CN107290057B - A kind of calibrating method playing light modulation Fourier trasform spectroscopy - Google Patents
A kind of calibrating method playing light modulation Fourier trasform spectroscopy Download PDFInfo
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- CN107290057B CN107290057B CN201710572176.8A CN201710572176A CN107290057B CN 107290057 B CN107290057 B CN 107290057B CN 201710572176 A CN201710572176 A CN 201710572176A CN 107290057 B CN107290057 B CN 107290057B
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- 238000012937 correction Methods 0.000 claims abstract description 30
- 238000001228 spectrum Methods 0.000 claims abstract description 27
- SBIBMFFZSBJNJF-UHFFFAOYSA-N selenium;zinc Chemical compound [Se]=[Zn] SBIBMFFZSBJNJF-UHFFFAOYSA-N 0.000 claims description 14
- 230000000694 effects Effects 0.000 claims description 10
- 230000003068 static effect Effects 0.000 claims description 10
- 241000208340 Araliaceae Species 0.000 claims description 2
- 235000005035 Panax pseudoginseng ssp. pseudoginseng Nutrition 0.000 claims description 2
- 235000003140 Panax quinquefolius Nutrition 0.000 claims description 2
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- 238000005096 rolling process Methods 0.000 claims 1
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- 238000002474 experimental method Methods 0.000 abstract description 3
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- PFNQVRZLDWYSCW-UHFFFAOYSA-N (fluoren-9-ylideneamino) n-naphthalen-1-ylcarbamate Chemical compound C12=CC=CC=C2C2=CC=CC=C2C1=NOC(=O)NC1=CC=CC2=CC=CC=C12 PFNQVRZLDWYSCW-UHFFFAOYSA-N 0.000 description 3
- 238000004458 analytical method Methods 0.000 description 2
- 150000001875 compounds Chemical class 0.000 description 2
- 239000002178 crystalline material Substances 0.000 description 2
- 238000005516 engineering process Methods 0.000 description 2
- 238000005259 measurement Methods 0.000 description 2
- 239000010453 quartz Substances 0.000 description 2
- 238000005070 sampling Methods 0.000 description 2
- VYPSYNLAJGMNEJ-UHFFFAOYSA-N silicon dioxide Inorganic materials O=[Si]=O VYPSYNLAJGMNEJ-UHFFFAOYSA-N 0.000 description 2
- NAWXUBYGYWOOIX-SFHVURJKSA-N (2s)-2-[[4-[2-(2,4-diaminoquinazolin-6-yl)ethyl]benzoyl]amino]-4-methylidenepentanedioic acid Chemical compound C1=CC2=NC(N)=NC(N)=C2C=C1CCC1=CC=C(C(=O)N[C@@H](CC(=C)C(O)=O)C(O)=O)C=C1 NAWXUBYGYWOOIX-SFHVURJKSA-N 0.000 description 1
- 230000010748 Photoabsorption Effects 0.000 description 1
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- 238000001514 detection method Methods 0.000 description 1
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- 238000009615 fourier-transform spectroscopy Methods 0.000 description 1
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- 208000014733 refractive error Diseases 0.000 description 1
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- GTLQJUQHDTWYJC-UHFFFAOYSA-N zinc;selenium(2-) Chemical compound [Zn+2].[Se-2] GTLQJUQHDTWYJC-UHFFFAOYSA-N 0.000 description 1
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- G01J—MEASUREMENT OF INTENSITY, VELOCITY, SPECTRAL CONTENT, POLARISATION, PHASE OR PULSE CHARACTERISTICS OF INFRARED, VISIBLE OR ULTRAVIOLET LIGHT; COLORIMETRY; RADIATION PYROMETRY
- G01J3/00—Spectrometry; Spectrophotometry; Monochromators; Measuring colours
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Abstract
The present invention relates to playing in light modulation Fourier transform spectrometer, light modulation interference signal is played after discrete Fourier transform, the calibrating method of frequency spectrum, including：In playing light modulation Fourier transform spectrometer, as reference using one-wavelength laser, the maximum optical path difference of laser interference figure is measured, using this maximum optical path difference as parameter, realizes the frequency spectrum calibration for rebuilding spectrum；But surveyed maximum optical path difference is relevant with the refractive index of the wavelength of incident light, crystal.Therefore, it when realizing reconstruction spectral calibration with the maximum optical path difference that reference laser measures, needs to be corrected；Timing usesFormula is corrected the refractive index of various discrete point.Due to the n in formula0(N)、fc(N) it is unknown quantity, in correction course, f is replaced using f (N)c(N), f is calculatedc(N) then the refractive index corresponding to realizes the correction of frequency coordinate.Frequency after correction by experiment introduce the secondary correction of error again.The discrete frequency values of rebuild spectral intensity values and correction are finally based on, realize the calibration for rebuilding spectrum.
