CN103472507A - Method for accurately measuring liquid refractive index and liquid phase diffusion coefficient based on asymmetric liquid core column lens - Google Patents
Method for accurately measuring liquid refractive index and liquid phase diffusion coefficient based on asymmetric liquid core column lens Download PDFInfo
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Abstract
The invention provides a method for accurately measuring a liquid refractive index and a liquid phase diffusion coefficient based on an asymmetric liquid core column lens, and belongs to a method for measuring the liquid refractive index and the liquid phase diffusion coefficient by monochromatic light. According to the method, two glass cylindrical surface bodies and a cylindrical cavity filled with liquid media form an asymmetric cylindrical lens capable of eliminating spherical aberration of monochromatic light and zooming, the principle that monochromatic parallel light passes through the cylindrical lens filled with liquid with different refractive indexes and then is focused to different linear positions is applied, the focal distance of the cylindrical lens is measured, and the refractive indexes of the liquid are calculated. When two kinds of liquid with different refractive indexes are injected into the cylindrical cavity, the fact that the cylindrical lens has one-dimensional space resolving power on the refractive indexes of the injected liquid in the axial direction is utilized, a frame of a diffusion image is shot, and the diffusion coefficient is calculated through a formula. Measuring sensitivity of the refractive indexes of the liquid is higher than 2*10-5, and the diffusion coefficient of two kinds of liquid with a refractive index difference of 0.001 can be measured.
Description
Technical field
The invention belongs to the method for measuring liquid refractivity and Liquid Diffusion Coefficient with monochromatic light, particularly relate to the varifocal asymmetric optics post lens of monochromatic light aplanasia.
Background technology
Refractive index is the important optical parametric of transparent medium, can understand the character such as optical property, purity, concentration and dispersion of material by refractive index.Liquid Diffusion Coefficient is the research mass transport process, calculates the important foundation data of mass transfer rate and Chemical Engineering Design and exploitation, has been widely used in the emerging industries such as biology, chemical industry, medical science and environmental protection.Lens are familiar with by the mankind very early and are utilized, and along with scientific and technical development, a greater variety of lens have been used in field widely.The post lens are widely used in the fields such as laser beam expanding, glasses optics, wide screen cinema scene with being combined with of spherical lens.But the post lens of current manufacturers produce are the larger spherical aberration of the total existence of post lens of larger caliber especially, and can't change easily its principal focal distance for selected post lens under harmless prerequisite.Before the present invention proposes, we are equipped with the different physical phenomenon in kapillary post-concentration focal position of different liquids according to the directional light process, principle and method (general cloudling with the glass capillary accurate measuring trace quantity liquid refractivity have been proposed, Bai Ran, Xing Mannan etc., Chinese invention patent ZL200710066016.2[P]; Xing Mannan, Bai Ran, general cloudling, the new method of accurate measuring trace quantity liquid refractivity [J], " optical precision engineering ", 2008,16 (7), 1196-1202), by this principle and method, can measure the kapillary focal position that different liquids is housed, and calculate the refractive index of testing liquid in kapillary; Utilize the spatial resolving power of capillary imaging method to liquid refractivity, using kapillary as diffusion cell, can directly observe the diffusion phenomena (Li Qiang of dispersive medium in kapillary, Li Yu, Sun Licun etc., Chinese invention patent ZL201110283339.3[P]), calculate Liquid Diffusion Coefficient in conjunction with the FICK second law.But utilize kapillary to contain and carry device as testing liquid, its sensitivity of measuring refractive index is limited, therefore and limited the measurement range of application of its Liquid Diffusion Coefficient, for example only have, when two kinds of liquid refractivity differences large (glycerine and water), just can observe clearly the diffusion phenomena of medium.For improving the sensitivity of refractometry, the liquid core zoom post lens that we have designed a kind of symmetry again substitute kapillary (Li Qiang, Sun Licun, Meng Weidong etc., accurately measure liquid refractivity [J] with liquid core zoom post lens, " Chinese laser ", 2012,39(10), 1008005-1 ~ 1008005-7), but the impact that observation process is caused of spherical aberration is not considered in the design of these post lens, and the measurement sensitivity of refractive index still remains to be improved.
