CN109782387A - The method of light guide plate mesh point distribution randomization - Google Patents
The method of light guide plate mesh point distribution randomization Download PDFInfo
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- CN109782387A CN109782387A CN201910141169.1A CN201910141169A CN109782387A CN 109782387 A CN109782387 A CN 109782387A CN 201910141169 A CN201910141169 A CN 201910141169A CN 109782387 A CN109782387 A CN 109782387A
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B6/00—Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings
- G02B6/0001—Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings specially adapted for lighting devices or systems
- G02B6/0011—Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings specially adapted for lighting devices or systems the light guides being planar or of plate-like form
- G02B6/0033—Means for improving the coupling-out of light from the light guide
- G02B6/0035—Means for improving the coupling-out of light from the light guide provided on the surface of the light guide or in the bulk of it
- G02B6/004—Scattering dots or dot-like elements, e.g. microbeads, scattering particles, nanoparticles
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B6/00—Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings
- G02B6/0001—Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings specially adapted for lighting devices or systems
- G02B6/0011—Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings specially adapted for lighting devices or systems the light guides being planar or of plate-like form
- G02B6/0033—Means for improving the coupling-out of light from the light guide
- G02B6/005—Means for improving the coupling-out of light from the light guide provided by one optical element, or plurality thereof, placed on the light output side of the light guide
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- General Physics & Mathematics (AREA)
- Optics & Photonics (AREA)
- Light Guides In General And Applications Therefor (AREA)
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Abstract
The method of light guide plate mesh point provided by the invention distribution randomization, by obtaining the formula of light guide plate mesh point distribution, using site light guide plate position coordinates as variable；The random number within the distance values of site is generated using position coordinates of the random function to each site, each site coordinate is displaced according to this, network point distribution after obtaining distribution randomization, this makes the Mathematical Expressions for having site radius distribution in all cases, this just brings great convenience to the design work of light guide plate.
Description
Technical field
The present invention relates to technical fields of lighting fixtures, more particularly, to the method for light guide plate mesh point distribution randomization.
Background technique
Edge-type light guide plate is that thickness is thin, light weight and cost is low relative to direct type light guide plate biggest advantage, at present side
Enter the mainstream that formula is still light guide plate production, especially small-medium size light guide plate almost all is side entering type.But side entering type is guide-lighting
Plate easily causes light guide plate surface brightness irregularities, therefore site is set since its light is to enter light guide plate from edge
The key point that meter is just designed at edge-type light guide plate.
There are many methods for the design of edge-type light guide plate site, but the design of actually most producers is all to rely on quotient
With optics analogue simulation software, size further according to the site of the continuous manual amendment's regular distribution of result of emulation and actual measurement or repair
Change the distributing position of same size site.The problem of doing so is that efficiency is lower, time-consuming.Many work (examples in the prior art
Such as at paper " side entering-type LED backlight source light guide plate mesh point design and emulation ", Guangdong University of Technology's journal 2014 (41), No.4,
95-99；Paper " the flat light guide plate mesh point design of sidelight and simulation analysis ", 2006 (21) of liquid crystal and display, No.3,206-
212 and paper " net-pont design of the unilateral edge-type light guide plate of LED " 2012 (23), No.3,60-63) all attempt to go out from theory
The mathematics computing model for issuing out net-pont design derives the formula of network point distribution.But these theoretical works are most only suitable
The light guide plate of unilateral entering light is closed, parameter is set line by line and derives final distribution results, cannot disposably obtain entire light guide plate
Network point distribution has obtained those unilateral entering light light guide plate equal diameter network point distribution formula in the paper of part, but its parameter physics is anticipated
Justice is unknown, very inconvenient in use.In addition, most of light guide plate such as computer, flat lamp etc. it is slightly larger be all polygon
Entering light cannot use the theory of unilateral entering light.In paper " the optical light guiding plate of side net-pont design for illumination " (illumination engineering
Report, 2012,23 (6), 103-105) in the case where discussing polygon entering light, rectangular light guide plate when method is four side entering light
It is divided into four zonules to be calculated, but this (is carried on the back with regard to " boundary effect " between inevitable domain of the existence referring to side-light type LED
The light guide plate mesh point of light source designs [J], Application Optics, 2008 (29), No.5,690-692) so that brightness is not uniform enough.
