CN116293525A - Method and device for realizing uniform irradiance distribution of LED - Google Patents
Method and device for realizing uniform irradiance distribution of LED Download PDFInfo
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- CN116293525A CN116293525A CN202211739709.4A CN202211739709A CN116293525A CN 116293525 A CN116293525 A CN 116293525A CN 202211739709 A CN202211739709 A CN 202211739709A CN 116293525 A CN116293525 A CN 116293525A
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- 238000000034 method Methods 0.000 title claims abstract description 34
- 230000004907 flux Effects 0.000 claims abstract description 29
- 238000005070 sampling Methods 0.000 claims description 35
- 239000000758 substrate Substances 0.000 claims description 6
- 238000013461 design Methods 0.000 description 9
- 238000010586 diagram Methods 0.000 description 9
- 239000004973 liquid crystal related substance Substances 0.000 description 5
- 230000008569 process Effects 0.000 description 5
- 239000007787 solid Substances 0.000 description 5
- 239000013598 vector Substances 0.000 description 5
- 238000005286 illumination Methods 0.000 description 4
- 238000011166 aliquoting Methods 0.000 description 2
- 238000004364 calculation method Methods 0.000 description 2
- 238000000265 homogenisation Methods 0.000 description 2
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- 239000004417 polycarbonate Substances 0.000 description 2
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- 229920000515 polycarbonate Polymers 0.000 description 1
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- 229910002027 silica gel Inorganic materials 0.000 description 1
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F21—LIGHTING
- F21V—FUNCTIONAL FEATURES OR DETAILS OF LIGHTING DEVICES OR SYSTEMS THEREOF; STRUCTURAL COMBINATIONS OF LIGHTING DEVICES WITH OTHER ARTICLES, NOT OTHERWISE PROVIDED FOR
- F21V5/00—Refractors for light sources
- F21V5/04—Refractors for light sources of lens shape
- F21V5/046—Refractors for light sources of lens shape the lens having a rotationally symmetrical shape about an axis for transmitting light in a direction mainly perpendicular to this axis, e.g. ring or annular lens with light source disposed inside the ring
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F21—LIGHTING
- F21V—FUNCTIONAL FEATURES OR DETAILS OF LIGHTING DEVICES OR SYSTEMS THEREOF; STRUCTURAL COMBINATIONS OF LIGHTING DEVICES WITH OTHER ARTICLES, NOT OTHERWISE PROVIDED FOR
- F21V5/00—Refractors for light sources
- F21V5/04—Refractors for light sources of lens shape
- F21V5/048—Refractors for light sources of lens shape the lens being a simple lens adapted to cooperate with a point-like source for emitting mainly in one direction and having an axis coincident with the main light transmission direction, e.g. convergent or divergent lenses, plano-concave or plano-convex lenses
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F21—LIGHTING
- F21Y—INDEXING SCHEME ASSOCIATED WITH SUBCLASSES F21K, F21L, F21S and F21V, RELATING TO THE FORM OR THE KIND OF THE LIGHT SOURCES OR OF THE COLOUR OF THE LIGHT EMITTED
- F21Y2115/00—Light-generating elements of semiconductor light sources
- F21Y2115/10—Light-emitting diodes [LED]
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Abstract
The invention discloses a method for realizing uniform irradiance distribution of an LED, which comprises the following steps: a free-form surface lens is covered outside the LED light source, and the LED light source is fixed at the center of the free-form surface lens; the inner surface of the free-form surface lens is a spherical surface; when the LED light source emits light, the free-form surface lens controls a plurality of energy units with equal luminous flux in the light energy space of the LED light source to be incident into the subareas of the target surface corresponding to the energy units, and the subareas corresponding to different energy units have the same area. By utilizing the scheme of the invention, the uniformity of LED irradiance distribution can be improved.
Description
Technical Field
The invention relates to the technical field of light sources, in particular to a method and a device for realizing uniform irradiance distribution of LEDs.
Background
The LED (light emitting diode ) is a widely used optoelectronic device, such as a backlight for a mobile phone keyboard, an indicator light, a display screen, and the like. Backlight is a form of illumination that is commonly used to increase illuminance in low light environments and brightness on a display screen. The LED has the characteristics of low power consumption, low heat productivity, high brightness, long service life and the like, and some products adopt an LED array as a backlight source of a liquid crystal display screen. Because of the low light intensity of LEDs, LED arrays are often used in large-sized backlights to increase the effective area and luminous flux of the light source. While LED backlights have their own advantages, there are still many areas that need to be improved, especially because of the point light source nature of LEDs, and brightness uniformity control is more important for LEDs that are used in backlights.
Disclosure of Invention
The invention provides a method and a device for realizing uniform irradiance distribution of an LED (light-emitting diode) so as to improve the uniformity of the irradiance distribution of the LED.
