Water Wave Focusing Using Coordinate Transformation -David Publishing Company
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1. Department of Naval Architecture and Ocean Engineering, Osaka University, Osaka 5650871, Japan
2. Research Fellow (DC1) of Japan Society for the Promotion of Science, Osaka 5650871, Japan


In this paper, wave focusing based on a coordinate transformation is proposed. It is known that the 2-dimensional wave equation which governs a shallow water problem in a potential theory can keep invariance under coordinate transformation. Once equivalent medium parameters are obtained so as to keep the invariance, wave rays can be arbitrarily designed. We show the design of equivalent medium for wave squeezing to focus waves on a specific domain. Numerical computations are carried out by a finite element based software COMSOL Multiphysics. Results show good agreement between predictions from the theory and computations. It can be applied for a wide range of frequency because the proposed method is able to be applied regardless of the frequency.


Coordinate transformation, wave focusing, shallow water.

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