Error analysis of quartz glass terahertz optical parameter measurement

Yang Xiaojie; Li Xiangjun; Liu Jianjun

When the THz optical parameters of gas or liquid samples in quartz glass container were measured in the most cases, the influence of THz optical parameters quartz glass should be considered. The time domain spectroscopy of quartz glass was measured, then it's the refractive index and absorption coefficient in THz band were calculated by the analytical formula. At last the error of its optical parameters was analyzed by the theory of error propagation. It is found that the error of the refractive index is almost invariable in 0.2-2.0 THz, and the error of the absorption coefficient is exponentially increasing with frequency increasing. The result is significant for improving the accuracy of THz optical parameters of gas or liquid samples in quartz glass container.

1. The College of Information Engineering,China Jiliang University,Hangzhou 310018,China;

2. Centre for THz Research,China Jiliang University,Hangzhou 310018,China

Received Date: 2014-10-05

Rev Recd Date: 2014-11-05

Publish Date: 2015-06-25

Key words:

Abstract: When the THz optical parameters of gas or liquid samples in quartz glass container were measured in the most cases, the influence of THz optical parameters quartz glass should be considered. The time domain spectroscopy of quartz glass was measured, then it's the refractive index and absorption coefficient in THz band were calculated by the analytical formula. At last the error of its optical parameters was analyzed by the theory of error propagation. It is found that the error of the refractive index is almost invariable in 0.2-2.0 THz, and the error of the absorption coefficient is exponentially increasing with frequency increasing. The result is significant for improving the accuracy of THz optical parameters of gas or liquid samples in quartz glass container.

HTML

Reference (31)

[1]	Smye S W, Chamberlain J M, Fitzgerald A J, et al. The interaction between terahertz radiation and biological tissue[J]. Physics in Medicine and Biology, 2001, 46(9): R101.
[2]
[3]
[4]	Gorenflo S, Tauer U, Hinkov I, et al. Dielectric properties of oil-water complexes using terahertz transmission spectroscopy[J]. Chemical Physics Letters, 2006, 421(4): 494-498.
[5]	Fischer B M, Walther M, Jepsen P U. Far-infrared vibrational modes of DNA components studied by terahertz time-domain spectroscopy[J]. Physics in Medicine and Biology, 2002, 47(21): 3807.
[6]
[7]
[8]	Zhang R, Cui Y, Sun W, et al. Polarization information for terahertz imaging[J]. Applied Optics, 2008, 47(34): 6422-6427.
[9]
[10]	Zhu Y M, Chen L, Peng Y, et al. Temperature dependence of nonequilibrium transport time of electrons in bulk GaAs investigated by time-domain terahertz spectroscopy[J]. Applied Physics Letters, 2011, 99(2): 022111.
[11]	Du S Q, Li H, Xie L, et al. Vibrational frequencies of anti-diabetic drug studied by terahertz time-domain spectroscopy[J]. Applied Physics Letters, 2012, 100(14): 143702.
[12]
[13]	Duvillaret L, Garet F, Coutaz J L. Highly precise determination of optical constants and sample thickness in terahertz time-domain spectroscopy[J]. Applied Optics, 1999, 38(2): 409-415.
[14]
[15]
[16]	Zang X F, Li Z, Shi C, et al. Rotatable illusion media for manipulating terahertz electromagnetic waves[J]. Optics Express, 2013, 21(21): 25565-25572.
[17]
[18]	Dorney T D, Baraniuk R G, Mittleman D M. Material parameter estimation with terahertz time-domain spectroscopy[J]. JOSA A, 2001, 18(7): 1562-1571.
[19]
[20]	Sun Wenfeng, Wang Xinke, Zhang Yan. Measurement of refractive index for high reflectance materials with terahertz time domain reflection spectroscopy[J]. Chinese Physics Letters, 2009, 26(11): 114210.
[21]
[22]	Naftaly M, Miles R E. Terahertz time-domain spectroscopy: A new tool for the study of glasses in the far infrared[J]. Journal of Non-crystalline Solids, 2005, 351(40): 3341-3346.
[23]
[24]	Withayachumnankul D W, Fischer B M, Lin H, et al. Uncertainty in terahertz time-domain spectroscopy measurement[J]. JOSA B, 2008, 25(6): 1059-1072.
[25]
[26]	Krger M, Funkner S, Brndermann E, et al. Uncertainty and ambiguity in terahertz parameter extraction and data analysis[J]. Journal of Infrared, Millimeter, and Terahertz Waves, 2011, 32(5): 699-715.
[27]
[28]	Li X, Hong Z, He J, et al. Precisely optical material parameter determination by time domain waveform rebuilding with THz time-domain spectroscopy[J]. Optics Communications, 2010, 283(23): 4701-4706.
[29]	Pupeza I, Wilk R, Koch M. Highly accurate optical material parameter determination with THz time-domain spectroscopy[J]. Optics Express, 2007, 15(7): 4335-4350.
[30]
[31]	Fornis-Marquina J M, Letosa J, Garcia-Gracia M, et al. Error propagation for the transformation of time domain into frequency domain[J]. Magnetics, IEEE Transactions on, 1997, 33(2): 1456-1459.

Error analysis of quartz glass terahertz optical parameter measurement

Abstract

References

Proportional views

通讯作者: 陈斌, bchen63@163.com

Article Metrics

Related

Proportional views