Second derivative of Voigt function
文献类型:期刊论文
| 作者 | Yang CG(杨晨光)3; Kan RF(阚瑞峰)3; Xu ZY(许振宇)3 ; Zhang GL(张光乐)3; Liu JG(刘建国)3
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| 刊名 | ACTA PHYSICA SINICA
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| 出版日期 | 2014 |
| 卷号 | 63 |
| 关键词 | COMPLEX ERROR FUNCTION DIODE-LASER Voigt function minimum of second derivative locations of zero points |
| ISSN号 | 1000-3290 |
| 其他题名 | Second derivative of Voigt function |
| 英文摘要 | In high-temperature high-pressure environment, the measurement precisions of tunable diode laser absorption spectroscopy 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. |
| 资助项目 | [National Natural Science Foundation of China] ; [Young Scientists Fund of the National Natural Science Foundation of China] ; [Strategic Priority Research Program of the Chinese Academy of Sciences] |
| 语种 | 英语 |
| CSCD记录号 | CSCD:5282951 |
| 源URL | [http://ir.hfcas.ac.cn:8080/handle/334002/51508] ![]() |
| 专题 | 中国科学院合肥物质科学研究院 |
| 作者单位 | 1.中国科学院安徽光学精密机械研究所 2.中国科学院安徽光学精密机械研究所 3.中国科学院安徽光学精密机械研究所 4.中国科学院安徽光学精密机械研究所 5.中国科学院安徽光学精密机械研究所 |
| 推荐引用方式 GB/T 7714 | Yang CG,Kan RF,Xu ZY,et al. Second derivative of Voigt function[J]. ACTA PHYSICA SINICA,2014,63. |
| APA | 杨晨光,阚瑞峰,许振宇,张光乐,&刘建国.(2014).Second derivative of Voigt function.ACTA PHYSICA SINICA,63. |
| MLA | 杨晨光,et al."Second derivative of Voigt function".ACTA PHYSICA SINICA 63(2014). |
入库方式: OAI收割
来源:合肥物质科学研究院
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