CN107247035A - A kind of method that Liquid Diffusion Coefficient is quickly measured based on height of observation such as wick-containing post lens - Google Patents
A kind of method that Liquid Diffusion Coefficient is quickly measured based on height of observation such as wick-containing post lens Download PDFInfo
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- G01N21/00—Investigating or analysing materials by the use of optical means, i.e. using sub-millimetre waves, infrared, visible or ultraviolet light
- G01N21/17—Systems in which incident light is modified in accordance with the properties of the material investigated
- G01N21/41—Refractivity; Phase-affecting properties, e.g. optical path length
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- G01N21/17—Systems in which incident light is modified in accordance with the properties of the material investigated
- G01N21/41—Refractivity; Phase-affecting properties, e.g. optical path length
- G01N2021/416—Visualising flow by index measurement
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Abstract
The invention discloses a kind of method for quickly measuring Liquid Diffusion Coefficient based on height of observation such as wick-containing post lens.The wick-containing post lens that the present invention is used are both as liquid phase diffusion cell, and be used as image-forming component.A certain height in cmos image acquisition system is selected as height of observation, to measure the relation between picture traverse, refractive index and concentration with two methods, the concentration information reflected according to image obtains Liquid Diffusion Coefficient by way of least square fitting.By taking the counterdiffusion system between 0.33mol/L KCL solution and 3mol/L KCL solution as an example, the height of observation method such as demonstrate, this method has measuring speed fast（It is approximately equal to 70min）, measured value is accurate（Relative error is less than 2%）The characteristics of.The further perfect method that Liquid Diffusion Coefficient is measured with wick-containing post lens of this method, it was demonstrated that the system for measuring Liquid Diffusion Coefficient using wick-containing post lens is stable, computational methods are various and measurement result accuracy is high.
Description
Technical field
The invention belongs to optical measurement Liquid Diffusion Coefficient technical field, and in particular to one kind is based on wick-containing post lens combination
It is quick, accurate measurement Liquid Diffusion Coefficient method --- wait height of observation method.Especially in conjunction with the refraction of biliquid stem lens
Rate sensitivity is high, have preferable aplanasia effect and aplanasia position in wider ranges of indices of refraction（Refractive index）It can adjust
Advantage, the refractive index spatial distributed intelligence that the diffusion image obtained according to cmos image acquisition system is reflected can quickly, it is accurate
Really measure Liquid Diffusion Coefficient.
Background technology
Diffusion coefficient is research mass transport process, calculates mass transfer rate and Chemical Engineering Design and the important foundation data of exploitation,
It is widely used in the emerging industries such as biology, chemical industry, medical science and environmental protection.Such as diffusion can be used for the industrial distillation efficiency of research and many
The reaction rate of pore catalyst, can control growth, corrosion of steel of penicillium bacteria etc..And Liquid Diffusion Coefficient it is main according to
Obtained by experimental method, i.e., the concentration distribution with room and time that measurement solution is diffuseed to form indirectly, according to diffusion Fick
Law calculates Liquid Diffusion Coefficient.The measuring methods such as traditional Taylor is scattered, holographic interference require that the stability of instrument and equipment is high,
Cost is expensive, and time of measuring is long, also simplifies without a kind of instrument, and can accurate, quickly measurement Liquid Diffusion Coefficient method.
Before the present invention is proposed, we pass through the post lens post-concentration focal position equipped with different liquids not according to directional light
The same and peculiar refractive index spatial resolution capability of post lens devises wick-containing post lens, and proposes that measurement liquid refractivity and liquid phase expand
Dissipate the method for coefficient.（General cloudling, Bai Ran, Xing Mannan etc., Chinese invention patent ZL200710066016.2 [P]；Li Qiang, Li Yu,
Sun Licun etc., Chinese invention patent ZL201110283339.3 [P]；Sun Licun, general cloudling, Meng Weidong etc., Chinese invention patent
201410440938.5[P]；Meng Weidong, Sun Licun, general cloudling etc., quickly measure Liquid Diffusion Coefficient-folding with wick-containing post lens
Rate spatial distribution instantaneous measurement method [J] is penetrated,（" Acta Physica Sinica ", 2015,64 (11), 114205-1 ~ 114205-7）；“New
method to measure liquid diffusivity by analyzing an instantaneous diffusion
image”[J],（Licun Sun, Weidong Meng, and Xiaoyun Pu, " OPTICS EXPRESS ", 2015,23
(18), 23155 ~ 23166）.
