Source amplitudes for active exterior cloaking

Andrew N. Norris, Feruza A. Amirkulova, William J. Parnell

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


The active cloak comprises a discrete set of multipole sources that destructively interfere with an incident time harmonic scalar wave to produce zero total field over a finite spatial region. For a given number of sources and their positions in two dimensions it is shown that the multipole amplitudes can be expressed as infinite sums of the coefficients of the incident wave decomposed into regular Bessel functions. The field generated by the active sources vanishes in the infinite region exterior to a set of circles defined by the relative positions of the sources. The results provide a direct solution to the inverse problem of determining the source amplitudes. They also define a broad class of nonradiating discrete sources.

Original languageEnglish (US)
Article number105002
JournalInverse Problems
Issue number10
StatePublished - Oct 2012

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Signal Processing
  • Mathematical Physics
  • Computer Science Applications
  • Applied Mathematics


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