为了解决发光二极管(LED)应用于照明时光照不均匀的问题，运用非成像光学和几何光学的基本原理，推导了反射式LED二次光学系统的设计步骤，设计了LED二次光学系统，并对其光照均匀性进行了仿真。针对仿真显示的问题对设计步骤进行了改进，利用改进后的方法重新设计了二次光学系统，并利用光学设计软件对设计的光学系统进行了仿真。结果表明，这种二次光学系统能够达到均匀照明的效果。

For solving the problem of non-uniformity of light emitting diode(LED) illumination, based on basic principles of non-imaging optics and geometric optics, the design procedure of a LED reflecting secondary optical system was deduced. Then a LED reflecting secondary optical system was designed and its illumination uniformity was simulated. Aiming at the problem reflected by the simulation result, the designing procedure was improved. Then the secondary optical system was redesigned, the result of simulation shows this optical system can achieve the illumination uniformity.