CN102287756A - LED light distribution lens curved surface construction method and LED light distribution lens - Google Patents
LED light distribution lens curved surface construction method and LED light distribution lens Download PDFInfo
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Abstract
The invention provides a curved surface construction method of an LED light distribution lens and the LED light distribution lens, wherein the method comprises the following steps: dividing an LED light source into sub light sources in preset parts according to an energy equal division principle, and dividing a determined illumination area into illumination grids which are the same as the LED light source in parts and are equal in area; establishing a one-to-one corresponding relation between each sub light source and each lighting grid according to an energy conservation law; calculating the projection angle of each sub-light source according to the corresponding relation, and determining the deflection angle of each sub-light source according to the illumination grid position corresponding to each sub-light source; and calculating the slope of a light distribution curve according to the projection angle, the deflection angle and the obtained lens refractive index, and constructing a curved surface of the light distribution lens according to each slope of the light distribution curve. The invention realizes the uniformity of secondary light distribution of the LED, thereby ensuring that the brightness distribution of the illumination area is uniform.
Description
Technical field
The present invention relates to the Application Optics field, relate to a kind of LED light-distribution lens curved surface structure method and LED light-distribution lens in particular.
Background technology
LED (Light Emitting Diode, light emitting diode) is a kind of solid-state semiconductor devices that electric energy can be converted into visible light, and LED is because plurality of advantages such as its energy consumption is low, luminous efficiency is high and the life-span is long, in being widely used in all kinds of illuminators.Because the volume of led chip is less, makes its light-emitting area little, high directivity, so irradiated area is limited, need carry out secondary light-distribution, to satisfy actual lighting demand.
Luminous intensity distribution promptly is meant the intensity of light source of LED emission is distributed again, make the field of illumination Luminance Distribution reach the required standards, at present, the light distribution curved surface building method of existing LED, usually utilize principle of reflection design, by the structure light distribution curved surface as fully reflecting surface, be configured to the side of reflector, led light source is installed in the reflector, thereby make light source shine the whole reflected back reflectors of light of this side, thereby reduced the loss that LED is transmitted into the light energy of side, improved the efficiency of light energy utilization.
But, because the light source direction of LED is single, main concentration of energy is at mid portion, the light distributing method of reflector just distributes the light energy that is transmitted into the side, and most luminous energy of the mid portion of LED emission can not be redistributed, thereby make that the Luminance Distribution of field of illumination is inhomogeneous.
Summary of the invention
In view of this, the invention provides a kind of LED light-distribution lens curved surface structure method and LED light-distribution lens, inhomogeneous in order to solve the led light source luminous intensity distribution, thus make the problem of field of illumination brightness irregularities.
For achieving the above object, the invention provides following technical scheme:
A kind of LED light-distribution lens curved surface structure method comprises:
According to the energy equipartition principle led light source is divided into the sub-light source of presetting umber, and the field of illumination of determining is divided into and described led light source equal parts and every part of illumination grid that area equates;
Set up the one-to-one relationship of every one's share of expenses for a joint undertaking light source and every part of illumination grid according to law of conservation of energy;
The described corresponding relation of foundation calculates the crevice projection angle of every one's share of expenses for a joint undertaking light source, and, determine every one's share of expenses for a joint undertaking light source deflection angle according to the illumination grid position of every one's share of expenses for a joint undertaking light source correspondence;
According to described crevice projection angle, deflection angle and the index of refraction in lens obtained, calculate the distribution curve flux slope, and according to each distribution curve flux slope structure light-distribution lens curved surface.
Preferably, described definite field of illumination is a border circular areas, and the radius of described circular illumination is that the vertical range according to the maximum crevice projection angle of led light source and described led light source and described field of illumination calculates.
Preferably, describedly the sub-light source that led light source is divided into default umber is specially according to the energy equipartition principle:
Led light source is divided into first default several annular light sources according to the energy equipartition principle;
According to the angle average principle each annular light source is divided, formed the sub-light source of default umber.
Then described crevice projection angle is specially every one's share of expenses for a joint undertaking light source along the light of the outgoing on its angle direction and the angle of vertical direction, and the distribution curve flux slope is the slope of curve of different angles direction correspondence.
