CN107677573A - A kind of multi-peak particle swarm particle diameter distribution detection method - Google Patents

A kind of multi-peak particle swarm particle diameter distribution detection method Download PDF

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Publication number
CN107677573A
CN107677573A CN201710888708.9A CN201710888708A CN107677573A CN 107677573 A CN107677573 A CN 107677573A CN 201710888708 A CN201710888708 A CN 201710888708A CN 107677573 A CN107677573 A CN 107677573A
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mrow
msub
light
peak
particle diameter
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李微
郭文平
余俊慧
杨克成
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Huazhong University of Science and Technology
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Huazhong University of Science and Technology
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N15/00Investigating characteristics of particles; Investigating permeability, pore-volume or surface-area of porous materials
    • G01N15/02Investigating particle size or size distribution
    • G01N15/0205Investigating particle size or size distribution by optical means
    • G01N15/0211Investigating a scatter or diffraction pattern

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Abstract

The invention discloses a kind of multi-peak particle swarm particle diameter distribution detection method, belong to field of optical measurements, it comprises the following steps:S1 produces the working fluid of the stability of flow comprising candidate particles group using miniflow pump, is sent into micro-fluidic chip, sample cell of the microchannel as candidate particles group;The light that S2 lasers are sent is transferred to the sample cell of micro-fluidic chip after first group of condenser lens, and candidate particles group's liquid sends scattering light;S3 scattering light is focused on photodetector target surface by second group of condenser lens, and photodetector produces photoelectric current;S4 photoelectric currents enter digital correlator, obtain the light intensity auto-correlation function at multiple scattering angles;S5 light intensity auto-correlation functions are performed data processing, calculate the average particle size distribution function for obtaining candidate particles group.The inventive method can realize in site measurement and the dynamic scattering light to multiple angles measures simultaneously, can obtain more accurately multi-peak particle swarm particle diameter distribution.

Description

A kind of multi-peak particle swarm particle diameter distribution detection method
Technical field
The invention belongs to field of optical measurements, more particularly, to a kind of multi-peak particle swarm based on micro-fluidic chip Particle diameter distribution detection method.
Background technology
In fields such as chemistry, food industry, biology and marine ecologies, for the particle diameter distribution of submicron particles group Research is extremely important.At present, conventional particle size measuring techniques mainly have sedimentation, micro-image method, electric-resistivity method, Sieve method and dynamic light scattering method etc., but limited by operation principle, except the photon phase in microscopic method and dynamic light scattering method Close outside spectroscopic methodology, other methods are generally unsuitable for the measurement to the particle below micron.
Dynamic light scattering technique is the effective ways for measuring sub-micron and nano particle, and it passes through the auto-correlation of scattered light intensity Function obtains grain graininess and its distribution.And the granularity and distribution of sub-micron and nano particle are to characterize the main ginseng of its performance Number, therefore the measurement to these parameters is significant.
The granular system that the dynamic light scattering technique of single angle is distributed to unimodal or narrow peak, which can provide, more accurately to be surveyed Measure result.However, for the granular system of wide distribution, bimodal distribution and multi-modal, single scattering angle dynamic light scattering The grain diameter information that data are included is imperfect, so as to cause the failure of grain diameter inverting.
Therefore, it is necessary to develop a kind of new measuring method or detection method suitable for multi-peak particle swarm particle diameter or Person's device.
The content of the invention
For the disadvantages described above or Improvement requirement of prior art, the invention provides a kind of multi-peak particle swarm particle diameter distribution Detection method, it is intended that by together with photoelectric detector and micro-fluidic chip ingehious design, using micro-fluidic micro- logical Road is uncomfortable as sample cell, the particle diameter of measurement multi-peak particle swarm colony, the dynamic light scattering technique for thus solving single angle With the technical problem of the granular system grain diameter measurement of wide distribution, bimodal distribution and multi-modal.
To achieve the above object, the invention provides a kind of multi-peak particle swarm particle diameter distribution detection method, it is included such as Lower step:
S1:The working fluid of the stability of flow comprising candidate particles group is produced using miniflow pump, is sent into micro-fluidic chip, it is micro- Sample cell of the circulation road as candidate particles group;
S2:The light that laser is sent is transferred to the sample cell of micro-fluidic chip, candidate particles after first group of condenser lens Group's liquid sends scattering light;
S3:Scattering light is focused on photodetector target surface by second group of condenser lens, and photodetector produces photoelectricity Stream;
S4:Photoelectric current enters digital correlator, obtains the light intensity auto-correlation function at multiple scattering angles;
S5:Light intensity auto-correlation function is performed data processing, calculates the average grain diameter particle diameter distribution for obtaining candidate particles group Function.
