The spectral responsivity of a photometer is usually measured using very narrow optical excitations, provided by a monochromator or a tuneable laser. This article describes a technique to measure the spectral responsivity using an arbitrary number of optical excitations having any type of spectral distribution. The problem is formulated as an inverse problem which is solved using a probabilistic approach based on Bayes’ theorem. The method requires a prior knowledge of the spectral responsivity, which can be proportional to the standard photopic function, with an uncertainty level related to the spectral match index of the photometer. Using this method, the estimation can be performed from data provided by a simple experimental set-up. The numerical application provides a stable and unique solution to the inverse problem, along with the estimation uncertainties. Using a tuneable LED source, the method was applied to an illuminance measurement head, giving an estimation of its spectral responsivity from 380 to 780 nm with a step of 1 nm. The results were in good agreement with data obtained by a monochromator-based technique. Our measurement had larger uncertainties towards the red and blue limits of the spectrum as the light source provided very little light at these wavelengths.

光度计的光谱响应度通常使用非常窄的光激发来测量，由单色器或可调谐激光器提供。本文介绍了一种使用任意数量的具有任何类型光谱分布的光激发来测量光谱响应度的技术。该问题被表述为一个逆问题，该问题是使用基于贝叶斯定理的概率方法解决的。该方法需要光谱响应度的先验知识，它可以与标准明视函数成正比，不确定性水平与光度计的光谱匹配指数有关。使用这种方法，可以根据简单的实验设置提供的数据进行估计。数值应用为逆问题提供了稳定而独特的解决方案，以及估计的不确定性。使用可调谐的 LED 光源，将该方法应用于照度测量头，以 1 nm 的步长估计其光谱响应度从 380 到 780 nm。结果与通过基于单色仪的技术获得的数据非常一致。我们的测量对光谱的红色和蓝色极限具有更大的不确定性，因为光源在这些波长下提供的光很少。