Therefore, the invention provides the following technical scheme:
a method of achieving uniform irradiance distribution of an LED, the method comprising:
a free-form surface lens is covered outside the LED light source, and the LED light source is fixed at the center of the free-form surface lens; the inner surface of the free-form surface lens is a spherical surface;
when the LED light source emits light, the free-form surface lens controls a plurality of energy units with equal luminous flux in the light energy space of the LED light source to be incident into the subareas of the target surface corresponding to the energy units, and the subareas corresponding to different energy units have the same area.
Optionally, the method further comprises: the free-form lens is constructed as follows:
dividing the LED light source according to equal luminous flux to obtain a plurality of energy units;
dividing a target surface according to equal areas to obtain subareas which are in one-to-one correspondence with the energy units;
and constructing the free-form surface lens according to the energy units and the corresponding subareas.
Optionally, the dividing the LED light source according to the equal luminous flux to obtain a plurality of energy units includes:
dividing the light energy space distribution of the LED light source into a plurality of circular ring energy units with equal luminous flux;
the subregions that correspond one-to-one with the energy unit are annular regions.
Optionally, the constructing the free-form surface lens according to the energy unit and the corresponding sub-region includes:
determining a lens busbar according to the energy unit and the corresponding subarea;
and rotating the lens generatrix around the symmetry axis for one circle to obtain the free-form surface lens.
Optionally, the determining a lens busbar according to the energy unit and the corresponding sub-region includes:
determining all sampling points on a lens bus according to the energy units and the corresponding sub-areas;
and sequentially connecting all the sampling points to obtain a lens busbar.
Optionally, the determining all sampling points on the lens bus according to the energy units and the corresponding sub-regions includes:
constructing an iterative relationship between two adjacent sampling points on a free-form surface lens busbar according to the energy unit and the corresponding subarea;
and determining all sampling points on the lens bus according to the iterative relationship.
Optionally, constructing the iterative relationship between two adjacent sampling points on the free-form surface lens busbar according to the energy unit and the corresponding sub-region includes:
the two adjacent sampling points P are calculated according to the following formula i+1 (x i+1 ,y i+1 ) And P i (x i ,y i ) Coordinate iteration relation between:
wherein,,θ i is light OP i Angle of emergence, theta i+1 Is light OP i+1 Light ray OP i For the light source O (0, 0) to the sampling point P i (x i ,y i ) Incident light ray OP of (2) i+1 For the light source center point O to the sampling point P i+1 (x i+1 ,y i+1 ) Is a light source, and is a light source.
Optionally, the constructing the free-form surface lens further comprises: and determining the radius of the inner surface according to the center thickness of the free-form surface lens.
An apparatus for achieving uniform irradiance distribution of an LED, the apparatus comprising: the LED light source is covered outside the LED light source and is provided with a free-form surface lens, and the LED light source is fixed at the center of the free-form surface lens; the inner surface of the free-form surface lens is a spherical surface;
the free-form surface lens is used for controlling the incidence of a plurality of energy units of equal luminous flux in the light energy space of the LED light source into the subareas of the target surface corresponding to the energy units, and the subareas corresponding to different energy units have the same area.
Optionally, the apparatus further comprises: and the substrate is used for mounting the LED light source, and the free-form surface lens is adhered to the substrate.
According to the method for realizing uniform irradiance distribution of the LED, provided by the embodiment of the invention, the free-form surface lens is covered outside the LED light source, and the LED light source is fixed at the center of the free-form surface lens; the inner surface of the free-form surface lens is a spherical surface; when the LED light source emits light, the free-form surface lens controls a plurality of energy units with equal luminous flux in the light energy space of the LED light source to be incident into the subareas of the target surface corresponding to the energy units, and the subareas corresponding to different energy units have the same area.
Drawings
FIG. 1 is a flow chart of a method of the present invention for achieving uniform irradiance distribution of LEDs;
FIG. 2 is a schematic diagram of a lens design principle for achieving uniform irradiance distribution of LEDs on a target surface in an embodiment of the invention;
FIG. 3 is a flow chart of a lens design method according to an embodiment of the present invention;
FIG. 4 is a schematic diagram of dividing the aliquoting luminous flux and the target surface and their corresponding relationship in the embodiment of the invention;
FIG. 5 is a schematic diagram of free-form surface modulated light distribution homogenization in an embodiment of the invention;
FIG. 6 is a schematic diagram of calculation of sampling points on a lens bus according to an embodiment of the present invention;
FIG. 7 is a schematic view of a lens busbar in an embodiment of the invention;
FIG. 8 is a schematic view of a free-form lens rotated based on the generatrix of the lens of FIG. 7 in accordance with an embodiment of the present invention;
FIG. 9 is an irradiance distribution plot of an LED directly impinging on a target surface;
FIG. 10 is an irradiance distribution plot after homogenization through a free-form lens;
fig. 11 is a schematic diagram of an LED array with free-form lenses in an embodiment of the invention.