Further, in step S4, the light intensity auto-correlation function at least three scattering angles is obtained.
Further, rotate micro-fluidic chip or rotate photodetector, to obtain the light intensity at multiple scattering angles Auto-correlation function.
Further, in step S4, the normalized format of light intensity auto-correlation function is:
In formula:
Wherein, j=1,2,3 ... M, β are the spatial coherence factor, θjFor the angle of scattering of j passages, n is the refraction of decentralized medium Rate, λ0For the wavelength of incident light in a vacuum, KBFor Boltzmann constant, T is absolute temperature, and η is the viscosity of decentralized medium, and D is Peak diameter, τjFor the time delay of j passages, M is port number, DTIt is peak diameter under absolute temperature T.
Further, in step S5, the peak detection algorithm based on Phillips-Twomey, inverting has multiple particle diameters The particle swarm particle diameter distribution of peak value.The related introduction of Phillips-Twomey peak detection algorithm can be found in document《Multi-angle The non-negative Phillips-Twomey algorithms of dynamic light scattering particle size distribution recurrence》Document.
To achieve the above object, according to another aspect of the present invention, a kind of multi-peak particle swarm particle diameter point is additionally provided Cloth detection means, it includes micro-fluidic chip, miniflow pump, laser, the first focus lens group, the second focus lens group, disk Adjustment frame, photodetector, digital correlator and computer, wherein, micro-fluidic chip is arranged in disk adjustment frame, described The flat fluid channel as sample cell is provided with micro-fluidic chip, flat fluid channel connection miniflow pump, miniflow pump is used In the sample of grain diameter to be measured is pumped into flat fluid channel, photodetector is arranged in disk adjustment frame or set Put and be arranged in disk adjustment frame periphery, the first focus lens group on laser emitting light direction, for by the outgoing of laser Light is collimated and focused on, and is incident in the sample cell of micro-fluidic chip, is passed through from the laser facula of the first focus lens group outgoing Particle in sample cell scatters, and the second focus lens group is used to the scattering light being emitted from sample cell converging to photodetection Device, the photodetector are arranged on the outgoing light direction of the second focus lens group, for the institute in recruiting unit's time The number of photons of light is scattered at measuring angle, the digital correlator is used for according to the light intensity at discrete light subnumber acquisition institute measuring angle certainly Correlation function, the computer are used for the particle diameter that sample is obtained according to the inverting of light intensity auto-correlation function.
Further, the disk adjustment frame includes outer disc, inner disk and disk rotary rotating shaft, wherein, it is outer disc, interior Disk is coaxially disposed, and disk rotary rotating shaft is arranged at the common axle center of outer disc and inner disk, outer disc and disk rotary rotating shaft It can be rotated along common axle center, inner disk is fixed.
Further, photodetector has multiple, and micro-fluidic chip is arranged on fixed inner disk axle center and gone out, more Individual photodetector is arranged on the edge of outer disc, can receive the scattering light of multiple angles.
Further, photodetector has three, solid respectively in the outer disc relevant position corresponding to three angle of scatterings Determine photodetector, while measure the dynamic scattering light corresponding to one group of angle of scattering, photodetector output light electric current access three The digital correlator of passage, during work, outer disc is rotated, so that the dynamic scattering light of a variety of different angles can be obtained.
Further, photodetector has one, and a photodetector is arranged on disk adjustment frame upper periphery simultaneously And it is fixed, micro-fluidic chip is arranged in rotatable disk rotary rotating shaft, and during work, rotating circular disc rotary shaft is micro- to rotate Fluidic chip, so as to make photodetector obtain the scattering light of multiple angles.
Further, photodetector has one, and a photodetector is arranged at the maximum annulus of outer disc, Micro-fluidic chip is arranged at the axle center of inner disk and fixed, during work, outer disc is rotated, to adjust photodetector Direction, so as to make photodetector obtain the dynamic scattering light of multiple angles.
Further, the photodetector is photomultiplier or photon counter.
Further, the photon counter is single photon counter, small-signal can be identified and extracted, from Improve the accuracy of Monitoring Data.
