CN110389445B - Light guide plate mesh point distribution design method with high light-emitting uniformity - Google Patents
Light guide plate mesh point distribution design method with high light-emitting uniformity Download PDFInfo
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Abstract
The invention relates to a light guide plate mesh distribution design method with high light-emitting uniformity, which comprises the steps of dividing a light guide plate into a plurality of mesh design areas equally, calculating to obtain the light intensity and illumination distribution condition of each point light source to different design areas, and calculating to obtain the theoretical illumination distribution condition of each design area; the theoretical illumination and the target illumination of a design area are constrained by introducing a merit function MF, and a mesh point distribution planning model of the light guide plate is established; and finally, solving the established mesh point distribution planning model to obtain the size, the number and the space between adjacent mesh points of the corresponding designed mesh points, thereby determining the mesh point distribution condition of the light guide plate. The invention can calculate the distribution condition of corresponding scattering mesh points aiming at the light guide plates with different sizes, replaces the traditional design which depends too much on human experience, and improves the mesh point design and manufacturing efficiency of the light guide plate.
Description
Technical Field
The invention relates to the technical field of light guide plates, in particular to a method for designing the distribution of mesh points of a light guide plate with high light-emitting uniformity.
Background
The light guide plate is a key technology for realizing light transmission from a light source to a target by utilizing multiple reflections, and is widely applied to equipment illumination, instrument panels, backlight sources, projection systems and the like. The experimental trial and error method is commonly applied in the light guide plate mesh point distribution design method, and generally generates an initial scattering mesh point design scheme according to the mesh point distribution characteristics of the existing product, then makes an initial sample according to the initial design scheme, then adjusts the mesh points according to the brightness measured by the sample and the product specification, including the parameters of the mesh points in terms of size, depth and the like, and then makes the sample again after the adjustment is finished, and thus the trial and error plate making is repeated until the light emitting uniformity of the sample reaches the target specification, and the design and manufacturing method usually consumes a large amount of manpower and material resources.
Therefore, in order to improve the design efficiency of the light guide plate mesh points, the dependence degree of artificial design experience is reduced. Researchers have performed a lot of work. In patent CN108627905A, researchers have designed a group of dots with diameters increasing in sequence from the light source entrance to the direction of the central axis of symmetry of the light guide plate, and the optimal value of each dot is obtained by testing with a distribution photometer, which results in a specific diameter range of 155 dots designed, so that the formed light guide plate has the best uniformity and the best light extraction rate. In patent CN108873154A, researchers designed the pit dots on the light guide plate to have a dot distribution in which the depth of the dots is controlled between 0.03 mm and 0.15mm from the near end of the light incident surface to the far end of the light incident surface, so as to solve the problems of larger dots and unattractive appearance in the light guide plate and enhance the transparency of the light guide plate after dotting. However, the two patent schemes have certain limitations, the mesh points designed by the former are generally large in diameter, the maximum diameter reaches 1.6mm, the designed mesh points are obtained by testing light guide plates with different sizes through a distribution photometer, and the design process is still complex; in the latter case, the designed mesh point depth is gradually changed, and the mesh point diameter distribution is uncontrollable, which has high requirements on the implementation process and difficult manufacturing method and is not suitable for high-efficiency production. There is a need for a new design that will continue to improve upon these problems.
Disclosure of Invention
In view of the above, the present invention provides a method for designing the distribution of light guide plate dots with high uniformity of light output, which can calculate the distribution of corresponding scattering dots for light guide plates with different sizes, so as to replace the traditional design that relies too much on human experience, and improve the efficiency of designing and manufacturing the light guide plate dots.
