CN102012361A - Reflection type terahertz spectrum analysis method for eliminating phase error - Google Patents
Reflection type terahertz spectrum analysis method for eliminating phase error Download PDFInfo
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Abstract
The invention relates to a reflection type terahertz spectrum analysis method for eliminating a phase error, which comprises the following steps of: 1, measuring a terahertz time domain waveform of a reference signal when a sample to be tested is not placed; 2, measuring a terahertz time domain waveform of information when the sample to be tested is placed; 3, respectively obtaining angular frequencies corresponding to phase spectrums omega of the reference signal and the sample to be tested in a system effective frequency range according to the terahertz time domain waveforms; 4, deducting the phase spectrum of the sample to be tested by the phase spectrum of the reference signal to obtain a phase difference spectrum; and 5, deviating second derivative for the angular frequency corresponding to the phase difference spectrum to extract a terahertz characteristic absorption spectrum of the sample to be tested in the system effective frequency range.
Description
Technical field
The present invention relates to reflective terahertz light spectral analysis method, after specifically the present invention relates to the low pole organic compound material carried out reflective terahertz light spectrometry, do not need artificial interference can eliminate the phase error in the reflective spectral measurement device and the terahertz light spectral analysis method of water vapor inhalation effects.
Background technology
Reflective terahertz time-domain spectroscopic technology (THz-RTDS) all is considered to more to approach the method for the detection of a target object characteristic of practical application all the time.Reflective measurement can sampling surface and inner range information, therefore can the 3-D view of object be reconstructed; More help surveying to the opaque big and thick object of terahertz emission; And be a kind ofly can check and discern the method that is embedded in the object in the penetrable material not, for example check the explosive that the terrorist carries on one's body, defective in the aviation heat-barrier material or the like.
In reflective terahertz time-domain spectroscopic technology extracts material information, according to fresnel formula, need measuring samples signal and reference signal respectively usually, and calculate the two accurate position mutually and amplitude find the solution the sample extinction coefficient.But, all there is a difficult problem in the derivation of the phase change of the signal that absorbed causes all the time, that be exactly so-called " misplacement phase error ", promptly extract the reflecting interface of reference signal and the reflecting interface of extraction sample signal and not exclusively overlap, the phase error that the range difference between two reflecting interfaces causes is very difficult to revise.
In order to solve this difficult problem, various reports have been put down in writing several different methods, comprise accurate adjusting experimental system, digital corrected Calculation method and utilize K-K transformation relation (Kramers-Kronig transform) directly to calculate phasic difference etc. by amplitude reflectivity.But these methods are not that to need human intervention be exactly need very big calculated amount, deal with very complicated.And all be the approximate treatment under the ideal conditions that does not have water vapor to absorb, and be not suitable for the measurement calculating of experimental system with atmospheric attenuation.
Summary of the invention
The invention provides a kind of reflective terahertz light spectral analysis method of eliminating phase error, phase spectrum to reference signal and testing sample carries out analyzing and processing, extract the characteristic absorpting spectrum of testing sample at terahertz wave band, need artificial elimination phase error thereby solved traditional reflective terahertz light spectral analysis method, and be not suitable for the technical matters of experimental system with atmospheric attenuation.
For solving the problems of the technologies described above, a kind of reflective terahertz light spectral analysis method of eliminating phase error of the present invention comprises the steps: that (1) measure the terahertz time-domain waveform of reference signal when not placing sample; (2) measure the terahertz time-domain waveform that is loaded with testing sample information; (3) obtain reference signal and the phase spectrum of testing sample in system's effective frequency range respectively by the terahertz time-domain waveform
ω is corresponding angular frequency; (4) phase spectrum that the phase spectrum of sample is deducted reference signal obtains the phasic difference spectrum
(5) by the phasic difference spectrum that obtains
Corresponding angular frequency is asked second derivative
Calculate and extract the characteristic absorpting spectrum of testing sample at terahertz wave band.
Wherein, the terahertz time-domain waveform obtains reference signal and the phase spectrum of testing sample in the effective frequency range of this system by Fourier transform in the step (3).
Wherein, the terahertz time-domain waveform of measuring in step (1) and (2) is the terahertz time-domain waveform in the one-dimensional measurement.
