Playing the tricks of numbers of light sources

J 2013

Playing the tricks of numbers of light sources

CHEN, Huanyang, Xu YADONG, Hui LI and Tomáš TYC

Basic information

Original name

Playing the tricks of numbers of light sources

Authors

CHEN, Huanyang (156 China, belonging to the institution), Xu YADONG (156 China, belonging to the institution), Hui LI (156 China) and Tomáš TYC (203 Czech Republic, guarantor, belonging to the institution)

Edition

New Journal of Physics, Velká Británie, IOP, 2013, 1367-2630

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10306 Optics

Country of publisher

United Kingdom of Great Britain and Northern Ireland

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

URL

Impact factor

Impact factor: 3.671

RIV identification code

RIV/00216224:14310/13:00066961

Organization unit

Faculty of Science

DOI

http://dx.doi.org/10.1088/1367-2630/15/9/093034

UT WoS

000324729000004

Keywords in English

transformation optics; complex numbers; Riemann sheets; branch cut

Abstract

ORIG CZ

V originále

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.

In Czech

V článku na základě transformační optiky navrhujeme zařízení, které vytváří optickou iluzi, že počet světelných zdrojů je jiný než ve skutečnosti. Zdánlivé zdroje interferují a tak vznikají zajímavé efekty. Návrh je založen na konkrétní víceznačné funkci komplexní proměnné. Metodu lze aplikovat i naopak a z více skutečných zdrojů zdánlivě vytvořit jeden. Fyzikální mechanismus funkce zařízení vysvětlujeme pomocí vlastností Riemannových listů a ukazujeme, jak odstranit singularity indexu lomu vhodnou optickou transmutací.

Links

GBP201/12/G028, research and development project

Name: Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku

Investor: Czech Science Foundation

Citovat

CHEN, Huanyang, Xu YADONG, Hui LI and Tomáš TYC. Playing the tricks of numbers of light sources. 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.

@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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