### Abstract

Original language | English |
---|---|

Pages (from-to) | 3302-3304 |

Number of pages | 3 |

Journal | Optics Letters |

Volume | 30 |

Issue number | 24 |

DOIs | |

Publication status | Published - 2005 |

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### Cite this

*Optics Letters*,

*30*(24), 3302-3304. https://doi.org/10.1364/OL.30.003302

}

*Optics Letters*, vol. 30, no. 24, pp. 3302-3304. https://doi.org/10.1364/OL.30.003302

**Alternative representation of the linear canonical integral transform.** / Alieva, T.; Bastiaans, M.J.

Research output: Contribution to journal › Article › Academic › peer-review

TY - JOUR

T1 - Alternative representation of the linear canonical integral transform

AU - Alieva, T.

AU - Bastiaans, M.J.

PY - 2005

Y1 - 2005

N2 - Starting with the Iwasawa decomposition of a first-order optical system (or ABCD-system) as a cascade of a lens, a magnifier, and an ortho-symplectic system (a system that is both symplectic and orthogonal), a further decomposition of the ortho-symplectic system in the form of a separable fractional Fourier transformer embedded in between two spatial-coordinate rotators is proposed. The resulting decomposition of the entire first-order optical system then shows a physically attractive representation of the linear canonical integral transformation, which - in contrast to Collins integral - is valid for any ray transformation matrix.

AB - Starting with the Iwasawa decomposition of a first-order optical system (or ABCD-system) as a cascade of a lens, a magnifier, and an ortho-symplectic system (a system that is both symplectic and orthogonal), a further decomposition of the ortho-symplectic system in the form of a separable fractional Fourier transformer embedded in between two spatial-coordinate rotators is proposed. The resulting decomposition of the entire first-order optical system then shows a physically attractive representation of the linear canonical integral transformation, which - in contrast to Collins integral - is valid for any ray transformation matrix.

U2 - 10.1364/OL.30.003302

DO - 10.1364/OL.30.003302

M3 - Article

VL - 30

SP - 3302

EP - 3304

JO - Optics Letters

JF - Optics Letters

SN - 0146-9592

IS - 24

ER -