### Abstract

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

Pages (from-to) | 52-55 |

Number of pages | 4 |

Journal | Optics Communications |

Volume | 272 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2007 |

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### Cite this

*Optics Communications*,

*272*(1), 52-55. https://doi.org/10.1016/j.optcom.2006.11.003

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*Optics Communications*, vol. 272, no. 1, pp. 52-55. https://doi.org/10.1016/j.optcom.2006.11.003

**First-order optical systems with real eigenvalues.** / Bastiaans, M.J.; Alieva, T.

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

TY - JOUR

T1 - First-order optical systems with real eigenvalues

AU - Bastiaans, M.J.

AU - Alieva, T.

PY - 2007

Y1 - 2007

N2 - It is shown that a lossless first-order optical system whose real symplectic ray transformation matrix can be diagonalized and has only real eigenvalues, is similar to a separable hyperbolic expander in the sense that the respective ray transformation matrices are related by means of a similarity transformation. Moreover, it is shown how eigenfunctions of such a system can be determined, based on the fact that simple powers are eigenfunctions of a separable magnifier. As an example, a set of eigenfunctions of a hyperbolic expander is determined and the resemblance between these functions and the well-known Hermite–Gauss modes is exploited.

AB - It is shown that a lossless first-order optical system whose real symplectic ray transformation matrix can be diagonalized and has only real eigenvalues, is similar to a separable hyperbolic expander in the sense that the respective ray transformation matrices are related by means of a similarity transformation. Moreover, it is shown how eigenfunctions of such a system can be determined, based on the fact that simple powers are eigenfunctions of a separable magnifier. As an example, a set of eigenfunctions of a hyperbolic expander is determined and the resemblance between these functions and the well-known Hermite–Gauss modes is exploited.

U2 - 10.1016/j.optcom.2006.11.003

DO - 10.1016/j.optcom.2006.11.003

M3 - Article

VL - 272

SP - 52

EP - 55

JO - Optics Communications

JF - Optics Communications

SN - 0030-4018

IS - 1

ER -