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 language | English |
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Article number | 063601 |
Journal | JASA Express Letters |
Volume | 3 |
Issue number | 6 |
DOIs | |
Publication status | Published - 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