In addition, the network point distribution of the rule used in the prior art is possible to that Moire fringe can be generated, to influence leaded light
The uniformity of plate.When spacing is larger in site, uniformity can be improved with the method for advanced optimizing network point distribution.Optimize site
The theoretical work of distribution is relatively more, such as repulsion mitigates method, dynamic molecule process, super is uniformly distributed theory.Wherein more advanced method
It is dynamic molecule process, this method can be understood as site being regarded as gas molecule one by one, by the theory of molecular dynamics, net
Point plays a major role apart from remote then gravitation, is furthered just as gas molecule, plays main make apart from close then repulsion
With then being pushed away remote, finally reach distance when balance, while also reaching a random distribution.But the dynamic molecule process circulating cycle
Phase is long, time-consuming more, and overtesting is done in the site of the also reciprocity radius of someone, makes of dynamic molecule process and recycles many times, most terminates
As a result fruit causes the uniform network point distribution that things turn out contrary to one's wishes though all molecules (site) have all reached equilibrium state.By
It is high in the complexity of these work, therefore practicability is lower, mostly still rests on theoretic.
Summary of the invention
In view of the foregoing deficiencies of prior art, the purpose of the present invention is to provide a kind of distribution of light guide plate mesh point is random
The method of change generates a random number with random function mathematically, the site of light guide plate is allowed to shake one in subrange
Limited distance, the randomization of network point distribution can further improve the luminance uniformity of light guide plate.
To achieve the above object or other purposes, the present invention provide a kind of method of light guide plate mesh point distribution randomization, packet
Include following steps: obtain light guide plate mesh point distribution formula, using site light guide plate position coordinates as variable；Using random
Function generates the random number within the distance values of site to the position coordinates of each site, carries out position to each site coordinate according to this
It moves, the network point distribution after obtaining distribution randomization.
In one embodiment of the invention, displacement that each site coordinate is displaced are as follows: site spacing and this at
The half of the difference of dot size, the product with the random number.
In one embodiment of the invention, the range of the random number is -1 to+1.
The randomization of network point distribution can further improve the luminance uniformity of light guide plate.Very the invention proposes one
Simple effective method, referred to as " local method of randomization " can effectively solve the problem that method of randomization can not be practical in the prior art
The problem of.
As described above, the method for light guide plate mesh point distribution randomization provided by the invention, by obtaining light guide plate mesh point point
The formula of cloth, using site light guide plate position coordinates as variable；It is raw using position coordinates of the random function to each site
At the random number within the distance values of site, each site coordinate is displaced according to this, the site point after obtaining distribution randomization
Cloth, the randomization of network point distribution can further improve the luminance uniformity of light guide plate.
Detailed description of the invention
Fig. 1 is shown as the light-emitting surface design diagram of the light guide plate of unilateral entering light of the invention.
Fig. 2 is shown as the site radius distribution function curve of the light guide plate of unilateral entering light of the invention in one embodiment and shows
It is intended to.
Fig. 3 is shown as the site radius distribution function curve of the light guide plate of opposite side entering light of the invention in one embodiment and shows
It is intended to.
Fig. 4 is shown as the light-emitting surface design diagram of the light guide plate of four side entering lights of the invention.
Fig. 5 is shown as the site radius distribution function curve of the light guide plate of four side entering lights of the invention in one embodiment and shows
It is intended to.
Fig. 6 is shown as the site radius distribution knot of the light-emitting surface of the light guide plate of opposite side entering light of the invention in one embodiment
Structure schematic diagram.
Fig. 7 is shown as carrying out the site in Fig. 6 the structural schematic diagram after random offset.
Fig. 8 A is shown as the song of the site radius distribution function of unilateral entering light light guide plate of the invention in one embodiment
Line schematic diagram.
Fig. 8 B is shown as the network point distribution structural schematic diagram of Fig. 8 A embodiment.
Fig. 8 C is shown as the Illumination Distribution simulation result of the light guide plate of Fig. 8 A embodiment.
Fig. 9 A is shown as the song of the site radius distribution function of opposite side entering light light guide plate of the invention in one embodiment
Line schematic diagram.
Fig. 9 B is shown as the network point distribution structural schematic diagram of Fig. 9 A embodiment.
Fig. 9 C is shown as the Illumination Distribution simulation result of the light guide plate of Fig. 9 A embodiment.
Figure 10 A is shown as the song of the site radius distribution function of four side entering light light guide plates of the invention in one embodiment
Line schematic diagram.
