### Uittreksel

Taal | Engels |
---|---|

Titel | Linear Canonical Transforms: Theory and Applications |

Redacteuren | J.J. Healy, M.A. Kutay, H.M. Ozaktas, J.T. Sheridan |

Plaats van productie | New York |

Uitgeverij | Springer |

Pagina's | 113-178 |

Aantal pagina's | 66 |

ISBN van elektronische versie | 978-1-4939-3028-9 |

ISBN van geprinte versie | 978-1-4939-3027-2 |

DOI's | |

Status | Gepubliceerd - 2016 |

### Publicatie series

Naam | Springer Series in Optical Sciences |
---|---|

Uitgeverij | Springer |

Volume | 198 |

ISSN van geprinte versie | 0342-4111 |

### Vingerafdruk

### Citeer dit

*Linear Canonical Transforms: Theory and Applications*(blz. 113-178). [5] (Springer Series in Optical Sciences; Vol. 198). New York: Springer. DOI: 10.1007/978-1-4939-3028-9_5

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*Linear Canonical Transforms: Theory and Applications.*, 5, Springer Series in Optical Sciences, vol. 198, Springer, New York, blz. 113-178. DOI: 10.1007/978-1-4939-3028-9_5

**The linear canonical transformations in classical optics.** / Alieva, Tatiana; Rodrigo, José A.; Cámara, Alejandro ; Bastiaans, Martin J.

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Hoofdstuk › Academic › peer review

TY - CHAP

T1 - The linear canonical transformations in classical optics

AU - Alieva,Tatiana

AU - Rodrigo,José A.

AU - Cámara,Alejandro

AU - Bastiaans,Martin J.

PY - 2016

Y1 - 2016

N2 - In this chapter we consider the application of the linear canonical transformations (LCTs) for the description of light propagation through optical systems. It is shown that the paraxial approximation of ray and wave optics leads to matrix and integral forms of the two-dimensional LCTs. The LCT description of the first-order optical systems consisting of basic optical elements: lenses, mirrors, homogeneous and quadratic refractive index medium intervals and their compositions is discussed. The applications of these systems for the characterization of the completely and partially coherent monochromatic light are considered. For this purpose the phase space beam representation in the form of the Wigner distribution (WD), which reveals local beam coherence properties, is used. The phase space tomography method of the WD reconstruction is discussed. The physical meaning and application of the second-order WD moments for global beam analysis, classification, and comparison are reviewed. At the similar way optical systems used for manipulation and characterization of optical pulses are described by the one-dimensional LCTs.

AB - In this chapter we consider the application of the linear canonical transformations (LCTs) for the description of light propagation through optical systems. It is shown that the paraxial approximation of ray and wave optics leads to matrix and integral forms of the two-dimensional LCTs. The LCT description of the first-order optical systems consisting of basic optical elements: lenses, mirrors, homogeneous and quadratic refractive index medium intervals and their compositions is discussed. The applications of these systems for the characterization of the completely and partially coherent monochromatic light are considered. For this purpose the phase space beam representation in the form of the Wigner distribution (WD), which reveals local beam coherence properties, is used. The phase space tomography method of the WD reconstruction is discussed. The physical meaning and application of the second-order WD moments for global beam analysis, classification, and comparison are reviewed. At the similar way optical systems used for manipulation and characterization of optical pulses are described by the one-dimensional LCTs.

U2 - 10.1007/978-1-4939-3028-9_5

DO - 10.1007/978-1-4939-3028-9_5

M3 - Chapter

SN - 978-1-4939-3027-2

T3 - Springer Series in Optical Sciences

SP - 113

EP - 178

BT - Linear Canonical Transforms: Theory and Applications

PB - Springer

CY - New York

ER -