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).
CASA comprises the chairs Scientiﬁc Computing (SC) and Applied Analysis (TA). CASA’s major research objective is to develop new and to improve existing mathematical (both analytical and numerical) methods for a wide range of applications in science and engineering.
In the lighting industry a revolution is taking place. Traditional light sources like incandescent, halogen and gas discharge are being replaced by (light emitting device) LED technology.
This new source technology allows the use of more advanced optical solutions. It is the topic of this project to create new methodologies to compute optics that will further enhance the properties of LED lighting.
For example, this project will allow the lighting industry to develop new optical designs with less glare, improved efﬁciency and new light effects.
Theoptics applied in illumination is nonimaging,in contrast to,e.g.,a camera lens whichis imaging. In nonimaging optics we study the transfer of light from a source to a target.
The standard simulation method for optical systems design is ray tracing. In this method, one computes the paths of a large collection of rays, subject to reﬂections and / or refractions, from source to target.
From the distribution of the rays in target space one can compute the target distribution. Subsequently,raytracinghastobeusedinatrial-and-errorproceduretodetermine the optimal layout of the system giving the desired light output.
Ray tracing is a rather slow procedure. However, employing the phase space representation of the optical system, one can considerably speed up the method.
In this representation, each ray intersecting an optical surface is speciﬁed by one or two space and direction coordinates, thus constituting a four-dimensional phase space.
In a previous project we developed phase space ray tracing for two-dimensional (one space and one direction coordinate) model systems characterised by a two-dimensional phase space, which proved to be much faster than classical ray tracing.
Thepurposeofthisresearchprojectis,ﬁrst,toextendthepreviouslydevelopedphasespace ray trace method to more realistic three-dimensional optical systems, characterized by a fourdimensional phase space, second, include Fresnel reﬂections, and third, parallelize the simulation code on a GPU.
Finally, the code developed should be used for design optimization.
As a PhD student your tasks are the following :
We are looking for talented, enthusiastic PhD candidates who meet the following requirements :
Conditions of employment