物理学报Issue(22)：1-6,6.DOI:10.7498/aps.63.223301
Voigt线形函数二阶导数研究
Second derivative of Voigt function
摘要
Abstract
In high-temperature high-pressure environment, the measurement precisions of tunable diode laser absorption spec-troscopy and other laser spectrum technologies are influenced by spectral overlap because of Doppler and Lorentz broadenings. One of the potential methods to improve precision is to use the second derivative spectral signal, which has less overlap. This paper deals with the second derivative of Voigt function. The integration of its second derivative from negative to positive infinity is proved to be zero. And the analytical results of its second derivative minimum and the maxima or minima of its even-order derivatives are obtained. It is also shown that there is the relationship between the ratio of second derivative maximum point location to zero point location and the ratio of Lorentz half-width to Doppler half-width. These results provide the basis for inversing precision information from second derivative spectral signal.关键词
Voigt函数/二阶导数最小值/零点位置Key words
Voigt function/minimum of second derivative/locations of zero points引用本文复制引用
杨晨光,阚瑞峰,许振宇,张光乐,刘建国..Voigt线形函数二阶导数研究[J].物理学报,2014,(22):1-6,6.基金项目
国家自然科学基金(批准号:61108034)、国家自然科学基金青年科学基金(批准号:61205151)和中国科学院战略性先导科技专项(批准号：XDA05040102)资助的课题.* Project supported by the National Natural Science Foundation of China (Grant No.61108034), the Young Scientists Fund of the National Natural Science Foundation of China (Grant No.61205151), and the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDA05040102) （批准号:61108034）