The invention discloses the multi-peak particle swarm particle diameter distribution of a kind of combination micro-fluidic chip and dynamic light scattering technique Detection means and method, main, the beam of coherent light from laser is irradiated to equipped with the micro- of polymeric particles suspension In fluidic chip, the polymeric particles suspension in irradiation fluid channel.The scattering light of multiple angles is received by a photoelectric detector, and Into digital correlator, the light intensity auto-correlation function at institute's measuring angle is obtained, is obtained using computer by suitable inversion algorithm The minimum weight coefficient ratio of error is obtained, the size distribution and theoretical value that inverting obtains are closest.
The present invention combines advantage of the micro-fluidic chip to the accurate control of tested sample, proposes that one kind is easily achieved, consumes sample amount Low, achievable in site measurement and the method that the dynamic scattering light to multiple angles measures simultaneously, the angle of measurement can be increased More information, the accuracy and robustness of lifting Size analysis are provided for Size analysis.
In general, by the contemplated above technical scheme of the present invention compared with prior art, it is following by that can obtain Beneficial effect:
1st, in the inventive method, the microchannel on micro-fluidic chip is designed to sample cell, scattering object is dramatically reduced Product, its scattering volume be on the yardstick of micron level, it is such ingenious by the use of micro-fluidic chip as sample cell, significantly contract Short light path, eliminates multiple scattering from scattering mechanism, moreover, by by the light intensity that multiple different scattering angles measure from phase Close function to be attached in a data analysis, avoid the incorrect property selected the scattering angle of a unknown sample, can obtain Varigrained particle is taken in the scattering properties of different scattering angles, obtains more metrical informations, so obtain it is more accurate Particle size distribution.
2nd, the position of photodetector or micro-fluidic chip is rotated, you can easily realize multimetering.
3rd, the peak detection algorithm based on Phillips-Twomey, inverting have the particle swarm particle diameter of multiple particle diameter peak values Distribution, can improve multi-peak particle swarm particle diameter distribution measurement accuracy.
Brief description of the drawings
Fig. 1 is the structural representation of multi-peak particle swarm particle diameter distribution detection means in the embodiment of the present invention;
Fig. 2 is the structural representation of multi-peak particle swarm particle diameter distribution detection means in the embodiment of the present invention 1, wherein, light Electric explorer 8 has one, and photodetector 8 is arranged at the maximum annulus of outer disc, and micro-fluidic chip 7 is arranged on inner disk Axle center at and it is fixed;
Fig. 3 is the structural representation of multi-peak particle swarm particle diameter distribution detection means in the embodiment of the present invention 2, wherein, light Electric explorer 8 has one, and photodetector 8 is arranged on disk adjustment frame periphery and fixed, and micro-fluidic chip 7 is set Can rotate in rotatable disk rotary rotating shaft;
Fig. 4 is the structural representation of multi-peak particle swarm particle diameter distribution detection means in the embodiment of the present invention 3, wherein, light Electric explorer 8 has three, and micro-fluidic chip 7 is arranged on the fixed axle center of inner disk 5 and gone out, and multiple photodetectors 8 are set Put in the edge of outer disc, so that the scattering light of multiple angles can be received.
Fig. 5 is the light intensity auto-correlation function curve under 30 °, 45 °, 60 ° of scattering angles in the embodiment of the present invention.
The grain graininess point that Fig. 6 goes out for the light intensity auto-correlation function log inversion under the scattering angle after comprehensive multiple angles Cloth curve map and real particle size distribution curve map.
In all of the figs, identical reference is used for representing identical element or structure, wherein:
1st, laser 2, the first focus lens group 3, disk adjustment frame
4th, outer disc 5, inner disk 6, miniflow pump
7th, micro flow chip 8, photodetector 9, digital correlator
10th, computer 11, suspension 12, particle
13rd, the second focus lens group
Embodiment
In order to make the purpose , technical scheme and advantage of the present invention be clearer, it is right below in conjunction with drawings and Examples The present invention is further elaborated.It should be appreciated that the specific embodiments described herein are merely illustrative of the present invention, and It is not used in the restriction present invention.As long as in addition, technical characteristic involved in each embodiment of invention described below Conflict can is not formed each other to be mutually combined.
The invention provides a kind of multi-peak particle swarm particle diameter distribution detection method, it comprises the following steps:
S1:The working fluid of the stability of flow comprising candidate particles group is produced using miniflow pump, is sent into micro-fluidic chip, it is micro- Sample cell of the circulation road as candidate particles group;
S2:The light that laser is sent is transferred to the sample cell of micro-fluidic chip, candidate particles after first group of condenser lens Group's liquid sends scattering light;
S3:Scattering light is focused on photodetector target surface by second group of condenser lens, and photodetector produces photoelectricity Stream;
S4:Photoelectric current enters digital correlator, obtains the light intensity auto-correlation function at multiple scattering angles;
S5:Light intensity auto-correlation function is performed data processing, calculates the average grain diameter particle diameter distribution for obtaining candidate particles group Function.