Preferably, be under the situation of border circular areas in the field of illumination, describedly the field of illumination of determining is divided into the illumination grid that equates with described led light source equal parts and every part of area is specially:
Circular illumination is divided first default several ring network lattice according to the area equipartition principle;
According to the angle average principle each annular grid is divided, formed the illumination grid of default umber.
Preferably, the corresponding relation formula of described every one's share of expenses for a joint undertaking light source and every part of illumination grid is:
∫I(θ)dθ=∫
Stds;
Wherein, I (θ)=A*cos
2θ is the light distribution function of described led light source, and A is a light source parameters, and θ is the crevice projection angle of every one's share of expenses for a joint undertaking light source, and s is illumination grid area, and t is the average illumination value.
Preferably, be under the situation of border circular areas in the field of illumination, described corresponding relation formula is specially:
Wherein, r is the distance of illumination grid to the center, field of illumination,
Different angles for the field of illumination division.
Preferably, according to described crevice projection angle, deflection angle and the index of refraction in lens obtained, calculate the distribution curve flux slope and be specially and bring crevice projection angle, deflection angle and the index of refraction in lens obtained into law of refraction computing formula, calculate the distribution curve flux slope, described law of refraction computing formula is:
nsin(β+θ)=sin(β+θ
out);
Wherein, θ
OutBe deflection angle, n is the light-distribution lens refractive index, and the tangent value tan β that calculates is the distribution curve flux slope.
Preferably, described illumination grid position according to every one's share of expenses for a joint undertaking light source correspondence determines that described light source deflection angle is specially:
Determine the vertical range h of described field of illumination and described led light source, and, the illumination grid of every one's share of expenses for a joint undertaking light source correspondence and center, field of illumination apart from r;
According to formula tan θ
Out=r/h calculates deflection angle θ
Out
Preferably, describedly be specially according to each distribution curve flux slope structure light-distribution lens curved surface:
Set up space coordinates;
According to normal vector and described distribution curve flux vertical relation and each distribution curve flux slope of every bit place distribution curve flux, calculate the coordinate figure of each point in space coordinates;
According to the each point coordinate figure, structure is joined the mirror curved surface.
Preferably, described by circular illumination is specially according to area equipartition principle division first default several ring network lattice:
With described field of illumination according to formula
Divide, wherein, r is the distance of illumination grid to the center, field of illumination, and R is the field of illumination radius, and m is first present count, and the n value is 1,2,3......m.
A kind of LED light-distribution lens, described light-distribution lens is a sphere near the one side of led light source, be the light-distribution lens curved surface that designs according to each described method of claim 1~10 away from the one side of led light source.
Via above-mentioned technical scheme as can be known, compared with prior art, the invention provides a kind of LED light-distribution lens curved surface structure method and LED light-distribution lens, led light source and field of illumination are divided into identical umber, the energy of every one's share of expenses for a joint undertaking light source equates, the area of every part of illumination grid equates, set up the one-to-one relationship of every one's share of expenses for a joint undertaking light source and every part of illumination grid according to conservation of energy principle, make every one's share of expenses for a joint undertaking energy of light source and the energy of distributing to every part of illumination grid equate, and calculate the crevice projection angle of every one's share of expenses for a joint undertaking light source according to the corresponding relation formula, and the deflection angle that calculates sub-light source, bring into then in the law of refraction computing formula, calculate the distribution curve flux slope, and according to each distribution curve flux slope, find the solution and construct the light-distribution lens curved surface, described light-distribution lens curved surface, be the one side away from led light source of LED light-distribution lens, and simultaneously be designed to common curved surface near led light source, light can directly pass, LED light-distribution lens curved surface of the present invention, be according to conservation of energy principle, to be distributed on the field of illumination luminous intensity redistributes, make the luminous intensity of every part of illumination grid equate, thereby make the field of illumination illuminance distribution, thereby described light-distribution lens curved surface makes that the LED secondary light-distribution is more even.
