从发光二极管(LED)的发光原理及封装结构出发, 研究了入射角大于全反射临界角而引起的全反射损失对LED封装光能提取效率的影响。通过简化LED结构, 建立数学参数模型, 寻求LED光能提取率与半球形透镜的半径和折射率的数值关系。研究发现LED光学效率与半球形透镜折射率和半径呈特定的非线性关系, 该结论通过Lighttools软件仿真得到验证。

From principles and package structure of light emitting diode (LED), the effects on primary optical efficiency of the total reflection losses were studied. By simplifying the LED structure and establishing a mathematical model, the numerical relationship of LED output energy with the radius and the refractive index of hemispherical lens was analyzed and it was found to be a nonlinear relationship. The conclusion was verified by Lighttools simulations.