In the embodiment of above method, in step S4, the light intensity auto-correlation function at least three scattering angles is obtained. Rotatable micro-fluidic chip rotates photodetector, to obtain the light intensity auto-correlation function at multiple scattering angles.Light intensity The normalized format of auto-correlation function is:
In formula:
Wherein, j=1,2,3 ... M, β are the spatial coherence factor, θjFor the angle of scattering of j passages, n is the refraction of decentralized medium Rate, λ0For the wavelength of incident light in a vacuum, KBFor Boltzmann constant, T is absolute temperature, and η is the viscosity of decentralized medium, and D is Peak diameter, τjFor the time delay of j passages, M is port number, DTIt is peak diameter under absolute temperature T.
In step S5, the peak detection algorithm based on Phillips-Twomey, inverting has the particle of multiple particle diameter peak values Group's particle diameter distribution.Phillips-Twomey algorithms are one of numerous algorithms that inverting obtains particle diameter distribution, can also be used such as Recurrent least square method, CONTIN algorithms and Tikhonov regularization algorithms obtain particle swarm particle diameter distribution.In algorithm design, Need accurately to set the weight coefficient of each angle of scattering, so as to improve multi-peak particle swarm particle size distribution inversion accuracy.Can be with Realize that weight coefficient adaptively adjusts by the methods of iterative algorithm, neural metwork training.
The device of above method is realized as shown in figure 1, Fig. 1 is that multi-peak particle swarm particle diameter distribution is examined in the embodiment of the present invention The structural representation of device is surveyed, as seen from the figure, it includes micro-fluidic chip 7, miniflow pump 6, laser 1, the first focus lens group 2nd, the second focus lens group 13, disk adjustment frame 3, photodetector 8, digital correlator 9 and computer 10, wherein,
Micro-fluidic chip 7 is arranged in disk adjustment frame 3, is provided with the micro-fluidic chip 7 flat as sample cell Straight shape fluid channel, flat fluid channel connection miniflow pump 6, miniflow pump 6 is used to the sample of grain diameter to be measured being pumped to Flat fluid channel, photodetector 8 are arranged in disk adjustment frame or are arranged on disk adjustment frame periphery, and first focuses on thoroughly Microscope group 2 is arranged on laser 1 and is emitted on light direction, for being collimated and being focused on the emergent light of laser 1, is focused on from first The laser facula that lens group 2 is emitted is incident in the sample cell of micro-fluidic chip 7, is scattered through the particle in sample cell, the Two focus lens groups 13 are used to the scattering light being emitted from sample cell converging to photodetector 8, and the photodetector 8 is set On the outgoing light direction of the second focus lens group 13, for scattering the photon of light at institute's measuring angle in recruiting unit's time Number, the digital correlator 9 are used for according to the light intensity auto-correlation function at discrete light subnumber acquisition institute measuring angle, the computer 10 are used for the particle diameter according to light intensity auto-correlation function inverting acquisition sample.
In Fig. 1, disk adjustment frame is not drawn, the disk adjustment frame 3 includes outer disc 4, inner disk 5 and disk Rotary shaft, wherein, outer disc 4, inner disk 5 are coaxially disposed, and disk rotary rotating shaft is arranged on the common of outer disc 4 and inner disk 5 At axle center, outer disc 4 and disk rotary rotating shaft can rotate along common axle center, and inner disk 5 is fixed.Put into practice in Practical Project In, in disk adjustment frame, inner disk superposition is arranged on outer disc, and inner disk diameter is less than outer disc diameter, and two disks are same Axle is set.Disk rotary rotating shaft is arranged at the axle center of two disks, and it can be outside prominent inner disk or including depression Below disk.When disc rotary aixs cylinder goes out outside lower inner disk, micro-fluidic chip 7 can be arranged on disk rotary in a manner of suspension In rotating shaft.When disk rotary rotating shaft depression is below inner disk, micro-fluidic chip can be directly anchored at inner disk axle center. Disk rotary rotating shaft can be arranged to rise to the form that can either shrink, by Design of Mechanical Structure with according to need Adjust its structure and realize different functions.
