CN110068924A - The face type analysis method of non-spherical lens based on three-layer liquid body structure - Google Patents
The face type analysis method of non-spherical lens based on three-layer liquid body structure Download PDFInfo
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- CN110068924A CN110068924A CN201910317891.6A CN201910317891A CN110068924A CN 110068924 A CN110068924 A CN 110068924A CN 201910317891 A CN201910317891 A CN 201910317891A CN 110068924 A CN110068924 A CN 110068924A
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- face type
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B27/00—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
- G02B27/0012—Optical design, e.g. procedures, algorithms, optimisation routines
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B3/00—Simple or compound lenses
- G02B3/12—Fluid-filled or evacuated lenses
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Abstract
The invention proposes a kind of face type analysis methods of non-spherical lens based on three-layer liquid body structure, including step 1, establish out the aspheric lens structures model of three-layer liquid body structure；Step 2, to aspheric lens structures model, in applied voltage, the situation of change of liquid surface face type is emulated；Type numerical fitting in face obtained in model emulation is obtained corresponding asphericity coefficient at aspherical face type function by simulation software by step 3；Step 4 changes applied voltage, the corresponding relationship of asphericity coefficient and voltage under different voltages is fitted to function, and the corresponding relationship of asphericity coefficient and applied voltage is depicted as curve graph.The present invention is based on the foundation of three-layer liquid body lens arrangement, by the way that face type is fitted to non-spherical functions, the numerical fitting of each asphericity coefficient under multiple groups different voltages is counted into function, and is depicted as curve graph, the concrete analysis to aspherical face type is realized by curve graph.
Description
Technical field
The present invention relates to a kind of aspherical face type analysis methods suitable for liquid lens, specifically a kind of to be based on three
The face type analysis method of the non-spherical lens of layer liquid structure, belongs to optical technical field.
Background technique
With the development of optical technology, the application range of zoom-lens system is increasing, and complicated application makes
Traditional solid lens are increasingly difficult to adapt to, and liquid lens is not limited to spherical mirror due to its adjustable focus, are wanted to manufacture craft
It seeks low plurality of advantages and is used widely, liquid lens is to be changed using liquid as lens by changing the curvature of liquid
Focal length.Now more mature liquid lens is the varifocal optical lens using electrowetting on dielectric (EWOD) principle, by outer
Making alive changes the shape of drop, and then changes its focal length, which can make shooting mobile phone be not required to be equipped with mechanical part
In the case where realize auto-focusing and zoom, more, which can also be used in camera, the optical systems such as medical endoscope
In.
Existing liquid lens face type is mostly used sphere surface fitting, and this face type not only can reduce imaging effect because of spherical aberration,
And require density contrast between the liquid of lens two sides close, using aspherical face type by the problem more than avoiding.Non-
Spherical lens is introduced in optical system, several lens combinations in complex lens system can be effectively replaced, to realize letter
Change system structure and improves the purpose of system imaging quality.However in the actual process, since aspherical face type is complex,
It is difficult that as solid spherical lens, the structure of lens can be got information about by several a small amount of parameters, is in addition designing
When non-spherical lens, the foundation that applied voltage is not also adjusted also detailed can not recognize that applied voltage is saturating to liquid
The influence of the variations of parameters such as thickness, the light passing diameter of mirror.
Summary of the invention
The purpose of the present invention is to provide a kind of face type analysis methods of non-spherical lens based on three-layer liquid body structure.System
The corresponding relationship for counting asphericity coefficient and applied voltage, is fitted to the face type analysis method of curve.This analytic approach can be from
Intuitively reflect the situation of change of the asphericity coefficient when voltage change in curve graph.When the situation that liquid lens structure determines
Under, to realize that certain aspherical face type needs additional how much voltage to provide selection gist.
To achieve the above objectives, the present invention provides a kind of face type analysis of aspherical mirror based on three-layer liquid body lens arrangement
Method, comprising the following steps:
Step 1 establishes out the aspheric lens structures model of three-layer liquid body structure；
Step 2 presets applied voltage, the change to aspheric lens structures model liquid surface face type in applied voltage
Change situation to be emulated；
Type numerical fitting in face obtained in model emulation is obtained phase at aspherical face type function by Matlab by step 3
The asphericity coefficient answered.
Step 4 changes applied voltage, the corresponding relationship of asphericity coefficient and voltage under different voltages is fitted to letter
Number, and the corresponding relationship of asphericity coefficient and applied voltage is depicted as curve graph.
As further technical solution of the present invention, aspheric lens structures model in the step 1 uses cylinder
Type glass tube, and fill conducting liquid and insulating liquid respectively in it, the cylindrical type glass tube lateral wall and bottom surface are coated with
Conductive layer, the cylindrical type glass inside pipe wall are coated with hydrophobic dielectric layer, change conducting liquid by changing applied voltage
Interface face type between insulating liquid.
Further, the conducting liquid is immiscible with insulating liquid and density is different.
Further, the step 2 is specially first to use Laplace formula operation to aspheric lens structures model,
The partial differential equation of second order of aspherical face type and density contrast is obtained, then mathematical computations are carried out to gained partial differential equation of second order, is obtained
The numerical solution of aspherical face type out.