Description
Technical field
The present invention relates to play light modulation Fourier Transform Spectroscopy field to be more specifically related to a kind of bullet light modulation
The calibrating method of Fourier trasform spectroscopy, the calibrating method of the spectrum are related to playing the maximum optical path difference and folding of light modulation interference pattern
Penetrate rate, the relationship of wavelength；Various discrete frequency values after Fourier transformation are carried out with maximum optical path difference parameter acquiring with reference light
Calibration needs the problem of carrying out compensation of refractive index；And the frequency compensation method based on refractive index.
Background technology
Have that measuring speed is fast, spectrum model using the bullet light modulation Fourier transform spectrometer, for playing optical modulator as interferometer
The advantages that wide, anti-seismic performance is good is enclosed, there is potential using value in transient state spectrographic detection field.Optical modulator is played as bullet light tune
The critical piece of interferometer processed is made of bullet luminescent crystal and piezoelectric quartz crystal.Wherein, luminescent crystal is played as thang-kng crystal,
It realizes the adjusting of light beam based on elasto-optical effect, generates interference pattern.
In order to be based on playing light modulation interference pattern, the spectral information of incoming signal is rebuild, the maximum light for detecting interference pattern is needed
Path difference parameter.In common time-modulation type Fourier transform spectrometer, generally reference laser is used to measure interference pattern most
Big optical path difference.In Fourier transformation, the frequency resolution of Fourier transformation is described with frequency sampling interval delta f, indicates spectrum point
The minimum interval of discernmible two spectrum components in analysis, and this interval and continuous signal time domain duration T at anti-
Than.Continuous signal is reflected in the duration of time domain in interference pattern, then is the maximum optical path difference of interference pattern.Play optical modulator
The refractive index for playing luminescent crystal is not steady state value, it is variable related with the wavelength of incident light, temperature.This is allowed for identical
Under strained condition, for different incident optical signals, plays the phase-delay quantity that optical modulator generates and be different.
It typically uses the laser of 808nm as light source is referred to, measures the maximum optical path difference for playing light modulation interference pattern, and be based on
This parameter, frequency spectrum calibrated error will be brought by setting the discrete interval Frequency point of frequency domain.Light modulation interference is played in order to accurately rebuild
The spectrogram of figure realizes the accurate calibration of frequency coordinate, it is necessary to which the calibrating method to playing photoabsorption modulation light spectrogram is improved.
Invention content
In the presence of overcoming the shortcomings of the prior art, the present invention, which provides, a kind of playing light modulation Fourier trasform spectroscopy
Calibrating method, this method can realize that the rebuilding spectrum of the Fourier transformation interference pattern based on bullet optical modulator and frequency spectrum are accurately fixed
Mark.
In order to solve the above-mentioned technical problem, the technical solution adopted in the present invention is：
A kind of calibrating method playing light modulation Fourier trasform spectroscopy, follows the steps below：
Step 1：Use one-wavelength laser for light source, bullet optical modulator is thang-kng crystal, and bullet light is calculated using following formula
The maximum optical path difference of interferometric modulator figure,
In above formula, d is the thickness for playing optical modulator optical direction, and λ is the wavelength of incident light, nr0(λ) is crystal in the wave
Refractive index under long, δ0For maximum modulation stress, π12,π11For the stress elasto-optical coefficient tensor of different optical directions；
Step 2：Using maximum optical path difference obtained above as parameter, the mark of discrete Fourier transform spectrum abscissa is obtained
Determine parameter；
Step 3：Each Frequency point of discrete Fourier transform spectrum abscissa is the static state folding with the discrete point in frequency
It penetrates rate and acquisition is corrected to the calibrating parameters of discrete Fourier transform spectrum abscissa.