Fig. 2 is the structural representation of multi-peak particle swarm particle diameter distribution detection means in the embodiment of the present invention 1, wherein, light Electric explorer 8 has one, and a photodetector 8 is arranged at the maximum annulus of outer disc, and micro-fluidic chip 7 is arranged on It is at the axle center of inner disk and fixed, during work, outer disc is rotated, to adjust photodetector direction, so as to make light Electric explorer 8 obtains the dynamic scattering light of multiple angles.
Fig. 3 is the structural representation of multi-peak particle swarm particle diameter distribution detection means in the embodiment of the present invention 2, wherein, light Electric explorer 8 has one, and a photodetector 8 is arranged on disk adjustment frame upper periphery and fixed, micro-fluidic Chip 7 is arranged in rotatable disk rotary rotating shaft, during work, rotating circular disc rotary shaft to rotate micro-fluidic chip 7, so as to Photodetector 8 is set to obtain the scattering light of multiple angles.
Fig. 4 is the structural representation of multi-peak particle swarm particle diameter distribution detection means in the embodiment of the present invention 3, wherein, light Electric explorer 8 have it is multiple, micro-fluidic chip 7 is arranged on the fixed axle center of inner disk 5 and gone out, and multiple photodetectors 8 are set Put in the edge of outer disc, so that the scattering light of multiple angles can be received.Specifically, photodetector 8 has three, at three Photodetector is fixed in outer disc relevant position corresponding to angle of scattering respectively, while measures the dynamic corresponding to one group of angle of scattering Light is scattered, the output light electric current of photodetector 8 accesses the digital correlator of triple channel, during work, outer disc is rotated, that can obtain The dynamic scattering light of a variety of different angles.
For example, three angle of scatterings are one group, at 30 °, 45 °, 60 ° dispose three photodetectors, photodetector respectively Signal accesses three-channel digital correlator.By cylindrical 0 ° of disc spins, it can detect and obtain 30 °, 45 °, the dynamic scattering corresponding to 60 ° Light.Outer disc is rotated by 90 °, can measure 120 °, 135 °, the dynamic scattering light corresponding to 150 °.
In the present invention, the photodetector is photomultiplier or photon counter.In order to detect faint light Signal, the photon counter are single photon counter, small-signal can be identified and extracted, from improving monitoring number According to accuracy.
In the present invention, can use with good optical characteristic polymeric material PDMS make micro-fluidic chip, i.e., poly- two Methylsiloxane (Polydimethylsiloxane), required fluid channel is processed by photolithographic exposure technique.
The course of work of apparatus of the present invention is:
Beam of coherent light from laser 2 is irradiated in the micro-fluidic chip 7 equipped with the suspension 11 of particle 12, and irradiation is micro- Particle suspension liquid in runner.The scattering light of multiple angles is received by photodetector 8, and enters digital correlator 9, obtains institute Light intensity auto-correlation function at measuring angle, the minimum weight coefficient of error is obtained by suitable inversion algorithm using computer 10 Than the size distribution that inverting obtains is closest in theoretical value.
In apparatus of the present invention, by designing minim channel, reduce scattering volume, shorten light path, eliminated from scattering mechanism Multiple scattering.Its sample consumption is low, size sensor is small, multimetering can be achieved.
Fig. 5 is the light intensity auto-correlation function curve under 30 °, 45 °, 60 ° of scattering angles in the embodiment of the present invention.In miniflow The right side in road scattering light to multiple angles can detect simultaneously, and the corresponding photodetector of each angle, can will be more The light intensity auto-correlation function of individual different scattering angle measurements is attached in a data analysis.As can be seen from Figure 5,30 °, 45 °, 60 ° Light intensity auto-correlation function curve under scattering angle relatively kissed with preferable auto-correlation function curve ratio and, it is known that, apparatus of the present invention Design is feasible.
The aqueous solution of polystyrene standard spheric granules can be used to examine the accuracy of measuring method.Laser beam injects sample Product pond, scattering light is received using photodetector, light intensity auto-correlation function is calculated using digital correlator, then by correlation function It is sent into computer and carries out data inversion, inverting obtains particle size distribution curve map.
The grain graininess point that Fig. 6 goes out for the light intensity auto-correlation function log inversion under the scattering angle after comprehensive multiple angles Cloth curve map and real particle size distribution curve map.The figure is with actual particle size error as little as 2%, illustrating this hair Bright apparatus and method are more accurate, truly feasible.
