### Abstract

Language | English |
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Title of host publication | Numerical Mathematics and Advanced Applications ENUMATH 2017 |

Editors | F.A. Radu, K. Kumar, I. Berre, J.M. Nordbotten, I.S. Pop |

Place of Publication | Cham |

Publisher | Springer |

Pages | 311-319 |

Number of pages | 9 |

ISBN (Electronic) | 978-3-319-96415-7 |

ISBN (Print) | 978-3-319-96414-0 |

DOIs | |

State | Published - 2019 |

Event | European Conference on Numerical Mathematics and Advanced Applications 2017 - Duration: 25 Sep 2017 → 29 Sep 2017 |

### Publication series

Name | Lecture Notes in Computational Science and Engineering |
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Publisher | Springer |

Volume | 126 |

### Conference

Conference | European Conference on Numerical Mathematics and Advanced Applications 2017 |
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Abbreviated title | ENUMATH 2017 |

Period | 25/09/17 → 29/09/17 |

### Fingerprint

### Cite this

*Numerical Mathematics and Advanced Applications ENUMATH 2017*(pp. 311-319). (Lecture Notes in Computational Science and Engineering; Vol. 126). Cham: Springer. DOI: 10.1007/978-3-319-96415-7_27

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*Numerical Mathematics and Advanced Applications ENUMATH 2017.*Lecture Notes in Computational Science and Engineering, vol. 126, Springer, Cham, pp. 311-319, European Conference on Numerical Mathematics and Advanced Applications 2017, 25/09/17. DOI: 10.1007/978-3-319-96415-7_27

**Solving inverse illumination problems with Liouville's equation.** / van Lith, B.S.; ten Thije Boonkkamp, J.H.M.; IJzerman, W.L.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Solving inverse illumination problems with Liouville's equation

AU - van Lith,B.S.

AU - ten Thije Boonkkamp,J.H.M.

AU - IJzerman,W.L.

PY - 2019

Y1 - 2019

N2 - We aim to solve inverse problems in illumination optics by means of optimal control theory. This is done by first formulating geometric optics in terms of Liouville’s equation, which governs the evolution of light distributions on phase space. Choosing a metric that measures how close one distribution is to another, the formal Lagrange method can be applied. We show that this approach has great potential by a simple numerical example of an ideal lens.

AB - We aim to solve inverse problems in illumination optics by means of optimal control theory. This is done by first formulating geometric optics in terms of Liouville’s equation, which governs the evolution of light distributions on phase space. Choosing a metric that measures how close one distribution is to another, the formal Lagrange method can be applied. We show that this approach has great potential by a simple numerical example of an ideal lens.

U2 - 10.1007/978-3-319-96415-7_27

DO - 10.1007/978-3-319-96415-7_27

M3 - Conference contribution

SN - 978-3-319-96414-0

T3 - Lecture Notes in Computational Science and Engineering

SP - 311

EP - 319

BT - Numerical Mathematics and Advanced Applications ENUMATH 2017

PB - Springer

CY - Cham

ER -