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@article{1168164,
author = {Chen, Huanyang and Yadong, Xu and Li, Hui and Tyc, Tomáš},
article_location = {Velká Británie},
article_number = {093034},
doi = {http://dx.doi.org/10.1088/1367-2630/15/9/093034},
keywords = {transformation optics; complex numbers; Riemann sheets; branch cut},
language = {eng},
issn = {1367-2630},
journal = {New Journal of Physics},
title = {Playing the tricks of numbers of light sources},
url = {http://iopscience.iop.org/1367-2630/15/9/093034},
volume = {15},
year = {2013}
}
TY - JOUR
ID - 1168164
AU - Chen, Huanyang - Yadong, Xu - Li, Hui - Tyc, Tomáš
PY - 2013
TI - Playing the tricks of numbers of light sources
JF - New Journal of Physics
VL - 15
IS - 093034
SP - 1-14
EP - 1-14
PB - IOP
SN - 13672630
KW - transformation optics
KW - complex numbers
KW - Riemann sheets
KW - branch cut
UR - http://iopscience.iop.org/1367-2630/15/9/093034
L2 - http://iopscience.iop.org/1367-2630/15/9/093034
N2 - 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.
ER -
CHEN, Huanyang, Xu YADONG, Hui LI and Tomáš TYC. Playing the tricks of numbers of light sources. \textit{New Journal of Physics}. Velká Británie: IOP, 2013, vol.~15, No~093034, p.~1-14. ISSN~1367-2630. Available from: https://dx.doi.org/10.1088/1367-2630/15/9/093034.
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