PhD Project Freeform Optics with Scattering at Eindhoven University of Technology

Eindhoven University of Technology is pleased to invite applicants to apply for a new opening PhD position in computer science. Applications will be evaluated immediately.

PhD project Scientific Computing / Illumination Optics Freeform optics with scattering. The Department of Mathematics and Computer Science of Eindhoven University of Technology has a vacancy for a PhD-student in its Centre for Analysis, Scientific computing and Applications (CASA).

The Department of Mathematics and Computer Science of Eindhoven University of Technologyhas a vacancy for a PhD-student in its Centre for Analysis, Scientific computingand Applications (CASA). CASA comprises the chairs Scientific Computing (SC) andApplied Analysis (TA). Its major research objective is to develop new and to improveexisting mathematical (both analytical and numerical) methods for a wide range of applicationsin science and engineering.

Illumination optics plays an important role in modern society. Products like mobilephones, lamps, car headlights, road lighting and even satellites all utilize illuminationoptics. A good optical design determines, for example, the energy efficiency of illuminationdevices, the minimization of light pollution or the sensitivity of sensors in satellites.

The design of novel, sophisticated optical systems requires advances in the mathematicaldescription and numerical simulation methods for these systems. The optics applied in illumination is nonimaging, in contrast to for example a cameralens which is imaging. In nonimaging optics we study the transfer of light from a sourceto a target. The key problem is to design optical systems that convert a given sourceintensity into a desired target intensity.

A modern trend in illumination optics is to use scattering elements in addition to commonlyused refractive (lenses) or reflective (mirrors) optical components. For example,in LED lighting systems scattering surfaces are used to hide too bright light sources andto redistribute the light. The physical description of scattering surfaces, on the one hand,and refractive/reflective surfaces, on the other hand, is quite different.

To bridge the gap between the corresponding subdisciplines scattering and geometricaloptics, an NWO/TTW perspectief project was proposed by UT, TU Delft and TU/e,called Free-Form Scattering Optics. This proposal is supported by leading parties in the illuminationindustry: TNO, ASML, Signify, Lumileds, Demcon and Schott. In this project12 PhD students work on different topics related to a) the fundamentals of scattering, b)the fundamentals of free-form optics, c) homogenization and diffusion and d) control thedirection of light by interference.

This PhD project relates to the work package c) homogenization and diffusion.

Scattering optics studies the propagation of light through opaque media containing microscopic particles or the interaction with diffuse surfaces. When, for example, a light rayhits a diffuse reflector, the incoming ray is transmitted into a fan of outgoing rays.

In this research project, we consider light scattering combined with free-form optics.In this case, there is obviously not a one-to-one correspondence between source and targetvia the optical map. The computation of free-form surfaces proceeds in two stages. Inthe first stage, a perfect reflective or refractive surface is computed ignoring light scattering, that creates a target distribution. Adding scattering to the system, the new targetdistribution is the convolution of the scatter profile and the original target distribution. Inthe second stage, the desired target distribution is computed from a de-convolution procedure.The purpose of this research project is to develop sophisticated numerical solution

methods for the computation of free-form surfaces for scattering devices, and to applythese methods to some relevant test cases. As a PhD student your tasks are the following:

We are looking for talented, enthusiastic PhD candidates who meet the following requirements:

The application should consist of the following parts:


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