Figure 10 B is shown as the network point distribution structural schematic diagram of Figure 10 A embodiment.
Figure 10 C is shown as the Illumination Distribution simulation result of the light guide plate of Figure 10 A embodiment.
Specific embodiment
In the present invention for rectangular light guide plate to unilateral side, bilateral, periphery entering light and randomization site method it is specific
Example illustrates embodiments of the present invention, and those skilled in the art can derive it by method disclosed by this specification and explanation
The light guide plate of his shape and the network point distribution in the case of entering light.The present invention can also add by way of a different and different embodiment
To implement or apply, the various details in this specification can also be based on different viewpoints and application, without departing from of the invention
Spirit is lower to carry out various modifications or alterations.It should be noted that in the absence of conflict, the spy in following embodiment and embodiment
Sign can be combined with each other.
It should be noted that illustrating the basic structure that only the invention is illustrated in a schematic way provided in following embodiment
Think, only shown in schema then with related component in the present invention rather than component count, shape and size when according to actual implementation
Draw, when actual implementation kenel, quantity and the ratio of each component can arbitrarily change for one kind, and its assembly layout kenel
It is likely more complexity.
The core concept of design method of the present invention is first to obtain guide-lighting Board position and the dot parameters (change being arranged in design
Amount, such as site size, site spacing) between relation formula, then set light guide plate any two position and corresponding net
The value of point parameter, by the constant light guide plate that the physical significance in the relation formula between dot parameters and guide-lighting Board position is unknown
Specific physical quantity indicates, obtains Practical Formula.In preferably embodiment according to this result further progress site with
Machineization distribution finally has the leaded light of above-mentioned network point distribution according to the emulation of this result progress light guide plate and corresponding manufacture
Plate.The variable setting by embodiment in conjunction with different dot parameters and different entering light situation are carried out specifically below
Bright, the present invention relates to the design of the light guide plate of side entering light, the side entering light can be unilateral entering light, be also possible to it is polygon into
Light；By taking the light guide plate of cuboid shape as an example, if its upper surface or lower surface are light-emitting surface, the side at 4 edges of light-emitting surface
Any one in face and it is multiple can be entering light side.
Embodiment 1
Rectangular light guide plate is directed in the present embodiment, circular shaped lattice point, site spacing is identical, the unilateral entering light of site size variation
The case where carry out derivation explanation:
Step 1 is carried out first: obtaining the relation formula between dot size variable parameter and dot location.For circle
Site, size variable parameter is radius (can certainly be characterized with diameter), and in the net-pont design of other shapes, we are only needed
The relationship of the dot size variable and dot area in design is accordingly given expression to, such as in rectangular site, Ke Yiyong
Side length characterizes, it should be noted that the dot size variable is preferably only one size variable of setting, such as in trapezoidal site
In can fix two in bottom, bottom and high three parameters, in this way can be significantly using a remaining parameter as variable
Reduce calculation amount.For to the unilateral entering light of the present embodiment the case where, we are directly derived from the basic principle of light guide plate
Uniformly go out the relationship that light requires radius (r) and position (x) at off line out.
The position (x) is in the plane coordinate system (such as plane right-angle coordinate) of the light-emitting surface foundation of light guide plate
Coordinate, such as shown in Fig. 1, the side A of light guide plate 1 are entering light side, are x coordinate axis from A to the vertical direction of its opposite side B, with A and
B is origin at the center of the reference axis, if the side length of C is 2*Lx, the coordinate of the side A is-Lx, and the coordinate of the side B is Lx, and light out
On face 11 each site 2 can the direction row from A to B be set as multirow, in equidistant situation, the position of site 2 is different (i.e.
X coordinate is different) and radius is different.
