用MATLAB实现普朗克函数积分的快捷计算

普朗克函数在不少红外计算中具有重要作用。为了得到黑体源在某一波段内的辐射总量,需要对普朗克函数做积分。除了0～∞波段,该积分并没有解析解。有多种计算普朗克函数积分的方法,但其中最快捷的途径可能是用MATLAB。通过选择合适的MATLAB数值积分函数和方法,容易得到精度为10~(-6)、甚至更高精度的普朗克函数光谱积分结果。

Fast and Easy Integration of Planck Function with MATLAB

The Planck or blackbody function is important for many infrared radiation calculations. To obtain the total radiance or exitrance from a source in a certain spectral band,the integration of the Planck function should be done.Except the spectral band from zero to infinity,there is not any analytic solution for this integration.The integration of the Planck function can done in many different ways.Among them,the use of the MATLAB may be most convenient.Through the selection of a proper MATLAB numerical integration function and method,the spectral integral result of the Planck function with an accuracy of 10~(-6)and even a higher value can be obtained easily.