用Monte-Carlo法模拟积分球的光功率波形变换特性

运用Monte-Carlo法原理,用matlab软件编程,通过随机抽样,追迹了100000个光子,对一半径为100mm,漫反射率为0.85的积分球的光功率波形变换特性进行了模拟.结果显示,当入射光为脉宽无限窄的Dirac函数时,积分球的出射光功率波形是在指数曲线的基础上叠加了一个O平均值的振荡曲线,振荡幅度随时间很快降低,而且随统计时间间隔的增大趋向于0.在统计时间间隔与单次最大反射时间相比较大时,模拟结果与解析解基本吻合;在统计时间间隔与单次最大反射时间相当或更短时,对模拟数据可以进行指数拟合,相关系数一般大于0.98.拟合指数曲线给出的时间常数与解析解基本一致.

Monte-Carlo simulation on the performance of light power waveform transformation by the integrating sphere

Based on Monte- Carlo fundamentals, by matlab program, the performance of light power transformation by an integrating sphere with radius of 100mm and diffuse reflectance of 0.85 was simulated. 100000 photons were randomly sampled and traced. The results show that the output light power pattern is an exponential line plus an oscillating curve with zero mean value when the input wave is of Dime function form. The oscillating amplitude reduces rapidly with time and tends to be zero with the increase of statistical time interval. When the time interval is much larger than the single maximun time, the simulation result agrees well with the analytic one. Instead, when the interval is approximately the same as the single maximum time. or even less, the simulating data can be fitted with an exponential llne and the correlation coefficient is generally greater than 0.96.The time constant of the fitted line is consistent with that of the analysis.