CN109445093A - A kind of LED free-form surface lens array apparatus for inclined surface Uniform Illumination - Google Patents
A kind of LED free-form surface lens array apparatus for inclined surface Uniform Illumination Download PDFInfo
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Abstract
The invention discloses a kind of LED free-form surface lens array apparatus for inclined surface Uniform Illumination, belong to nonimaging optics and laser beam shaping technical field.Include several free-form surface lens units (U) evenly arranged in rows and columns and LED light source unit (V);Each free-form surface lens unit (U) shape is identical, and every LED light source unit (V) is also identical, and free-form surface lens unit (U) is identical with the quantity of LED light source unit (V), and corresponds;The optical axis coincidence of every LED light source unit and corresponding free-form surface lens unit, the light that goes out of LED light source unit generates scheduled homogeneous light distribution after corresponding free-form surface lens unit deviation on oblique illumination face, and free-form surface lens unit can be realized with materials such as optical resins by injection molding technology.Structure of the invention is compact, simple;Shaping effect is good, and capacity usage ratio is high;It is practical, have a wide range of application.
Description
Technical Field
The invention relates to the technical field of non-imaging optics and illumination, in particular to an LED free-form surface lens array device for uniform illumination of an inclined plane.
Background
Different from the traditional coaxial lighting, the inclined lighting removes the coaxial limitation, greatly improves the flexibility of illumination, and has wide application in practice, such as urban road lighting, tunnel lighting, urban landscape brightening and the like. In order to increase the illumination intensity, the actual oblique illumination system is generally formed by arraying a group of beam shaping lens units. Since each beam-shaping lens unit is identical, the key to designing a tilted illumination system is to design a single beam-shaping lens unit. The beam shaping lens unit redistributes the light emitted from the light source by means of a certain optical curved surface. Compared with the traditional optical curved surface, the free-form surface has extremely high design freedom, and the capability and the flexibility of controlling light can be greatly improved. The free-form surface is adopted for light beam regulation, an optical system with compact structure and excellent performance can be obtained, and more importantly, a novel inclined lighting system which cannot be realized by the traditional optical curved surface can be realized. The free-form surface structure with extremely free and flexible free-form surfaces brings opportunities and great design challenges, and the key point and difficulty of free-form surface illumination is to solve the free-form surface shape inversely according to light manipulation requirements (given incident light distribution and emergent light distribution).
In the existing free-form surface beam shaping method, the raymaping method proposed by chinese patent 200910046129.5 defines the mapping relationship between incident light and emergent light in advance according to the conservation of energy, and then obtains the surface form of the curved surface by numerical solution. In the Ray mapping method, the integrability of the mapping relation determines the continuity of the curved surface, and because a mapping relation meeting the integrability condition is difficult to obtain in the free-form surface beam shaping, the free-form surface is discontinuous or a large difference exists between the actual light distribution and the target light distribution. The MA (single-Amp frere, MA) method proposed by chinese patent 201210408729.3 converts a single free-form surface shaping problem into an MA equation according to the law of conservation of energy and refraction, and obtains a numerical solution to the beam shaping problem by numerically solving the MA equation. Compared with the Ray mapping method, the MA method can obtain a continuous free-form surface, and the actual light distribution and the target light distribution are well matched. The Supporting quadratic method discretizes a continuous light distribution and uses many quadric surface patches (such as paraboloids, ellipsoids, etc.) to construct a free-form surface shape, thereby solving an approximate solution of the beam shaping problem. The above method has been widely studied in coaxial free-form surface beam shaping, but the problem of non-coaxial oblique illumination is not well solved. The coaxially designed lighting system is used for inclined plane lighting, so that the actual light distribution on the inclined plane deviates from the preset light distribution obviously and the actual inclined lighting requirement cannot be met; the energy cannot be effectively distributed, and energy waste is caused.
Disclosure of Invention
The invention aims to overcome the defects of the prior art and provides a free-form surface lens array device for uniformly illuminating an inclined plane.
