Cloaking and magnifying using radial anisotropy

Henrik Kettunen, Henrik Wallén, Ari Sihvola

Research output: Contribution to journalArticleScientificpeer-review

27 Citations (Scopus)
23 Downloads (Pure)


This paper studies the electrostatic responses of a polarly radially anisotropic cylinder and a spherically radially anisotropic sphere. For both geometries, the permittivity components differ from each other in the radial and tangential directions. We show that choosing the ratio between these components in a certain way, these rather simple structures can be used in cloaking dielectric inclusions with arbitrary permittivity and shape in the quasi-static limit. For an ideal cloak, the contrast between the permittivity components has to tend to infinity. However, only positive permittivity values are required and a notable cloaking effect can already be observed with relatively moderate permittivity contrasts. Furthermore, we show that the polarly anisotropic cylindrical shell has a complementary capability of magnifying the response of an inner cylinder.
Original languageEnglish
Article number044110
Pages (from-to)1-9
JournalJournal of Applied Physics
Issue number4
Publication statusPublished - 2013
MoE publication typeA1 Journal article-refereed


Dive into the research topics of 'Cloaking and magnifying using radial anisotropy'. Together they form a unique fingerprint.

Cite this