【摘要】 介绍了黑体辐射理论,利用MATLAB求解了普朗克黑体辐射公式在有界域λ1～λ2内的积分,通过实例对梯形法和辛普森法两种数值积分方法进行了分析和比较。并在此基础上对距黑体一定距离处探测器表面的辐照度值E进行了研究。通过分析可知,利用梯形法和辛普森法能够方便求出黑体在有界域内的辐出度值。此外,利用MATLAB编制的相应的计算界面,能够实现辐出度和辐照度的快速计算。更多还原

【Abstract】 The theory of blackbody radiation is discussed and the integral solution of the formula of the Plank blackbody radiation in the bounded domain λ1~λ2 is solved with MATLAB. The Simpson numerical integral method and trapezoidal numerical integral method are analyzed and compared through example. Based on this, irradiance about the surface of detector which has a fixed distance to the blackbody is researched. The results of analysis show that we can acquire the radiant exitance of blackbody in bounded domain with Simpson method and trapezoidal method. At the same time, we can realize the quick calculation of radiant exitance and irradiance with relevant MATLAB calculating interface.更多还原