The LED free-form surface lens array device for the inclined plane uniform illumination comprises a plurality of free-form surface lens units (U) and LED light source units (V), wherein the free-form surface lens units (U) and the LED light source units (V) are uniformly distributed in rows and columns; each free-form surface lens unit (U) is the same in shape, each LED light source unit (V) is the same, and the free-form surface lens units (U) and the LED light source units (V) are the same in number and are in one-to-one correspondence; the optical axis of each LED light source unit is superposed with the optical axis of the corresponding free-form surface lens unit, and the emergent light of the LED light source unit is deflected by the corresponding free-form surface lens unit to generate preset uniform light distribution on the inclined lighting surface; the specific design steps of the free-form surface lens unit are as follows:
(1) setting a light path structure of the free-form surface lens, wherein a light source enters the free-form surface lens through an incident surface of the free-form surface lens; emitting the light from the emergent surface of the free-form surface lens, and generating a predetermined uniform light distribution on the inclined illumination surface; the emergent surface is a free-form surface; carrying out free-form surface design on the free-form surface lens according to the initial design parameters;
(2) establishing a global rectangular coordinate system xyz by taking the light source S as the origin of coordinates, and expressing the position of the point P on the free-form surface of the free-form surface lens determined in the step (1) by using a spherical coordinate asAt the intersection B of the oblique illumination plane and the z-axis3For the origin of coordinates, a local coordinate system x is established on the inclined illumination surface1y1z1And the x-axis of the global coordinate system xyz and the local coordinate system x are set1y1z1X of1The axial directions are the same; local coordinate system x1y1z1Z of (a)1The included angle between the axis and the z-axis of the global coordinate system xyz is β ≠ 0 DEG, when the z-axis of the global coordinate system xyz is converted into the local coordinate system x1y1z1Z of (a)1β when the shaft is rotating in a counterclockwise direction<0; when going from the z-axis of the global coordinate system xyz to the local coordinate system x1y1z1Z of (a)1β when the shaft is rotating in the clockwise direction>0; the coordinate of the falling point T of the emergent ray on the inclined illumination surface in the global coordinate system xyz is expressed as (T)x,ty,tz) In a local coordinate system x1y1z1The coordinates of the lower part are represented by (t)x1,ty1,tz1) (ii) a The vector P is a position vector of the point P and is a vector pointing to the point P from the origin of the global rectangular coordinate system; the vector T is a position vector of the point T and is a vector pointing to the point T from an origin of the global rectangular coordinate system; according to the law of refraction O-nxI + P1X N, and obtaining the unit direction vector O ═ O (O) of the emergent rayx,Oy,Oz) And establishing a coordinate relationship between the point P and the target point T
Wherein, Px、PyAnd PzThree components of a point P position vector P; o isx、OyAnd OzThree components of the unit direction vector O of the emergent ray at the point P; n is the unit normal vector of the free form surface at point P,the angle α being vector I and vector NAn included angle; n is the refractive index of the material used for the free-form surface lens;
(3) and (3) according to the coordinate relation between the point P and the target point T obtained in the step (2), the equation of the inclined illumination surface in the global coordinate system is also required to be satisfied:
Atx+Ctz+D=0
where a is sin β, C is cos β, and D is cxl, and L is a z-axis intersection B of the oblique illumination plane and the global coordinate system xyz3Z-coordinate of (a); further obtaining the global coordinate of the target point T according to the equation
(4) According to the coordinate relationship between the point P and the target point T obtained in the step (2), the following coordinate transformation relationship exists
Wherein J (T) is a Jacobi matrix of the position vector T,
(5) according to the local energy conservation law, under the condition of not considering energy loss, any beamlet emitted by a light source is required to transmit all energy of the beamlet to a target illumination area on an inclined illumination surface after being deflected by a free-form surface lens, namely the deflection of the beamlet by the free-form surface lens meets the following energy relation expression
Wherein,as the intensity distribution of the light source, E (t)x1,ty1) J (T) is a Jacobi matrix of position vectors T,0≤θ≤2π,whereinIs the maximum divergence angle of the light beam incident to the free-form surface lens;
(6) the free-form surface meets the energy transmission equation in the step (5), and simultaneously ensures that the boundary light of the light beam is deflected by the free-form surface and then enters the boundary of the illumination area of the target surface, namely the following boundary conditions are met
Wherein omega1Representing the total solid angle, omega, of the beam incident on the free-form lens2Representing the illuminated area of the object on the inclined illumination plane,andare respectively region omega1And Ω2The boundary of (2);
(7) and (4) solving the energy transmission equation in the step (5) and the boundary condition in the step (6) simultaneously to obtain a group of discrete data points, and performing surface fitting on the group of data points to obtain the free-form surface type of the free-form surface lens for the inclined surface illumination.