Description of drawings
In order to be illustrated more clearly in the embodiment of the invention or technical scheme of the prior art, to do to introduce simply to the accompanying drawing of required use in embodiment or the description of the Prior Art below, apparently, accompanying drawing in describing below only is embodiments of the invention, for those of ordinary skills, under the prerequisite of not paying creative work, can also obtain other accompanying drawing according to the accompanying drawing that provides.
Fig. 1 is the flow chart of a kind of LED light-distribution lens of the present invention curved surface structure method embodiment 1;
Fig. 2 concerns schematic diagram for the light refraction of a light source of the present invention;
Fig. 3 is the flow chart of a kind of LED light-distribution lens of the present invention curved surface structure method embodiment 2;
Fig. 4 divides schematic diagram for led light source of the present invention;
Fig. 5 divides schematic diagram for field of illumination of the present invention;
Fig. 6 is a kind of LED light-distribution lens of the present invention structural representation.
The specific embodiment
Below in conjunction with the accompanying drawing in the embodiment of the invention, the technical scheme in the embodiment of the invention is clearly and completely described, obviously, described embodiment only is the present invention's part embodiment, rather than whole embodiment.Based on the embodiment among the present invention, those of ordinary skills belong to the scope of protection of the invention not making the every other embodiment that is obtained under the creative work prerequisite.
The embodiment of the invention discloses a kind of LED light-distribution lens curved surface structure method and LED light-distribution lens, led light source is divided into identical umber with the field of illumination, the energy of every one's share of expenses for a joint undertaking light source equates, the area of every part of illumination grid equates, set up the one-to-one relationship of every one's share of expenses for a joint undertaking light source and every part of illumination grid according to conservation of energy principle, thereby guarantee that every part of illumination grid obtains the luminous intensity equalization, calculate the crevice projection angle of every one's share of expenses for a joint undertaking light source then according to the corresponding relation formula, and the deflection angle that calculates sub-light source, according to described crevice projection angle and deflection angle and calculate the distribution curve flux slope, and according to each distribution curve flux slope, find the solution and construct the light-distribution lens curved surface, described light-distribution lens curved surface, be the one side away from led light source of LED light-distribution lens, and simultaneously be designed to common curved surface near led light source, light can directly pass, LED light-distribution lens curved surface of the present invention, be according to conservation of energy principle, to be distributed on the field of illumination luminous intensity redistributes, make the luminous intensity of every part of illumination grid equate, thereby make that the field of illumination light intensity distributions is even, thereby described light-distribution lens curved surface makes that the LED secondary light-distribution is more even.
Referring to Fig. 1, show the flow chart of a kind of LED light-distribution lens of the present invention curved surface structure method embodiment 1, described method comprises:
Step 101: according to the energy equipartition principle led light source is divided into the sub-light source of presetting umber, and the field of illumination of determining is divided into and described led light source equal parts and every part of illumination grid that area equates.
The curved surface of constructing by the method for designing of the LED light-distribution lens curved surface that present embodiment provided, and then the lens of making by this curved surface, can realize the secondary light-distribution to LED, secondary light-distribution is meant that the light that LED is sent concentrates in the field of illumination of expectation, makes LED satisfy the illumination design requirement.Scioptics change the angle of light emitted light, thereby change lighting area and illumination.Present embodiment promptly is based on the basis of secondary light-distribution, design light-distribution lens curved surface.
At first the led light source of LED is divided into the sub-light source of default umber according to the energy equipartition principle, be that the luminous intensity that every one's share of expenses for a joint undertaking light source sends all equates, because the hot spot that the light that led light source takes place forms is a circular light spot, therefore led light source is divided according to round-shaped, led light source is divided into first default several annular light sources according to the energy equipartition principle; According to the angle average principle each annular light source is divided then, each annular light source is divided composition second default several light sources, therefore can form the sub-light source of default umber, described default umber value is the product value of first present count and second present count.
Need to prove that described led light source is divided preset umber, it can also be: led light source is divided into second default several sectored light sources according to the angle average principle; According to the energy equipartition principle each fan-shaped light source is divided, each fan-shaped light source is divided into first default several light sources again, therefore can form the sub-light source of default umber.The present invention is not limited to concrete stripe sequence, and the energy that only needs to satisfy the every one's share of expenses for a joint undertaking light emitted that marks off equates to get final product.
