中文摘要：

从理论上研究了光谱线型函数的四种形式及其关系,以多普勒展宽导致的线型函数为例,分析了光子数、能量按频率及波长分布函数的最大值和半高全宽。结果表明,光子数、能量按频率的分布函数近似相等,光子数、能量按波长的分布函数也近似相等。通过对多普勒线型函数的分析,建立了根据两条光谱线的线型函数的最大值比值求得光子数比值的方法。

英文摘要：

Four styles of spectral line shape function and their transformation relation were investigated theoretically.The photon number and energy distribution as functions of frequency and wavelength resulting from Doppler broadening were investigated,and the maximum intensity and FWHM（Full width at half maximum intensity） were obtained.The results show that the photon number distribution as function of frequency is almost the same as the energy distribution as function of frequency,while the photon number distribution as function of wavelength is almost the same as the energy distribution as function of wavelength.The method has been presented by analyzing the Doppler spectral line shape function,with which the ratio of density between two spectral lines can be obtained according to the ratio of maximum value of two spectral lines.