The invention is realized by adopting the following scheme: a design method for the distribution of light guide plate mesh points with high light-emitting uniformity comprises the steps of equally dividing a light guide plate into a plurality of mesh point design areas, calculating to obtain the light intensity and illumination distribution conditions of each point light source to different design areas, and calculating to obtain the theoretical illumination distribution condition of each design area; the theoretical illumination and the target illumination of a design area are constrained by introducing a merit function MF, and a mesh point distribution planning model of the light guide plate is established; and finally, solving the established mesh point distribution planning model to obtain the size, the number and the space between adjacent mesh points of the corresponding designed mesh points, thereby determining the mesh point distribution condition of the light guide plate.
Further, the method includes the following steps of equally dividing the light guide plate into a plurality of dot design areas, calculating to obtain the light intensity and illumination distribution of each dot light source to different design areas, and calculating to obtain the theoretical illumination distribution of each design area:
step S11: establishing an OABC-O 'A' B 'C' model of the light guide plate in a Cartesian coordinate system 3, wherein the coordinate of any point P on the light guide plate is P (x, y, z), and l, w and h respectively represent the total length, width and height of the light guide plate; more than one LED light source is placed at any position in the height z direction on the basis of one side, two sides or multiple sides of the light guide plate, and the LED light sources are all point light sources and are marked as s1、s2…sk,k∈N*Having a height hLED=a*h,a∈(0,1);
Step S12: the OABC is an xOy projection plane of a Cartesian coordinate system, the OABC is divided into m and n equal parts along OA and OC directions, and a corresponding mesh distribution area is marked as Q11…Q1n,Q21…Q2n,…,Qm1…QmnThe light-emitting plane O 'A' B 'C' of the light guide plate is considered as a receiving plane corresponding to the mesh point distribution area;
step S13: the theoretical light intensity distribution I (u, v) on the light guide plate dot distribution plane OABC is expressed as:
I(u,v)=Γ*s(θ,φ);
where (u, v) are two degrees of freedom on the dot distribution plane OABC; s (theta, phi) is the light distribution characteristics of the LED light sources in the system, and the light distribution characteristics of each LED light source are consistent; (θ, φ) are two degrees of freedom in the angular space in which the light source is located; Γ is the optical operator obeys the optical track equation and is expressed as:
Γ=Γ(n(r));
in the formula, n (r) represents the spatial distribution of the refractive index of the medium, and the spatial medium is uniform in area, so that the spatial distribution of the refractive index n (r) is simplified into the refractive index n of the adopted light guide plate material;
step S14: distributing the mesh points in an area Q11…Q1n,Q21…Q2n,…,Qm1…QmnThe corresponding light intensity is denoted as I11…I1n,I21…I2n,…,Im1…ImnThe illumination corresponding to the dot distribution area satisfies the inverse square law of point light source illumination, and is expressed as:
in the formula, EmnRepresenting a dot distribution area QmnTotal illumination intensity of; ekmnRepresenting point sources skIn the region QmnThe illuminance of (a); theta is the region QmnThe plane forms an included angle with the normal direction of the plane; r iskmnRepresenting point light sourcesTo region QmnThe distance between centers, expressed as:
further, the method for establishing the mesh point distribution planning model of the light guide plate by introducing the figure of merit function MF to constrain the theoretical illumination and the target illumination of the design area specifically comprises the following steps:
step S21: evaluating the difference between the target illumination of the receiving surface and the illumination corresponding to the mesh point distribution area by using a merit function MF, wherein the merit function MF is used as a planning model of the mesh point distribution of the light guide plate and is expressed as:
of formula (II) to'mnIs a region QmnCorresponding to the target illumination value of the receiving surface; omegamnIs a region QmnCorresponding to the weight of the receiving surface in the whole receiving surface, and controlling to make the weight value of the central area of the receiving surface large and the weight value of the edge of the receiving surface small;
step S22: the planning model of the light guide plate mesh point distribution needs to satisfy the following relations at the same time:
further, each distribution point area QmnInner dot radius rdotAnd the number NmnBoth are constants, and both should also satisfy the following relationship:
in the formula, SmnIs a distribution point region QmnThe area of (d); dmnIs a distribution point region QmnDensity of inner dots, each of said dotting regions QmnDensity of inner dots DmnShould be the same, dot density value DmnThe content is controlled between 10% and 30%.