Step 4：Frequency point coordinates correction-based realizes the frequency spectrum calibration for rebuilding spectrum.
In the step 2, in discrete Fourier transform, each frequency values calculated are：
In above formula, N is discrete Frequency point, and K is the points of discrete Fourier transform, and f (N) is discrete frequency values.
In the step 3, the error based on refractive index, the correction of various discrete frequency values is public after discrete Fourier transform
Formula is：
In above formula, nr0=2.5242, which is refractive index of the ZnSe crystal in 808nm wavelength in the environment of 23 DEG C,
fc(N) it is the discrete frequency values after correction；N (N) is the refractive index of n-th discrete point in frequency after correction.
In formula, n0(N)、fc(N) it is unknown quantity, in correction course, f is replaced using f (N)c(N), by following
Formula calculates fc(N) refractive index corresponding to：
After power correction, then using the monochromatic light of different wave length as signal source, two are carried out to the error introduced in algorithm
Secondary correction, modified index of refraction parameter.
The bullet optical modulator is made of piezo-electric crystal and ZnSe crystal, and ZnSe crystal is as thang-kng element, for lateral bullet
Luminous effect.
The one-wavelength laser uses the narrow band laser of 808nm wavelength.
Compared with prior art, the advantageous effect of present invention is that：
It is function of wavelength the present invention is based on the static refractive index of luminescent crystal is played, and the maximum light path measured with reference laser
Difference realizes the abscissa calibration of the Frequency point of discrete Fourier transform.Using this method, it can be achieved that playing light modulation interference pattern non-
After uniform Fast Fourier Transform (FFT), frequency scaling is carried out.
Description of the drawings
Fig. 1 is the compound bullet light modulation interference pattern of multiple laser of narrowband of the present invention；
The index of refraction diagram of Fig. 2 Znse crystal at different wavelengths；
Fig. 3 is the reconstruction spectrogram of the present invention demarcated with reference laser；
Fig. 4 is the calibration spectrogram after the power correction of the present invention；
Fig. 5 is the comparison figure of the frequency values and true value after the correction of the present invention；
Fig. 6 is the calibration spectrogram after the error compensation of the present invention.
Specific implementation mode：
Following will be combined with the drawings in the embodiments of the present invention, and technical solution in the embodiment of the present invention carries out clear, complete
Site preparation describes, it is clear that described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.It is based on
Embodiment in the present invention, it is obtained by those of ordinary skill in the art without making creative efforts every other
Embodiment shall fall within the protection scope of the present invention.
The bullet optical modulator of the present invention is made of piezo-electric crystal and ZnSe crystal, ZnSe crystal as thang-kng element,
It is lateral elasto-optical effect.Under stress drive, plays luminescent crystal and generate birefringence effect, refringence is answered with what is be subject to
Power, static refractive index n0, stress elasto-optical coefficient tensor it is related.And after crystalline material determination, stress elasto-optical coefficient tensor is solid
Determine parameter.
The maximum optical path difference of the bullet light modulation interference pattern of the present invention is to be measured by the laser interference figure of 808nm, and apply
Calibrating parameters of the maximum optical path difference of measurement as discrete Fourier transform spectrum abscissa.
The each Frequency point of abscissa of the discrete Fourier transform of the present invention should be ginseng with the static refringence of the frequency
Number measures maximum optical path difference, rather than with the static refractive index of the reference wavelength of 808nm, calculate maximum optical path difference.Therefore, it needs
The static refractive index for influencing maximum optical path difference parameter is corrected.
The present invention each discrete point in frequency updating formula be：
In formula, nr=2.5242, it is refractive index of the ZnSe crystal in 808nm wavelength under 23 DEG C of environment；n0(N) it is each
The static refractive index of discrete point in frequency.
In above formula, n0(N)、fc(N) it is unknown quantity, in correction course, f is replaced using f (N)c(N), f is calculatedc
(N) refractive index corresponding to.The relationship of refractive index and frequency is：
After correction, then pass through experiment progress error correction.
To keep the purpose of the present invention, technical solution, feature more prominent, the specific implementation below in conjunction with attached drawing to invention
It is illustrated.
