基于傅里叶变换的波长扫描腔衰荡光谱

王振; 杜艳君; 丁艳军; 彭志敏

doi:10.7498/aps.68.20191062

摘要

连续波腔衰荡光谱(CW-CRDS)采用腔长扫描方式, 光谱间隔可任意长, 适合弱吸收条件下气体参数或谱线参数的精确测量. CW-CRDS腔长扫描可使任意波长激光耦合进腔, 此时激光波长波动会降低光谱的信噪比. 为此, 本文提出了一种基于傅里叶变换的、快速波长扫描的CRDS方法(FTS-CRDS), 该方法在高速扫腔的同时连续扫描激光波长, 得到周期性的蕴含气体吸收信息的衰荡时间, 然后对其进行傅里叶变换, 提取其特征频率以精确复现气体吸收光谱. FTS-CRDS能有效消除激光波长波动等导致的光谱噪声, 提升复杂线型中谱线参数的测量精度, 且无需采用波长计实时测量激光绝对波长, 可使测量系统更紧凑、经济. 实验采用低压下CO分子的6371.299 cm^–1和6374.406 cm^–1谱线对该方法进行了验证, 相比CW-CRDS, 该方法有效消除了激光波长波动导致的谱线两翼处噪声, 光谱信噪比提高了4倍以上; 测得的谱线参数与CW-CRDS一致, 但具有更小的测量不确定度.

关键词:

腔衰荡光谱 /
傅里叶变换 /
波长扫描 /
碰撞展宽系数

Abstract

Continuous wave cavity ring down spectroscopy (CW-CRDS) method with using cavity length scanning is ideal for accurately characterizing the low pressure spectra and measuring the small spectral parameters (such as the Dicke narrowing coefficient and the speed dependent collision broadening coefficient). However, the laser of any wavelength can be coupled to the cavity due to the cavity scan, so the spectral noise caused by the laser wavelength fluctuations cannot be ignored. This noise is non-uniformly distributed in the spectrum (especially on both wings on the spectral line) and is difficult to eliminate even with long-term averaging. Unlike the complex laser frequency locking techniques or the optical frequency combs or the better lasers, in this paper, a simple, easy to operate, fast wavelength-scanned CRDS method is proposed based on Fourier transform. The laser wavelength is continuously tuned across the absorption line to measure the periodic ring-down time. A reconstruction algorithm is developed to precisely recover the absorbance by extracting the characteristic frequencies of the periodic ring-down time after the Fourier transform. An etalon, instead of the wavelength meter, is used to calibrate the relative laser wavelength. This method effectively eliminates the non-uniform spectral noise caused by laser wavelength fluctuation in traditional CW-CRDS and significantly improves the measurement accuracy of spectral line parameters (especially line parameters in complex line shapes, such as speed dependent Voigt line shape) at low pressure. In addition, the measuring system, in which no wavelength meter is used, is simpler, more economical than CW-CRDS. The smaller residuals of the Galatry profile fit to the measured CO transitions at R(5) 6371.299 cm^–1 and R(6) 6374.406 cm^–1 show that the noise on both wings of the spectra, caused by laser wavelength fluctuation, is effectively reduced and the spectral SNR is then improved. The measured N₂ perturbed collision broadening coefficient of the Voigt profile fit for CO is consistent with that from the classical CW-CRDS method and is in good agreement with the HITRAN2016 database. The measured N₂ perturbed Dicke narrowing coefficient of the Rautian and Galatry profile and speed dependent collision broadening coefficient of the speed dependent Voigt profile have very good linear relationship with pressure, and have smaller uncertainties than the results from the CW-CRDS method.