Described first present count and second present count are according to different concrete selections of actual conditions, and the sub-light source of formation is many more, and the result who obtains is accurate more, the example of a practical application is, first present count is that 60, the second present count are 90, therefore can be divided into 60*90 one's share of expenses for a joint undertaking light source.
Need to prove that above-mentioned division is based on the division on the polar coordinate system, annular light source is a direction radially, and fan-shaped light source is the division along angle.
In order to realize that designed curved surface can be so that source light be evenly distributed in the field of illumination, described field of illumination also needs to divide, be divided into illumination grid with described led light source equal parts according to the area equipartition principle, i.e. the area of each part illumination grid all equates.The assurance area equates, is in order to guarantee that the luminous intensity in each grid equates.
Described field of illumination is specifically set according to different lighting demands, the situation that with the field of illumination is border circular areas is an example, wherein, the radius of described border circular areas is according to the vertical range of the maximum crevice projection angle of led light source and described led light source and described field of illumination, calculates.Described maximum crevice projection angle promptly is the maximum shooting angle of led light source.The center that is described border circular areas is intersecting vertically a little of led light source and field of illumination.
For the light intensity distributions that guarantees border circular areas is even, described circular illumination division methods can be specially:
Circular illumination is divided first default several ring network lattice according to the area equipartition principle;
According to the angle average principle each annular grid is divided, each annular grid is divided into second default several grids, therefore can form the illumination grid of default umber.
It can also be:
Circular illumination is divided into second default several the fan-shaped grid according to the angle average principle;
According to the energy equipartition principle each fan-shaped grid is divided, each fan-shaped grid is divided into first default several grids, therefore can form the illumination grid of default umber.
Need to prove, described field of illumination can also be other shapes, and perhaps erose figure only needs to guarantee described field of illumination is divided into illumination grid with the led light source equal parts, and each illumination grid area equates, can construct lens curved surface according to implementation of the present invention.
Step 102: the one-to-one relationship of setting up every one's share of expenses for a joint undertaking light source and every part of illumination grid according to law of conservation of energy.
Led light source and field of illumination all have been divided into default umber, for the light intensity distributions that satisfies the field of illumination even, set up the one-to-one relationship of every one's share of expenses for a joint undertaking light source and illumination grid, it is the corresponding illumination grid of a light source, the corresponding a light source of illumination grid, because in the step 101, the energy of every one's share of expenses for a joint undertaking light source equates, and the area of every part of illumination grid equates, the principle that equates according to the luminous intensity of every one's share of expenses for a joint undertaking light emitted and luminous intensity on being distributed in its corresponding illumination grid, set up this corresponding relation, thereby the luminous intensity that can guarantee each illumination grid equates that the corresponding relation formula of setting up according to law of conservation of energy is::
∫I(θ)dθ=∫
Stds
Wherein, I (θ) is the light distribution function, and by in the step 101, led light source is generally lambert's body light source, i.e. I (θ)=A*cos
2θ, wherein, A is a light source parameters, according to different led chip models and difference, described θ represents every one's share of expenses for a joint undertaking light source at the angle along emergent ray on the direction of angle correspondence and vertical direction.The area of S representative illumination grid, t is the average illumination value, described average illumination value is meant the gross area of light source gross energy divided by the field of illumination.
In described field of illumination is under the situation of border circular areas, and described corresponding relation formula is specially:
Wherein, r is the distance of the point of illumination on the grid to the center, field of illumination, also is approximately the distance of illumination grid to the center, field of illumination, and the point on the described illumination grid specifically can be to be positioned at the especially point on the annulus edge of ring network,
Be meant the different angles of dividing according to the angle average principle.
Because the corresponding relation formula satisfies law of conservation of energy, therefore can calculate every part of pairing sub-light source of illumination grid along the crevice projection angle θ on the direction of its angle correspondence according to the corresponding relation formula.
Step 103: calculate the crevice projection angle of every one's share of expenses for a joint undertaking light source according to this corresponding relation, and, determine the deflection angle of every one's share of expenses for a joint undertaking light source according to the illumination grid position of every one's share of expenses for a joint undertaking light source correspondence.