Summary of the invention
In order further to improve the sensitivity to measuring refractive indexes of liquid, widen Liquid Diffusion Coefficient measurement range and stability, the present invention is intended to original measurement mechanism (Li Qiang, Li Yu, Sun Licun etc., Chinese invention patent ZL201110283339.3[P]) basis on, a kind of method of accurately measuring liquid refractivity and Liquid Diffusion Coefficient based on asymmetric liquid stem stem lens is proposed.
The present invention realizes in the following manner:
(1) asymmetric liquid stem stem lens
These post lens (6) consist of four cylindricality optical surfaces, and the radius-of-curvature of post lens (6) optical surface is respectively
r i (
i=1,2,3,4), the thickness of front and rear wall is respectively
d 1,
d 3, the thickness of cylinder chamber is
d 2, when the cylinder chamber filling liquid, the 4th curved surface of post lens (6) is to the distance of its focal line
sfor:
In formula (1),
In formula,
n 0the glass refraction of post lens (6) optical surface,
nit is the refractive index that is filled with the fluid sample in post lens cylinder chamber.
The radius-of-curvature of described post lens (6) optical surface is respectively
r 1=60
mm,
r 2=25
mm,
r 3=-25
mm,
r 4=-33.8
mm, the thickness of front and rear wall is respectively
d 1=4
mm,
d 3=4
mm, the thickness of cylinder chamber is
d 2=12
mm, the front and rear wall material is K9 glass, clear aperature is
a=32.50
mm, make it be filled with the liquid refractivity of cylinder chamber
nbe 1.333 o'clock, the variations in refractive index 0.001 of imaging system, focal line change in location 1.165
mm.
While in described cylinder chamber, being filled with pure water, the spherical aberration of post lens (6) imaging system is less than 20 microns.
(2) measure the method for liquid refractivity based on asymmetric liquid stem stem lens
The method is: in post lens (6) cylinder chamber, be filled with single testing liquid, the testing liquid refractive index
nfor:
（2）
In formula (2),
。
Formula
u,
v,
l,
p,
qin the implication of each symbol identical with formula (1), and formula
vin
sfor the distance of focal line to the 4th curved surface of post lens (6), this distance is the unique measured value for the treatment of in formula (2), utilizes the method to be better than 2 * 10 to the measurement sensitivity of liquid refractivity
-5.
(3) measure the method for Liquid Diffusion Coefficient based on asymmetric liquid stem stem lens
Comprise:
The Liquid Diffusion Coefficient of two kinds of liquid meets formula (3):
In formula (3),
dliquid Diffusion Coefficient,
erfinv(
u) be error function
inverse function,
tfor diffusion time,
c 1with
c 2being respectively the initial concentration on diffusion beginning first two solution (Z=0) both sides at interface, is definite value,
zfor liquid lamella arrives the interfacial distance of solution, Δ
zfor the correction to two kinds of solution interphase present positions;
And:
(1) inject respectively two kinds of liquid to asymmetric post lens (6), after its diffusion process is stable,
tconstantly take a width diffusion image, measure diverse location on this image (
i=1,2 ..., 10) liquid lamella and the interfacial distance of solution
z i and the picture traverse of this liquid lamella
, obtain distance
z i and picture traverse
element set
, picture traverse
with the distance of focus to the 4th curved surface of post lens (6)
s i meet:
In formula (5),
s d for the distance of viewing plane to the 4th curved surface of post lens,
for the width of incident directional light, by formula (5), calculate
s i after its substitution formula (2) is calculated and is existed
tthe refractive index of moment different liquids thin layer
;
(2) calculate dispersion solutions concentration according to formula (4)
and anti-error function value
space distribution, the latter form with
z i the set of relation;
(3) right
z i with
carry out linear fit, obtain equation:
wherein,
;
(4) calculate coefficient of diffusion
d.
Described method is in step (1), to use the single channel syringe pump of liquid with precise control injection rate and smoothness to asymmetric post lens (6) filling liquid, and 10 minutes, two kinds of standing intervals of liquid injection length, two kinds of solution diffusions are carried out taking diffusion image after 15 ~ 20 minutes, with two kinds of liquid convections avoiding external force to cause, affect the Liquid Diffusion Coefficient measuring accuracy.