Detailed Description
In order to make the solution of the embodiment of the present invention better understood by those skilled in the art, the embodiment of the present invention is further described in detail below with reference to the accompanying drawings and embodiments.
Illuminance uniformity refers to the ratio of the minimum illuminance to the average illuminance on a given surface, equal to the minimum illuminance value/average illuminance value. The more uniform the light distribution, the better the illuminance, the more comfortable the visual perception, and the closer the illuminance uniformity is to 1, the better; whereas the smaller the increase in visual fatigue.
The luminous flux emitted by a light source in a given direction per solid angle is defined as the luminous intensity of the light source in that direction (also simply referred to as the light intensity), and in most cases, an LED can be considered a lambertian light source whose luminous intensity distribution is expressed as follows:
I(θ)=I 0 cos m θ;
wherein I (θ) represents a luminous intensity distribution, I 0 The light intensity in a certain direction of the light source is represented, and theta is the included angle between the source direction and the normal line of the irradiation surface.
The luminous intensity of the LED and the emission angle form a cosine relation, and the vertical emission light intensity is maximum. The irradiation intensity distribution of the target surface is not uniform when the LED directly illuminates the target surface.
In order to improve uniformity of irradiation intensity distribution on a target surface, the embodiment of the invention provides a method and a device for realizing uniform irradiance distribution of an LED. In particular, the secondary optical design employs a free-form lens. The inner surface of the free-form surface lens is designed to be a spherical surface, and the LED is arranged at the center of the inner surface of the free-form surface lens. The light emitted by the LED light source is unchanged after passing through the inner surface of the free-form surface lens, and only the design of the outer surface of the free-form surface lens is considered in design.
As shown in fig. 1, a flowchart of a method for achieving uniform irradiance distribution of LEDs according to the invention includes the steps of:
The lens design principle for realizing uniform distribution of irradiance of the LED on the target surface is shown in fig. 2, the LED light source is divided according to equal luminous flux, the target surface is divided according to equal area, and each luminous flux is controlled to be incident on the corresponding area, so that uniform irradiance distribution can be generated on the target surface.
As shown in fig. 2, P, Q are points on the lens surface and the target plane, and the spatial coordinates thereof are (x, y, z), wherein the coordinates of the P point can also be converted into the coordinates of the spherical surface of the lens, and the coordinates of the light rays emitted from the light source to the lens surface on the spherical surface of the lens can be expressed as S (r, θ, Φ).
Since the LEDs can be regarded as point light sources, the luminous intensity distribution of the LEDs is rotationally symmetric, and the irradiance distribution on the target surface is also rotationally symmetric, the structure of the free-form surface lens is also designed to be rotationally symmetric. Therefore, only a lens busbar is required to be designed, and the entity model of the lens can be obtained through busbar rotation.
As shown in fig. 3, a flowchart of a lens design method according to an embodiment of the present invention includes the following steps:
in step 301, the LED light sources are divided according to the equal luminous flux, so as to obtain a plurality of energy units.
And 302, dividing the target surface according to the equal area to obtain sub-areas corresponding to the energy units one by one.
And 303, constructing a free-form surface lens according to the energy unit and the corresponding subareas.
In a specific application, the light energy spatial distribution of the LED light source may be divided into a plurality of ring-shaped energy units of equal luminous flux. Correspondingly, the subareas which are in one-to-one correspondence with the energy units are annular areas.
As shown in fig. 4, a schematic diagram dividing the aliquoting luminous flux and the target surface and their correspondence is divided. The left graph is a circular ring energy unit schematic diagram for dividing the light energy space distribution of the LED light source into a plurality of equal luminous fluxes, and the right graph is a circular ring subarea which is obtained by dividing the target surface according to equal area, wherein the areas of the circular ring subareas are equal. Each ring energy unit corresponds to a ring sub-region, for example, the ring energy unit identified by the left diagonal line corresponds to the ring sub-region identified by the right diagonal line.
Based on the energy units and the corresponding subareas obtained by the division, the process of constructing the free-form lens is as follows: and constructing an iterative relationship between two adjacent sampling points on the free-form surface lens busbar according to the energy unit and the corresponding subarea. And then determining all sampling points on the lens bus according to the iterative relation. And then connecting all sampling points in sequence to obtain a lens busbar. And after all sampling points on the free-form surface lens generatrix are calculated, connecting the sampling points to obtain the free-form surface lens generatrix. And then rotating the lens generatrix around the symmetry axis for one circle to obtain the free-form surface lens.