Keywords:

cavity ring down spectroscopy /
Fourier transform /
wavelength scanned /
collision broadening coefficient

作者及机构信息

王振,
杜艳君,
丁艳军,
彭志敏

清华大学能源与动力工程系, 北京　100084

通信作者: 彭志敏, apspect@tsinghua.edu.cn

基金项目: 国家重点研发计划(批准号: 2016YFC0201104)和国家自然科学基金(批准号: 51676105, 11972213, 51906120)资助的课题

Authors and contacts

Wang Zhen,
Du Yan-Jun,
Ding Yan-Jun,
Peng Zhi-Min

Department of Energy and Power Engineering, Tsinghua University, Beijing 100084, China

Corresponding author: Peng Zhi-Min, apspect@tsinghua.edu.cn

Funds: Project supported by the National Key Research & Development Program of China (Grant No. 2016YFC0201104) and the National Natural Science Foundation of China (Grant Nos. 51676105, 11972213, 51906120)

文章全文 : translate this paragraph

参考文献

[1]	O’Keefe A, Deacon D A G 1988 Rev. Sci. Instrum. 59 2544 Google Scholar
[2]	Lehmann K K, Romanini D 1996 J. Chem. Phys. 105 10263 Google Scholar
[3]	Paldus B A, Kachanov A A 2005 Can. J. Phys. 83 975 Google Scholar
[4]	Long D A, Fleisher A J, Liu Q, Hodges J T 2016 Opt. Lett. 41 1612 Google Scholar
[5]	Karhu J, Lehmann K, Vainio M, Metsälä M, Halonen L 2018 Opt. Express 26 29086 Google Scholar
[6]	胡仁志, 王丹, 谢品华, 凌六一, 秦敏, 李传新, 刘建国 2014 物理学报 63 110707 Google Scholar Hu R Z, Wang D, Xie P H, Ling L Y, Qin M, Li C X, Liu J G 2014 Acta Phys. Sin. 63 110707 Google Scholar
[7]	Romanini D, Kachanov A A, Sadeghi N, Stoeckel F 1997 Chem. Phys. Lett. 264 316 Google Scholar
[8]	Bucher C R, Lehmann K K, Plusquellic D F, Fraser G T 2000 Appl. Opt. 39 3154 Google Scholar
[9]	Dudek J B, Tarsa P B, Velasquez A, Wladyslawski M, Rabinowitz P, Lehmann K K 2003 Anal. Chem. 75 4599 Google Scholar
[10]	Malathy D V, Chris Benner D, Smith M A H, Mantz A W, Sung K, Brown L R, Predoi-Cross A 2012 J. Quant. Spectrosc. Radiat. Transf. 113 1013 Google Scholar
[11]	Goldenstein C S, Hanson R K 2015 J. Quant. Spectrosc. Radiat. Transf. 152 127 Google Scholar
[12]	Schreier F 2017 J. Quant. Spectrosc. Radiat. Transf. 187 44 Google Scholar
[13]	Tan Y, Mikhailenko S N, Wang J, Liu A W, Zhao X Q, Liu G L, Hu S M 2018 J. Quant. Spectrosc. Radiat. Transf. 221 233 Google Scholar
[14]	Kassi S, Karlovets E V, Tashkun S A, Perevalov V I, Campargue A 2017 J. Quant. Spectrosc. Radiat. Transf. 187 414 Google Scholar
[15]	Mondelain D, Mikhailenko S N, Karlovets E V, Beguier S, Kassi S, Campargue A 2017 J. Quant. Spectrosc. Radiat. Transf. 203 206 Google Scholar
[16]	Morville J, Romanini D, Chenevier M, Kachanov A A 2002 Appl. Opt. 41 6980 Google Scholar
[17]	Bicer A, Bounds J, Zhu F, Kolomenskii A A, Kaya N, Aluauee E, Amani M, Schuessler H A 2018 Int. J. Thermophys. 39 1572
[18]	Cygan A, Wojtewicz S, Domyslawska J, Maslowski P, Bielska K E, Piwinski M, Stec K, Trawinski R S, Ozimek F, Radzewicz C, Abe H, Ido T, Hodges J T, Lisak D, Ciurylo R 2013 Eur. Phys. J. Special Topics 222 2119 Google Scholar
[19]	Wójtewicz S, Masłowski P, Cygan A, Wcisło P, Zaborowski M, Piwiński M, Ciuryło R, Lisak D 2015 J. Quant. Spectrosc. Radiat. Transf. 165 68 Google Scholar
[20]	Mikhailenko S N, Mondelain D, Karlovets E V, Kassi S, Campargue A 2018 J. Quant. Spectrosc. Radiat. Transf. 206 163 Google Scholar
[21]	Gotti R, Prevedelli M, Kassi S, Marangoni M, Romanini D 2018 J. Chem. Phys. 148 054202 Google Scholar
[22]	Mondelain D, Sala T, Kassi S, Romanini D, Marangoni M, Campargue A 2015 J. Quant. Spectrosc. Radiat. Transf. 154 35 Google Scholar
[23]	Morville J, Romanini D, Kachanov A A, Chenevier M 2004 Appl. Phys. B 78 465
[24]	Mazurenka M, Wada R, Shillings A J L, Butler T J A, Beames J M, Orr-Ewing A J 2005 Appl. Phys. B 81 135 Google Scholar
[25]	Halmer D, Basum G, Hering P, Mürtz M 2004 Rev. Sci. Instrum. 75 2187 Google Scholar
[26]	Du Y J, Peng Z M, Ding Y J 2018 Opt. Express 26 9263 Google Scholar
[27]	Peng Z M, Ding Y J, Jia J W, Lan L J, Du Y J, Li Z 2013 Opt. Express 21 23724 Google Scholar
[28]	Wójtewicz S, Stec K, Masłowski P, Cygan A, Lisak D, Trawiński R S, Ciuryło R 2013 J. Quant. Spectrosc. Radiat. Transf. 130 191 Google Scholar
[29]	Kowzan G, Stec K, Zaborowski M, Wójtewicz S, Cygan A, Lisak D, Masłowski P, Trawiński R S 2017 J. Quant. Spectrosc. Radiat. Transf. 191 46 Google Scholar
[30]	Gordon I E, Rothman L S, Hill C, et al. 2017 J. Quant. Spectrosc. Radiat. Transf. 203 3 Google Scholar