Furthermore, the mesh points are distributed in a rectangular staggered manner, and the distances between the central points of the adjacent mesh points in the length direction and the width direction of the light guide plate are respectively marked as delta xdot、ΔydotFrom Δ xdot、Δydot、rdotAfter determining the distribution of the screen dots of the light guide plate, the method also comprises the step of transferring the designed screen dots onto the light guide plate by a screen printing or ink-jet printing screen dot processing method, so as to realize the preparation of the light guide plate.
Compared with the prior art, the invention has the following beneficial effects: according to the invention, by calculating the theoretical illumination distribution of each component area of the light guide plate, defining the functional relation between the target illumination and the theoretical illumination and establishing the light guide plate mesh point distribution planning model, the mesh point distribution condition corresponding to the light guide plate with different sizes can be calculated, the defect that the traditional design is too dependent on human experience is overcome, and the design efficiency of the mesh points of the light guide plate is improved. The design mesh points can be transferred to the light guide plate by a mesh point processing method of screen printing or ink-jet printing, so that the preparation of the light guide plate is realized, and the production cost of the light guide plate is saved.
Drawings
Fig. 1 is a schematic diagram of a light guide plate model and a spatial position of a side LED light source thereof according to an embodiment of the invention.
Fig. 2 is a schematic diagram of dividing a dot distribution plane OABC region according to an embodiment of the present invention.
FIG. 3 shows a point light source s according to an embodiment of the present inventionkIn the dot distribution region QmnSchematic diagram of illuminance calculation.
Fig. 4 is a schematic diagram illustrating a specific distribution of dots in a rectangular staggered arrangement according to an embodiment of the present invention.
Fig. 5 is a schematic view of a software simulation illuminance condition of the light guide plate model with the dot distribution according to the embodiment of the present invention.
Detailed Description
The invention is further explained below with reference to the drawings and the embodiments.
It should be noted that the following detailed description is exemplary and is intended to provide further explanation of the disclosure. Unless defined otherwise, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this application belongs.
It is noted that the terminology used herein is for the purpose of describing particular embodiments only and is not intended to be limiting of example embodiments according to the present application. As used herein, the singular forms "a", "an" and "the" are intended to include the plural forms as well, and it should be understood that when the terms "comprises" and/or "comprising" are used in this specification, they specify the presence of stated features, steps, operations, devices, components, and/or combinations thereof, unless the context clearly indicates otherwise.
The embodiment provides a light guide plate mesh point distribution design method with high light-emitting uniformity, which comprises the steps of dividing a light guide plate into a plurality of mesh point design areas equally, calculating to obtain the light intensity and illumination distribution condition of each point light source to different design areas, and calculating to obtain the theoretical illumination distribution condition of each design area; the theoretical illumination and the target illumination of a design area are constrained by introducing a merit function MF, and a mesh point distribution planning model of the light guide plate is established; and finally, solving the established mesh point distribution planning model to obtain the size, the number and the space between adjacent mesh points of the corresponding designed mesh points, thereby determining the mesh point distribution condition of the light guide plate.