Described method is to inject respectively two kinds of liquid to asymmetric post lens (6) in step (1), and two kinds of liquid volumes are than being 1:1.
Described method is for measuring the approximately Liquid Diffusion Coefficient of two kinds of solution of 0.001 of refractive index difference.
(4) device based on asymmetric liquid stem stem lens accurate measurement method
Comprise imaging system and recording geometry, wherein,
It is light source that imaging system be take light emitting diode (1), after object lens (2) are assembled, shines the aperture diaphragm (3) as pointolite, and through collimation lens (4) collimation and slit (5) limit for width, normal incidence is contained year parts (6) to testing liquid;
Recording geometry forms electronic eyepiece (8,9) with lens (8) and COMS imageing sensor (9), and electronic eyepiece (8,9) forms electronic eyepiece microscope (10) with object lens (7), and electronic eyepiece microscope (10) is 0.001 with precision
mmelectron displacement platform (11) be moving sets, COMS imageing sensor (9) is connected with terminal (12);
And:
It is asymmetric liquid stem stem lens (6) that the testing liquid of described device is contained year parts (6).
The object lens of the imaging system of described device (2) are 10 * flat-field achromatic objective lens, and aperture diaphragm (3) diameter is 60 microns, and collimation lens (4) is 400 for focal length
mm, diameter 50.8
mmbiconvex lens, the width of slit (5) is adjustable.
The object lens of the recording geometry of described device (7) are 20 * flat-field achromatic objective lens, effective numerical aperture
nA=0.4, lens (8) lateral magnification is 1/3 to dwindle the gained image, and COMS imageing sensor (9) is amplified the gained image with the enlargement ratio of 30 times, and highest resolution is 2048 * 1536.
In the principle of the invention, asymmetric post lens are measured the sensitivity of liquid refractivity and the spherical aberration of asymmetric post lens imaging system has determined the accuracy that refractive index and Liquid Diffusion Coefficient are measured jointly:
1, the sensitivity of measuring refractive indexes of liquid
The sine value of half angular width of the light beam that the directional light of the full post lens of a branch of photograph forms after the converging action of post lens can be approximately:
The effective numerical aperture of object lens (7) is:
The depth of field of recording geometry is:
The measurement sensitivity of this asymmetric post lens refractive index is:
Provided the curve of the measurement sensitivity of liquid refractivity with the testing liquid variations in refractive index in Fig. 4, when the testing liquid refractive index is between 1.33 ~ 1.55, refractometry sensitivity is better than 2 * 10
-5.
2, the spherical aberration of asymmetric post lens imaging system
Spherical aberration is because the clear aperature of post lens is larger, apart from the light at optical axis diverse location place, through the different formed discs of confusion in post lens imaging system refraction post-concentration position, has reduced image quality.In order to measure liquid refractivity and water coefficient of diffusion, the present invention is by the design of each face curvature radius of coupled columns lens and thickness, spherical aberration when being filled with liquid in the post lens and being water, lower than 20 microns, can be ignored the impact of spherical aberration on image quality, has guaranteed the accuracy of measuring.Fig. 5 has provided ray tracing figure and the spherical aberration image with the post lens of the directional light process injected water of ZEMAX optical design software simulation.
The present invention has following good effect:
Adopt asymmetric post lens as the core parts of measuring liquid refractivity and use kapillary (Xing Mannan, Bai Ran, general cloudling, the new method of accurate measuring trace quantity liquid refractivity [J], " optical precision engineering ", 2008,16 (7), 1196-1202) or symmetrical posts lens (Li Qiang, Sun Licun, Meng Weidong etc., accurately measure liquid refractivity [J], " Chinese laser " with liquid core zoom post lens, 2012,39(10), 1008005-1 ~ 1008005-7) as core parts, to compare, the asymmetric post lens refractive index of the present invention's design is measured sensitivity and is better than 2 * 10
-5the measurement sensitivity of refractive index is higher, and use this asymmetric post lens imaging system more to stablize (Li Qiang than the use kapillary as diffusion cell as diffusion cell, Li Yu, Sun Licun etc., Chinese invention patent ZL201110283339.3[P] " a kind of method and device of measuring Liquid Diffusion Coefficient ").Simultaneously, the accurate measurement of refractive index is also laid a good foundation for the Liquid Diffusion Coefficient of Measurement accuracy infinite dilution solution.This performance is, when designed asymmetric post lens inject different liquids, focal length difference that it forms by the post lens forms liquid core zoom post lens, the liquid refractivity that is filled with pure water or is filled with in the post lens is near 1.333 the time, the spherical aberration of post lens imaging system is less than 20 microns, variations in refractive index 0.001, what cause post lens focal line position is changed to 1.165
mmthereby apparatus of the present invention can be observed refractive index difference and be reached 0.001 solution diffusion phenomena.