施引文献

图 1 FTS-CRDS与CW-CRDS方法的系统原理图 LC, 激光电流和温度控制器; FI, 光纤隔离器; AOM, 声光调制器; APD, 雪崩光电二极管; DDG, 数字延迟发生器; PZT, 压电换能器; DAQ, 数据采集系统; WM, 波长计

Fig. 1. The system schematic diagram of FTS-CRDS and CW-CRDS. LC, laser current and temperature controller; FI, fiber isolator; AOM, acousto-optic modulator; APD, avalanche photodiode; DDG, digital delay generator; PZT, piezoelectric transducer; WM, wavelength meter; DAQ, data acquisition system; WM, wavelength meter.

下载: 全尺寸图片幻灯片

图 2 (a) 激光电流(蓝色)及周期性的衰减常数(黑色); (b) 激光电流(蓝色), 激光波长(黑色), 标准具信号(红色); 图中仅展示了100个周期中的4个

Fig. 2. (a) Instantaneous laser current (blue) and instantaneous ring-down time (black), τ(t); (b) wavelength (red) and etalon signal (black). Note that the (a) and (b) figure shows an example with only 4 of 100 the circles.

下载: 全尺寸图片幻灯片

图 3 τ(t)的傅里叶幅值谱及周期性噪声(~5.5, ~11, ~19和~21 Hz)

Fig. 3. The amplitude spectrum of τ(t) and the periodic noises (~5.5, ~11, ~19 and ~21 Hz).

下载: 全尺寸图片幻灯片

图 4 (a) CW-CRDS测量的衰荡时间, n_d为每个电流点的测量次数, 白色点表示超出色阶范围; (b) FTS-CRDS方法测量的衰荡时间, n_p为所测周期数; 横轴均为激光电流, 为了更清晰地显示谱线中心区域, 这里仅显示了74−86 mA的数据

Fig. 4. (a) Ring-down time measured by CW-CRDS, n_d is the number of measurements per current, white points represent out-of-range data; (b) ring-down time measured by FTS-CRDS, n_p is the number of cycles; the x axis represents laser current with the range of 74−86 mA.

