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

Cheuk Him Yeung, William Parnell, Tom Shearer

Research output: Contribution to journalArticlepeer-review

Abstract

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.
Original languageEnglish
Article number063601
JournalJASA Express Letters
Volume3
Issue number6
DOIs
Publication statusPublished - 29 Jun 2023

Keywords

  • Acoustical properties
  • Acoustic noise measurement
  • Acoustic waves
  • Cloaking devices
  • Convex geometry
  • Partial differential equations
  • Euler angles
  • Series expansion
  • Coordinate transformations
  • Nanolithography

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