### Abstract

Language | English |
---|---|

Pages | 9071-9076 |

Number of pages | 5 |

Journal | Optics Express |

Volume | 14 |

Issue number | 20 |

DOIs | |

Publication status | Published - 2 Oct 2006 |

### Fingerprint

### Keywords

- physics
- optics
- fourier relationship
- light
- photons
- angular momentum
- beam
- aperture

### Cite this

*Optics Express*,

*14*(20), 9071-9076. https://doi.org/10.1364/OE.14.009071

}

*Optics Express*, vol. 14, no. 20, pp. 9071-9076. https://doi.org/10.1364/OE.14.009071

**Fourier relationship between angular position and optical orbital angular momentum.** / Yao, Eric; Franke-Arnold, Sonja; Courtial, Johannes; Barnett, Stephen M.; Padgett, Miles.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Fourier relationship between angular position and optical orbital angular momentum

AU - Yao, Eric

AU - Franke-Arnold, Sonja

AU - Courtial, Johannes

AU - Barnett, Stephen M.

AU - Padgett, Miles

PY - 2006/10/2

Y1 - 2006/10/2

N2 - We demonstrate the Fourier relationship between angular position and angular momentum for a light mode. In particular we measure the distribution of orbital angular momentum states of light that has passed through an aperture and verify that the orbital angular momentum distribution is given by the complex Fourier-transform of the aperture function. We use spatial light modulators, configured as diffractive optical components, to define the initial orbital angular momentum state of the beam, set the defining aperture, and measure the angular momentum spread of the resulting beam. These measurements clearly confirm the Fourier relationship between angular momentum and angular position, even at light intensities corresponding to the single photon level.

AB - We demonstrate the Fourier relationship between angular position and angular momentum for a light mode. In particular we measure the distribution of orbital angular momentum states of light that has passed through an aperture and verify that the orbital angular momentum distribution is given by the complex Fourier-transform of the aperture function. We use spatial light modulators, configured as diffractive optical components, to define the initial orbital angular momentum state of the beam, set the defining aperture, and measure the angular momentum spread of the resulting beam. These measurements clearly confirm the Fourier relationship between angular momentum and angular position, even at light intensities corresponding to the single photon level.

KW - physics

KW - optics

KW - fourier relationship

KW - light

KW - photons

KW - angular momentum

KW - beam

KW - aperture

UR - http://arxiv.org/PS_cache/physics/pdf/0606/0606142v1.pdf

U2 - 10.1364/OE.14.009071

DO - 10.1364/OE.14.009071

M3 - Article

VL - 14

SP - 9071

EP - 9076

JO - Optics Express

T2 - Optics Express

JF - Optics Express

SN - 1094-4087

IS - 20

ER -