Further, the mathematical computations are using Runge-Kutta algorithm to the second order of aspherical face type and density contrast
Partial differential equation are calculated.
Further, the curve graph in the step 4 is using applied voltage as independent variable, by aspherical face type formula
Each coefficient as dependent variable, made of smooth Drawing of Curve.
Method of the invention is the face type analysis method of the optical model based on three-layer liquid body lens, the advantage is that:
(1) type fitting in face is carried out to liquid level using aspherical formula, using the different working fluid of density, selects fluent material more
It is easy.
(2) after by the corresponding relationship matched curve of the aspherical coefficient and voltage under statistics different voltages, pass through
The curve can intuitively judge face type variation when adjusting voltage, provide parameter for lens focusing.
(3) analytic process is simple, can accomplish rapid modeling and analysis.
(4) by analysis voltage and asphericity coefficient relationship, the aspherical face type that can visually see with voltage change
Change situation.
(5) when liquid lens structure determines, if necessary to realize a certain aspherical face type, then can be from the two
Graph of relation in determine and need additional great voltage.
(6) when use different liquids material, or when parameters differences such as the thickness of liquid lens, light passing diameters, by dividing
The relationship of voltage and asphericity coefficient is analysed, we can recognize the influence of these factor opposite types.
Detailed description of the invention
Fig. 1 is the flow chart of one embodiment of the invention.
Fig. 2 is curve graph of the asphericity coefficient a with applied voltage relationship.
Fig. 3 is curve graph of other asphericity coefficients (b, c, e, d, f) with applied voltage relationship.
Fig. 4 is the structural schematic diagram of three-layer liquid body lens arrangement in one embodiment of the invention.
Wherein: 1- hydrophobic dielectric layer, 2- transparency conducting layer, 3- insulating liquid, 4- conducting liquid.
Specific embodiment
Technical solution of the present invention is described in further detail with reference to the accompanying drawing:
The invention discloses a kind of non-spherical lens face type analysis method based on three-layer liquid body lens arrangement, three-layer liquid body lens
Structure is full of conducting liquid and insulating liquid, is divided into three layers by structure as shown in figure 4, including cylindrical body glass tube in pipe, wherein
Two sides up and down in fluid chamber are conducting liquids 4, and centre is insulating liquid 3.Glass tube is as liquid zoom lens shell, in glass
Glass pipe side wall and bottom surface plate conductive layer 2.Secondly, coating hydrophobic dielectric layer 1 in tube wall.Finally, respectively in two conduction liquids
The external power supply U1 and U2 that pressure-variable is connected between electrode on body 4 and tube wall, change conduction liquid by changing application voltage
Interface face type between body 4 and insulating liquid 3, to constitute a three-layer liquid body zoom-lens system.
Face type analysis curve is as shown in Figure 2 and Figure 3, the preparation method of curve are as follows: in simulation model, by adjusting electricity
Pressure, obtains the face type of corresponding lens liquid level, the aspherical face type of lens is fitted to equation, by each coefficients statistics of equation
Out as the dependent variable of voltage, to draw out asphericity coefficient with the curve graph of voltage change.Wherein ordinate generation in Fig. 2
The physical parameter of table is aspherical face type equation coefficients a, and a is height of the liquid level to cylindrical body glass tube bottom surface.Final curve
When figure requires to draw out voltage change on the graph, the situation of change of each asphericity coefficient.Voltage is set as abscissa, respectively
A asphericity coefficient is set as ordinate.
For structure shown in Fig. 4, the invention discloses a kind of non-spherical lens faces based on three-layer liquid body lens arrangement
Type analysis method, as shown in Figure 1, specifically includes the following steps:
Step 1 establishes out the aspheric lens structures model of three-layer liquid body structure, as shown in Figure 4.
Step 2, to the model in step 1, face type changes when analysis voltage difference in simulation software (such as Matlab),
Under pre-set voltage to the structure use Laplace formula (Laplace Equation), obtain aspherical face type with
The partial differential equation of second order of density contrast.
Step 3, by RK4 algorithm (Runge-Kutta) to the partial differential equation of second order of aspherical face type and density contrast into
Row calculates, and obtains the numerical solution of aspherical face type, these numerical value are carried out face type by Matlab and are fitted to non-spherical functions.
Step 4 changes voltage, counts the numerical value of each asphericity coefficient under multiple groups different voltages, by these different electricity
Each asphericity coefficient of pressure is fitted to function with corresponding voltage, and is depicted as curve graph, analyzes face by curve graph
The characteristics of type.
Wherein, asphericity coefficient refers specifically to each coefficient of non-spherical functions equation used when the fitting of face type, such as: a+
b(x2+y2)+c(x2+y2)2+d(x2+y2)3+e(x2+y2)4+f(x2+y2)5In a, b, c, e, d, f.