A good imaging quality, wide folding are devised to improve measurement refractive index and the precision of Liquid Diffusion Coefficient and the degree of accuracy
Penetrate in rate without biliquid stem lens the advantages of spherical aberration or spherical aberration be small and aplanasia position can be adjusted on demand（Meng Weidong, general cloudling,
Xia Yan etc., Chinese invention patent 2001610436334.2 [P]；.
With Taylor's dispersion method in conventional method, dynamic light scattering measurement method, fluorescence molecule spike mensuration, radioactivity member
Plain spike mensuration is compared with holographic interferometry, with etc. the method for refractive index thin layer traverse measurement Liquid Diffusion Coefficient be a kind of flat
More traditional method is greatly shortened the time required to equal measuring method and measurement, and strong antijamming capability, the stability of a system are good；Wink
State refractive index spatial distribution is that a kind of measuring method measurement efficiency of transient state is high, and the stability of measurement is lower slightly；But both compared with
Method progress in the past is obvious.The diffusion system unknown to some diffusion coefficients, is spread with wick-containing post lens combination measurement liquid phase
During coefficient, once waiting refractive index thin-layer method different with transient state refractive index spatial distribution measurement result, it is difficult to judge both
Which kind of is accurate for method measurement result.Therefore, a kind of measuring method that can be solved the above problems is developed to be very important.
The content of the invention
It is an object of the invention to provide it is a kind of based on wick-containing post lens combination it is quick, accurately measure Liquid Diffusion Coefficient
Method --- wait height of observation method.
The object of the present invention is achieved like this, comprises the following steps：
（1）Two kinds of solution diffusions start preceding at interface（Z=0）The initial concentration on both sides is respectivelyC 1WithC 2, the fixed diffuser of measurement
Tie up at a certain level altitude, change over time forms solution concentration distribution：
（1）；
According to above formula it can be seen that concentrationCIt is the function of position and time, i.e.,, the height fixed to one,CWhen being changed into
Between single function, i.e.,, for different diffusion coefficientsD, there is a series of concentration with Annual distribution, i.e.,,For one with diffusion coefficient and the two-dimentional concentration matrix of time change；
（2）The diffusion image obtained to experiment, measures the width of image in fixed position, reality is obtained according to width and concentration information
Concentration in testing with the time distribution；
（3）The concentration distribution that the concentration distribution that experiment is obtained is obtained from being calculated under different diffusion coefficients carries out least square method plan
Close, the best diffusion coefficient of fitting result is the diffusion coefficient of requirement of experiment.
Further to improve the method that Liquid Diffusion Coefficient is measured using wick-containing post lens, it was demonstrated that surveyed using wick-containing post lens
Measure Liquid Diffusion Coefficient system stabilization, computational methods are various and measurement result accuracy is high, the present invention utilizes wick-containing post lens（With
Biliquid stem lens）Advantage in terms of aplanasia, proposes one kind according to detector（CMOS）At upper same position（Sustained height）
The method that the diffusion image not collected in the same time calculates Liquid Diffusion Coefficient.
In the present invention Liquid Diffusion Coefficient is measured based on wick-containing post lens --- wait height of observation method to include：
Binary solution is axial along wick-containing post lens（It is defined asZAxle）Diffusion regard one-dimensional free diffusing process as, if two kinds expansion
Scattered solution is respectively A and B, and molar concentrations of the A in B isC,CEdgeZThe diffusion process of axle follows Fick second laws：
,（1）
C(Z, t) bet Moment is in positionZThe concentration at place；DIt is diffusion coefficient.
If spread before starting (t≤ 0) two kinds of solution interface (Z=0) initial concentration on both sides be respectivelyC 1With C 2, then
Formula（1）Solution meet,
,（2）
（2）In formulaIt is Gauss error function（Wherein,）.