Wherein, the terahertz time-domain waveform of measuring in step (1) and (2) is the terahertz time-domain waveform in the two-dimensional measurement.
Wherein, described testing sample is the organic compound material of low pole.
Utilize the reflective terahertz light spectral analysis method of elimination phase error of the present invention, can effectively eliminate the phase error that reference signal causes, computation process of the present invention is compared easier with traditional method, and can overcome water vapor absorbs, the measurement that is applicable to the experimental system with atmospheric attenuation is calculated, and has reached beneficial technical effects.
Description of drawings
Fig. 1 is the synoptic diagram of the reflective tera-hertz spectra analytical equipment of elimination phase error;
Fig. 2 is traditional treatment method and method of the present invention extraction result to the characteristic absorpting spectrum of theophylline.Wherein: curve 1 is to utilize traditional disposal route, calculates the Terahertz characteristic absorpting spectrum of theophylline by artificial elimination phase error; Curve 2 is the Terahertz characteristic absorpting spectrums that calculate bitter edible plant alkali by the present invention.
Fig. 3 be method of the present invention to explosive--the result of hexogen (RDX).Wherein, curve 1 is that humidity is 0 o'clock, by the phasic difference spectrum of sample and reference signal corresponding angular frequency is asked second derivative, promptly
Calculate the characteristic absorpting spectrum of explosive hexogen (RDX).Curve 2 be humidity be 17% o'clock by
Calculate the characteristic absorpting spectrum of explosive hexogen (RDX); Curve 3 be humidity be 64% o'clock by
Calculate the characteristic absorpting spectrum of explosive hexogen (RDX).
Fig. 4 be traditional treatment method and method of the present invention to explosive 2, the extraction result of the characteristic absorpting spectrum of 4-DNT.Wherein: curve 1 is to utilize traditional disposal route, calculates explosive 2 by artificial elimination phase error, the characteristic absorpting spectrum of 4-DNT; Curve 2 is to calculate explosive 2 by the present invention, the characteristic absorpting spectrum of 4-DNT.
Description of reference numerals
M1-M6: catoptron; PM1-PM4: throw the face mirror; 1: beam splitter; 2: chopper; 3: the Terahertz emitter; 4: specimen holder; 5: polaroid; 6: electro-conductive glass ITO; 7: crystal detection; 8: quarter-wave plate; 9: Wollaston prism; 10: difference detector; The I-pump light; II-surveys light.
Embodiment
For shape of the present invention, structure and characteristics can be understood better, below will enumerate preferred embodiment and also be elaborated in conjunction with the accompanying drawings.
Fig. 1 is the synoptic diagram of the reflective tera-hertz spectra analytical equipment of elimination phase error, employed LASER Light Source is the titanium jewel femto-second laser that Spectra-Physics makes in this device, laser power 0.90W, pulse width 100fs, repetition frequency 82MHz, centre wavelength 800nm.
As shown in Figure 1, the femtosecond laser of laser instrument generation is divided into two-beam through beam splitter 1: transmitted light and reflected light.A branch of light of transmission is pretended and is pump light I, and it incides on the Terahertz emitter 3 after catoptron is adjusted light path, and this Terahertz emitter 3 is a P type InAs crystal.Between beam splitter 1 and catoptron, be provided with chopper 2, with the output pulse of modulated pumping light I.On Terahertz emitter 3, pump light I produces THz wave by the optical rectification effect.
The THz wave that produces is adjusted light path by throwing face mirror and catoptron, and focuses on the testing sample that places on the specimen holder 4, reflects through testing sample.The THz wave that is reflected so just can be carried the information of testing sample.THz wave after the reflection focuses on through the collimation of a plurality of throwing face mirrors, and is reflected by electro-conductive glass 6, and focuses on the crystal detection 7, and crystal detection 7 is the ZnTe crystal, and electro-conductive glass 6 is an I TO electro-conductive glass.
A branch of light of reflection is surveyed light II and is adjusted into horizontal polarization light through polaroid 5 as surveying light II, sees through I TO electro-conductive glass 6 by mirror M 6 reflection backs, incides on the focus point of THz wave on the crystal detection 7.In crystal detection 7 inside, survey light II and modulated, so that survey by the method for electro-optic sampling by the Terahertz electric field.
