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Function fitting the symmetric radiation pattern of a LED with attached secondary optic
Optics Express
|January 22, 2015
Summary
A modified analytical model accurately describes light emitted from LEDs with secondary optics. Optimization algorithms like genetic algorithms achieve good fitting for symmetric radiation patterns.
Area of Science:
- Optics and Photonics
- Solid-State Lighting
Background:
- Analytical models are crucial for predicting light distribution from Light Emitting Diodes (LEDs).
- Secondary optics significantly influence the radiation pattern of LEDs.
Purpose of the Study:
- To adapt and validate the Moreno and Sun analytical model for LEDs with secondary optics.
- To assess the model's efficacy in representing symmetric radiation patterns.
Main Methods:
- Application of the Moreno and Sun analytical model to LED systems with secondary optics.
- Modification of the model using three cosine power functions.
- Utilizing optimization algorithms, including local search heuristics and genetic algorithms, for model fitting.
Main Results:
- Demonstrated that a simplified, modified model effectively represents LEDs with secondary optics.
- Achieved good fitting of the model to realistic LED radiation patterns.
- Validated the use of standard optimization algorithms for parameter estimation.
Conclusions:
- The modified analytical model provides an accurate and efficient method for characterizing LED radiation patterns with secondary optics.
- Optimization techniques are effective in fitting the model to experimental data, enhancing its practical applicability.
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