Using Newton's method to model a spatial light distribution of a LED with attached secondary optics

摘要

In design of optical systems based on LED (Light emitting diode) technology,a crucial task is to handle the unstructured data describing properties ofoptical elements in standard formats. This leads to the problem of data fittingwithin an appropriate model. Newton's method is used as an upgrade ofpreviously developed most promising discrete optimization heuristics showingimprovement of both performance and quality of solutions. Experiment alsoindicates that a combination of an algorithm that finds promising initialsolutions as a preprocessor to Newton's method may be a winning idea, at leaston some datasets of instances.