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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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