By described corresponding relation formula,, can find the solution and draw the crevice projection angle θ of every part of pairing sub-light source of illumination grid along the direction of its angle correspondence according to the integral and calculating process.Then at the deflection angle θ out that determines every one's share of expenses for a joint undertaking light source according to the position of this part illumination grid.Can draw incident angle and the shooting angle of every one's share of expenses for a joint undertaking light source through curved surface to be designed thus, incident angle is θ, and shooting angle is θ out.
Wherein, during border circular areas that the field of illumination is determined for the present invention, in the above-mentioned relation formula,
Can represent the position of each illumination grid, so the computational process of deflection angle θ out is specially:
Determine the vertical range h of described field of illumination and described led light source, and, every part of illumination grid range blanking regional center apart from r.
The occurrence of described r can be the distance of the outer toroid at illumination grid place to the center, field of illumination, and this enforcement is approximately the distance of illumination grid to the center, field of illumination with it.Light source vertical range h is relevant with concrete design requirement, for example design of the light-distribution lens curved surface of street lamp, and described vertical range promptly is the vertical range of street lamp and road.
According to formula tan θ
Out=r/h calculates deflection angle θ
Out
Can calculate deflection angle according to this formula.
Step 104: calculate the distribution curve flux slope according to described crevice projection angle, deflection angle and the index of refraction in lens obtained, and according to each distribution curve flux slope structure light-distribution lens curved surface.
Calculate crevice projection angle and deflection angle, can calculate the distribution curve flux slope according to the law of refraction, described distribution curve flux slope is meant the slope of curve on described angle direction on the different angles direction, and establishing curve tangent line and horizontal plane angle is β, and tan β is the distribution curve flux slope.
Concrete is brings deflection angle, crevice projection angle and the index of refraction in lens into law of refraction computing formula for calculating tangent value tan β, and with described tangent value as the distribution curve flux slope, described law of refraction computing formula is:
nsin(β+θ)=sin(β+θ
out)
In this formula, n is the light-distribution lens refractive index, and according to the different lens materials of selecting and difference, for example, material is a polymethyl methacrylate, and promptly refractive index is 1.49.Can calculate tangent value tan β by above-mentioned, described tangent value promptly can be used as the distribution curve flux slope.
The light refraction that Fig. 2 shows a light source concerns schematic diagram, the figure shows the relation of crevice projection angle, deflection angle and curve tangent line angle β, calculates the slope of curve according to formula and can construct the light-distribution lens curved surface.
Because the distribution curve flux slope is to calculate according to the Different Light on the different angles, therefore, can construct whole light distribution curved surface according to the light distribution curved surface slope of the every one's share of expenses for a joint undertaking light source correspondence that calculates, detailed process is:
Set up space coordinates.
Set up space coordinates, determine an initial position as coordinate origin, described space coordinates can be rectangular coordinate system or polar coordinate system.
According to normal vector and the curved surface vertical relation and the described distribution curve flux slope of each point place distribution curve flux, calculate the coordinate figure of each point in space coordinates.
Described each point specifically is meant the refraction point on curved surface of every one's share of expenses for a joint undertaking light source, known each distribution curve flux slope, and the tangent line of distribution curve flux and normal, curve method vector and the vertical relation for the treatment of constructing curve promptly can calculate the coordinate of each refraction point.
According to the each point coordinate figure, structure is joined the mirror curved surface.
According to the coordinate of each point, programme to construct and join the mirror curved surface.
In the embodiment of the invention, light source and field of illumination are divided, be divided into default umber, and according to law of conservation of energy set up every one's share of expenses for a joint undertaking light source with the illumination grid corresponding relation, calculate the crevice projection angle and the deflection angle of every one's share of expenses for a joint undertaking light source according to corresponding relation, and calculate the distribution curve flux slope, and then can construct the curved surface of light-distribution lens, because the energy of every one's share of expenses for a joint undertaking light source equates, the area of every part of illumination grid equates, therefore can guarantee that the light distribution curved surface of finally designing according to this corresponding relation can make that light energy is evenly distributed in the field of illumination.