Passed through quarter-wave plate 8 by the detection light II after the modulation of Terahertz electric field, make detection light II when beginning to measure, be adjusted to o light and the e light that light intensity equates, orthogonal o light in this polarization direction and e light by wollaston prism 9 separately connect lock-in amplifier by difference detector 10 and survey then.This lock-in amplifier is connected with chopper 2, to extract terahertz signal.The result who detects carries out data acquisition, processing by computing machine, obtains the time domain waveform figure of THz wave.
Above-mentioned is the terahertz light spectral analysis system of one dimension light spectrum image-forming, and what obtain is the terahertz time-domain waveform of a single point in the testing sample, obtains the characteristic absorpting spectrum of this point by subsequent treatment.The present invention also can carry out the two-dimension spectrum imaging, and corresponding two-dimension spectrum imaging system need be fixed on testing sample on the two-dimentional accurate electronic control translation stage, and it is mobile to carry out two dimension, thus the characteristic absorpting spectrum that obtains in the testing sample being had a few.Concrete Terahertz two-dimension spectrum imaging system is as follows:
The femtosecond laser that laser instrument produces is divided into two-beam through beam splitter 1: transmitted light and reflected light.A branch of light of transmission is pretended and is pump light I, and it incides on the Terahertz emitter 3 after catoptron is adjusted light path, and this Terahertz emitter 3 is a P type InAs crystal.Between beam splitter 1 and catoptron, be provided with chopper 2, with the output pulse of modulated pumping light I.On Terahertz emitter 3, pump light I produces THz wave by the optical rectification effect.
Testing sample whenever moves a point under the drive of the accurate electronic control translation stage of two dimension, measure once this terahertz time-domain spectroscopy signal, finish up to each point on the testing sample is all measured, so just obtained the terahertz time-domain spectroscopy signal of each point on the testing sample.By to the collection of measurement data with handle the two-dimension spectrum image that just can obtain testing sample.
THz wave after the reflection focuses on through the collimation of a plurality of throwing face mirrors, and by 6 reflections of ITO electro-conductive glass, and focus on the crystal detection 7, crystal detection 7 is the ZnTe crystal.
A branch of light of reflection is surveyed light II and is adjusted into horizontal polarization light through polaroid 5 as surveying light II, sees through ITO electro-conductive glass 6 by mirror M 6 reflection backs, incides on the focus point of THz wave on the crystal detection 7.In crystal detection 7 inside, survey light II and modulated, so that survey by the method for electro-optic sampling by the Terahertz electric field.
Passed through quarter-wave plate 8 by the detection light II after the modulation of Terahertz electric field, make detection light II when beginning to measure, be adjusted to o light and the e light that light intensity equates, orthogonal o light in this polarization direction and e light by wollaston prism 9 separately connect lock-in amplifier by difference detector 10 and survey then.This lock-in amplifier is connected with chopper 2, to extract terahertz signal.The result who detects carries out data acquisition, processing by computing machine, obtains the time domain waveform figure of THz wave.
The reflective terahertz light spectral analysis method of elimination phase error of the present invention adopts above-mentioned experimental provision to carry out, and comprises the steps:
1, on specimen holder 4, places the Terahertz completely reflecting mirror, measure the reference signal terahertz time-domain waveform when not placing sample.
2, testing sample is positioned over specimen holder 4 places, measures the terahertz time-domain waveform that is loaded with testing sample information.
3, obtain reference signal and the phase spectrum of testing sample in the effective frequency range of this device respectively by the terahertz time-domain waveform
ω is corresponding angular frequency.
Obtain phase spectrum in the effective frequency range by the terahertz time-domain waveform
Method can be to adopt the mode that the terahertz time-domain waveform is carried out Fourier transform to obtain.
4, the phase spectrum that the phase spectrum of sample is deducted reference signal obtains the phasic difference spectrum
The phasic difference spectrum is asked second derivative to corresponding angular frequency
Thereby can extract the characteristic absorpting spectrum of hexogen (RDX) at terahertz wave band.