With " a kind of method and device of measuring Liquid Diffusion Coefficient " (Chinese invention patent ZL201110283339.3[P]) relatively: the present invention only need utilize a width diffusion image to be measured Liquid Diffusion Coefficient, reduced the measuring error of time, improved the accuracy of measurement of Liquid Diffusion Coefficient, shortened Measuring Time, the method for measurement Liquid Diffusion Coefficient proposed by the invention is measured 15 ~ 20 minutes consuming time.Authorize invention need to obtain two not in the same time (
t 1 , t 2 ), record two corresponding positions of diffusion process
(Z 1 , Z 2 )diffusion image, the coefficient of diffusion of calculating liquid.
According to the inventive method, be applied to accurately measure the equipment tool of liquid refractivity and Liquid Diffusion Coefficient
Have simple, easy to operate, be convenient to image viewing, its measuring accuracy and stability meet the advantage of general scientific experiment to the requirement of liquid refractivity and Liquid Diffusion Coefficient.
The accompanying drawing explanation
Fig. 1 is the schematic diagram of the asymmetric post lens of the present invention antetheca optical surface.
Fig. 2 is the schematic diagram of the asymmetric post lens of the present invention rear wall optical surface.
Fig. 3 is the asymmetric post lens of the present invention sectional views perpendicular to axial direction.
Fig. 4 is a kind of implement device when asymmetric post lens are applied to accurately measure liquid refractivity and Liquid Diffusion Coefficient.Light emitting diode 1, object lens 2, diaphragm 3, collimation lens 4, slit 5, asymmetric post lens, 6, imaging microcobjective 7, lens 8, COMS imageing sensor 9, one dimension displacement platform 11, computing machine 12; Imaging microcobjective 7, lens 8, COMS imageing sensor 9 form electronic eyepiece microscope 10; The 4th curved surface position of post lens
s 0, post lens focal line position
s i , the distance between the two
s=
s i -
s 0.
Fig. 5 is the diffusion image under t takes constantly.
Fig. 6 is the change curve of refractive index sensitivity with the testing liquid refractive index.
Fig. 7 is ray tracing figure and the spherical aberration image thereof with the post lens of the directional light process injected water of ZEMAX optical design software simulation.
Below in embodiment, the present invention is further illustrated by reference to the accompanying drawings.But the inventive method and device are not limited by the following examples.
Embodiment
(1) realize a kind of device of the inventive method
Asymmetric post lens 6 are bonded by two K9 glass column-shape showerings, and centre is a cylindrical cavity.The radius-of-curvature of four cylinders is respectively
r 1=60
mm,
r 2=25
mm,
r 3=-25
mm,
r 4=-33.8
mm, the thickness between each curved surface is respectively
d 1=4
mm,
d 2=12
mm,
d 3=4
mm.By a centre wavelength, be λ=580
nm, FWHM=32
nmlight emitting diode 1 is as light source, after assembling by object lens 2, make luminous energy focus on diaphragm 3, take diaphragm 3 as pointolite, become measurement light source after lens 4 collimated light beams, collimated light beam is through broad-adjustable slit 5 normal incidences to the asymmetric post lens 6 that are filled with testing liquid or diffusion liquid, and the seam of slit 5 is wide is the width of incident directional light
be slightly less than the internal diameter of post lens 6.After post lens 6 filling liquids, form one that by four coaxial cylinders, formed, be arranged on the asymmetric post lens optical system between slit 5 and microcobjective 7, microcobjective 7 is arranged at field of view of receiver, its enlargement ratio is 20 times, numerical aperture
nA=0.4, and form electronic eyepiece microscope 10 with lens 8, COMS imageing sensor 9, play the picture acquisition function of asymmetric post lens focal line or diffusion image.It is 0.001 that electronic eyepiece microscope 10 is fixed on precision
mmelectron displacement platform 11 on, by a USB interface, with terminal 12, be connected.