To a diffusion system fixed, diffusion coefficientDIt is a constant, initial concentrationC 1With C 2, it is known that saturating in wick-containing post
The observed altitude that some in mirror diffusion system is fixed, positionZIt is also a constant.（2）Formula left end concentrationC(Z, t) it is the timetFunction of a single variable, right-hand memberEqually it is the timetFunction of a single variable.
Concentration in record experiment at a certain level altitude rule that changes with time can obtain（2）Left end concentration in formula
Relational expressionC(Z, t).Change（2）Formula right-hand member error functionMiddle diffusion coefficientDAnd the timetValue, can obtainZAt position one with diffusion coefficient and the two-dimentional concentration matrix of time change.The concentration relationship obtained to experimentThe concentration matrix obtained with calculatingThe fitting of least square method is carried out in different diffusion coefficient directions, is intended
Close result bestDIt is regarded as the diffusion coefficient that the experiment is measured.
Because this method is integrally fixed at a suitable height of observation（Position）, the refraction reflected according to picture traverse
Rate and concentration information, diffusion coefficient is calculated further according to concentration with the evolution process of time.Due to height of observation（The position of point of observation
Put）It is certain, so method is referred to as waiting height of observation method.
It is according to determination position due to calculatingZRelation between place's picture traverse and concentration calculates diffusion coefficientD, because
This, gathers positionZLocate picture traverse and refractive indexnAnd concentrationCBetween corresponding relation can accurately obtain be complete liquid phase expand
Dissipate the important step of coefficient measurement.
The present invention measures Liquid Diffusion Coefficient based on wick-containing post lens --- and wait height of observation law theory to derive：
Two kinds of solution diffusions start preceding at interface（Z=0）The initial concentration on both sidesC 1WithC 2, with the progress of diffusion, liquid refracting
Corresponding change can also occur for rate.According to formula（1）, by sustained heightZPlace's refractive index not in the same time calculates this when highly locating different
Carve dispersion solutions concentration：
,（3）
（3）FormulamWithC 0For constant, it can in advance be fitted and obtain before measurement diffusion coefficient by preparing the solution of various concentrations.
The following is for formula（3）In refractive indexWith diffusion image variation relation：
（1）Obtained by experimental method
With biliquid stem lens as shown in Figure 1 and experimental provision, it can be disappeared using biliquid stem lens in relative broad range ball
Liquid refractivity in wick-containing after poor the characteristics of, selection, makes its aplanasia in the range of diffusion system.Fixed displacement position of platform is
Selected refractive index thin layer blur-free imaging position, diffusion system aplanasia solution is injected in rear wick-containing, is injected not in preceding wick-containing
With the liquid of refractive index, obtained image is observed on the detector as shown in Fig. 2 being measured to the width of image.
Liquid refractivity in preceding wick-containing and correspondence image width are fitted according to the image that experiment is obtained.Can be by not
With a certain level altitude in diffusion image（Position）Locate to obtain in the fit correlation between the width substitution refractive index of image and width
Refractive index changes with time relation to measured height。
（2）The law of refraction, which is calculated, to be obtained
Half is a width ofhDirectional light incide on biliquid stem lens, as shown in Figure 3.It is when injecting refractive index before lens in wick-containingn cLiquid when, according to the law of refraction, the focal length of wick-containing post lens isf c.It is when injecting refractive index before lens in wick-containingn i （n i
It is likely larger thann c, it is also possible to it is less thann c）Liquid when, now the focal length of wick-containing post lens isf i , the folder of emergent ray and primary optical axis
Angle is,f cThe width of imaging is on the plane of vision fixed at position.As seen from Figure 4,f i ,WithIn the presence of
Following geometrical relationship
,（5）
Fix an observation thin layern cWhen, the position of cmos detector will be fixed, i.e.,f c, it is known that before by changing in wick-containing
Liquid refractivityn i , the width for obtaining image is, it is rightn i WithIt is fitted and obtains relational expression.By being adopted on cmos detector
