Application of Monte Carlo Method in the Design of White LED Phosphor Layer

As a new type of illuminator, LED has received much attention from the lighting industry since its birth. Especially after entering the 21st century, the world faces a serious energy and environmental crisis. It is urgent to improve existing lighting equipment and improve its efficiency. LED has the advantages of high electro-optic efficiency, small size, long life, low voltage, energy saving and environmental protection. It is one of the most important lighting devices in the future. Compared with traditional incandescent lamps and fluorescent lamps, LEDs have an absolute advantage in electro-optic efficiency and longevity. Once breakthroughs are made in cost and light efficiency, their prospects will be limitless. Moreover, due to the relative concentration of the light emitted by the LED and the narrowness of the divergence angle, the application prospects in the fields of automobile headlights, backlights of mobile phones, light displays, traffic lights, signal lights, etc. are far greater than ordinary light sources.

There are two main methods for improving the light efficiency of white LEDs, namely, the improvement of the light efficiency of the blue light chip of the substrate and the improvement of the luminous efficacy of the phosphor layer. This paper mainly discusses the method of improving the excitation light effect of the phosphor layer. One of the key factors in the efficacy of the phosphor layer is the phosphor conversion efficiency; another key factor is the light output efficiency determined by the powder layer's own parameters such as phosphor layer thickness, scattering parameters, and absorption parameters. Therefore, improving the light efficiency of the phosphor layer is also an important guarantee for improving the light efficiency of white LEDs.

By changing the particle size, amount, coating position, shape, and solid crystal position of the phosphor layer of the phosphor layer, not only the light effect but also the color parameter and the spatial light intensity distribution are changed. The setting of the parameters of the phosphor layer determines the color temperature Ra value of the white LED.
In order to improve the narrow angle of the traditional LED exiting light, the light intensity is rapidly attenuated with the angle change, the spectral spatial distribution is uneven, and the edge has serious color cast, etc., and the design of the LED package structure must be improved. In recent years, many new types of packages have appeared, which have played a good role in improving the distribution of LED light. In order to better design the outer epoxy resin encapsulation structure, it is necessary to further study and optimize the distribution of the emitted light of the phosphor layer.

For any function, as long as enough samples are taken uniformly within its value range (the more samples, the lower the correlation coefficient, ie the better the randomness, the more accurate the conclusion), the result close to its expected value can be obtained. According to statistical principles, when the sample reaches infinity, the cumulative average result of the function is its expected value. That is to say, in infinity, the complete re-enactment of the event process is achieved. And because most of the phenomena can be attributed to a collection of functions, the Monte Carlo estimation principle offers the possibility to simulate various phenomena in the real world. But as the method itself says, if you want more accurate results, you have to simulate a lot of data. So in the past when computer technology was still lagging behind, it was almost impossible to manually sample a large amount of data. Even such an attempt would fail because the amount of data could not meet the accuracy requirements of random simulation. Therefore, the Monte Carlo method has also been ignored. Until the breakthrough in computer technology, it is possible for people to obtain enough data samples through the computer to obtain predictive conclusions with guaranteed accuracy. (Edit: Technology)

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