Referring to Fig. 3, show the flow chart of a kind of LED light-distribution lens of the present invention curved surface structure method embodiment 2, present embodiment 2 is to describe technical scheme in detail under the situation of border circular areas in the field of illumination, described method can comprise:
Step 301: the sub-light source that led light source is divided into default umber according to the energy equipartition principle.
In the present embodiment, led light source is a Lambertian source, and its light distribution function is I (θ)=A*cos
2θ, θ represent every one's share of expenses for a joint undertaking light source along its angle the make progress light of outgoing and the angle of vertical direction, also are the crevice projection angle of every one's share of expenses for a joint undertaking light source.
Concrete partition process is: according to the energy equipartition principle, promptly is radially to be divided into 60 annular light sources with led light source; Each annular light source according to the angle average principle, promptly according to the different angles direction, is divided, and each part annular light source is divided into 90, therefore can form 60*90 one's share of expenses for a joint undertaking light source.
Schematic diagram after Fig. 4 shows led light source and divides, because the restriction of figure size, the division umber among the figure is just illustrated umber, is not 60*90.Among the figure
Represent the positional information of every one's share of expenses for a joint undertaking light source,
Be the different angles of dividing, θ is that every one's share of expenses for a joint undertaking light source is along difference
Crevice projection angle on the direction.
Step 302: circular illumination is divided into and described led light source equal parts and illumination grid that area equates according to the area equipartition principle.
Described circular illumination division methods can for:
Circular illumination is divided 60 annular grids of composition according to the area equipartition principle; Each annular grid is divided according to the angle equipartition principle again, and each annular grid is divided into 90 grids, therefore can form the illumination grid that 60*90 part area equates.
Division methods can also be:
Circular illumination is divided 90 fan-shaped grids according to the angle equipartition principle, each fan-shaped grid is divided according to the angle equipartition principle again, each fan-shaped grid is divided into 60 grids again, therefore can form the illumination grid that 60*90 part area equates.
Wherein, for guaranteeing that every part of illumination grid area equates that annular grid division methods can be specially: with described circular illumination according to formula
Divide, wherein, R is the circular illumination radius, and m is number of partitions radially, and as 60, the n value is 1,2,3......m.Behind these formula division composition ring network lattice, the area of every part of annular grid promptly equates.
Schematic diagram after Fig. 5 shows circular illumination and divides, because the restriction of figure size, the division umber among the figure is just illustrated umber, is not 60*90.Among the figure
Represent the positional information of every part of illumination grid, r is the distance at illumination grid distance areas center,
Be different angles.
Step 303: the one-to-one relationship of setting up every one's share of expenses for a joint undertaking light source and every part of illumination grid according to law of conservation of energy.
Wherein, concrete corresponding which part illumination grid of every one's share of expenses for a joint undertaking light source, be the foundation of the one-to-one relationship of every one's share of expenses for a joint undertaking light source and every part of illumination grid, be concrete corresponding according to the shape of field of illumination, in the circular illumination of present embodiment, because field of illumination and light source form are circle, therefore can set up the corresponding one by one of throw light on grid and every one's share of expenses for a joint undertaking light source.
The corresponding relation formula of setting up according to described corresponding relation is:
Step 304: calculate the crevice projection angle of every one's share of expenses for a joint undertaking light source according to described corresponding relation, and, determine the deflection angle of every one's share of expenses for a joint undertaking light source according to the illumination grid position of every one's share of expenses for a joint undertaking light source correspondence.
The computational process of deflection angle θ out is specially:
Determine the vertical range h of described field of illumination and described led light source, and, every part of illumination grid range blanking regional center apart from r.
The occurrence of described r can be the distance of the outer toroid at illumination grid place to the center, field of illumination, i.e. outer toroid radius, and present embodiment is approximately the distance of grid to the center, field of illumination of throwing light on it.Light source vertical range h is relevant with concrete design requirement, for example design of the light-distribution lens curved surface of street lamp, and described vertical range promptly is the vertical range of street lamp and road.
According to formula tan θ
Out=r/h calculates deflection angle θ
Out
For example, illumination grid place circle ring area radius r=1m, vertical range h=1.732m, the θ that then calculates
Out=± 30 °.
