DOAJ Open Access 2023

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

Cheuk-Him Yeung William J. Parnell Tom Shearer

Lihat Sumber DOI

Abstrak

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.

Topik & Kata Kunci

Acoustics. Sound

Penulis (3)

Cheuk-Him Yeung

William J. Parnell

Tom Shearer

Format Sitasi

APA MLA BibTeX

Yeung, C., Parnell, W.J., Shearer, T. (2023). A three-dimensional active cloaking strategy for the Helmholtz equation that exploits the symmetry of the platonic solids. https://doi.org/10.1121/10.0019906

Akses Cepat

Lihat di Sumber doi.org/10.1121/10.0019906

Informasi Jurnal

Tahun Terbit: 2023
Sumber Database: DOAJ
DOI: 10.1121/10.0019906
Akses: Open Access ✓