term ‘cloaking’ in the linearised water wave context has been used to describe the process by which a structure subject to small amplitude time-harmonic incident waves is rendered invisible to the observer in the far field by the addition to/alteration of the geometry in a finite region outside that structure. Thus, the cloaked structure is designed to scatter no wave energy in any polar direction and the far-field observer sees only the incident wave field. Porter & Newman (2014) have provided compelling numerical evidence that a vertical circular cylinder extending uniformly throughout the depth can be cloaked using an annular region of variable bathymetry, whilst Newman (2014) has explored the use of circular arrangements of surface-piercing cylinders to cloak a central vertical cylinder. In this paper our main consideration is the related two-dimensional problem. Now a system of fixed or, perhaps, moving two-dimensional structures is said to be cloaked in small amplitude time harmonic water waves if there is no reflected wave and the amplitude and phase of the transmitted wave is the same as that of the incident wave. That is, the structures appear transparent to the incident wave field when observed in the far-field. The purpose of this work is two-fold: (i) to provide general conditions under which cloaking cannot be achieved; and (ii) to provide numerical examples of cloaking. Theoretical results will be presented below for an infinite depth fluid but their generalisation to a fluid of constant finite depth is also possible." @default.
- W2185005296 created "2016-06-24" @default.
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- W2185005296 date "2014-01-01" @default.
- W2185005296 modified "2023-09-26" @default.
- W2185005296 title "Transparency of structures in water waves" @default.
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