下载: 全尺寸图片幻灯片

图 5 在相同条件下, 两种方法测量的CO吸收光谱(黑色虚线)及VP(红线)和GP(蓝线)拟合　(a) CW-CRDS; (b) FTS-CRDS; 两幅图的x轴和y轴的尺度相同

Fig. 5. The absorption spectra (black dotted line) of CO measured by the two methods and the best fit of Voigt profile (red) and Galatry profile (blue): (a) CW-CRDS; (b) FTS-CRDS; the x and y-axes scales of the residuals obtained by the two methods are the same

下载: 全尺寸图片幻灯片

图 6 不同压力下所测得的光谱参数(CW-CRDS所测结果为红色, FTS-CRDS为黑色)　(a) γ_c (空心圆); (b) β (空心方框), γ₂ (空心三角)

Fig. 6. The measured spectral parameters for various pressures (CW-CRDS (red), FTS-CRDS (black): (a) γ_c (hollow triangle); (b) β (hollow square), γ₂ (hollow triangle).

下载: 全尺寸图片幻灯片

表 1 FTS-CRDS和CW-CRDS测量的光谱参数及其不确定度

Table 1. Measured spectral parameters and uncertainties by CW-CRDS and FTS-CRDS.

v₀/cm^–1	E''/cm^–1	Transition	ϕ	γ_c (T₀)/10^–2 cm^–1·atm^–1			β (T₀)/10^–2 cm^–1·atm^–1		γ₂ (T₀)/10^–2 cm^–1·atm^–1
v₀/cm^–1	E''/cm^–1	Transition	ϕ	CW	FTS	HT	CW	FTS	CW	FTS
6371.299	57.670	R(5)	VP	6.26^b	6.29^b	6.29^a	—	—	—	—
			GP	6.43^b	6.51^b		2.84^d	2.92^c	—	—
			RP	6.47^b	6.54^b		2.57^d	2.60^c	—	—
			SDVP	6.50^b	6.59^b		—	—	0.87^d	0.85^c
6374.406	80.735	R(6)	VP	6.10^b	6.11^b	6.12^a	—	—	—	—
			GP	6.20^b	6.25^b		2.65^d	2.77^c	—	—
			RP	6.25^b	6.29^b		2.38^d	2.39^c	—	—
			SDVP	6.26^b	6.33^b		—	—	0.69^d	0.79^c
注: γ_c, 碰撞展宽系数; β, Dicke收敛系数; γ₂, 速度依赖的碰撞展宽系数; FTS和CW分别代表FTS-CRDS和CW-CRDS, HT表示HITRAN; ^a表示相同温度(T = 288 K)下HITRAN^{[ 30]}的数据, 空气为背景气; ^b不确定度 0%—1%; ^c不确定度 5%—15%; ^d不确定度 15%—30%.