In playing light modulation Fourier transform spectrometer, optical modulator is played as its static interferometer, when radiating light source passes through
The polarizer generates two beam o light and e light, this two-beam generates phase delay, realizes two-beam interference when passing through modulator, production
It is raw to play light modulation interference pattern.
It is the Primary Component for generating interference pattern to play optical modulator, helps to understand that playing light modulation interferes to the analysis of its characteristic
Figure.
It is the resonating device being made of bullet luminescent crystal ZnSe and quartz crystal to play optical modulator.Its operation principle is：Piezoelectricity
Crystal generates strain under the action of extraneous electric signal, based on inverse piezoelectric effect, which causes the inverse dielectric for playing luminescent crystal
Measure ηijMicrovariations.
ZnSe crystal belongs to cubic systemCrystal class, for designed bullet optical modulator, the machinery that is subject to
Stress is single direction, and crystal is in free vibrational flexing pattern, and physical limit, therefore the bullet light are not present at crystal edge
The stress elasto-optical coefficient tensor of crystal only has π11π12π13π44, wherein
The stress elasto-optical coefficient matrix of zinc selenide crystal can be written as：
It is assumed that zinc selenide crystal along x1Axis direction generates strain σ1, the relationship of dielectric isolation rate tensor and stress tensor is：
Δβm=βm-β0 m=πmnσn, (m, n=1,2 ..., 6) (2)
By formula (1) and (2), can obtain：
Since zinc selenide crystal belongs toCrystal class, as cubic crystal, thereforeBy formula (3) band
Entering index ellipsoid equation has：
The formula shows that crystal refractive index ellipsoid becomes three-axial ellipsoid from original sphere, that is, crystal from optics respectively to
Same sex body becomes biaxal crystal, but three major axes orientations do not change.
Can solve three principal refractive indexs using formula (4) is respectively
If along x1Axis direction thang-kng (longitudinal effect), then phase difference is
Wherein, d is the thickness of crystal optical direction, and λ is the wavelength of incident light；
If along x2And x3Axis direction thang-kng (transversal effect), phase difference are respectively
There is π for homogeneous material zinc selenide12=π13, thus longitudinal elasto-optical effect is not present in it.
In the present solution, selecting x3Axis direction thang-kng, final refringence and position difference are：
For polygon-octagonal bullet ray crystal structure, resonance mode is two-dimentional in plane vibration, and strain is one-dimensional vibration
Twice, thus refringence and position difference are twice of one-dimensional case, i.e.,：
(10), (11) provide the relationship of refringence and position difference and stress.
From formula (10) it is found that the refringence for playing optical modulator is and the stress, the refractive index n that are subject to0, stress elasto-optical coefficient
Tensor is related.
Meanwhile the refractive index of crystal is the function n of wavelength0(λ), for the incident light of different wave length, refractive index is not
It is identical；And after crystalline material has been determined, stress elasto-optical coefficient tensor is fixed parameter.
For one-dimensional bullet optical modulator, stress distribution is：
δ (x, t)=δ0cos(πx/L)sin(ωt-ψ) (12)
Wherein, δ0It is maximum modulation stress, t is the time, and ψ is initial phase, and L is the length for playing luminescent crystal, space variable x's
Range is from 0 to L.
In the central point for playing luminescent crystal, the strain minimum of generation, stress are maximum.If initial phase is zero, then have：
δ (t)=δ0sin(ωt)
Above formula is substituted into (10), (11), while considering that refractive index is the function of wavelength, then is had：
As can be seen that in one timing of thickness for playing luminescent crystal from phase delay formula (11), the transient state of optical modulator is played
Birefringence difference Δ n is bigger, and phase-delay quantity is bigger.The maximum optical path difference for generating interference pattern is also bigger, so that rebuilding
The spectral resolution of spectrum is improved.
For monochromatic light after playing the modulation of light modulation interferometer, the interference pattern of generation can be used following formula to be expressed as：
When incident light is polychromatic light, through playing light modulation interferometer, generates interference pattern and be represented by：
From formula (16), it is assumed that refractive index is definite value, then interference pattern only has with incident optical signal, driving stress signal
It closes.
With the laser of 808nm (wave number 12376) be reference, by wave number be 2020,3000,5000,8000,15000 six
Kind narrow band light carries out compound, interference pattern such as Fig. 1 of generation.