It is analyzed from its principle, in edge-type light guide plate, into the light of light guide plate, multiple total reflection is not in light guide plate
Disconnected onwards transmission, and the site on light guide plate then changes the characteristic of light total reflection, so that the light being radiated on site dissipates
It penetrates, is projected by the front of light guide plate.Luminous flux in light guide plate should be the function of x certainly, it can use an one-dimensional functions
Φ (x) description.Due to constantly scattering, it be it is gradually smaller, and Φ (x) after an infinitesimal distance dx its reduce
Part can be described as-d Φ (x) with differential.If the luminous flux that unit length scatters to outside light guide plate isWhen ignoring absorption
Light should be certainly just the light scattered to outside light guide plate in the loss part d Φ (x) after dx lengthThis is just obtained
Equation (1):
It is uniformly to go out light that we, which require light guide plate, thereforeFor constant.In this way after distance x, leaded light is scattered to
Total light flux outside plate should beIf starting luminous flux is Φ0, therefore luminous flux phi (x) is line with the increase of coordinate x
Property reduce, it may be assumed that
On the other hand, scattering light is scattered by site, and the size of scattering should be with the luminous flux phi (x) at this at just
Than, it may be assumed that
And proportionality coefficient is exactly the ratio of the output intensity and total light flux at this, referred to as light extraction efficiency σ (x):
(1) and (2) is substituted into (3) to obtain:
The fundamental formular of light extraction efficiency function when (4) formula above is exactly unilateral entering light.Notice that our derivation is not drawn
Enter any it is assumed that being only obtained from light guide plate basic principle and the uniform requirement of light out, therefore (4) formula is one-dimensional
The fundamental formular of light guide plate.
Radius distribution function is asked just to be very easy to by (4) formula.If being fixed due to being spaced between site, it is believed that site
Being distributed in spacing is on the vertex of small square net of Δ x, site be it is round, then filling rate η (x) should be the area of a circle divided by
Area:
The distribution of those sites is designed to realize and uniformly go out light, due to determining the brightness of optical light guiding plate of side somewhere
It is the scattering degree to light of site at this, the filling rate by site in region is influenced, as long as thus controlling filling rate
Distribution, then the shape of the site does not limit, such as can be round, square or equilateral triangle even irregular figure
Deng, it is only necessary to filling rate is correctly symbolized according to area；In each embodiment below, and illustratively with site
It is designed for circle, Length Quantity is then its radius.Therefore in the embodiment of other dot shapes, it is only necessary to by formula (5)
In area formula of circle correspondingly-shaped area formula substitution.
And it be proportional relation that the filling rate and light extraction efficiency in the same place, which are clearly, if proportionality coefficient k, it may be assumed that
η (x)=k σ (x) (6)
Site function of radius can be obtained by (4) (5) (6) three formula are as follows:
For ease of calculation, the coordinate origin that rectangular light guide plate is set in the present embodiment is hit exactly in long side as the rectangle of 2Lx
The heart, the i.e. variation range of x are that-Lx arrives Lx, then light extraction efficiency function (4) and site radius distribution function (7) just become
In this way, we have just obtained the relationship of site radius (r) He position (x).Certainly with different coordinates or coordinate
The selection of origin, obtained relational expression also can be variant.It can be seen that in formula there is also the unknown parameter k of physical significance with
And it is unrelated with light guide plate physical parameterAnd Φ0, can not directly be used in the design of light guide plate.
Then step 2 is carried out: the value of setting any two dot location and dot size variable, by dot size variable
The unknown constant of the physical significance in relation formula between parameter and dot location is indicated with the specific physical quantity of light guide plate, is obtained
To Practical Formula.It is considered for what convenience of calculation and conventional design were accustomed to, any two dot location and dot size variable
Value be more preferably selected as light guide plate boundary condition (position when dot size is minimum and maximum, opposite side entering light and periphery into
In the embodiment of light, boundary condition is chosen for size and the position of center site and edge site).Specific in the present embodiment,
We set the site radius of two positions x=-Lx and x=Lx as r1And r2, with k andFor known variables, by following two
Side condition simultaneous equations ask k andSymbolic solution:
:
The expression formula (13) of available radius distribution function after (9) formula of substitution is simplified.
Formula (13) is exactly last Practical Formula.Pay attention to independent variable Φ0Automatically it disappears, this is to close very much in the physical sense
Reason as a result, reflecting starting luminous flux phi0A relative value, should not the radius of influence distribution.Δ x is also disappeared, this
Reflect the radius distribution continuity of a function, i.e., it is unrelated with site separation delta x.Due to simultaneous equations (11) solution (12)
Independent variable give instead of so thatIt is also disappeared with the unsharp k of physical significance, independent variable becomes physical significance clearly
r1,r2, Lx, this will be advantageous to light guide plate design.In addition, by (12) it can further be seen that make luminous fluxIt is necessary
r2>r1, that is, site remoter from light source is bigger.The consistency of these mathematics and physics can also to a certain extent in turn
Demonstrate the reasonability of our gained functions.