In this embodiment, equally dividing the light guide plate into a plurality of dot design regions, calculating to obtain the light intensity and illuminance distribution of each dot light source to different design regions, and then calculating to obtain the theoretical illuminance distribution of each design region, specifically includes the following steps:
step S11: as shown in fig. 1, a light guide plate OABC-O 'a' B 'C' model is established in a cartesian coordinate system 3, and coordinates of any point P thereon are P (x, y, z), where l, w, h respectively represent the total length, width and height of the light guide plate, and the specific dimensions of the length, width and height of the light guide plate may be 135 × 76 × 2 mm;
the LED light sources may be placed on one, both or more sides of the light guide plate, in fig. 1 the LED light sources are placed on one side of the light guide plate, said LED light sources being placed in the height z direction of the light guide plate and being denoted s1、s2…sk,k∈N*Having a height hLEDA ═ h, a ∈ (0, 1); the number of the LEDs is determined according to the actual size of the light guide plate, and in the present embodiment, 23 LEDs are used;
step S12: as shown in fig. 2, the halftone dot distribution plane OABC is an xOy projection plane of the cartesian coordinate system, and is divided into m and n equal parts along OA and OC directions, where the m and n equal parts are determined by the total length and width of the light guide plate (in this embodiment, m is equal to n and equal to 5)) The corresponding dot distribution area is marked as Q11…Q1n,Q21…Q2n,…,Qm1…QmnThe light-emitting plane O 'A' B 'C' of the light guide plate is considered as a receiving plane corresponding to the mesh point distribution area;
step S13: the theoretical light intensity distribution I (u, v) on the light guide plate dot distribution plane OABC is expressed as:
I(u,v)=Γ*s(θ,φ);
where (u, v) are two degrees of freedom on the dot distribution plane OABC; s (theta, phi) is the light distribution characteristics of the LED light sources in the system, and the light distribution characteristics of each LED light source are consistent; (θ, φ) are two degrees of freedom in the angular space in which the light source is located; Γ is the optical operator obeys the optical track equation and is expressed as:
Γ=Γ(n(r));
in the formula, n (r) represents the spatial distribution of the refractive index of the medium, and since all the spatial media are uniform in area, the spatial distribution of the refractive index n (r) is simplified to the refractive index n of the light guide plate material, where n is 1.49386 in this embodiment;
step S14: distributing the mesh points in an area Q11…Q1n,Q21…Q2n,…,Qm1…QmnThe corresponding light intensity is denoted as I11…I1n,I21…I2n,…,Im1…ImnThe illumination corresponding to the dot distribution area satisfies the inverse square law of point light source illumination, and is expressed as:
in the formula, EmnRepresenting a dot distribution area QmnTotal illumination intensity of; ekmnRepresenting point sources skIn the region QmnThe illuminance of (a); as shown in FIG. 3, θ is the region QmnThe included angle formed by the plane and the normal direction thereof meets the requirement of theta epsilon (0, pi/2) and rkmnRepresenting point light sourcesTo region QmnThe distance between centers, expressed as:
in this embodiment, the method for establishing a mesh point distribution planning model of a light guide plate by introducing a merit function MF to constrain theoretical illuminance and target illuminance in a design area specifically includes the following steps:
step S21: evaluating the difference between the target illumination of the receiving surface and the illumination corresponding to the mesh point distribution area by using a merit function MF, wherein the merit function MF is used as a planning model of the mesh point distribution of the light guide plate and is expressed as:
of formula (II) to'mnIs a region QmnCorresponding to the target illumination value of the receiving surface; omegamnIs a region QmnCorresponding to the weight of the receiving surface in the whole receiving surface, and controlling to make the weight value of the central area of the receiving surface large and the weight value of the edge of the receiving surface small;
in particular, in the present embodiment, the weight ω ismnThe following relationship is also satisfied:
wherein p and Q are regions QmnIn two adjacent regions Q(m-1)n、Qm(n-1)The coefficients in the direction, in this embodiment, p, q also satisfy p + q ═ eπ/5;
Step S22: the planning model of the light guide plate mesh point distribution needs to satisfy the following relations at the same time:
preferably, in this embodiment, the dot distributions are arranged in a rectangular staggered manner, as shown in fig. 4, distances between adjacent dots along the OA and OC directions are respectively marked as Δ xdot、Δydot. Each distribution point area QmnInner dot radius rdotAnd the number NmnAre both constants, and both also satisfy the following relationship:
in the formula, SmnIs a distribution point region QmnThe area of (d); dmnIs a distribution point region QmnDensity of inner dots, each of said dotting regions QmnDensity of inner dots DmnShould be the same, dot density value DmnThe size of the light guide plate can be controlled between 10% and 30%, but is not limited to this. As shown in FIG. 4, the specific arrangement of the dots is represented by Δ xdot、Δydot、rdotDetermine, and Δ xdot、ΔydotIs SmnThe rectangular geometry of the same is not described in detail. In this example,. DELTA.xdot=1000mm,Δydot=2000mm,rdot320mm, but is not limited thereto.
