The Lissajous Lens: A Three-Dimensional Absolute Optical
Instrument without Spherical Symmetry

J 2015

The Lissajous Lens: A Three-Dimensional Absolute Optical Instrument without Spherical Symmetry

DANNER, Aaron James, H. L. DAO a Tomáš TYC

Základní údaje

Originální název

The Lissajous Lens: A Three-Dimensional Absolute Optical Instrument without Spherical Symmetry

Název česky

Lissajousova čočka: trojrozměrný absolutní instrument bez sférické symetrie

Autoři

DANNER, Aaron James (840 Spojené státy), H. L. DAO (702 Singapur) a Tomáš TYC (203 Česká republika, garant, domácí)

Vydání

Optics Express, elektronicky, Optical Society of America, 2015, 1094-4087

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10306 Optics

Stát vydavatele

Spojené státy

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL

Impakt faktor

Impact factor: 3.148

Kód RIV

RIV/00216224:14310/15:00081607

Organizační jednotka

Přírodovědecká fakulta

DOI

http://dx.doi.org/10.1364/OE.23.005716

UT WoS

000350878500031

Klíčová slova anglicky

absolute optical instrument; perfect imaging; Lissajous curves; geodesics

Štítky

AKR, rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 13. 3. 2018 13:24, prof. Mgr. Tomáš Tyc, Ph.D.

Anotace

V originále

We propose a three dimensional optical instrument with an isotropic gradient index in which all ray trajectories form Lissajous curves. The lens represents the first absolute optical instrument discovered to exist without spherical symmetry (other than trivial cases such as the plane mirror or conformal maps of spherically-symmetric lenses). An important property of this lens is that a three-dimensional region of space can be imaged stigmatically with no aberrations, with a point and its image not necessarily lying on a straight line with the lens center as in all other absolute optical instruments. In addition, rays in the Lissajous lens are not confined to planes. The lens can optionally be designed such that no rays except those along coordinate axes form closed trajectories, and conformal maps of the Lissajous lens form a rich new class of optical instruments.

Návaznosti

GBP201/12/G028, projekt VaV

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

Investor: Grantová agentura ČR, Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku

Citovat

DANNER, Aaron James, H. L. DAO a Tomáš TYC. The Lissajous Lens: A Three-Dimensional Absolute Optical Instrument without Spherical Symmetry. Optics Express. elektronicky: Optical Society of America, 2015, roč. 23, č. 5, s. 5716-5722. ISSN 1094-4087. Dostupné z: https://dx.doi.org/10.1364/OE.23.005716.

@article{1336409,
   author = {Danner, Aaron James and Dao, H. L. and Tyc, Tomáš},
   article_location = {elektronicky},
   article_number = {5},
   doi = {http://dx.doi.org/10.1364/OE.23.005716},
   keywords = {absolute optical instrument; perfect imaging; Lissajous curves; geodesics},
   language = {eng},
   issn = {1094-4087},
   journal = {Optics Express},
   title = {The Lissajous Lens: A Three-Dimensional Absolute Optical Instrument without Spherical Symmetry},
   url = {https://www.osapublishing.org/oe/abstract.cfm?uri=oe-23-5-5716},
   volume = {23},
   year = {2015}
}

TY  - JOUR
ID  - 1336409
AU  - Danner, Aaron James - Dao, H. L. - Tyc, Tomáš
PY  - 2015
TI  - The Lissajous Lens: A Three-Dimensional Absolute Optical Instrument without Spherical Symmetry
JF  - Optics Express
VL  - 23
IS  - 5
SP  - 5716-5722
EP  - 5716-5722
PB  - Optical Society of America
SN  - 10944087
KW  - absolute optical instrument
KW  - perfect imaging
KW  - Lissajous curves
KW  - geodesics
UR  - https://www.osapublishing.org/oe/abstract.cfm?uri=oe-23-5-5716
N2  - We propose a three dimensional optical instrument with an isotropic gradient index in which all ray trajectories form Lissajous curves. The lens represents the first absolute optical instrument discovered to exist without spherical symmetry (other than trivial cases such as the plane mirror or conformal maps of spherically-symmetric lenses). An important property of this lens is that a three-dimensional region of space can be imaged stigmatically with no aberrations, with a point and its image not necessarily lying on a straight line with the lens center as in all other absolute optical instruments. In addition, rays in the Lissajous lens are not confined to planes. The lens can optionally be designed such that no rays except those along coordinate axes form closed trajectories, and conformal maps of the Lissajous lens form a rich new class of optical instruments.
ER  -

DANNER, Aaron James, H. L. DAO a Tomáš TYC. The Lissajous Lens: A Three-Dimensional Absolute Optical Instrument without Spherical Symmetry. \textit{Optics Express}. elektronicky: Optical Society of America, 2015, roč.~23, č.~5, s.~5716-5722. ISSN~1094-4087. Dostupné z: https://dx.doi.org/10.1364/OE.23.005716.

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