In this way, when designing light guide plate, as long as given r1,r2, the specific value of Lx can obtain at once by (13) formula
Network point distribution function.For example, double of side length is 50mm, edge site radius is the light guide plate of 0.5mm and 1mm, site radius
Distribution should be function r (x, 0.5,1,50), obtain radius distribution function curve schematic diagram in site shown in Fig. 2.
It is arranged in light source at light guide plate center, such as the shapes such as " rectangular-ambulatory-plane ", annular, center hole regular polygon
Light guide plate can be calculated subregion, or use as the light guide plate of light is identical with unilateral in the same way in principle
Polar coordinates are calculated, only related from light source distance to position due to unrelated with angle, therefore also only have a location variable,
Details are not described herein for calculating process.
Embodiment 2
The present embodiment the difference from embodiment 1 is that, the dot size of light guide plate is constant, site spacing variation.To teach
Lead those skilled in the art understand that how the present processes are deformed in the case where light guide plate types of variables is different.
Likewise, step 1: obtaining the relation formula between site spacing variable parameter and dot location.Based on same
Optical principle and basic formula, equation (1)~(4), (6) are constant, and filling rate formula (5) is since variable change needs to deform, phase
The interval variation of adjacent column site, if discontinuous variable is Δ L (x) between each column site, between every row spacing be constant b (if
It is square then be similarly Δ L (x)), site be it is round, then filling rate η (x) should be the area of a circle divided by rectangular area:
Using with same setting coordinate in embodiment 1, bring the relationship that site spacing and position is calculated into:
Then step 2 is carried out: the value of setting any two dot location and dot size variable, by dot size variable
The unknown constant of the physical significance in relation formula between parameter and dot location is indicated with the specific physical quantity of light guide plate.I
Set the site spacing of two positions x=-Lx and x=Lx as L1And L2, solve k andIt brings (9 ') into and obtains Practical Formula:
It will also be seen that wherein no longer containing physical significance is indefinite or incoherent physical quantity, as long as given L1、L2With
The specific value of Lx can be obtained network point distribution function by (13 ') formula at once.
Embodiment 3
Embodiment 3 the difference from embodiment 1 is that, the two sides or periphery of light guide plate are arranged in light source.To instruct ability
Field technique personnel understand to be deformed in the case where more side entering lights.
It is identical, it carries out step 1: obtaining the relation formula between dot size variable parameter and dot location.Embodiment
It describes in such a way that optically basic theory is derived in 1, can equally be applicable in, the superposability based on incoherent light is former
The luminous flux scattered out by site, can be divided into the sum of two parts, at this moment, (1) and (2) formula should be respectively to two by reason
It is divided into vertical, two functions available in this way.Mathematical calculation process repeats no more, and those skilled in the art can be according to implementation 1
Introduction with the method in embodiment 2 carries out corresponding deformation, last available polynomial function, and is introduced below more excellent
The result that method obtains is too many compared to parameter, uses complex.We introduce another method in the present embodiment:
This relation formula is obtained in such a way that tentative function is set.
Specifically, according to our curve characteristic for substantially predicting network point distribution of optically basic theory, in this way we
The mathematical function for meeting these features can be chosen as tentative function, then go whether verifying tentative function meets optical uniformity
Requirement to determine whether selection is correct.Specific in the present embodiment, first is that leaving the more remote then site Ying Yue great of light source, this is side
The universal law of face entering light light guide plate；Second is that bilateral symmetry, it is obvious that this, which is in opposite side entering light,；Third is that flatness, i.e., not
There can be mutation, this requires the domain of function includes entire light guide plate, then tentative function should be that edge broad in the middle is small
Symmetrical bell curve.The scattering direction of every light is independent random, we associate herein, is managed in mathematical statistics
In, if an amount is influenced by many small independent random factors as a result, can so think that this measurer has height
The property of this distribution function, and Gaussian function is exactly symmetrical bell curve described above, this with regard to expecting having very naturally
The network point distribution of the light guide plate of the random scatter of multiple sites has the property of Gaussian function.Then we to tentative function into
Row analogue simulation verifies whether this tentative function reflects relationship between dot size variable parameter and dot location.In vacation
Determine network point distribution and meet Gaussian Profile, see whether this network point distribution can provide uniform Illumination Distribution in turn, by mould
Quasi- emulation the result is that can embody.
