TL;DR
This paper presents methods for designing wave-focusing materials by embedding small particles, including calculations for particle distribution and solving an inverse scattering problem for acoustic waves.
Contribution
It introduces a novel approach to create wave-focusing materials through particle injection and solves the inverse scattering problem for fixed parameters.
Findings
Calculated the number of particles needed for wave focusing
Formulated and solved an inverse scattering problem
Provided theoretical framework for material design
Abstract
Basic ideas for creating wave-focusing materials by injecting small particles in a given material are described. The number of small particles to be injected around any point is calculated. Inverse scattering problem with fixed wavenumber and fixed incident direction of the plane acoustic wave is formulated and solved.
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