Voigt线型函数及其最大值的研究

Voigt profile function and its maximum

研究了多普勒和洛伦兹线型函数卷积形式的Voigt线型函数,给出了它的最大值.结果表明,Voigt线型函数是关于中心频率的对称函数,Voigt线型函数的最大值由多普勒和洛伦兹线型函数的半宽度决定,与中心频率无关,且比洛伦兹和多普勒线型函数的最大值都小.提出了利用Voigt线型函数最大值和半宽度获得多普勒线型函数和洛伦兹线型函数的方法,并利用Monte Carlo方法进行了验证.

The Voigt profile function which is the convolution of the Doppler and Lorentzian function is investigated analytically and its maximum is obtained. The results indicate that the maximum of the Voigt profile function is smaller than maxima of Doppler and Lorentzian profile function, which is determined by the half-widths of Doppler and Lorentzian profile function. The Voigt profile function is a symmetric function about the central frequency. A new technique is presented, with which the Doppler and Lorentzian profile function can be obtained by using the maximum and half-width of the Voigt profile function, and the technique is verified by the Monte Carlo method.