The canonical form of Gaussian function are as follows:
After determining tentative function, step 2 is carried out, sets the value of any two dot location and dot size variable,
The unknown constant light guide plate of physical significance in relation formula between dot size variable parameter and dot location is specific
Physical quantity indicates.
Site radius distribution function, i.e. light guide plate still are asked using the side condition of rectangular light guide plate in order to facilitate us are calculated
Size of the size and light guide plate of center site by the boundary node of close to sources.This function is used in light guide plate mesh point radius
When distribution, the meaning of coefficient should be just the radius of central point, i.e. one of boundary condition, enable it for r1.This formula is changed slightly
Type:
W is an amount for indicating the dispersion of distribution, coefficient r in formula (14)1Indicate the site radius of light guide plate central point.
In order to make function still bilateral symmetry, it is necessary to which x is become │ x │.And the index 2 of original Gaussian function has been changed to variable ax, mesh
Be can near 2 an a small range variation, artificially slightly to change under the premise of keeping Gaussian function property
The distribution of varying function, to reach high evenness.
The radius for enabling light-guide edge is r2, then solve following equations:
The symbolic solution of w can be acquired are as follows:
(16) are substituted into (14), and the form of function is changed to the function of many variables, have just obtained the direction x net when opposite side entering light
Point radius rxDistribution function sign format:
It gives one example, the light guide plate of one side of something a length of 50, center and peripheral site radius is respectively 0.3 and 0.02, and half
Diameter distribution just should compactly be expressed as lower array function
It is distributed as shown in Figure 3.I.e. for a given length LxLight guide plate, enable ax=2, as long as adjusting r1And r2's
Size is easier to meet equally distributed requirement, can also slightly adjust a with (17) formulaxIt is more preferable to obtain to carry out trim curve
Luminance Distribution.
Similarly method also can be used identical in site size, and in the embodiment of site spacing variation, mapping mode can
Referring to embodiment 2.
Embodiment 4
The site of the light guide plate of periphery entering light is introduced in the present embodiment, still with rectangular light guide plate, the constant net of site spacing
For point size variation.
The Practical Formula of network point distribution can be still obtained by both of the aforesaid step.It is obtained in the present embodiment in embodiment 3
It has arrived on the basis of opposite side entering light light guide plate mesh point formula, if half length of rectangular light guide plate both direction is Lx and Ly, has seen figure
4, (17) formula directly can be generalized to the direction y, the direction y site radius distribution function can be write out at once are as follows:
Here x and y is independent, is mathematically the variable that can be separated, therefore total function can be written as polynary letter
Number:
It gives one example, rectangular light guide plate length is 1000x600mm, and center and peripheral site radius is 0.5 and 0.1mm,
It substitutes into the function of many variables (20), obtain site radius is distributed as function rxy(x, y, 0.5,0.1,2,2,500,300), calculated result
Fig. 5 is shown in mapping.
In the embodiment of the light guide plate periphery entering light of other shapes, such as the centrosymmetric shape such as circle, regular polygon
In shape, it can also be calculated using by Gaussian function with polar coordinate representation.
The problem of obtaining the distribution formula of light guide plate by the method for embodiment 1-4, seek network point distribution has reformed into letter
Count the simple problem of functional value when seeking each independent variable.For example, one can first be listed with x, tri- variables of y, r are the sky of three column
Table.The basic unit i.e. shape of small grid that we can choose independent variable variation is square, rectangle, triangle or polygon
Shape etc., according to all x and y values in the requirement filling table of these shapes, since the regularity of these shapes is very strong, with simple
Program can solve the problems, such as this, and the present invention repeats no more the specific method for realizing mathematical computations with program.It is subsequent
In example is simplest square net, i.e. x and y are equally spaced situations.
By taking opposite side entering light as an example, site calculated result is as shown in Figure 6.Here in order to clearly illustrate rule, calculating
Number of outlet is 100 times smaller than actual result.
By formula (5) it is known that site spacing, site radius, between the filling rate three of site only it is to be understood that two
Acquire third.Value in above example we used site radius as function can also actually use filling rate generation
For radius, (13) or (17) or (20) at this moment can be substituted by (5) formula can respectively obtain the public affairs of the filling rate in several situations
Formula.
The result of design also can be used commercial simulated program such as TracePro or LightTools to be emulated, this is also wanted certainly
Above-mentioned distribution table is simply become the table for meeting the specific call format of simulated program that you use, need not also repeated here.