Step 305: calculate the distribution curve flux slope according to described crevice projection angle, deflection angle and the index of refraction in lens obtained.
Concrete is to bring described crevice projection angle, deflection angle and the index of refraction in lens into law of refraction computing formula, and described law of refraction computing formula is: and nsin (β+θ)=sin (β+θ
Out)
N is the light-distribution lens refractive index, according to the different lens materials of selecting and difference, for example, material is a polymethyl methacrylate, be that refractive index is 1.49, can calculate tangent value tan β according to this formula, described tangent value is the distribution curve flux slope, described distribution curve flux slope is meant the slope of curve on described its corresponding angle direction on the different angles direction, and β is the angle of curve tangent line and curve.
Wherein, θ, θ
OutAnd the corresponding relation of β can be referring to shown in Figure 2.
Step 306: according to described distribution curve flux slope, structure light-distribution lens curved surface.
Detailed process is:
At first, set up space coordinates.
Set up space coordinates, determine an initial position as coordinate origin, described space coordinates can be rectangular coordinate system or polar coordinate system.
Secondly, according to normal vector and the curved surface vertical relation and the described distribution curve flux slope of each point place distribution curve flux, calculate the coordinate figure of each point in space coordinates.
Described each point specifically is meant the refraction point of every one's share of expenses for a joint undertaking light source, i.e. light deflection point, and known each distribution curve flux slope, the tangent line of distribution curve flux and normal, curve method vector and the vertical relation for the treatment of constructing curve promptly can calculate the coordinate of each refraction point.
Then, according to the each point coordinate figure, the structure lens curved surface.
According to the coordinate figure of each point, programming to construct lens curved surface.
In the present embodiment, light source and field of illumination are divided, be divided into default umber, and according to law of conservation of energy set up every one's share of expenses for a joint undertaking light source with the illumination grid corresponding relation, calculate the crevice projection angle and the deflection angle of every one's share of expenses for a joint undertaking light source according to corresponding relation, calculate the distribution curve flux slope according to law of refraction computing formula, and then can construct the curved surface of light-distribution lens, because the energy of every one's share of expenses for a joint undertaking light source equates, the area of every part of illumination grid equates, therefore can guarantee that the light distribution curved surface of finally designing according to this corresponding relation can make that light energy is evenly distributed in the field of illumination.
The present invention also provides a kind of LED light-distribution lens, and described light-distribution lens is a sphere near the one side of led light source, be the light-distribution lens curved surface that designs according to the method described above away from the one side of led light source.
Referring to Fig. 6, show the structural representation of LED light-distribution lens.Wherein lens outer surface 601 is the light-distribution lens curved surface of designing according to the method described above, and this curved surface is a sphere curved surface, and inner surface 602 is a sphere, and light can directly pass described sphere, and deviation does not take place.
When carrying out the assembling of LED, led light source is installed in the formed centre of sphere place of close inner surface 602, the light that light source sends can directly pass described inner surface 602, reduce reflection loss, arrive outer surface 601 places deviation takes place, make the light that shines the field of illumination distribute again, because the curved surface of described lens is constructed according to the principle of energy five equilibrium, thereby can make the luminous intensity of field of illumination evenly distribute, the device uniformity can reach 0.76 as calculated.
Each embodiment adopts the mode of going forward one by one to describe in this specification, and what each embodiment stressed all is and the difference of other embodiment that identical similar part is mutually referring to getting final product between each embodiment.For the disclosed device of embodiment, because it is corresponding with the embodiment disclosed method, so description is fairly simple, relevant part partly illustrates referring to method and gets final product.
To the above-mentioned explanation of the disclosed embodiments, make this area professional and technical personnel can realize or use the present invention.Multiple modification to these embodiment will be conspicuous concerning those skilled in the art, and defined herein General Principle can realize under the situation that does not break away from the spirit or scope of the present invention in other embodiments.Therefore, the present invention will can not be restricted to these embodiment shown in this article, but will meet and principle disclosed herein and features of novelty the wideest corresponding to scope.