Under the situation of not considering signal attenuation, can not introduce reference signal, and following formula is reduced to
According to the characteristic absorpting spectrum that obtains, can carry out the analysis and the discriminating of sample.Owing to used approximate in the resonable opinion of the terahertz light spectral analysis method of the present invention derivation, these approximate organic compound materials that only are applicable to low pole, so method of the present invention is applicable to the organic compound material of low pole, as explosive, drugs and amino acid etc., can play an important role at aspects such as safety inspection protection.
Obtain the present invention
The theoretical derivation process in removed the influence of reference signal to detecting, therefore can overcome the error that reference signal causes.Method of the present invention is with respect to the utilization numeral corrected Calculation method of mentioning in the background technology and utilize the K-K transformation relation to eliminate the method for error, and its calculating is simpler.And because the signal of reference signal and testing sample measures by same experimental system, therefore have identical atmospheric attenuation, subtract each other, can effectively remove the error that atmospheric attenuation causes by the two.
For the ease of understanding, below right
The absorption spectra that can be used for being illustrated in terahertz wave band low pole organic compound material is carried out concise and to the point theoretical derivation.
The complex index of refraction of material can obtain from the Lorentz model of vibration of dispersion theory.Involving vibrations is in all interior transition patterns, and the complex permittivity of material can be expressed as:
Wherein, ε
0And ε
∞The specific inductive capacity of material when being respectively ω=0 and ω=∞, γ is a damping constant, ω is a vibration frequency.In actual conditions,
Wherein, x is the disresonance magnetic susceptibility of material, and q is an effective charge, and m is an effective mass, and N is the structure cell number in the unit volume.And, the real part ε of specific inductive capacity
1With imaginary part ε
2Can be expressed as by submeter:
Vibration in the organic compound material between the molecule or between the phonon just is in terahertz wave band, when material is the low pole material, and Nq
2Value very little just, therefore, ε
1>>ε
2
Following relation is arranged between complex permittivity and the complex index of refraction:
Wherein, μ is a magnetic permeability, and it equals 1 at optical region.So:
This shows under the situation of the weak absorption that is caused by low pole, have:
Following formula shows, chromatic dispersion mainly is that the real part by material dielectric constant decides, and absorbing mainly is that imaginary part by material dielectric constant decides.And, be not very strong low pole organic compound for absorbing in the THz frequency range, the position of resonant frequency can by following approximate directly by
Obtain:
Wherein, n
∞Finger is in the refractive index of infinite frequency, and it is a constant.Under the approximate condition of low pole, the first order derivative of the position relative frequency of sample signal is determined by following formula:
As seen, for the low pole molecule,
Has identical curve shape (being positive and negative opposite) with κ.In fact, the relation of extinction coefficient κ and own second derivative derives from K-K and concerns: the imaginary part κ of complex index of refraction and real part n can be expressed as mutually the other side integration this just mean if n
AirCan be approximated to be constant, then the second derivative of sample signal position phase
The absorption characteristic that includes characterizing compounds molecular resonance frequency.But, if the absorption of water in air steam can not ignore,
Like this, need utilize the position phase of reference signal
Eliminate second in the following formula, promptly
Wherein δ L is meant the range difference of the reflecting interface of the reflecting interface of reference signal and sample signal.The value that following formula is second has a lot of determinatives, comprises the signal to noise ratio (S/N ratio) of humidity, propagation distance and the system of surrounding environment when measuring etc.Though generally can not carry out accurate quantitative Analysis to second, it should be noted that this to influence of absorption curve just water vapor absorb line near.As long as the absorption peak of material absorbs between the line (being so-called water vapor absorbing window) at two water vapor, second just can not influence material position phase character
Concrete, in one embodiment of the invention, theophylline is ground into powder, according to 2: 1 ratios theophylline and polyethylene powders are mixed, being pressed into diameter then is 13mm, thickness is the disk of 1mm.
At first on specimen holder 4, place catoptron, measure the terahertz time-domain waveform of the reference signal when not placing sample, then the bitter edible plant alkali testing sample of making is positioned on the specimen holder in the reflective terahertz time-domain spectroscopy device, measures the terahertz time-domain waveform of theophylline.