Preferably, the incident surface (S1) of the free-form surface lens is a spherical surface, and each LED light source unit is located at the center of the incident surface sphere of the free-form surface lens corresponding to the LED light source unit.
Preferably, the refractive index of each region of the free-form surface lens is the same; the surrounding medium of the free-form surface lens is air.
Preferably, the free-form lens is a shaping lens after the light source, i.e. a secondary lens.
Compared with the prior art, the invention has the beneficial effects that:
1) the free-form surface lens array device for the inclined plane uniform illumination can realize the preset uniform light distribution on the inclined illumination surface;
2) the free-form surface lens array device for the uniform illumination of the inclined plane can realize the effective regulation and control of the LED emergent light beam and obtain higher energy utilization rate;
3) the free-form surface lens array device for the inclined plane uniform illumination can promote the application of the free-form surface in semiconductor illumination;
4) the free-form surface lens array device for inclined plane uniform illumination is beneficial to forming a high-efficiency and energy-saving semiconductor illumination technology.
Drawings
FIG. 1 is a schematic structural diagram of a free-form lens array apparatus for tilted plane uniform illumination;
FIG. 2 is a schematic diagram of a design of a free-form surface lens unit;
FIG. 3 is an optical configuration of a free-form surface lens unit;
FIG. 4 is a free-form lens unit as an LED beam shaping secondary lens;
fig. 5 is a model of a free-form surface lens unit in the embodiment;
FIG. 6 is an illumination spot of the free-form surface lens unit on an inclined illumination plane in the embodiment;
FIG. 7 is a model of a free-form lens array device according to an embodiment;
fig. 8 shows the illumination spots of the free-form surface lens array device on the inclined illumination surface in the embodiment.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention will be further described with reference to the accompanying drawings.
The LED free-form surface lens array device for the inclined plane uniform illumination comprises an LED free-form surface lens array formed by free-form surface lens units U which are uniformly distributed in rows and columns, and is shown in the attached drawing 1; the free-form surface lens units are the same in shape, the LED light source units (V) are the same in shape, and the free-form surface lens units (U) and the LED light source units (V) are the same in number and are in one-to-one correspondence; the light emitted by the LED light source is deflected by the corresponding free-form surface lens unit to generate preset uniform light distribution on the inclined lighting surface; the specific design steps of the free-form surface lens unit are as follows:
(1) the method comprises the steps that a light path structure of a free-form surface lens is arranged, an incident surface of the free-form surface lens is a spherical surface, an emergent surface of the free-form surface lens is a free-form surface, and a light source is located at the center of the sphere of the incident surface; the light source is refracted by the free-form surface lens and then the target illumination distribution is obtained on the inclined illumination surface; carrying out free-form surface design on the initial design parameters according to the initial design parameters;