Above-mentioned object lens 2 are 10 * flat-field achromatic objective lens, and the diameter of diaphragm 3 is 60 microns, and lens 4 are 400 for focal length
mm, diameter 50.8
mmbiconvex lens.
Above-mentioned object lens 7 are 20 * flat-field achromatic objective lens, and 8 pairs of gained images of lens work the effect of dwindling, and the enlargement factor that lateral magnification is 1/3, COMS imageing sensor 9 is 30, and highest resolution is 2048 * 1536.
(2) use the position of the asymmetric post lens of matlab program language auxiliary calibration
While according to (2) formula, determining the testing liquid refractive index, need to measure the distance of the focal line of asymmetric post lens to the 4th face of asymmetric post lens
svalue,
s=S-S 0 , wherein,
sfor the focal line position of imaging system,
s 0be the position of the 4th curved surface of post lens, it is demarcated and draws by normal fluid, and scaling method is as follows:
Being filled with refractive index in the post lens is
n 1the normal fluid sample, calculate now post lens focal line position according to (1) formula
s 1position to the 4th curved surface of post lens
s 0distance
s 1.Regulate electron displacement platform 11, when when terminal is observed blur-free imaging, record now the reading of electron displacement platform and be post lens focal line position and be
s 1, have
S 0=
S 1-
s 1 。
Program:
R1=60.0, d1=4.0, R2=25.0, d2=12.0, R3=25.0, d3=4.0, R4=33.8, n0=1.5163, (radius-of-curvature that Ri is asymmetric each face of post lens, di is the distance between each face, the refractive index that n0 is the post lens material.)
N1=input (' normal fluid refractive index n 1='); (input normal fluid refractive index.）
S1=input (' electron displacement platform reading S1='); (during input normal fluid blur-free imaging, the reading of electron displacement platform.）
v1=n0*R1/(n0-1);
u2=v1-d1;
v2=n*R2*u2/(n0*R2+(n-n0)*u2);
u3=v2-d2;
v3=n0*R3*u3/(n*R3+(n-n0)*u3);
u4=v3-d3;
S1=R4*u4/ (n0*R4+ (n0-1) * u4); (substep is realized formula 1, calculate in asymmetric post lens while injecting the normal fluid that refractive index is n1, focal line to the 4th curved surface of post lens apart from s1.）
S0=S1-s1。(complete the demarcation to asymmetric post lens position.)
(3) by matlab program language subsidiary testing liquid refractive index
Inject testing liquid in asymmetric post lens, regulate electron displacement platform 11, when when terminal is observed blur-free imaging, record the now reading of electron displacement platform
s, by program, measure the testing liquid refractive index.
Program:
R1=60.0; D1=4.0; R2=25.0; D2=12.0; R3=25.0; D3=4.0; R4=33.8; N0=1.5163; S0=1.927, (radius-of-curvature that Ri is asymmetric each face of post lens, di is the distance between each face, the refractive index that n0 is the post lens material, the position that S0 is the 4th curved surface of asymmetric post lens that calibrates.）
S=input (' electron displacement platform reading S='); (during input testing liquid blur-free imaging, the reading of electron displacement platform.）
S=S-S0; (calculate in the post lens while being filled with testing liquid focal line to the distance of the 4th curved surface of post lens.）
u4=s*n0*R4/(R4-s*(n0-1));
v3=u4+d3;
u2=n0*R1/(n0-1)-d1;
p=R3*v3-d2*v3;
q=n0*d2*v3+n0*R3*d2;
m=n0*v3+n0*R3;
a=p*u2+R2*u2*v3;
b=n0*R2*p-n0*u2*p-m*R2*u2+u2*q;
c=n0*R2*q-n0*u2*q;
N=(b+ (b*b-4*a*c) ^0.5)/2/a(realizes step by step formula 2, obtains the testing liquid refractive index n.）
(4) by matlab program language subsidiary liquid Liquid Diffusion Coefficient
Inject solution 1 in asymmetric post lens, after standing 10 minutes, utilize the numerical control syringe pump slowly to inject solution 2, the moment that solution 1 contacts with solution 2 is designated as 0 constantly.The electron displacement platform is transferred between the position made between solution 1 blur-free imaging and solution 2 blur-free imagings
s d.After 15 ~ 20 minutes, take diffusion image as shown in Figure 3 in two solution contacts.Utilize this image measurement to go out one group
,
igenerally get between 8 to 10, realize the measurement of Liquid Diffusion Coefficient by following program.
