Transmutation of singularities in optical instruments

Tomas Tyc, Ulf Leonhardt

Research output: Contribution to journalArticlepeer-review

79 Citations (Scopus)


We propose a method for eliminating a class of singularities in optical media where the refractive index goes to zero or infinity at one or more isolated points. Employing transformation optics, we find a refractive index distribution equivalent to the original one that is nonsingular but shows a slight anisotropy. In this way, the original singularity is 'transmuted' into another, weaker type of singularity where the permittivity and permeability tensors are discontinuous at one point. The method is likely to find applications in designing and improving optical devices by making them easier to implement or to operate in a broad band of the spectrum.

Original languageEnglish
Article number115038
Number of pages8
JournalNew Journal of Physics
Publication statusPublished - 27 Nov 2008


Dive into the research topics of 'Transmutation of singularities in optical instruments'. Together they form a unique fingerprint.

Cite this