Embodiment 5
The present embodiment introduces how to be randomized the network point distribution of above-mentioned rule, it can be seen that influencing in aforementioned calculating process
The filling rate of site in the actually region of luminous flux, after obtaining aforementioned expression, the filling rate of site can
Meet the uniform effect of luminous flux so that each region of light guide plate.That is, site carries out in limited distance in the case
Carrying out small-scale displacement will not influence.In this way, we can generate a random number with random function mathematically, net is allowed
Point shakes a limited distance in subrange.Actual result prove this simple method also and can satisfy completely with
The requirement of machine.The use premise of this method is, obtains the function formula that site is distributed on light guide plate, first with net
Point is variable in the position coordinates of light guide plate, such as the Practical Formula obtained in several embodiments before.Then random letter is utilized
Number generates the random number within a site distance values, according to this to each site into row stochastic displacement, after being randomized
Network point distribution.
By taking the light guide plate of periphery entering light in embodiment 4 as an example, the distribution function in embodiment includes two variables of x and y, point
The other x and y coordinates to site randomness in the range of surrounding is not occupied by site moves a distance, one by one to all nets
Point carries out this operation, has just obtained new network point distribution.Specifically, using the formula for providing local randomization directly below
(21).Wherein rand () is random number generation function, it is assumed that it was generated is a random number within the scope of 0-1.Therefore
- 1 random number that will be obtained in -1~+1 range of 2rand ().X, y are the dot location in original document distribution table, Δ
X, Δ y are the site intervals at this in original site distribution table, and r (x, y) is the radius of site at this, in order to make the net after movement
The mutual no overlap of point, moveable distance are decided to be respectively in x, y both directionWithI.e.
The radius for partly deducting site at this again of the spacing of regular site.xnewAnd ynewIt is the later new position of randomization.
In this way, identical operation is carried out to each (x, y), the network point distribution coordinate after will being shaken.This mistake
As long as one section of program for increasing very little in the program of Cheng Qiu network point distribution table is completed.And with local method of randomization
It obtained new site substantially will not be Chong Die with neighbouring site.By xnewAnd ynewBringing into the function of network point distribution can obtain
To the site result after random.Certainly very small compared with for guide-lighting board size due to the distance of shake, and radius distribution function
It is a tempolabile function, i.e. functional value is little with the variation of position, only shake can also change the value of x and y without changing r value.
Therefore it can also be carried out after obtaining network point distribution table.
The result of such as Fig. 6 is handled using local method of randomization of the invention, as a result sees Fig. 7.
Emulate data verification:
Although formula is suitable for the light guide plate of any site point spacing, not any edge site radius can be obtained
Uniform illumination.This is because the reason of (5) formula, only suitable radius distribution can just obtain suitable filling rate distribution.For
Obtain the uniform illumination of light output surface, we will adjust r according to illumination simulation result1And r2.Fortunately this method needs to adjust
Variable is seldom, it is only necessary to which satisfied result can be obtained in limited times trial.
Unilateral entering light light guide plate emulation: for example, light guide plate, having a size of 100x60mm, coordinate origin puts spacing in center
Using 1.5mm, site radius is calculated with (13) formula.Emulation the result shows that, work as r1=0.3, light guide plate luminance when r2=0.37
The available preferable result of the uniformity.Radius distribution function at this time is r (x, 0.3,0.37,50), the half of entire light guide plate
Diameter distribution function curve is as shown in Figure 8 A.It can be calculated 2680 sites in the range of 98x58mm, with the method for embodiment 5
Randomization operation is carried out, as a result as shown in Fig. 8 B.The light guide plate surface Illumination Distribution emulated in TracePro, light number used
It is 700,000, as a result sees Fig. 8 C.
The emulation of opposite side entering light light guide plate: the case where for opposite side entering light, the flat lamp with luminous ceiling is practical mesh
Mark, calculating light guide plate side length is 270mm, and square net puts separation delta x=Δ y=1.4mm, calculates site with (17) formula
Radius.Emulation the result shows that, as center site r1=0.31mm, edge site r2=0.14mm, and axLight guide plate is bright when=2
The degree uniformity can be obtained by preferable result, and radius distribution function is r at this timex(x, 0.31,0.14,135,2), it is entire guide-lighting
The radius distribution function curve of plate is as shown in Figure 9 A.Total dot within the scope of 268x268mm is 32014, using local
Method of randomization optimization meter, nomogram 9B are calculated result.Fig. 9 C is the light guide plate surface Illumination Distribution emulated in TracePro.
