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20 September 2008 Optimization, sensitivity analysis, and robust design using response surface modeling
Egbert Lenderink, Peter Stehouwer
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Proceedings Volume 7103, Illumination Optics; 710302 (2008) https://doi.org/10.1117/12.797649
Event: Optical Systems Design, 2008, Glasgow, Scotland, United Kingdom
Abstract
Response surface modeling (RSM) is described as a tool to perform optimizations and sensitivity analysis in optical modeling. With this method, the behavior of the system is first mapped out using a limited set of ray-tracing simulations, carefully spanning the full parameter space. This can already be done before the full merit function is known. The relation between design parameters and system performance is then approximated by fitting the simulation results to functional forms. All subsequent optimizations are then performed very time-efficiently on the functional descriptions of the dependencies. This contrasts with direct optimization, where the computationally intensive optical modeling is in the loop of the optimization algorithm, and where changes in merit function, mapping out trade-offs, and determining sensitivities, are very time consuming. The paper will discuss the advantages of RSM with respect to direct optimization and give recommendations for the type of problems that are preferentially addressed by RSM. The method will be illustrated by a case: how optical simulations were used in the design of LumiramicTM phosphor conversion components for LEDs.
© (2008) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
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Egbert Lenderink and Peter Stehouwer "Optimization, sensitivity analysis, and robust design using response surface modeling", Proc. SPIE 7103, Illumination Optics, 710302 (20 September 2008); https://doi.org/10.1117/12.797649
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KEYWORDS
Optimization (mathematics)
Light emitting diodes
Computer simulations
Optical simulations
Ray tracing
Scattering
Absorption
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