Optical triangulations of curved spaces

J 2020

Optical triangulations of curved spaces

GARCIA, Dimitris G.; Gregory J. CHAPLAIN; Jakub BĚLÍN; Tomáš TYC; Christoph ENGLERT et. al.

Basic information

Original name

Optical triangulations of curved spaces

Authors

GARCIA, Dimitris G.; Gregory J. CHAPLAIN; Jakub BĚLÍN (703 Slovakia); Tomáš TYC (203 Czech Republic, guarantor, belonging to the institution); Christoph ENGLERT and Johannes Klaus COURTIAL (276 Germany)

Edition

Optica, Washington, D.C. Optical Society of America, 2020, 2334-2536

Other information

Language

English

Type of outcome

Article in a journal

Field of Study

10306 Optics

Country of publisher

United States of America

Confidentiality degree

is not subject to a state or trade secret

References:

URL

Impact factor

Impact factor: 11.104

RIV identification code

RIV/00216224:14310/20:00115536

Organization unit

Faculty of Science

DOI

https://doi.org/10.1364/OPTICA.378357

UT WoS

000521643000010

EID Scopus

2-s2.0-85079657576

Keywords in English

curved spaces; deficit angle; optical simulation

Abstract

In the original language

Not only do curved spaces fascinate scientists and non-scientists, but they are also at the heart of general relativity and modern theories of quantum gravity. Optical systems can provide models for the wave and quantum behavior of curved spaces. Here we show how to construct optical systems that simulate triangulations of 3D curved spaces, for example, the curved 3D surface of a 4D hypersphere. Our work offers a new approach to the optical simulation of curved spaces, and has the potential to lead to new ways of thinking about physics in curved spaces and simulating otherwise inaccessible phenomena in non-Euclidean geometries.

Cite

GARCIA, Dimitris G.; Gregory J. CHAPLAIN; Jakub BĚLÍN; Tomáš TYC; Christoph ENGLERT and Johannes Klaus COURTIAL. Optical triangulations of curved spaces. Optica. Washington, D.C.: Optical Society of America, 2020, vol. 7, No 2, p. 142-147. ISSN 2334-2536. Available from: https://doi.org/10.1364/OPTICA.378357.

@article{1646139,
   author = {Garcia, Dimitris G. and Chaplain, Gregory J. and Bělín, Jakub and Tyc, Tomáš and Englert, Christoph and Courtial, Johannes Klaus},
   article_location = {Washington, D.C.},
   article_number = {2},
   doi = {https://doi.org/10.1364/OPTICA.378357},
   keywords = {curved spaces; deficit angle; optical simulation},
   language = {eng},
   issn = {2334-2536},
   journal = {Optica},
   title = {Optical triangulations of curved spaces},
   url = {https://www.osapublishing.org/optica/abstract.cfm?uri=optica-7-2-142},
   volume = {7},
   year = {2020}
}

TY  - JOUR
ID  - 1646139
AU  - Garcia, Dimitris G. - Chaplain, Gregory J. - Bělín, Jakub - Tyc, Tomáš - Englert, Christoph - Courtial, Johannes Klaus
PY  - 2020
TI  - Optical triangulations of curved spaces
JF  - Optica
VL  - 7
IS  - 2
SP  - 142-147
EP  - 142-147
PB  - Optical Society of America
SN  - 23342536
KW  - curved spaces
KW  - deficit angle
KW  - optical simulation
UR  - https://www.osapublishing.org/optica/abstract.cfm?uri=optica-7-2-142
L2  - https://www.osapublishing.org/optica/abstract.cfm?uri=optica-7-2-142
N2  - Not only do curved spaces fascinate scientists and non-scientists, but they are also at the heart of general relativity and modern theories of quantum gravity. Optical systems can provide models for the wave and quantum behavior of curved spaces. Here we show how to construct optical systems that simulate triangulations of 3D curved spaces, for example, the curved 3D surface of a 4D hypersphere. Our work offers a new approach to the optical simulation of curved spaces, and has the potential to lead to new ways of thinking about physics in curved spaces and simulating otherwise inaccessible phenomena in non-Euclidean geometries.
ER  -

GARCIA, Dimitris G.; Gregory J. CHAPLAIN; Jakub BĚLÍN; Tomáš TYC; Christoph ENGLERT and Johannes Klaus COURTIAL. Optical triangulations of curved spaces. \textit{Optica}. Washington, D.C.: Optical Society of America, 2020, vol.~7, No~2, p.~142-147. ISSN~2334-2536. Available from: https://doi.org/10.1364/OPTICA.378357.

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