The experimental image collected, according to obtained picture traverseRefraction at a certain level altitude can be tried to achieve by substituting into relational expression
Rate changes with time relation。
The present invention has following good effect：
Using wick-containing post lens combination with etc. height of observation measurement Liquid Diffusion Coefficient, with etc. refractive index thin layer Mobile Method（LI
Qiang, PU Xiao-Yun, YANG Rui-Fen, ZHAI Ying, " Measurement of Diffusion
Coefficient of Liquids by Using an Asymmetric Liquid-Core Cylindrical Lens:
Observing the Diffusion Process Directly " [J], " CHIN. PHYS. LETT ", 2014,31 (5),
054203-1~054203-4）With transient state refractive index spatial distribution（Meng Weidong, general cloudling, Sun Licun etc., Chinese invention patent
201410440938.5[P]；Licun Sun, Weidong Meng, and Xiaoyun Pu, New method to
measure liquid diffusivity by analyzing an instantaneous diffusion image,
[J], Optics Express, 23（18）：23155-23166,2015）The common perfect measuring method of Liquid Diffusion Coefficient,
Simultaneously can to etc. the accuracy of refractive index thin-layer method and transient state refractive index spatial distribution measurement result verify.Utilize
Refractive index sensitivity is high, can with the adjustable biliquid stem lens combination of aplanasia and aplanasia position in relative broad range（Meng Wei
East, general cloudling etc., Chinese invention patent 2016062000479260 [P].）True diffusion letter can be accurately reflected as far as possible
Breath, can more accurately measure the diffusion coefficient between two kinds of solution of refractive index 4/1000ths.
This method preferably solves that measuring speed present in traditional measurement Liquid Diffusion Coefficient process is slow, environment resistant is done
Disturb ability weak, the problems such as harsh is required to experiment condition, while refractive index thin-layer method and the transient states such as a kind of checking can also be provided
The new method of the accuracy of refractive index spatial distribution measurement result.
Present device is simple, with it is automatic, directly perceived, easily and fast, accurately two kinds of refractive index of measurement are less molten
The advantage of Liquid Diffusion Coefficient between liquid, its measurement accuracy and stability fully meet general scientific experiment and liquid phase are spread
Several requirements.
Brief description of the drawings
Fig. 1 is the experimental provision structural representation that the height of observation such as present invention method measurement Liquid Diffusion Coefficient is used；
In figure, the size of the radius of curvature of 3 six face formula biliquid stem lens is respectivelyR 1=|R 4|=45.0mm、R 2=|R 3|=
27.9mm、R 5=21.5mm, lens thickness and spacing are respectivelyd 1=d 4=4.0mm、d 2=d 3=3.0mm、d 5=3.2mm、d 6=
12.0mm, light line width 2h=17.6mm, the length of lensL=50.0mm, material isK9 glass refractionsn 0=1.5163.Imaging
System by a precision for 1 μm displacement platform and be fixed on the CMOS of displacement platform and constitute, CMOS size for 4096 ×
3072 pixels, each pixel dimension is 5. 5 μm of 5.5 μ m, and CMOS is connected with image acquisition computer；
A certain fixed observer plane epigraph width when Fig. 2 is injection different refractivity liquid in preceding wick-containing；
In figure, fixed plane of vision position（The position of the accurate focal imaging of selected refractive index thin layer in diffusion process）n c=
1.3376, the liquid refractivity that other images are injected in wick-containing post lens is respectively (a)n=1.3330, (b)n=1.3339,
(c) n=1.3347, (d)n=1.3364, (e)n=1.3376, (f)n=1.3394, (g)n=1.3414, (h)n=
1.3424, (i)n=1.3442, (j)n=1.3459, (k)n=1.3468, (l)n=1.3477, (m)n=1.3494, (n)n
=1.3513；
Fig. 3 is wick-containing post lens law of refraction imaging schematic diagram；
1 represents that injection refractive index is in current wick-containing in figuren cSolution when observation detector C MOS on accurate imaging；2 tables
Injection refractive index is in wick-containing before showingn i <n cSolution when on observation detector C MOS into disperse picture, the width of disperse picture isAC（I.e.）, the angle of light and primary optical axis is；3 represent that injection refractive index is in preceding wick-containingn i >n cSolution when observation visit
Survey on device CMOS into disperse picture, width is similarlyAC（I.e.）, the angle of light and primary optical axis is；
Fig. 4 is the image width and refractive index fit correlation figure of experiment measurement；
Fig. 5 is the image width and refractive index fit correlation figure of law of refraction imaging；
Fig. 6 is with wick-containing post lens measurement 0.33mol/L KCL diffusion coefficients part diffusion image.