Program:
R1=60.0; D1=4.0; R2=25.0; D2=12.0; R3=25.0; D3=4.0; R4=33.8; N0=1.5163; S0=1.927, (radius-of-curvature that Ri is asymmetric each face of post lens, di is the distance between each face, the refractive index that n0 is the post lens material, the position that S0 is the 4th curved surface of asymmetric post lens that calibrates.）
Sd=input (' electron displacement platform reading Sd='); (reading of the electron displacement platform behind appropriate location is chosen in input.）
W=input (width W of the incident ray '='); (input into the width of establishing directional light.）
Zi=[Z1,Z2,Z3,Z4,Z5,Z6,Z7,Z8,Z9,Z10];
Wi=[W1, W2, W3, W4, W5, W6, W7, W8, W9, W10]; (input by diffusion image, measured (
, Z
i) value.）
Si=(Sd-S0) .*W./(W-Wi); (obtain the focal line position at different liquids thin layer place according to formula (4).）
u4=s*n0*R4/(R4-si*(n0-1));
v3=u4+d3;
u2=n0*R1/(n0-1)-d1;
p=R3*v3-d2*v3;
q=n0*d2*v3+n0*R3*d2;
m=n0*v3+n0*R3;
a=p*u2+R2*u2*v3;
b=n0*R2*p-n0*u2*p-m*R2*u2+u2*q;
c=n0*R2*q-n0*u2*q;
Ni=(b+ (b*b-4*a*c) ^0.5)/2/a; (obtain the refractive index of different liquids thin layer according to formula (2).）
C=9.1939*ni-12.2503; (obtain the solution concentration of different liquids thin layer.）
Fw=erfinv ((0.5-c)/0.5); (obtain corresponding anti-error function.）
A=polyfit (fw, Zi, 1); A=a (1); (to Zi with
carry out linear fit, and give a by the value of the Monomial coefficient that obtains.）
T=input (' input take the time t=' of diffusion image); (input diffusion time.）
D=a^2/4/t。(calculate
obtain Liquid Diffusion Coefficient.）
Claims (10)
1. asymmetric liquid stem stem lens, is characterized in that these post lens (6) consist of four cylindricality optical surfaces, and the radius-of-curvature of post lens (6) optical surface is respectively
r i (
i=1,2,3,4), the thickness of front and rear wall is respectively
d 1,
d 3, the thickness of cylinder chamber is
d 2, when the cylinder chamber filling liquid, the 4th curved surface of post lens (6) is to the distance of its focal line
sfor:
（1）
In formula (1),
In formula,
n 0the glass refraction of post lens (6) optical surface,
nit is the refractive index that is filled with the fluid sample in post lens cylinder chamber.
2. asymmetric liquid stem stem lens according to claim 1, is characterized in that the radius-of-curvature of described post lens (6) optical surface is respectively
r 1=60
mm,
r 2=25
mm,
r 3=-25
mm,
r 4=-33.8
mm, the thickness of front and rear wall is respectively
d 1=4
mm,
d 3=4
mm, the thickness of cylinder chamber is
d 2=12
mm, the front and rear wall material is K9 glass, clear aperature is
a=32.50
mm, when the liquid refractivity that is filled with cylinder chamber
nbe 1.333 o'clock, the variations in refractive index 0.001 of imaging system, focal line change in location 1.165
mm.
3. asymmetric liquid stem stem lens according to claim 1 and 2, while it is characterized in that being filled with pure water in described cylinder chamber, the spherical aberration of post lens (6) imaging system is less than 20 microns.