(2) establishing a global rectangular coordinate system xyz by taking the light source S as the origin of coordinates, and expressing the position of the point P on the free-form surface of the free-form surface lens determined in the step (1) by using a spherical coordinate asAt the intersection B of the oblique illumination plane and the z-axis3Is the origin of coordinates atEstablishing a local coordinate system x on an inclined illumination surface1y1z1And the x-axis of the global coordinate system xyz and the local coordinate system x are set1y1z1X of1The axial directions are the same; local coordinate system x1y1z1Z of (a)1The axis is at an angle β with respect to the z-axis of the global coordinate system xyz when going from the z-axis of the global coordinate system xyz to the local coordinate system x1y1z1Z of (a)1β when the shaft is rotating in a counterclockwise direction<0; when going from the z-axis of the global coordinate system xyz to the local coordinate system x1y1z1Z of (a)1β when the shaft is rotating in the clockwise direction>0. The coordinate of the falling point T of the emergent ray on the inclined illumination surface in the global coordinate system xyz is expressed as (T)x,ty,tz) In a local coordinate system x1y1z1The coordinates of the lower part are represented by (t)x1,ty1,tz1). The vector P is a position vector of the point P and is a vector pointing to the point P from the origin of the global coordinate system; the vector T is a position vector of the point T and is a vector pointing to the point T from the origin of the global coordinate system; referring to fig. 2, according to the law of refraction O ═ nxi + P1X N, and obtaining the unit direction vector O ═ O (O) of the emergent rayx,Oy,Oz) And establishing a coordinate relationship between the point P and the target point T
Wherein, Px、PyAnd PzThree components of a point P position vector P; o isx、OyAnd OzThree components of the unit direction vector O of the emergent ray at the point P; n is a unit normal form of the free-form surface at the point P,the angle α is the included angle between the vector I and the vector N, N is the refractive index of the material used by the free-form surface lens, and the medium around the free-form surface lens is air;
(3) the coordinate relation between the point P and the target point T obtained in the step (2) also needs to satisfy the equation of the inclined illumination surface under the global coordinate system, and the following relation exists
Atx+Ctz+D=0
Where a is sin β, C is cos β, and D is cxl, and L is a z-axis intersection B of the oblique illumination plane and the global coordinate system xyz3Z-coordinate of (a); further obtaining the global coordinate of the target point T according to the relation
(4) Obtaining the global coordinate (t) of the point P according to the step (3)x,ty,tz) And obtaining the local coordinate (t) of the point P from the transformation relation between the global coordinate and the local coordinate of the point Px1,ty1,tz1) Has the following relational expression
(5) According to the local energy conservation law, under the condition of not considering energy loss, any beamlet emitted by a light source is required to transmit all energy of the beamlet to a target illumination area on an inclined illumination surface after being deflected by a free-form surface lens, namely the deflection of the beamlet by the free-form surface lens meets the following energy relation expression
Wherein,as the intensity distribution of the light source, E (t)x1,ty1) J (T) is a Jacobi matrix of position vectors T,0≤θ≤2π,whereinIs the maximum divergence angle of the light beam incident to the free-form-surface lens unit;
(6) the free-form surface meets the energy transmission equation in the step (5), and simultaneously ensures that the boundary light of the light beam is deflected by the free-form surface and then enters the boundary of the illumination area of the target surface, namely the following boundary conditions are met
Wherein omega1Representing the total solid angle, omega, of the beam incident on the free-form lens2Representing the illuminated area of the object on the inclined illumination plane,andare respectively region omega1And Ω2The boundary of (2);
(7) and (4) solving the energy transmission equation in the step (5) and the boundary condition in the step (6) simultaneously to obtain a group of discrete data points, and performing surface fitting on the group of discrete data points to obtain the free-form surface unit.
The incident surface S1 of the free-form surface lens unit is a spherical surface, and the exit surface S2 is a free-form surface, see fig. 3. The free-form surface lens unit is a shaping lens behind the LED light source, i.e. an LED secondary lens, see fig. 4.
