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The industry of lighting is working hard along the last years to improve the light extraction efficiency of the LEDs. One of the important part of the efficiency study is the software simulation. It allows us to, predict the behaviors of the given LED structure or adjust some parameters before build the real prototype. The traditional way of the simulations consists on using the Finite Elements Method or the Finite Difference Method. But the above methods need a lot of resources regarding to the time and computational memory. To reduce the required resources, the alternative way consists on combining the FEM software with a mathematical model. The objective of the thesis is assembly the mathematical model proposed by Philips Lumileds using MATLAB, by this way we are going to simulate part of LED geometry using a FEM software and after that use the results to post-process and be able to describe the behavior of the whole LED structure. First of all, we are going to study the theory about the LED structure and the physics phenomenon inside of a LED. Afterwards, the proposed numerical model, which is based on the explained theory, will be present. After that, the implementation of the method will be carried out, to do it also a FEM software has to be learned. In our case, we are going to use the JCMwave software. Finally, we are going to validate the model using results of a real photonic crystal simulation.
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