4. the method for described a kind of asymmetric liquid stem stem lens measurement liquid refractivity based on claim 1 ~ 3, is characterized in that: in post lens (6) cylinder chamber, be filled with single testing liquid, the testing liquid refractive index
nfor:
（2）
In formula (2),
，
Formula
u,
v,
l,
p,
qin the implication of each symbol identical with formula (1), and formula
vin
sfor the distance of focal line to the 4th curved surface of post lens (6), this distance is the unique measured value for the treatment of in formula (2), utilizes the method to be better than 2 * 10 to the measurement sensitivity of liquid refractivity
-5.
5. based on claim 1 ~ 3, described a kind of asymmetric liquid stem stem lens are measured the method for Liquid Diffusion Coefficient, comprising:
The Liquid Diffusion Coefficient of two kinds of liquid meets formula (3):
In formula (3),
dliquid Diffusion Coefficient,
erfinv(
u) be error function
inverse function,
tfor diffusion time,
c 1with
c 2being respectively the initial concentration on diffusion beginning first two solution (Z=0) both sides at interface, is definite value,
zfor liquid lamella arrives the interfacial distance of solution, Δ
zfor the correction to two kinds of solution interphase present positions;
It is characterized in that:
(1) inject respectively two kinds of liquid to asymmetric post lens (6), after its diffusion process is stable,
tconstantly take a width diffusion image, measure diverse location on this image (
i=1,2 ..., 10) liquid lamella and the interfacial distance of solution
z i and the picture traverse of this liquid lamella
, obtain distance
z i and picture traverse
element set
, picture traverse
with the distance of focus to the 4th curved surface of post lens (6)
s i meet:
In formula (5),
s d for the distance of viewing plane to the 4th curved surface of post lens,
for the width of incident directional light, by formula (5), calculate
s i after its substitution formula (2) is calculated and is existed
tthe refractive index of moment different liquids thin layer
;
(2) calculate dispersion solutions concentration according to formula (4)
and anti-error function value
space distribution, the latter form with
z i set of relationship;
(3) right
z i with
carry out linear fit, obtain equation:
wherein,
;
(4) calculate coefficient of diffusion
d.
6. method according to claim 5, it is characterized in that the single channel syringe pump with liquid with precise control injection rate and smoothness injects two kinds of liquid to asymmetric post lens (6) respectively in step (1), and 10 minutes, two kinds of standing intervals of liquid injection length, two kinds of solution diffusions are carried out taking diffusion image after 15 ~ 20 minutes, with two kinds of liquid convections avoiding external force to cause, affect the Liquid Diffusion Coefficient measuring accuracy.
7. according to the described method of claim 5 or 6, it is characterized in that injecting respectively two kinds of liquid to asymmetric post lens (6) in step (1), two kinds of liquid volumes are than being 1:1.
8. according to the described method of claim 5 or 6, it is characterized in that the method is for measuring the approximately Liquid Diffusion Coefficient of two kinds of solution of 0.001 of refractive index difference.
9. method according to claim 7, is characterized in that the method is for measuring the approximately Liquid Diffusion Coefficient of two kinds of solution of 0.001 of refractive index difference.
10. an a kind of accurate measurement liquid refractivity based on the described asymmetric liquid stem stem lens of claim 1 ~ 3 and the device of Liquid Diffusion Coefficient, comprise imaging system and recording geometry, wherein,
It is light source that imaging system be take light emitting diode (1), after object lens (2) are assembled, shines the aperture diaphragm (3) as pointolite, and through collimation lens (4) collimation and slit (5) limit for width, normal incidence is contained year parts (6) to testing liquid;
Recording geometry forms electronic eyepiece (8,9) with lens (8) and COMS imageing sensor (9), and electronic eyepiece (8,9) forms electronic eyepiece microscope (10) with object lens (7), and electronic eyepiece microscope (10) is 0.001 with precision
mmelectron displacement platform (11) be moving sets, COMS imageing sensor (9) is connected with terminal (12);
It is characterized in that:
It is asymmetric liquid stem stem lens (6) that described testing liquid is contained year parts (6);
The object lens of described imaging system (2) are 10 * flat-field achromatic objective lens, and aperture diaphragm (3) diameter is 60 microns, and collimation lens (4) is 400 for focal length
mm, diameter 50.8
mmbiconvex lens, the width of slit (5) is adjustable, and the seam of slit 5 wide be the width of incident directional light
be slightly less than the internal diameter of post lens 6;
The object lens of described recording geometry (7) are 20 * flat-field achromatic objective lens, effective numerical aperture
nA=0.4, lens (8) lateral magnification is 1/3 to dwindle the gained image, and COMS imageing sensor (9) is amplified the gained image with the enlargement ratio of 30 times, and highest resolution is 2048 * 1536.