Example (b): the free-form surface lens unit is designed to adopt the structure type as shown in FIG. 3, the incident surface S1 adopts a spherical surface, the emergent surface S2 is a free-form surface, the LED light source is positioned at the spherical center of the incident surface S1, and the intensity distribution of the LED light source is assumed to satisfyThe emergent light beam of the light source is required to generate a uniform rectangular illumination light spot in the target illumination area of the inclined illumination surface after being deflected by the free-form surface lens. The vertex of the incident surface spherical surface S1 has a z-coordinate of 12mm, the vertex of the exit surface free-form curved surface S2 has a z-coordinate of 25mm, and the intersection B of the oblique illumination surface and the z-axis of the global coordinate system xyz3The z coordinate of the lens is 3000mm, the inclination angle β of the inclined illumination surface is 34 degrees, the length of the rectangular illumination spot is 4000mm, the width of the rectangular illumination spot is 5000mm, the refractive index n of the free-form surface lens is 1.4935, the medium around the lens is air, and the maximum emergent angle of the light source incident on the free-form surface lens is 1.4935
According to the law of refraction O-nxI + P1X N, and obtaining the unit direction vector O ═ O (O) of the emergent rayx,Oy,Oz) And establishing a coordinate relationship between the point P and the target point T
Wherein, Px、PyAnd PzThree components of a point P position vector P; o isx、OyAnd OzThree components of the unit direction vector O of the emergent ray at the point P; n is a unit normal form of the free-form surface at the point P,angle α is the angle between vector I and vector N the coordinate relationship between point P and target point T also satisfies the requirement that the tilted illumination surface be in a global coordinate systemThe following equation has the following relationship
Atx+Ctz+D=0
Where a is sin β, C is cos β, and D is cxl, and L is a z-axis intersection B of the oblique illumination plane and the global coordinate system xyz3Z-coordinate of (a); further obtaining the global coordinate of the target point T according to the relation
From the global coordinates (t) of the point Px,ty,tz) And obtaining the local coordinate (t) of the point P from the transformation relation between the global coordinate and the local coordinate of the point Px1,ty1,tz1) Has the following relational expression
According to the local energy conservation law, under the condition of not considering energy loss, any beamlet emitted by a light source is required to transmit all energy of the beamlet to a target illumination area on an inclined illumination surface after being deflected by a free-form surface lens, namely the deflection of the beamlet by the free-form surface lens meets the following energy relation expression
Wherein,as the intensity distribution of the light source, E (t)x1,ty1) J (T) is a Jacobi matrix of position vectors T,0≤θ≤2π,whereinIs the maximum divergence angle of the light beam incident to the free-form lens. Further simplifying the energy transmission equation to obtain the following elliptical equation of monkey-Amp re
Where ρ isθθ、Andrespectively ρ about the angles θ andsecond order partial derivatives and mixed partial derivatives, coefficientsIn order to ensure the shape of the target illumination area on the inclined illumination surface, certain boundary conditions are applied
WhereinAndare respectively regionsAndthe boundary of (2).
For such a highly nonlinear partial differential equation, only a numerical solution can be found. Firstly, the area omega where the light beam incident on the free-form surface lens is positioned is required to be1Discretizing to obtain a group of discrete grid points, and corresponding a partial differential equation to each grid node; then, the difference is adopted to replace a first order partial derivative and a second order partial derivative in the partial differential equation, so that the energy transmission equation and the boundary condition can be converted into a nonlinear equation set; and finally, solving the nonlinear equation set by adopting a Newton method to obtain a group of discrete data points. And performing surface fitting on the group of discrete data points in CAD software to obtain a free-form surface, so that a free-form surface lens model can be constructed, and the free-form surface lens model is shown in an attached figure 5. For the free-form surface lens model tracing light, an illuminance distribution diagram is obtained on an inclined target illumination surface, which is shown in an attached figure 6. Then, the free-form-surface lens units are arranged into a 3 × 3 free-form-surface lens array along the x-axis and the y-axis of the global coordinate system xyz, and the array pitch of the free-form-surface lens units in the x-axis and the y-axis directions is 50mm, as shown in fig. 7. For the free-form surface lens array model tracing light, an illumination distribution diagram is obtained on an inclined target illumination surface, and the diagram is shown in figure 8. The illuminance distribution diagram clearly shows that the free-form surface lens array for inclined plane uniform illumination proposed by the present invention effectively achieves the predetermined target illumination.
