Cheuk-Him Yeung, William J. Parnell, Tom Shearer

A three-dimensional active cloaking strategy for the Helmholtz equation that exploits the symmetry of the platonic solids

  • Electrical and Electronic Engineering
  • Atomic and Molecular Physics, and Optics
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An active cloaking strategy for the scalar Helmholtz equation in three dimensions is developed by placing active sources at the vertices of Platonic solids. In each case, a “silent zone” is created interior to the Platonic solid and only the incident field remains in a defined region exterior to this zone. This distribution of sources ensures that implementation of the cloaking strategy is efficient: once the multipole source amplitudes at a single source location are determined, the other amplitudes are calculated by multiplying the multipole source vector by a rotation matrix. The technique is relevant to any scalar wave field.

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