To sum up, method of the invention, based on the foundation of three-layer liquid body lens arrangement, by the way that face type is fitted to aspherical letter
Number counts the numerical fitting of each asphericity coefficient under multiple groups different voltages into function, and is depicted as curve graph, passes through curve
Figure realizes the concrete analysis to aspherical face type.This analytic approach can intuitively reflect from curve graph works as voltage change
When asphericity coefficient situation of change.It is that certain aspherical face type need to how much additional in the case where liquid lens structure determines
Voltage provides selection gist.
The above, the only specific embodiment in the present invention, but scope of protection of the present invention is not limited thereto, appoints
What is familiar with the people of the technology within the technical scope disclosed by the invention, it will be appreciated that expects transforms or replaces, and should all cover
Within scope of the invention, therefore, the scope of protection of the invention shall be subject to the scope of protection specified in the patent claim.
Claims (6)
1. the face type analysis method of the non-spherical lens based on three-layer liquid body structure, which comprises the following steps:
Step 1 establishes out the aspheric lens structures model of three-layer liquid body structure；
Step 2 presets applied voltage, the change to aspheric lens structures model liquid surface face type in applied voltage
Change situation to be emulated；
Type numerical fitting in face obtained in model emulation is obtained phase at aspherical face type function by Matlab by step 3
The asphericity coefficient answered.
Step 4 changes applied voltage, the corresponding relationship of asphericity coefficient and voltage under different voltages is fitted to function, and
The corresponding relationship of asphericity coefficient and applied voltage is depicted as curve graph.
2. the face type analysis method of the non-spherical lens according to claim 1 based on three-layer liquid body structure, feature exist
In: the aspheric lens structures model in the step 1 using cylindrical type glass tube, and fills conducting liquid respectively in it
And insulating liquid, the cylindrical type glass tube lateral wall and bottom surface are coated with conductive layer, the cylindrical type glass inside pipe wall is coated with
Hydrophobic dielectric layer changes the interface face type between conducting liquid and insulating liquid by changing applied voltage.
3. the face type analysis method of the non-spherical lens according to claim 2 based on three-layer liquid body structure, feature exist
In: immiscible and density is different from insulating liquid for the conducting liquid.
4. the face type analysis method of the non-spherical lens according to claim 3 based on three-layer liquid body structure, feature exist
In: the step 2 is specially first to use Laplace formula operation to aspheric lens structures model, obtains aspherical face type
With the partial differential equation of second order of density contrast, then to gained partial differential equation of second order carry out mathematical computations, obtain aspherical face type
Numerical solution.
5. the face type analysis method of the non-spherical lens according to claim 4 based on three-layer liquid body structure, feature exist
In: the mathematical computations are to be carried out using partial differential equation of second order of the Runge-Kutta algorithm to aspherical face type and density contrast
It calculates.
6. the face type analysis method of the non-spherical lens according to claim 5 based on three-layer liquid body structure, feature exist
In the curve graph in the step 4, be using applied voltage as independent variable, using each coefficient of aspherical face type formula as
Dependent variable, made of smooth Drawing of Curve.
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| CN201910317891.6A CN110068924A (en) | 2019-04-19 | 2019-04-19 | The face type analysis method of non-spherical lens based on three-layer liquid body structure |
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Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110966958A (en) * | 2019-11-22 | 2020-04-07 | 北京理工大学 | Aspheric error interferometry method and system combining liquid lens confocal positioning |
| CN110989160A (en) * | 2019-12-16 | 2020-04-10 | 南京邮电大学 | Brewster window structure based on liquid prism structure and construction method |
| WO2022121173A1 (en) * | 2020-12-11 | 2022-06-16 | 清华大学深圳国际研究生院 | High-zoom-ratio non-dynamic zoom imaging method using deformation device |
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| WO2010114254A2 (en) * | 2009-04-01 | 2010-10-07 | 경북대학교 산학협력단 | Liquid lens, and method for manufacturing same |
| CN105116541A (en) * | 2015-07-01 | 2015-12-02 | 南京邮电大学 | Aspheric surface analysis method for simulating human eye crystalline lens based on three-liquid lens structure |
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- 2019-04-19 CN CN201910317891.6A patent/CN110068924A/en active Pending
Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| WO2010114254A2 (en) * | 2009-04-01 | 2010-10-07 | 경북대학교 산학협력단 | Liquid lens, and method for manufacturing same |
| CN105116541A (en) * | 2015-07-01 | 2015-12-02 | 南京邮电大学 | Aspheric surface analysis method for simulating human eye crystalline lens based on three-liquid lens structure |
Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110966958A (en) * | 2019-11-22 | 2020-04-07 | 北京理工大学 | Aspheric error interferometry method and system combining liquid lens confocal positioning |
| CN110966958B (en) * | 2019-11-22 | 2020-11-13 | 北京理工大学 | Aspheric error interferometry method and system combining liquid lens confocal positioning |
| CN110989160A (en) * | 2019-12-16 | 2020-04-10 | 南京邮电大学 | Brewster window structure based on liquid prism structure and construction method |
| WO2022121173A1 (en) * | 2020-12-11 | 2022-06-16 | 清华大学深圳国际研究生院 | High-zoom-ratio non-dynamic zoom imaging method using deformation device |
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