In this embodiment, after determining the dot distribution of the light guide plate, the method further includes transferring the designed dots onto the light guide plate by a screen printing or inkjet printing method, so as to implement the manufacturing of the light guide plate.
Preferably, in this embodiment, the dots are all hemispherical printing ink dots, and the depth h of each design dot isdotThe thickness is consistent and determined by the actual printing equipment and may be, but is not limited to, 10mm, 15mm, 20mm, 25mm, 30mm, 35mm, 40 mm.
Preferably, in this embodiment, the dots can be implemented by a dot processing method of screen printing or inkjet printing.
Preferably, in this embodiment, the printing ink components include reactive oligomers, reactive monomers, binders, reflective particle photoinitiators, colorants, and additives. The ink is prepared by combining one or more of the components in certain mass percentage. The printing ink can adopt one or a mixture of two of the ink with few reflective particles and the ink with many reflective particles according to a certain mass ratio, wherein the mass ratio of the mixture of the ink and the ink can be 1:1, 1:2, 1:3, 1:4, 1:5, 2:3, 2:4, 2:5, 3:4, 3:5, 4:5 and the like, but the printing ink is not limited to the above.
In this embodiment, fig. 5 is a schematic view of a simulated illuminance condition in which the dot distribution is applied to the light guide plate model by using optical simulation software, where the schematic view of the simulated illuminance condition visually indicates the characteristic of high light-emitting uniformity of the light guide plate, and the light-emitting luminance uniformity is better than 93%. In addition, the illuminance distribution of the light guide plate in the horizontal and vertical directions is kept high in consistency.
As will be appreciated by one skilled in the art, embodiments of the present application may be provided as a method, system, or computer program product. Accordingly, the present application may take the form of an entirely hardware embodiment, an entirely software embodiment or an embodiment combining software and hardware aspects. Furthermore, the present application may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, and the like) having computer-usable program code embodied therein.
The present application is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the application. It will be understood that each flow and/or block of the flow diagrams and/or block diagrams, and combinations of flows and/or blocks in the flow diagrams and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means which implement the function specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
The foregoing is directed to preferred embodiments of the present invention, other and further embodiments of the invention may be devised without departing from the basic scope thereof, and the scope thereof is determined by the claims that follow. However, any simple modification, equivalent change and modification of the above embodiments according to the technical essence of the present invention are within the protection scope of the technical solution of the present invention.
Claims (4)
1. A light guide plate mesh point distribution design method with high light-emitting uniformity is characterized in that a light guide plate is equally divided into a plurality of mesh point distribution areas, the light intensity and illumination distribution conditions of each point light source to different distribution areas are obtained through calculation, and then the theoretical illumination distribution condition of each distribution area is obtained through calculation; the theoretical illumination and the target illumination of a design area are constrained by introducing a merit function MF, and a mesh point distribution planning model of the light guide plate is established; finally, solving the established mesh point distribution planning model to obtain the size, the number and the space between adjacent mesh points of the corresponding designed mesh points, thereby determining the mesh point distribution condition of the light guide plate;
the method specifically comprises the following steps of introducing a merit function MF to constrain theoretical illumination and target illumination of a design area and establishing a mesh point distribution planning model of the light guide plate:
step S21: evaluating the difference between the target illumination of the receiving surface and the illumination corresponding to the mesh point distribution area by using a merit function MF, wherein the merit function MF is used as a planning model of the mesh point distribution of the light guide plate and is expressed as:
in the formula, a light guide plate OABC-O 'A' B 'C' model is established in a Cartesian coordinate system, a mesh point distribution plane OABC is made to be an xOy projection plane of the Cartesian coordinate system, the mesh point distribution plane OABC is divided into m and n equal parts along OA and OC directions respectively, and a corresponding mesh point distribution area is marked as Q11…Q1n,Q21…Q2n,…,Qm1…Qmn,EmnRepresenting a dot distribution area QmnTotal illumination intensity of; e'mnIs a dot distribution region QmnCorresponding to the target illumination value of the receiving surface; omegamnIs a dot distribution region QmnCorresponding to the weight of the receiving surface in the whole receiving surface, and controlling to make the weight value of the central area of the receiving surface large and the weight value of the edge of the receiving surface small;
step S22: the planning model of the light guide plate mesh point distribution needs to satisfy the following relations at the same time:
in the formula, rdotAnd NmnRespectively, a dot distribution region QmnInner dot radius and dot number, SmnIs a dot distribution region QmnThe area of (d); dmnIs a dot distribution region QmnDensity of inner dots, distribution area Q of each dotmnDensity of inner dots DmnAre the same.