The embodiment shows that the free-form surface lens array for the inclined plane uniform illumination can realize the preset light distribution on the inclined illumination surface, can obtain the continuous free-form surface, realizes the processing of the free-form surface, and has obvious practical significance.
Claims (4)
1. An LED free-form surface lens array device for inclined plane uniform illumination is characterized by comprising a plurality of free-form surface lens units (U) and LED light source units (V), wherein the free-form surface lens units (U) and the LED light source units (V) are uniformly distributed in rows and columns; each free-form surface lens unit (U) is the same in shape, each LED light source unit (V) is the same, and the free-form surface lens units (U) and the LED light source units (V) are the same in number and are in one-to-one correspondence; the optical axis of each LED light source unit is superposed with the optical axis of the corresponding free-form surface lens unit, and the emergent light of the LED light source unit is deflected by the corresponding free-form surface lens unit to generate preset uniform light distribution on the inclined lighting surface; the specific design steps of the free-form surface lens unit are as follows:
(1) setting a light path structure of the free-form surface lens, wherein a light source enters the free-form surface lens through an incident surface of the free-form surface lens; emitting the light from the emergent surface of the free-form surface lens, and generating a predetermined uniform light distribution on the inclined illumination surface; the emergent surface is a free-form surface; carrying out free-form surface design on the free-form surface lens according to the initial design parameters;
(2) establishing a global rectangular coordinate system xyz by taking the light source S as the origin of coordinates, and expressing the position of the point P on the free-form surface of the free-form surface lens determined in the step (1) by using a spherical coordinate asAt the intersection B of the oblique illumination plane and the z-axis3For the origin of coordinates, a local coordinate system x is established on the inclined illumination surface1y1z1And the x-axis of the global coordinate system xyz and the local coordinate system x are set1y1z1X of1The axial directions are the same; local coordinate system x1y1z1Z of (a)1The included angle between the axis and the z-axis of the global coordinate system xyz is β ≠ 0 DEG, when the z-axis of the global coordinate system xyz is converted into the local coordinate system x1y1z1Z of (a)1β when the shaft is rotating in a counterclockwise direction<0; when going from the z-axis of the global coordinate system xyz to the local coordinate system x1y1z1Z of (a)1β when the shaft is rotating in the clockwise direction>0; the coordinate of the falling point T of the emergent ray on the inclined illumination surface in the global coordinate system xyz is expressed as (T)x,ty,tz) In a local coordinate system x1y1z1The coordinates of the lower part are represented by (t)x1,ty1,tz1) (ii) a The vector P is a position vector of the point P and is a vector pointing to the point P from the origin of the global rectangular coordinate system; the vector T is a position vector of the point T and is a vector pointing to the point T from an origin of the global rectangular coordinate system; according to the law of refraction O-nxI + P1X N, and obtaining the unit direction vector O ═ O (O) of the emergent rayx,Oy,Oz) And establish points P andcoordinate relationship between target points T
Wherein, Px、PyAnd PzThree components of a point P position vector P; o isx、OyAnd OzThree components of the unit direction vector O of the emergent ray at the point P; n is the unit normal vector of the free form surface at point P,the angle α is the angle between vector I and vector N, N is the refractive index of the material used for the free-form surface lens;
(3) and (3) according to the coordinate relation between the point P and the target point T obtained in the step (2), the equation of the inclined illumination surface in the global coordinate system is also required to be satisfied:
Atx+Ctz+D=0
where a is sin β, C is cos β, and D is cxl, and L is a z-axis intersection B of the oblique illumination plane and the global coordinate system xyz3Z-coordinate of (a); further obtaining the global coordinate of the target point T according to the equation
