Solving Inverse Illumination Problems with Liouville’s Equation
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.
B.S. van Lith wishes to thank J.H.M. ten Thije Boonkkamp for presenting the work in Norway in his stead.
- 7.B.S. van Lith, Principles of computational illumination optics. PhD thesis, TU/e (2017)Google Scholar