2. The method as claimed in claim 1, wherein the method comprises the steps of equally dividing the light guide plate into a plurality of dot distribution areas, calculating the light intensity and illumination distribution of each dot light source to different design areas, and calculating the theoretical illumination distribution of each design area, wherein the method comprises the following steps:
step S11: the method comprises the following steps of (1) enabling a light guide plate OABC-O 'A' B 'C' model to have the coordinate of any point P as P (x, y, z), wherein l, w and h respectively represent the total length, the width and the height of the light guide plate; more than one LED light source is placed at any position in the height z direction on the basis of one side, two sides or multiple sides of the light guide plate, and the LED light sources are all point light sources and are marked as s1、s2…sk,k∈N*Having a height hLED=a*h,a∈(0,1);
Step S12: the mesh point distribution plane OABC is divided into m and n equal parts along the OA and OC directions respectively, and the corresponding mesh point distribution area is marked as Q11…Q1n,Q21…Q2n,…,Qm1…QmnThe light-emitting plane O 'A' B 'C' of the light guide plate is considered as a receiving plane corresponding to the mesh point distribution area;
step S13: the theoretical light intensity distribution I (u, v) on the light guide plate dot distribution plane OABC is expressed as:
I(u,v)=Γ*s(θ,φ);
where (u, v) are two degrees of freedom on the dot distribution plane OABC; s (theta, phi) is the light distribution characteristics of the LED light sources in the system, and the light distribution characteristics of each LED light source are consistent; (θ, φ) are two degrees of freedom in the angular space in which the light source is located; Γ is an optical operator, obeying the optical track equation, expressed as:
Γ=Γ(n(r));
in the formula, n (r) represents the spatial distribution of the refractive index of the medium, and the spatial medium is uniform in area, so that the spatial distribution of the refractive index n (r) is simplified into the refractive index n of the adopted light guide plate material;
step S14: distributing the mesh points in an area Q11…Q1n,Q21…Q2n,…,Qm1…QmnThe corresponding light intensity is denoted as I11…I1n,I21…I2n,…,Im1…ImnThe illumination corresponding to the dot distribution area satisfies the inverse square law of point light source illumination, and is expressed as:
in the formula, EmnRepresenting a dot distribution area QmnTotal illumination intensity of; ekmnRepresenting point light sources SkIn the dot distribution region QmnThe illuminance of (a); theta is rkmnAnd a dot distribution region QmnThe angle between the normal directions of (a); r iskmnRepresenting point light sourcesTo the dot distribution area QmnThe distance between centers, expressed as:
3. the light guide plate mesh distribution with high light extraction uniformity as claimed in claim 1Method for measuring the density of said dots, characterized in that said dot density value DmnThe content is controlled between 10% and 30%.
4. The method as claimed in claim 1, further comprising transferring the design dots to the light guide plate by screen printing or inkjet printing to realize the preparation of the light guide plate after determining the dot distribution of the light guide plate.
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