In the method measured using apparatus of the present invention, pass through the light intensity auto-correlation for measuring multiple different scattering angles Function is attached in a data analysis, is avoided the incorrect property selected the scattering angle of a unknown sample, can be obtained Varigrained particle obtains more metrical informations, and then obtain more accurately in the scattering properties of different scattering angles Particle size distribution.
As it will be easily appreciated by one skilled in the art that the foregoing is merely illustrative of the preferred embodiments of the present invention, not to The limitation present invention, all any modification, equivalent and improvement made within the spirit and principles of the invention etc., all should be included Within protection scope of the present invention.

Claims (5)

1. a kind of multi-peak particle swarm particle diameter distribution detection method, it is characterised in that it comprises the following steps:
S1:The working fluid of the stability of flow comprising candidate particles group is produced using miniflow pump, is sent into micro-fluidic chip, miniflow leads to Sample cell of the road as candidate particles group;
S2:The light that laser is sent is transferred to the sample cell of micro-fluidic chip, candidate particles group's liquid after first group of condenser lens Body sends scattering light;
S3:Scattering light is focused on photodetector target surface by second group of condenser lens, and photodetector produces photoelectric current;
S4:Photoelectric current enters digital correlator, obtains the light intensity auto-correlation function at multiple scattering angles;
S5:Light intensity auto-correlation function is performed data processing, calculates the average grain diameter particle size distribution function for obtaining candidate particles group.
A kind of 2. multi-peak particle swarm particle diameter distribution detection method as claimed in claim 1, it is characterised in that in step S4, Obtain the light intensity auto-correlation function at least three scattering angles.
3. a kind of multi-peak particle swarm particle diameter distribution detection method as claimed in claim 2, it is characterised in that rotate micro-fluidic Chip rotates photodetector, to obtain the light intensity auto-correlation function at multiple scattering angles.
A kind of 4. multi-peak particle swarm particle diameter distribution detection method as claimed in claim 3, it is characterised in that in step S4, The normalized format of light intensity auto-correlation function is:
<mrow> <msup> <mi>g</mi> <mrow> <mo>(</mo> <mn>2</mn> <mo>)</mo> </mrow> </msup> <mrow> <mo>(</mo> <msub> <mi>&amp;tau;</mi> <mi>j</mi> </msub> <mo>)</mo> </mrow> <mo>=</mo> <mn>1</mn> <mo>+</mo> <mi>&amp;beta;</mi> <mo>|</mo> <mi>exp</mi> <mrow> <mo>(</mo> <mo>-</mo> <msub> <mi>D</mi> <mi>T</mi> </msub> <msub> <mi>&amp;tau;</mi> <mi>j</mi> </msub> <msup> <mrow> <mo>(</mo> <mfrac> <mrow> <mn>4</mn> <mi>&amp;pi;</mi> <mi>n</mi> <mrow> <mo>(</mo> <msub> <mi>sin&amp;theta;</mi> <mi>j</mi> </msub> <mo>/</mo> <mn>2</mn> <mo>)</mo> </mrow> </mrow> <msub> <mi>&amp;lambda;</mi> <mn>0</mn> </msub> </mfrac> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>)</mo> </mrow> <mo>|</mo> </mrow>
In formula:
<mrow> <msub> <mi>D</mi> <mi>T</mi> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mi>K</mi> <mi>B</mi> </msub> <mi>T</mi> </mrow> <mrow> <mn>3</mn> <mi>&amp;pi;</mi> <mi>&amp;eta;</mi> <mi>D</mi> </mrow> </mfrac> </mrow>
Wherein, j=1,2,3 ... M, β are the spatial coherence factor, θjFor the angle of scattering of j passages, n is the refractive index of decentralized medium, λ0 For the wavelength of incident light in a vacuum, KBFor Boltzmann constant, T is absolute temperature, and η is the viscosity of decentralized medium, and D is peak value Particle diameter, τjFor the time delay of j passages, M is port number, DTIt is peak diameter under absolute temperature T.
A kind of 5. multi-peak particle swarm particle diameter distribution detection method as claimed in claim 4, it is characterised in that in step S5, Peak detection algorithm based on Phillips-Twomey, inverting have the particle swarm particle diameter distribution of multiple particle diameter peak values.
CN201710888708.9A 2017-09-27 2017-09-27 A kind of multi-peak particle swarm particle diameter distribution detection method Pending CN107677573A (en)

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CN117907278A (en) * 2024-03-19 2024-04-19 北京市农林科学院智能装备技术研究中心 Water phosphate detection system, method, device, storage medium and program product

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