Analysis of Lorentzian Line Shape Function Broadened by Non-Sinusoidal Wavelength Modulation

doi:10.3964/j.issn.1000-0593(2014)03-0597-04

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	Analysis of Lorentzian Line Shape Function Broadened by Non-Sinusoidal Wavelength Modulation
	Sun You-qun; Wang Yun-tao; Ruan Chi; Xu Song-song
	2014-03-01
发表期刊	SPECTROSCOPY AND SPECTRAL ANALYSIS
卷号	34 期号:3 页码:597-600
摘要	In the present work, the Fourier analysis of Lorentzian line shape broadened by non-sinusoidal wavelength modulation was investigated, in which the third order and above harmonic items were ignored. The analytical expression of n-order Fourier coefficient was brought out, where a variable K named harmonic distortion to characterize the ratio of the second harmonic to the first harmonic was introduced. Numerical simulations based on the cases of K>0. 01 and K<0. 01 were carried out, and the result shows: non-sinusoidal modulation has little effect compared with the sinusoidal modulation when K value is less than 0. 01, however, if K value is about 0. 1 or higher, the center of the Fourier amplitude curve would deviate from the origin of coordinates. With the increase in the harmonic distortion, the deviation of the curve grows, and high order harmonics are more sensitive to the non-sinusoidal modulation compared with the low order harmonics. In addition, when harmonic distortion cannot be ignored, for example K>0. 01, the effect of different depths of modulation on the odd and even order harmonic amplitude curve is significant. And the numerical simulation shows there exists an optimum value of modulation depth which could minimize the impact of the harmonic distortion, and both large K value and small K value would cause a great error. The conclusion of this work could be applied in error analysis of wavelength modulation spectroscopy system. And the results are helpful to deepening understanding of WMS and would be the important reference for some kind of frequency stabilization technology in laser instrument.
文章类型	Article
关键词	Wavelength Modulation Spectroscopy (Wms) Sinusoidal Modulation Second Harmonic Harmonic Distortion Lorentzian Line Shape
WOS标题词	Science & Technology ; Technology
DOI	10.3964/j.issn.1000-0593(2014)03-0597-04
收录类别	SCI ; EI
语种	英语
WOS研究方向	Spectroscopy
WOS类目	Spectroscopy
WOS记录号	WOS:000335624300005
引用统计
文献类型	期刊论文
条目标识符	http://ir.opt.ac.cn/handle/181661/24082
专题	瞬态光学研究室
作者单位	Chinese Acad Sci, Xian Inst Opt & Precis Mech, State Key Lab Transient Opt & Photon, Xian 710119, Peoples R China
推荐引用方式 GB/T 7714	Sun You-qun,Wang Yun-tao,Ruan Chi,et al. Analysis of Lorentzian Line Shape Function Broadened by Non-Sinusoidal Wavelength Modulation[J]. SPECTROSCOPY AND SPECTRAL ANALYSIS,2014,34(3):597-600.
APA	Sun You-qun,Wang Yun-tao,Ruan Chi,&Xu Song-song.(2014).Analysis of Lorentzian Line Shape Function Broadened by Non-Sinusoidal Wavelength Modulation.SPECTROSCOPY AND SPECTRAL ANALYSIS,34(3),597-600.
MLA	Sun You-qun,et al."Analysis of Lorentzian Line Shape Function Broadened by Non-Sinusoidal Wavelength Modulation".SPECTROSCOPY AND SPECTRAL ANALYSIS 34.3(2014):597-600.

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