In order to rebuild the spectrogram of radiation source by interference pattern, inverse discrete Fourier transform algorithm need to be used to realize.
In Fourier transformation, the frequency resolution of Fourier transformation is described with frequency sampling interval delta f, indicates spectrum analysis
In discernmible two spectrum components minimum interval, and the duration T in time domain of this interval and continuous signal is at anti-
Than.Continuous signal is reflected in the duration of time domain in interference pattern, then is the maximum optical path difference of interference pattern.
In order to realize the frequency demarcating of abscissa, then the maximum optical path difference for measuring interference pattern is needed.
In spectrum calibration method of the present invention, uses wavelength to be used as the narrow band laser of 808nm and refers to light source,
Measure the transient state maximum optical path difference of interference pattern.
Play light modulation interference pattern transient state optical path difference be：
D is the thickness of crystal optical direction in formula, and λ is the wavelength of incident light；n0(λ) is refraction of the crystal in the wavelength
Rate；δ0It is maximum modulation stress；π12,π11The stress elasto-optical coefficient tensor of different optical directions.
Play light modulation interference pattern maximum optical path difference be：
N in formular0(λ) is refractive index of the reference laser in the crystal.
In Fourier transformation frequency spectrum, frequency resolution is：
In discrete Fourier transform, the index of each Frequency point is：
In formula, N is discrete Frequency point, and K is the points of discrete Fourier transform, and f (N) is discrete frequency values.
By formula (20) it is found that under driving voltage, crystalline size certain condition, the coordinate of each Frequency point is and different waves
The cube of refractive index is relevant under long (wave number).And the refractive index of crystal at different wavelengths is a variable, such as Fig. 2
It is shown.
In playing light modulation Fourier transform spectrometer, use wavelength for the laser measurement maximum optical path difference of 808nm, and real
Existing frequency spectrum calibration.Fig. 3 is with the spectrogram of the laser scaling of 808nm.Because introducing refractive error in this calibration, so weight
The spectrogram wave number built is wrong.
For the abscissa error for overcoming refractive index to introduce, the refractive index parameter of each Frequency point need to be utilized to be corrected.
For ZnSe crystal as thang-kng crystal, spectral window is 0.54~18.2 μm (wave number is 549.45~18518), folding
The relationship for penetrating rate and wavelength is：
In formula, α1=4.45813734, α2=0.467216334, α3=2.89566290, β1=0.200859853, β2=
0.391371166, β3=47.1362108
The relationship for being converted to refractive index and wave number is：
In formula, k=10000.According to formula (22), the refractive index under different wave numbers can be calculated.
By formula (12) it is found that each frequency coordinate of discrete Fourier transform is inversely proportional with the cube of refractive index,
In order to eliminate the error introduced by reference laser refractive index, formula (24) can be used and be corrected.
In formula, nr0=2.5242, it is refractive index of the ZnSe crystal in 808nm wavelength under 23 DEG C of environment；fc(N) it is
Discrete frequency values after correction；N (N) is the refractive index of n-th discrete point in frequency after correction.
In formula (24), n (N), fc(N) it is unknown quantity, is gradual process in view of refractive index, in correction course
In, using f (N), its corresponding refractive index is calculated using formula (23).Instead of the refractive index n (N) of the check point in formula.
Based on the bearing calibration of formula (24), the spectrogram after being corrected, as shown in Figure 4.Because there are two unknown numbers,
The error of some calibrations can be introduced, as shown in Figure 5.Error after near infrared band, correction is smaller, meets bullet light tune
The index request of Fourier transform spectrometer, processed；And it is big in visible light wave range application condition.It needs to carry out secondary correction.
Secondary correction, using the method for experiment correction, refractive index is modified so that entire service band satisfaction is wanted
It asks, as shown in Figure 6.
The foregoing is merely the preferred implementation technologies and data processing method of the present invention, are not limited in the present invention.To this
For the technical staff in field, under the premise of not departing from the implementation principle of the present invention, improvement, the polishing made also belong to this
The protection domain of invention.