Claims (11)
1. a LED light-distribution lens curved surface structure method is characterized in that, comprising:
According to the energy equipartition principle led light source is divided into the sub-light source of presetting umber, and the field of illumination of determining is divided into and described led light source equal parts and every part of illumination grid that area equates;
Set up the one-to-one relationship of every one's share of expenses for a joint undertaking light source and every part of illumination grid according to law of conservation of energy;
The described corresponding relation of foundation calculates the crevice projection angle of every one's share of expenses for a joint undertaking light source, and, determine every one's share of expenses for a joint undertaking light source deflection angle according to the illumination grid position of every one's share of expenses for a joint undertaking light source correspondence;
According to described crevice projection angle, deflection angle and the index of refraction in lens obtained, calculate the distribution curve flux slope, and according to each distribution curve flux slope structure light-distribution lens curved surface.
2. method according to claim 1, it is characterized in that, described definite field of illumination is a border circular areas, and the radius of described circular illumination is that the vertical range according to the maximum crevice projection angle of led light source and described led light source and described field of illumination calculates.
3. method according to claim 1 and 2 is characterized in that, describedly according to the energy equipartition principle sub-light source that led light source is divided into default umber is specially:
Led light source is divided into first default several annular light sources according to the energy equipartition principle;
According to the angle average principle each annular light source is divided, formed the sub-light source of default umber.
Then described crevice projection angle is specially every one's share of expenses for a joint undertaking light source along the light of the outgoing on its angle direction and the angle of vertical direction, and the distribution curve flux slope is the slope of curve of different angles direction correspondence.
4. method according to claim 3 is characterized in that, is under the situation of border circular areas in the field of illumination, describedly the field of illumination of determining is divided into the illumination grid that equates with described led light source equal parts and every part of area is specially:
Circular illumination is divided first default several ring network lattice according to the area equipartition principle;
According to the angle average principle each annular grid is divided, formed the illumination grid of default umber.
5. according to claim 1 or 4 described methods, it is characterized in that the corresponding relation formula of described every one's share of expenses for a joint undertaking light source and every part of illumination grid is:
∫I(θ)dθ=∫
Stds;
Wherein, I (θ)=A*cos
2θ is the light distribution function of described led light source, and A is a light source parameters, and θ is the crevice projection angle of every one's share of expenses for a joint undertaking light source, and s is illumination grid area, and t is the average illumination value.
6. method according to claim 5 is characterized in that, is under the situation of border circular areas in the field of illumination, and described corresponding relation formula is specially:
7. method according to claim 1, it is characterized in that, according to described crevice projection angle, deflection angle and the index of refraction in lens obtained, calculating the distribution curve flux slope is specially and brings crevice projection angle, deflection angle and the index of refraction in lens obtained into law of refraction computing formula, calculate the distribution curve flux slope, described law of refraction computing formula is:
nsin(β+θ)=sin(β+θ
out);
Wherein, θ
OutBe deflection angle, n is the light-distribution lens refractive index, and the tangent value tan β that calculates is the distribution curve flux slope.
8. method according to claim 1 is characterized in that, described illumination grid position according to every one's share of expenses for a joint undertaking light source correspondence determines that described light source deflection angle is specially:
Determine the vertical range h of described field of illumination and described led light source, and, the illumination grid of every one's share of expenses for a joint undertaking light source correspondence and center, field of illumination apart from r;
According to formula tan θ
Out=r/h calculates deflection angle θ
Out
9. method according to claim 1 is characterized in that, describedly is specially according to each distribution curve flux slope structure light-distribution lens curved surface:
Set up space coordinates;
According to normal vector and described distribution curve flux vertical relation and each distribution curve flux slope of every bit place distribution curve flux, calculate the coordinate figure of each point in space coordinates;
According to the each point coordinate figure, structure is joined the mirror curved surface.
10. method according to claim 4 is characterized in that, and is described by circular illumination is specially according to area equipartition principle division first default several ring network lattice:
11. a LED light-distribution lens is characterized in that, described light-distribution lens is a sphere near the one side of led light source, be the light-distribution lens curved surface that designs according to each described method of claim 1~10 away from the one side of led light source.
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