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[1]	O’Keefe A, Deacon D A G 1988 Rev. Sci. Instrum. 59 2544 Google Scholar
[2]	Lehmann K K, Romanini D 1996 J. Chem. Phys. 105 10263 Google Scholar
[3]	Paldus B A, Kachanov A A 2005 Can. J. Phys. 83 975 Google Scholar
[4]	Long D A, Fleisher A J, Liu Q, Hodges J T 2016 Opt. Lett. 41 1612 Google Scholar
[5]	Karhu J, Lehmann K, Vainio M, Metsälä M, Halonen L 2018 Opt. Express 26 29086 Google Scholar
[6]	胡仁志, 王丹, 谢品华, 凌六一, 秦敏, 李传新, 刘建国 2014 物理学报 63 110707 Google Scholar Hu R Z, Wang D, Xie P H, Ling L Y, Qin M, Li C X, Liu J G 2014 Acta Phys. Sin. 63 110707 Google Scholar
[7]	Romanini D, Kachanov A A, Sadeghi N, Stoeckel F 1997 Chem. Phys. Lett. 264 316 Google Scholar
[8]	Bucher C R, Lehmann K K, Plusquellic D F, Fraser G T 2000 Appl. Opt. 39 3154 Google Scholar
[9]	Dudek J B, Tarsa P B, Velasquez A, Wladyslawski M, Rabinowitz P, Lehmann K K 2003 Anal. Chem. 75 4599 Google Scholar
[10]	Malathy D V, Chris Benner D, Smith M A H, Mantz A W, Sung K, Brown L R, Predoi-Cross A 2012 J. Quant. Spectrosc. Radiat. Transf. 113 1013 Google Scholar
[11]	Goldenstein C S, Hanson R K 2015 J. Quant. Spectrosc. Radiat. Transf. 152 127 Google Scholar
[12]	Schreier F 2017 J. Quant. Spectrosc. Radiat. Transf. 187 44 Google Scholar
[13]	Tan Y, Mikhailenko S N, Wang J, Liu A W, Zhao X Q, Liu G L, Hu S M 2018 J. Quant. Spectrosc. Radiat. Transf. 221 233 Google Scholar
[14]	Kassi S, Karlovets E V, Tashkun S A, Perevalov V I, Campargue A 2017 J. Quant. Spectrosc. Radiat. Transf. 187 414 Google Scholar
[15]	Mondelain D, Mikhailenko S N, Karlovets E V, Beguier S, Kassi S, Campargue A 2017 J. Quant. Spectrosc. Radiat. Transf. 203 206 Google Scholar
[16]	Morville J, Romanini D, Chenevier M, Kachanov A A 2002 Appl. Opt. 41 6980 Google Scholar
[17]	Bicer A, Bounds J, Zhu F, Kolomenskii A A, Kaya N, Aluauee E, Amani M, Schuessler H A 2018 Int. J. Thermophys. 39 1572
[18]	Cygan A, Wojtewicz S, Domyslawska J, Maslowski P, Bielska K E, Piwinski M, Stec K, Trawinski R S, Ozimek F, Radzewicz C, Abe H, Ido T, Hodges J T, Lisak D, Ciurylo R 2013 Eur. Phys. J. Special Topics 222 2119 Google Scholar
[19]	Wójtewicz S, Masłowski P, Cygan A, Wcisło P, Zaborowski M, Piwiński M, Ciuryło R, Lisak D 2015 J. Quant. Spectrosc. Radiat. Transf. 165 68 Google Scholar
[20]	Mikhailenko S N, Mondelain D, Karlovets E V, Kassi S, Campargue A 2018 J. Quant. Spectrosc. Radiat. Transf. 206 163 Google Scholar
[21]	Gotti R, Prevedelli M, Kassi S, Marangoni M, Romanini D 2018 J. Chem. Phys. 148 054202 Google Scholar
[22]	Mondelain D, Sala T, Kassi S, Romanini D, Marangoni M, Campargue A 2015 J. Quant. Spectrosc. Radiat. Transf. 154 35 Google Scholar
[23]	Morville J, Romanini D, Kachanov A A, Chenevier M 2004 Appl. Phys. B 78 465
[24]	Mazurenka M, Wada R, Shillings A J L, Butler T J A, Beames J M, Orr-Ewing A J 2005 Appl. Phys. B 81 135 Google Scholar
[25]	Halmer D, Basum G, Hering P, Mürtz M 2004 Rev. Sci. Instrum. 75 2187 Google Scholar
[26]	Du Y J, Peng Z M, Ding Y J 2018 Opt. Express 26 9263 Google Scholar
[27]	Peng Z M, Ding Y J, Jia J W, Lan L J, Du Y J, Li Z 2013 Opt. Express 21 23724 Google Scholar
[28]	Wójtewicz S, Stec K, Masłowski P, Cygan A, Lisak D, Trawiński R S, Ciuryło R 2013 J. Quant. Spectrosc. Radiat. Transf. 130 191 Google Scholar
[29]	Kowzan G, Stec K, Zaborowski M, Wójtewicz S, Cygan A, Lisak D, Masłowski P, Trawiński R S 2017 J. Quant. Spectrosc. Radiat. Transf. 191 46 Google Scholar
[30]	Gordon I E, Rothman L S, Hill C, et al. 2017 J. Quant. Spectrosc. Radiat. Transf. 203 3 Google Scholar

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基于傅里叶变换的波长扫描腔衰荡光谱