Publication details

Playing the tricks of numbers of light sources

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CHEN Huanyang YADONG Xu LI Hui TYC Tomáš

Year of publication 2013
Type Article in Periodical
Magazine / Source New Journal of Physics
MU Faculty or unit

Faculty of Science

Field Optics, masers and lasers
Keywords transformation optics; complex numbers; Riemann sheets; branch cut
Description Transformation optics has demonstrated its ability to design various novel devices, for example, to change objects' sizes, positions or even shapes. This time we come to another magical manipulation: to change the numbers of sources. In this paper, we will design a new class of gradient index lenses from multivalued optical conformal mapping. We shall call them the conformal lenses. Such lenses can make one active source appear omnidirectionally as two (or many) in-phase sources, each interfering with others. As a self-interference phenomenon, this has not been discussed before. Meanwhile, they can transform multiple in-phase sources into one. Other intriguing illusion effects are also demonstrated. Based on the Riemann sheet analysis, the physics mechanism of such effects are well explained. Finally, we apply transmutation methods to design lenses without any singular material parameters.
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