积分球出射辐照度的Monte Carlo模拟

应用Monte Carlo法原理，利用区间【0，1】上均匀分布的随机变量产生的均匀照度光源模型及光在积分球内表面的漫反射模型，用Matlab编程，对一积分球出口平面处及距出口100mm以内的10个平面上的辐射能量和辐照度进行了计算机模拟。模型共追迹了100000个光子，结果显示，随着传播距离的增大，辐射总能量不断衰减，小于积分球出口直径时辐照度的均匀性先减小然后又逐渐增强，大于积分球出口直径时辐照度的均匀性不断增强。整个平面上的辐照度随传播距离的增大逐渐趋于均匀。具有一定照度大小的大面积均匀辐射场只能在适当位置处获得。

Simulation of the output irradiance of integrating sphere with Monte Carlo method

With Monte Carlo method, a group of stochastic variable uniformly distributed over 0,1] were used to simulate the uniform illuminance source and the Lambertion reflection in the inner face of the integrating sphere. With the matlab program, a total number of 100000 photons were traced. The total number of photons on ten exit planes of the integrating sphere was counted and their irradiance was analyzed. The simulation results show that the overall irradiant energy is continuously reduced with propagation. The uniformity of irradiance is reduced at first and increased then within the diameter of the exit ports of the integrating sphere and monotone increased out of the diameter. Large uniform source can only be obtained at proper location of optical lens plants. Two approaches to system design were discussed, a Dynamic Matrix Control (DMC) algorithm and a liner cascade compensator. When the parameters change in little and disturbances are not strong, the two systems can all satisfy performance specifications.