(4) According to the coordinate relationship between the point P and the target point T obtained in the step (2), the following coordinate transformation relationship exists
Wherein J (T) is a Jacobi matrix of the position vector T,
(5) according to the local energy conservation law, under the condition of not considering energy loss, any beamlet emitted by a light source is required to transmit all energy of the beamlet to a target illumination area on an inclined illumination surface after being deflected by a free-form surface lens, namely the deflection of the beamlet by the free-form surface lens meets the following energy relation expression
Wherein,as the intensity distribution of the light source, E (t)x1,ty1) J (T) is a Jacobi matrix of position vectors T,0≤θ≤2π,whereinIs the maximum divergence angle of the light beam incident to the free-form surface lens;
(6) the free-form surface meets the energy transmission equation in the step (5), and simultaneously ensures that the boundary light of the light beam is deflected by the free-form surface and then enters the boundary of the illumination area of the target surface, namely the following boundary conditions are met
Wherein omega1Representing the total solid angle, omega, of the beam incident on the free-form lens2Representing the illuminated area of the object on the inclined illumination plane,andare respectively region omega1And Ω2The boundary of (2);
(7) and (4) solving the energy transmission equation in the step (5) and the boundary condition in the step (6) simultaneously to obtain a group of discrete data points, and performing surface fitting on the group of data points to obtain the free-form surface type of the free-form surface lens for the inclined surface illumination.
2. The LED free-form surface lens array device for tilted surface uniform illumination as claimed in claim 1, wherein the incident surface (S1) of the free-form surface lens is a spherical surface, and each LED light source unit is located at the spherical center of the incident surface of its corresponding free-form surface lens.
3. The LED free-form surface lens array device for the inclined plane uniform illumination as claimed in claim 1, wherein the refractive index of each region of the free-form surface lens is the same; the surrounding medium of the free-form surface lens is air.
4. The LED free-form surface lens array device for the inclined plane uniform illumination as claimed in claim 1, wherein the free-form surface lens is a shaping lens behind a light source, namely a secondary lens.
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CN110095865A (en) * | 2019-06-10 | 2019-08-06 | 汕头大学 | A kind of uniform irradiation design method of LED structure light source |
CN111443483A (en) * | 2020-04-24 | 2020-07-24 | 中国科学院云南天文台 | Design method of beam shaping structure based on free-form surface lens |
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CN111828850A (en) * | 2020-07-15 | 2020-10-27 | 浙江大学 | Large-area uniform illumination system based on aspheric lens surface shape numerical reconstruction |
CN114355608A (en) * | 2022-01-27 | 2022-04-15 | 浙江大学 | Free-form surface lens design method for realizing accurate regulation and control of three-dimensional space arbitrary light distribution |
CN114895390A (en) * | 2022-07-14 | 2022-08-12 | 中节能晶和科技有限公司 | Differential surface element free-form surface lens and manufacturing method thereof |
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CN110095865A (en) * | 2019-06-10 | 2019-08-06 | 汕头大学 | A kind of uniform irradiation design method of LED structure light source |
CN111443483A (en) * | 2020-04-24 | 2020-07-24 | 中国科学院云南天文台 | Design method of beam shaping structure based on free-form surface lens |
CN111522144A (en) * | 2020-05-15 | 2020-08-11 | 珠海迈时光电科技有限公司 | Laser beam splitter |
CN111828850A (en) * | 2020-07-15 | 2020-10-27 | 浙江大学 | Large-area uniform illumination system based on aspheric lens surface shape numerical reconstruction |
CN111828850B (en) * | 2020-07-15 | 2022-04-08 | 浙江大学 | Large-area uniform illumination system based on aspheric lens surface shape numerical reconstruction |
CN114355608A (en) * | 2022-01-27 | 2022-04-15 | 浙江大学 | Free-form surface lens design method for realizing accurate regulation and control of three-dimensional space arbitrary light distribution |
CN114895390A (en) * | 2022-07-14 | 2022-08-12 | 中节能晶和科技有限公司 | Differential surface element free-form surface lens and manufacturing method thereof |
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