Terahertz time-domain waveform by reference signal and bitter edible plant alkali sample to be measured obtains reference signal and the phase spectrum of theophylline to be measured in the effective frequency range of this device by Fourier transform
The phase spectrum that the phase spectrum of sample is deducted reference signal obtains the phasic difference spectrum
Again corresponding angular frequency is asked second derivative
Obtain the characteristic absorpting spectrum of bitter edible plant alkali at terahertz wave band.
Fig. 2 is traditional treatment method and method of the present invention extraction result to the characteristic absorpting spectrum of bitter edible plant alkali.Wherein: curve 1 is to utilize traditional disposal route, calculates the characteristic absorpting spectrum of bitter edible plant alkali by artificial elimination phase error; Curve 2 be by
Calculate the characteristic absorpting spectrum of bitter edible plant alkali.
From two spectral lines of Fig. 2 as can be seen, terahertz light spectral analysis method of the present invention, the characteristic absorpting spectrum that characteristic absorpting spectrum that it draws and classic method draw is roughly the same in shape, peak value appears under the same frequency.Illustrate and utilize terahertz light spectral analysis method of the present invention, compare with classic method equally and can effectively eliminate the phase error that reference signal causes, but computation process is easier.
In an alternative embodiment of the invention, (RDX) is ground into powder with the explosive hexogen, according to 2: 1 ratios explosive hexogen (RDX) and polyethylene powders mixed, and being pressed into diameter then is 13mm, and thickness is the disk of 1mm.
At first on specimen holder 4, place catoptron, measure the terahertz time-domain waveform of the reference signal when not placing sample, then explosive hexogen (RDX) testing sample of making is positioned on the specimen holder in the reflective terahertz time-domain spectroscopy device, measures the terahertz time-domain waveform that is loaded with explosive hexogen (RDX) information.
Terahertz time-domain waveform by reference signal and explosive hexogen to be measured (RDX) sample obtains reference signal and the phase spectrum of explosive hexogen to be measured (RDX) in the effective frequency range of this device by Fourier transform
The phase spectrum that the phase spectrum of sample is deducted reference signal obtains the phasic difference spectrum
Again corresponding angular frequency is asked second derivative
Obtain the characteristic absorpting spectrum of explosive hexogen (RDX) at terahertz wave band.
Fig. 3 is the result of method of the present invention to explosive hexogen (RDX).Wherein, curve 1 is that humidity is 0 o'clock, and the phasic difference spectrum by sample and reference signal is asked second derivative to corresponding angular frequency, promptly by
Calculate the characteristic absorpting spectrum of explosive hexogen (RDX).Curve 2 be humidity be 17% o'clock by
Calculate the characteristic absorpting spectrum of explosive hexogen (RDX); Curve 3 be humidity be 64% o'clock by
Calculate the characteristic absorpting spectrum of explosive hexogen (RDX).
As can be seen from Figure 3, the characteristic absorpting spectrum that utilizes method of the present invention under different humidity, to obtain, roughly the same in shape, peak value appears under the same frequency.Terahertz light spectral analysis method of the present invention is described, all can obtains essentially identical result under different humidity, the influence that absorbed by water vapor is less, can be applicable to that the measurement of the experimental system with atmospheric attenuation is calculated.
In an alternative embodiment of the invention, with explosive 2,4-DNT is ground into powder, and with explosive 2,4-DNT and polyethylene powders mixed according to 2: 1 ratios, and being pressed into diameter then is 13mm, and thickness is the disk of 1mm.
At first on specimen holder 4, place catoptron, measure the terahertz time-domain waveform of the reference signal when not placing sample, then with the explosive of making 2, the 4-DNT testing sample is positioned on the specimen holder in the reflective terahertz time-domain spectroscopy device, measure and be loaded with explosive 2, the terahertz time-domain waveform of 4-DNT information.
By reference signal and explosive to be measured 2, the terahertz time-domain waveform of 4-DNT sample obtains reference signal and explosive to be measured 2 by Fourier transform, the phase spectrum of 4-DNT in the effective frequency range of this device
The phase spectrum that the phase spectrum of sample is deducted reference signal obtains the phasic difference spectrum
Again corresponding angular frequency is asked second derivative
Obtain explosive 2,4-DNT is at the characteristic absorpting spectrum of terahertz wave band.
