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Voigt profile function and its maximum

Yin Zeng-Qian Wu Chen Gong Wan-Yu Gong Zhi-Ke Wang Yong-Jie

Voigt profile function and its maximum

Yin Zeng-Qian, Wu Chen, Gong Wan-Yu, Gong Zhi-Ke, Wang Yong-Jie
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  • Received Date:  26 November 2012
  • Accepted Date:  05 March 2013
  • Published Online:  20 June 2013

Voigt profile function and its maximum

  • 1. Department of Mathematics and Physics, North China Electric Power University, Baoding 071003, China
Fund Project:  Project supported by the Fundamental Research Fund for the Central Universities, China (Grant No. 10ML40).

Abstract: 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.

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