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| CN201310412166.XA CN103472507B (en) | 2013-09-11 | 2013-09-11 | Method for accurately measuring liquid refractive index and liquid phase diffusion coefficient based on asymmetric liquid core column lens |
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| CN104165863A (en) * | 2014-09-02 | 2014-11-26 | 云南大学 | Method for measuring liquid phase diffusion coefficient by utilizing instant refractive index spatial distribution of liquid core cylindrical lens |
| CN106094070A (en) * | 2016-06-19 | 2016-11-09 | 云南大学 | Measure liquid refractivity and the aplanasia varifocal biliquid stem stem lens of Liquid Diffusion Coefficient |
| CN107247035A (en) * | 2016-12-20 | 2017-10-13 | 云南大学 | A kind of method that Liquid Diffusion Coefficient is quickly measured based on height of observation such as wick-containing post lens |
| CN108680466A (en) * | 2018-05-18 | 2018-10-19 | 云南大学 | A kind of liquid water imbibition research method based on wick-containing cylindrical lens |
| CN109358023A (en) * | 2018-10-25 | 2019-02-19 | 云南大学 | A kind of platform and method of the Liquid Diffusion Coefficient that rapid survey changes with solution concentration |
| CN109884788A (en) * | 2019-03-25 | 2019-06-14 | 云南师范大学 | The double glued wick-containing cylindrical lens systems of aplanasia continuous vari-focus and application |
| CN113654952A (en) * | 2021-06-28 | 2021-11-16 | 中山大学 | Diffusion coefficient measuring device and method based on right-angle triangular liquid tank |
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| CN104165863A (en) * | 2014-09-02 | 2014-11-26 | 云南大学 | Method for measuring liquid phase diffusion coefficient by utilizing instant refractive index spatial distribution of liquid core cylindrical lens |
| CN104165863B (en) * | 2014-09-02 | 2017-06-06 | 云南大学 | With the method for the instantaneous refractive index spatial distribution measuring Liquid Diffusion Coefficient of wick-containing post lens |
| CN106094070A (en) * | 2016-06-19 | 2016-11-09 | 云南大学 | Measure liquid refractivity and the aplanasia varifocal biliquid stem stem lens of Liquid Diffusion Coefficient |
| CN107247035A (en) * | 2016-12-20 | 2017-10-13 | 云南大学 | A kind of method that Liquid Diffusion Coefficient is quickly measured based on height of observation such as wick-containing post lens |
| CN107247035B (en) * | 2016-12-20 | 2019-07-05 | 云南大学 | A method of based on the height of observation rapid survey Liquid Diffusion Coefficient such as wick-containing cylindrical lens |
| CN108680466A (en) * | 2018-05-18 | 2018-10-19 | 云南大学 | A kind of liquid water imbibition research method based on wick-containing cylindrical lens |
| CN109358023A (en) * | 2018-10-25 | 2019-02-19 | 云南大学 | A kind of platform and method of the Liquid Diffusion Coefficient that rapid survey changes with solution concentration |
| CN109358023B (en) * | 2018-10-25 | 2021-01-05 | 云南大学 | Platform and method for rapidly measuring liquid phase diffusion coefficient changing along with solution concentration |
| CN109884788A (en) * | 2019-03-25 | 2019-06-14 | 云南师范大学 | The double glued wick-containing cylindrical lens systems of aplanasia continuous vari-focus and application |
| CN109884788B (en) * | 2019-03-25 | 2021-04-09 | 云南师范大学 | Spherical aberration eliminating continuous zooming double-glue liquid core column lens system and application |
| CN113654952A (en) * | 2021-06-28 | 2021-11-16 | 中山大学 | Diffusion coefficient measuring device and method based on right-angle triangular liquid tank |
| CN113654952B (en) * | 2021-06-28 | 2022-07-19 | 中山大学 | Diffusion coefficient measuring device and method based on right-angle triangular liquid tank |
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