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计算夜视仪在一定的夜天空辐射下,对某些给定目标的发现、识别和认清距离,需要计算由光电阴极发射的光电子平均数n_(pc)。由于决定n_(pc)值的光源光谱辐射亮度、光电阴极的光谱灵敏度和目标光谱反射系数都没有显式表达式,因此n_(pc)的计算既麻烦又费时。本文应用最小二乘法对光源光谱辐射亮度、光电阴极的光谱灵敏度和目标光谱反射系数作曲线拟合。为了获得较高的数值稳定性,用改进的格拉姆-施密特(Gramm-Schmidt)正交化方法求得这三条曲线的最小二乘解,最后用辛卜森积分法求出n_(pc)值。根据这个方法,我们在BX-1上用BASIC语言编制了n_(pc)的计算程序,计算结果也列了出来,並与资料所提供的结果作了比较,结果是满意的。
Calculating Night Vision Under a certain nighttime sky radiation, finding, identifying and recognizing the distance for some given targets requires calculating the average number of photoelectrons emitted from the photocathode n pc. The calculation of n_ (pc) is both cumbersome and time-consuming because neither the spectral radiance of the light source determining the value of n_ (pc), the spectral sensitivity of the photocathode nor the spectral reflectance of the target are explicitly expressed. In this paper, the least squares method is used to curve fitting the spectral radiance of the light source, the spectral sensitivity of the photocathode and the target spectral reflectance. In order to obtain higher numerical stability, we obtain the least square solution of these three curves by improved Gramm-Schmidt orthogonalization. Finally, )value. According to this method, we compiled the program of n_ (pc) in BASIC language on BX-1. The calculation results are also listed and compared with the data provided. The result is satisfactory.