The simulation result of Fig. 9 C is obtained without regionality amendment, and the uniformity has reached 97%, this also illustrates the present invention
Method be relatively successfully.
Four emulate in entering light light guide plate: entering light can be used for relatively large light guide plate when four, but reach at this time preferable
Uniformity it is just more difficult, but can preferably solve the problems, such as this with (20) formula of the invention.With the square of 1000x1000mm
For light guide plate.Here the knots such as its site radius distribution function, 220,000 circular shaped lattice point distributions, emulation Luminance Distribution are directly given
Fruit as shown in Figure 10 A, Figure 10 B and Figure 10 C, is no longer described in detail respectively.
For the technical effect for further proving the present invention program, applicant has made 270x270mm pairs according to above scheme
The guide-lighting plate sample of side entering light, site are circle, and black ink printing is carried out using two kinds of materials of PMMA and tempered glass respectively
Trial-production, and the lamps and lanterns of 300x300mm are assembled into, it is as shown in table 1 below places, the measured results such as luminous ceiling can be used in:
| 21114lx | 21339lx | 21686lx |
| 22178lx | 24466lx | 20365lx |
| 21215lx | 20158lx | 19663lx |
1 area source lamp surface brightness measured result of table
As shown in table 1, the surface illuminance uniformity measured after the sample actual processing, the uniformity 92.1%, with emulation
As a result there is difference, analysis is mainly since emulation is to be absorbed as zero progress according to material.Surface brightness is proportional to illumination.
In the prior art, four angles at rectangular light guide plate edge are easy different with intermediate illumination, and in our manufactures
Example in, there is no such case, calculated once wheel and obtained the good uniformity.In other cases, if there is
Non-uniform situation, or need the higher uniformity, then it can also carry out local directed complete set, that is, the site to certain positions
Modify its r value.Based on site radius distribution table, as long as judging x, whether y can use area of computer aided in the range of modification
To be modified.
The present invention is further disclosed based on light conducting plate structure obtained by the above method, comprising: light guide plate main body, for thickness
Uniform plate structure is spent, it is entering light positioned at least one of each side at the light-emitting surface edge that one side, which is light-emitting surface,
Side；Multiple sites, array distribution is in the opposite one side of the light-emitting surface, wherein the distribution of site, which meets in the present invention, to be designed
The relationship of leaded light Board position and dot parameters obtained in method.
The present invention also further discloses the luminaire using above-mentioned light guide plate, may be, for example, using LED, CCFL
The panel light of equal light sources.
The above-described embodiments merely illustrate the principles and effects of the present invention, and is not intended to limit the present invention.It is any ripe
The personage for knowing this technology all without departing from the spirit and scope of the present invention, carries out modifications and changes to above-described embodiment.Cause
This, institute is complete without departing from the spirit and technical ideas disclosed in the present invention by those of ordinary skill in the art such as
At all equivalent modifications or change, should be covered by the claims of the present invention.
Claims (3)
1. a kind of method of light guide plate mesh point distribution randomization, which comprises the following steps:
Obtain light guide plate mesh point distribution formula, using site light guide plate position coordinates as variable；
The random number within the distance values of site is generated using position coordinates of the random function to each site, according to this to each site
Coordinate is displaced, the network point distribution after obtaining distribution randomization.
2. the method for light guide plate mesh point distribution randomization according to claim 1, which is characterized in that each site coordinate
The displacement being displaced are as follows: site spacing and at this difference of dot size half, the product with the random number.
3. the method for light guide plate mesh point distribution randomization according to claim 2, which is characterized in that the model of the random number
Enclose is -1 to+1.
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| CN107843950A (en) * | 2017-10-11 | 2018-03-27 | 漳州立达信光电子科技有限公司 | A method for optimal design of dots of light guide plate |
| CN108680987B (en) * | 2018-06-29 | 2019-10-15 | 福州大学 | A design method for dot distribution of liquid crystal display light guide plate |
| CN108828708B (en) * | 2018-06-29 | 2019-08-09 | 福州大学 | A design method for dot distribution on the bottom surface of a side-entry light guide plate |
| CN111367008B (en) * | 2020-03-30 | 2022-04-22 | 昆山龙腾光电股份有限公司 | Light guide plate and backlight module |
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