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

TL;DR

This paper applies Newton's method to model the spatial light distribution of LEDs with secondary optics, improving data fitting and optimization performance in optical system design.

Contribution

It introduces Newton's method as an enhancement over existing heuristics for data fitting in LED optical modeling, with a combined approach for better results.

Findings

Newton's method improves optimization quality and speed

Preprocessing with initial solution algorithms enhances outcomes

Potential for better LED optical system design tools

Abstract

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