Claims (7)
1. a kind of calibrating method playing light modulation Fourier trasform spectroscopy, it is characterised in that：
Step 1：Use one-wavelength laser for light source, bullet optical modulator is thang-kng crystal, and bullet light modulation is calculated using following formula
The maximum optical path difference of interference pattern,
In above formula, d is the thickness for playing optical modulator optical direction, and λ is the wavelength of incident light, nr0(λ) be crystal at that wavelength
Refractive index, δ0For maximum modulation stress, π12,π11For the stress elasto-optical coefficient tensor of different optical directions；
Step 2：Using maximum optical path difference obtained above as parameter, the calibration ginseng of discrete Fourier transform spectrum abscissa is obtained
Number；
Step 3：Each Frequency point of discrete Fourier transform spectrum abscissa is the static refractive index with the discrete point in frequency
Acquisition is corrected to the calibrating parameters of discrete Fourier transform spectrum abscissa；
Step 4：Frequency point coordinates correction-based realizes the frequency spectrum calibration for rebuilding spectrum.
2. a kind of calibrating method playing light modulation Fourier trasform spectroscopy according to claim 1, it is characterised in that：It is described
In step 2, in discrete Fourier transform, each frequency values calculated are：
In above formula, N is discrete Frequency point, and K is the points of discrete Fourier transform, and f (N) is discrete frequency values.
3. a kind of calibrating method playing light modulation Fourier trasform spectroscopy according to claim 2, it is characterised in that：It is described
In step 3, the error based on refractive index, the updating formula of various discrete frequency values is after discrete Fourier transform：
In above formula, nr0=2.5242, which is refractive index of the ZnSe crystal in 808nm wavelength in the environment of 23 DEG C, fc
(N) it is the discrete frequency values after correction；n0(N) it is the static refractive index of each discrete point in frequency.
4. a kind of calibrating method playing light modulation Fourier trasform spectroscopy according to claim 3, it is characterised in that：In public affairs
In formula, n0(N)、fc(N) it is unknown quantity, in correction course, f is replaced using f (N)c(N), it is calculated by the following formula fc
(N) refractive index corresponding to：
In above formula, n (N) is the refractive index of n-th discrete point in frequency after correction；The song of refractive index and wavelength based on ZnSe crystal
Line parameter, α1=4.45813734, α2=0.467216334, α3=2.89566290, β1=0.200859853, β2=
0.391371166, β3=47.1362108, k=10000.
5. a kind of calibrating method playing light modulation Fourier trasform spectroscopy according to claim 4, it is characterised in that：It is rolling over
After penetrating rate correction, then using the monochromatic light of different wave length as signal source, secondary correction is carried out to the error introduced in algorithm, corrects folding
Penetrate rate parameter.
6. a kind of calibrating method playing light modulation Fourier trasform spectroscopy according to claim 1, it is characterised in that：It is described
It plays optical modulator to be made of piezo-electric crystal and ZnSe crystal, ZnSe crystal is as thang-kng element, for lateral elasto-optical effect.
7. a kind of calibrating method playing light modulation Fourier trasform spectroscopy according to claim 1, it is characterised in that：It is described
One-wavelength laser uses the narrow band laser of 808nm wavelength.
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| CN103162834A (en) * | 2013-03-05 | 2013-06-19 | 中北大学 | Multi-reflection single elastic light modulation Fourier transformation spectrometer light path structure |
| CN103234635A (en) * | 2013-03-22 | 2013-08-07 | 中北大学 | Photoelastic-modulation Fourier transform interference imaging spectrometer |
| CN203719771U (en) * | 2014-01-03 | 2014-07-16 | 南京邮电大学 | Spectral measurement apparatus based on elasto-optical effect |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN103162834A (en) * | 2013-03-05 | 2013-06-19 | 中北大学 | Multi-reflection single elastic light modulation Fourier transformation spectrometer light path structure |
| CN103234635A (en) * | 2013-03-22 | 2013-08-07 | 中北大学 | Photoelastic-modulation Fourier transform interference imaging spectrometer |
| CN203719771U (en) * | 2014-01-03 | 2014-07-16 | 南京邮电大学 | Spectral measurement apparatus based on elasto-optical effect |
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| Title |
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| 《弹光调制傅里叶变换光谱复原高速数据处理技术研究》;张敏娟;《中国博士学位论文全文数据库》;20141215;第二章 * |
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