Embodiment
With reference to case study on implementation and accompanying drawing, the present invention is further illustrated, but the present invention is not added in any way
To limit, based on present invention teach that any conversion or replacement made, belong to protection scope of the present invention.
The side of the present invention that Liquid Diffusion Coefficient is measured based on the quick high-accuracy of the height of observation such as wick-containing post lens
Method, comprises the following steps：
（1）Two kinds of solution diffusions of measurement start preceding at interface（Z=0）The initial concentration on both sidesC 1WithC 2, calculate a fixed expansion
Granular media ties up to a certain level altitudeZPlace, change over time（With the progress of diffusion）Form solution concentration distribution：
（1）；
According to above formula it can be seen that concentrationCIt is the function of position and time, i.e.,, the height fixed to one,CIt is changed into
The single function of time, i.e.,, for different diffusion coefficientsD, there is a series of concentration with Annual distribution, i.e.,,For one with diffusion coefficient and the two-dimentional concentration matrix of time change；
（2）The diffusion image obtained to experiment, measures the width of image in fixed position, reality is obtained according to width and concentration information
Concentration in testing with the time distribution；
（3）Obtained concentration distribution will be tested and carry out least square fitting from the concentration distribution obtained under different diffusion coefficients,
The best diffusion coefficient of fitting result is the diffusion coefficient of requirement of experiment.
The method that described change over time forms solution concentration distribution comprises the following steps：
（1）The relation between concentration and refractive index is obtained by the method for experiment
Configure the solution of various concentrations and measure solution refractive index, fit the functional relation between concentration and refractive index.Will experiment
The refractive index of middle calculating substitutes into fitting function relation and obtains respective concentration；
（2）The relation between refractive index and picture traverse is obtained by the method for experiment
At fixed observer position, the solution of the different refractivity of preparation is injected into wick-containing post lens, observation system is measured
The width of epigraph, and the relation between picture traverse and refractive index is fitted, the image that experiment is obtained substitutes into fit correlation
Respective indices of refraction can be tried to achieve in formula；
（3）The relation between refractive index and picture traverse is obtained by the law of refraction
Width is 2hDirectional light incide on wick-containing post lens, when in wick-containing post lens inject refractive index ben cLiquid when,
According to the law of refraction, the focal length of biliquid stem lens isf c, it is when injecting refractive index before lens in wick-containingn i Liquid when, biliquid
The focal length of stem lens isf i , the angle of emergent ray and primary optical axis is,f cImaging on the plane of vision fixed at position
Width be；f i ,WithIn the presence of following geometrical relationship
（3）；
According to（3）Formula can fit the relation between refractive index and picture traverse under law of refraction imaging contexts, will test
Obtained image, which is substituted into fit correlation formula, can try to achieve respective indices of refraction under law of refraction imaging contexts.
Inject the refractive index as refractive index thin layer observation position in wick-containing post lensn cSelection with etc. refractive index thin layer
Mobile Method measurement Liquid Diffusion Coefficient is similar, to select the refractive index for approaching top solution as thin layer observation station.
Gather the time of one group of diffusion imagetIn 70min.
The position of the height thin layers such as selection is needed above the focus point of all diffusion images, i.e., on refractive index coating position
Side and close coating position.