Fig. 4 be traditional treatment method and method of the present invention to explosive 2, the extraction result of the characteristic absorpting spectrum of 4-DNT.Wherein: curve 1 is to utilize traditional disposal route, calculates explosive 2 by artificial elimination phase error, the characteristic absorpting spectrum of 4-DNT; Curve 2 be by
Calculate explosive 2, the characteristic absorpting spectrum of 4-DNT.
From two spectral lines of Fig. 4 as can be seen, terahertz light spectral analysis method of the present invention, the characteristic absorpting spectrum that characteristic absorpting spectrum that it draws and classic method draw is roughly the same in shape, peak value appears under the same frequency.Illustrate and utilize terahertz light spectral analysis method of the present invention, compare with classic method equally and can effectively eliminate the phase error that reference signal causes, but computation process is easier
Utilize the reflective terahertz light spectral analysis method of elimination phase error of the present invention, compare equally with traditional method and can effectively eliminate the phase error that reference signal causes, but computation process is easier, and the present invention can overcome water vapor and absorb the measuring error that causes, the measurement that is applicable to the experimental system with atmospheric attenuation is calculated, and has reached beneficial technical effects.
The above description of this invention is illustrative, and nonrestrictive, and those skilled in the art is understood, and can carry out many modifications, variation or equivalence to it within spirit that claim limits and scope, but they will fall within the scope of protection of the present invention all.
Claims (5)
1. a reflective terahertz light spectral analysis method of eliminating phase error is characterized in that, comprises the steps:
The terahertz time-domain waveform of reference signal when (1) measurement is not placed sample;
(2) measure the terahertz time-domain waveform that is loaded with testing sample information;
(3) obtain reference signal and the phase spectrum of testing sample in effective frequency range respectively by the terahertz time-domain waveform
ω is corresponding angular frequency;
(4) phase spectrum that the phase spectrum of sample is deducted reference signal obtains the phasic difference spectrum
2. the reflective terahertz light spectral analysis method of the elimination phase error described in claim 1, it is characterized in that the terahertz time-domain waveform obtains reference signal and the phase spectrum of testing sample in system's effective frequency range by Fourier transform in the step (3).
3. the reflective terahertz light spectral analysis method of the elimination phase error described in claim 1 is characterized in that, the terahertz time-domain waveform of measuring in step (1) and (2) is the terahertz time-domain waveform in the one-dimensional measurement.
4. the reflective terahertz light spectral analysis method of the elimination phase error described in claim 1 is characterized in that, the terahertz time-domain waveform of measuring in step (1) and (2) is the terahertz time-domain waveform in the two-dimensional measurement.
5. the reflective terahertz light spectral analysis method of the elimination phase error described in claim 1 is characterized in that, described testing sample is the organic compound material of low pole.
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CN104749133A (en) * | 2015-04-17 | 2015-07-01 | 西南科技大学 | Method for increasing resolution ratio of terahertz absorption spectrum by time-domain repair technology |
CN107515202A (en) * | 2017-08-17 | 2017-12-26 | 清华大学 | Terahertz light spectral analysis method, system and equipment |
CN109856641A (en) * | 2019-01-17 | 2019-06-07 | 北京农业信息技术研究中心 | The terahertz detection method of poultry vivo biodistribution chip |
WO2019153460A1 (en) * | 2018-02-06 | 2019-08-15 | 深圳市无牙太赫兹科技有限公司 | Atr mode-based material composition identification method, device, and computer apparatus |
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Cited By (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN104749133A (en) * | 2015-04-17 | 2015-07-01 | 西南科技大学 | Method for increasing resolution ratio of terahertz absorption spectrum by time-domain repair technology |
CN107515202A (en) * | 2017-08-17 | 2017-12-26 | 清华大学 | Terahertz light spectral analysis method, system and equipment |
WO2019153460A1 (en) * | 2018-02-06 | 2019-08-15 | 深圳市无牙太赫兹科技有限公司 | Atr mode-based material composition identification method, device, and computer apparatus |
CN109856641A (en) * | 2019-01-17 | 2019-06-07 | 北京农业信息技术研究中心 | The terahertz detection method of poultry vivo biodistribution chip |
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