So that case is embodied, the present invention will be further described below：
Embodiment 1
Measure KCl solution concentrations（Refractive index）With picture traverse relation
Linear relationship between 1.1 fitting KCL concentration of aqueous solution and refractive index
In order to determine（1）KCL concentration of aqueous solution in formulaCWith refractive indexnBetween relation, that is, obtain（1）In formulamWithC 0.In room
Under temperature（25℃）The KCL aqueous solution of various concentrations is configured, the corresponding folding of the KCL aqueous solution of various concentrations is measured with Abbe refractometer
Penetrate rate（As shown in table 1）Afterwards, fit and meet linear relationship between KCL concentration of aqueous solution and refractive index：
,（Coefficient correlationR 2 =0.999）.（6）
The various concentrations KCL of table 1 refractive index
1.2 obtain refractive index by experimental methodAnd image widthBetween relation
The refractive index of wick-containing liquid after selection0.33mol/L and 3mol/L KCL diffusion systems are made to meet best
Aplanasia effect（Spherical aberration sum is minimum）.Refractive index is injected in preceding wick-containing isLiquid, regulation observation system
System, makes its accurate focal imaging on the detector.Before the liquid of other refractive indexes of preparation is implanted sequentially in wick-containing, record figure
The width of picture.As shown in table 2, fitting result is as shown in Figure 4 for the picture traverse of measurement and the relation of refractive index.
The refractive index of table 2 and image width relation（Experimental method）
Liquid refractivity in current wick-containingWhen, by that can be obtained to the data fitting in table 2, refractive index and image are wide
Met between degree：
,（Coefficient correlationR 2=0.991）,（7）
Liquid refractivity in current wick-containingWhen, by that can be obtained to the data fitting in table 2, refractive index and image are wide
Met between degree：
,（Coefficient correlationR 2=0.995）,（8）
By the picture traverse obtained in experimentSubstitute into（7）Formula,（8）It is can obtain in formula under experiment conditionDistribution.
1.3 calculate acquisition refractive index by the law of refractionAnd image widthBetween relation
The refractive index of wick-containing liquid after selection0.33mol/L and 3mol/L KCL diffusion systems are made to meet best
Aplanasia effect（Spherical aberration sum is minimum）.Refractive index is now injected in preceding wick-containing isLiquid, regulation observation
System, makes its accurate focal imaging on the detector.According to the focal length of law of refraction method calculating now, when
Other refractive indexes are filled in wick-containing isLiquid when can equally calculate and obtain the corresponding focal length of refractive index, emergent ray with
The angle of optical axis.Will、WithSubstitute into（5）Formula, can calculate and obtain in plane of vision epigraph width.Result of calculation is such as
Shown in table 3, fitting result is as shown in Figure 5.
The refractive index of table 3 and image width relation（Law of refraction imaging method）
Liquid refractivity in current wick-containingWhen, by that can be obtained to the data fitting in table 2, refractive index and image are wide
Met between degree：
,（Coefficient correlationR 2=0.999）,（9）
Liquid refractivity in current wick-containingWhen, by that can be obtained to the data fitting in table 2, refractive index and image are wide
Met between degree：
,（Coefficient correlationR 2=0.999）.（10）
By the picture traverse obtained in experimentSubstitute into（9）Formula,（10）It is can obtain in formula under law of refraction imaging contextsDistribution.
Embodiment 2
0.33mol/L KCL solution diffusion coefficients are measured Deng height of observation method
When measuring 0.33mol/L KCL solution diffusion coefficients at 25 DEG C with Fig. 1 shown devices, wick-containing is noted after biliquid stem lens
Enter refractive indexAplanasia solution make its aplanasia effect in KCL diffusion systems best.3mol/L KCL is molten
The lower end of wick-containing before liquid injection biliquid stem lens, 0.33 mol/L KCL solution is injected into upper end.Selection is molten close to top
Liquid refractive index focuses on observation thin layer as accurate imaging（）.
1.1 not diffusion image width measures in the same time
Choose diffusion image focus point（Selected refractive index thin layer）Selected as height of observation observation position is waited some position of top
The part diffusion image taken to width of the diffusion image not in the same time at a certain height as shown in fig. 6, measure, measurement
As a result it is as shown in table 4.
Image width changes over time relation at the different height of table 4
1.2 it is differentLiquid Diffusion Coefficient at different height of observation is calculated under fit approach
The image of sustained height not in the same time in table 4 is used respectively（7）Formula and（9）Formula is calculated, and is obtained at sustained height not
Index distribution in the same time, further according to（6）Formula calculates the corresponding concentration distribution of refractive index.To experimental result with utilizing（2）Formula
Calculating concentration carry out least square fitting, the best diffusion coefficient of fitting result is required.0.33mol/L at 25 DEG C
Result of calculation is as shown in table 5：
Liquid Diffusion Coefficient at the different height of table 5
Note：The unit of diffusion coefficient is * 10 in table-5 cm2/s
The diffusion coefficient for the 0.33mol/L KCL that two kinds of fit approach are calculated is omited it can be seen from the result of calculation in table 5
There is difference, but in suitably observation position, three kinds of methods can quickly and accurately measure Liquid Diffusion Coefficient, and measurement
As a result with literature value（1.841*10-5 cm2/s）Relative error within 2%.
Claims (5)
1. a kind of method for quickly measuring Liquid Diffusion Coefficient based on height of observation such as wick-containing post lens, it is characterised in that including with
Lower step：
（1）Two kinds of solution diffusions start preceding at interface（Z=0）The initial concentration on both sides is respectively C1 and C2, calculate one it is fixed
Diffusion system is at a certain level altitude, and change over time forms solution concentration distribution：
（1）；
According to above formula it can be seen that concentration C is the function of position and time, i.e.,, the height fixed to one, when C is changed into
Between single function, i.e.,, for different diffusion coefficient Ds, there is a series of concentration with Annual distribution, i.e.,,For one with diffusion coefficient and the two-dimentional concentration matrix of time change；
（2）The diffusion image obtained to experiment, measures the width of image in fixed position, reality is obtained according to width and concentration information
Concentration in testing with the time distribution；
（3）Obtained concentration distribution will be tested and carry out least square fitting from the concentration distribution obtained under different diffusion coefficients,
The best diffusion coefficient of fitting result is the diffusion coefficient of requirement of experiment.
2. the method according to claim 1 that Liquid Diffusion Coefficient is quickly measured based on height of observation such as wick-containing post lens,
It is characterized in that the method that the described change calculated over time forms solution concentration distribution comprises the following steps：
（1）The relation between concentration and refractive index is obtained by the method for experiment
Configure the solution of various concentrations and measure solution refractive index, fit the functional relation between concentration and refractive index, will test
The refractive index of middle calculating substitutes into fitting function relation and obtains respective concentration；
（2）The relation between refractive index and picture traverse is obtained by the method for experiment
At fixed observer position, the solution of the different refractivity of preparation is injected into wick-containing post lens, observation system is measured
The width of epigraph, and the relation between picture traverse and refractive index is fitted, the image that experiment is obtained substitutes into fit correlation
Respective indices of refraction can be tried to achieve in formula；
（3）The relation between refractive index and picture traverse is obtained by the law of refraction
Width is incided on wick-containing post lens for 2h directional light, when injecting the liquid that refractive index is nc in wick-containing post lens,
According to the law of refraction, the focal length of wick-containing post lens is fc, when injecting the liquid that refractive index is ni in wick-containing, biliquid stem lens
Focal length be fi, the angle of emergent ray and primary optical axis is, the width of imaging on the plane of vision fixed at the fc positions
For；Fi,WithIn the presence of following geometrical relationship
（3）；
According to（3）Formula can fit the relation between refractive index and picture traverse under law of refraction imaging contexts, will test
Obtained image, which is substituted into fit correlation formula, can try to achieve the refractive index of corresponding position under law of refraction imaging contexts.
3. the method according to claim 2 that Liquid Diffusion Coefficient is quickly measured based on height of observation such as wick-containing post lens,
It is characterized in that in injection wick-containing post lens as refractive index thin layer observation position refractive index nc selection with etc. refractive index it is thin
Layer Mobile Method measurement Liquid Diffusion Coefficient is similar, to select the refractive index for approaching top solution as thin layer observation station.
4. the method according to claim 1 that Liquid Diffusion Coefficient is quickly measured based on height of observation such as wick-containing post lens,
It is characterized in that the time t of one group of diffusion image of collection is in 70min.
5. the method according to claim 1 that Liquid Diffusion Coefficient is quickly measured based on height of observation such as wick-containing post lens,
It is characterized in that the position of the height thin layer such as selection is needed on the focus point of all diffusion images, i.e. refractive index coating position
Top and close coating position.
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