It should be noted that, when determining the iterative relationship, any group of energy units and corresponding sub-regions may be selected, which is not limited to the embodiment of the present invention.
The above-described process is described in detail below.
Referring to fig. 4, a sub-area of a ring-shaped band is taken from the right, as shown by the shading in the figure, and the area of the sub-area is:
dS=2πrsinθrdθ (1)
the solid angle corresponding to the subarea is as follows:
wherein Ω represents a solid angle corresponding to the sub-region, and r is a radius of the sub-region.
The solid angle refers to the angle of an object to the three-dimensional space of a specific point, and the space contained by a closed conical surface with any shape is called solid angle.
The cone angles formed between the shadow zone and the inner ring, the outer ring and the direction are respectively theta i And theta i+1 The luminous flux in this sub-region is:
in the formula, I (theta) is luminous intensity distribution of an LED light source, and the LED point light source is in perfect lambertian distribution, namely:
I(θ)=I 0 cosθ (4)
total luminous flux Φ of LED light source t The method comprises the following steps:
the luminous flux of the LED light source is equally divided into N parts, and the luminous flux per part (i.e., the aforementioned energy unit) is:
in θ i The exit angle of the ith light ray is the sampled light ray angle for equally dividing the luminous flux of the LED light source.
As shown in fig. 5. Knowing θ 0 =0, and the sampling ray angle θ of the luminous flux of each LED light source can be calculated by iterative relation i Thus, the sampling angle of the emergent light of the LED light source can be obtained.
Assuming that the radius of the target surface is R, dividing the target surface into N concentric annular subareas with equal areas, and setting the radius of each annular subarea as R as shown in the right graph in fig. 4 i (i=0, 1,2, … …, N-1), where r 0 =0, then the area of each sub-region is S 0 :
Thus, the radius r of each annular subarea is obtained i :
Constructing an iterative relationship between two adjacent coordinate points on the free-form surface lens generatrix, and controlling each sampling light ray to be incident to a corresponding sampling point on the target surface, such as light ray OP i A sub-region T incident on the target surface i Sub-region T i The corresponding sampling radius is r i The light OP can be known according to the principle of edge light i And light OP i+1 All the light rays in between are incident on the subarea T on the target surface i And subarea T i+1 In between, controlling the equal luminous flux to be incident on the equal area in this way achieves a uniform irradiance distribution on the target surface.
Therefore, the lens busbar can be obtained only by calculating each sampling point on the lens busbar, and the specific calculation process is as follows:
with reference to FIG. 6, in the form of a light sourceThe position is the origin of coordinates O (0, 0), the distance from the light source to the target surface is H, and the center point P of the outer surface of the lens 0 The height of (2) is h. The inner surface of the lens is spherical and does not affect the direction of propagation of the light, so fig. 6 only shows the outer surface.
The lens center point P can be determined based on the initial conditions 0 Coordinates (x) 0 =0,y 0 =h), the center point T of the target surface 0 Coordinates (X) 0 =0,Y 0 =h). Such that the vector OP of the first incident ray 0 It can be determined. Incident light ray OP 0 Pass through P 0 T incident on target surface after point 0 A point, thus emitting a ray vector P 0 T 0 Can also be obtained. From the vector form of the law of refraction, the following formula can be derived:
[1+n 2 -2n(Out·In)] 2 ·N=Out-nIn (9)
Thus, P can be calculated 0 Normal vector N of point 0 Thereby obtaining P 0 Tangent to the point. When the number of sampling points is relatively large, it can be considered that P is exceeded 0 The tangent line of the point intersects the second sampled ray at P 1 (x 1 ,y 1 ) Dots, thus can obtain P 0 Tangential slope k of point:
light OP 1 Corresponding emergence angle of theta 1 The method comprises the following steps:
from the above two formulas (10) and (11), P can be calculated 1 (x 1 ,y 1 )。
Similarly, repeating the above procedure may result in the following iterative relationship:
according to the formulas (12) and (13), the coordinate iterative relationship between two adjacent sampling points can be calculated as follows:
by using the iterative relation between two adjacent points, all sampling points on the generatrix of the self-curved lens can be obtained.
After all the sampling points on the free-form surface lens generatrix are calculated, the sampling points are connected to obtain the free-form surface lens generatrix, as shown in fig. 7.
Because the lens is in a rotationally symmetrical structure, the free-form surface lens can be obtained after the lens generatrix is rotated around the symmetry axis for one circle.
It should be noted that, in the embodiment of the present invention, the inner surface of the free-form lens is a spherical surface, and the radius of the inner surface may be selected according to the center thickness of the lens. The center thickness refers to the center thickness of each microlens constituting the free-form surface lens, and the radius of the face formed by splicing all the microlenses is the radius of the inner spherical surface.
And (3) constructing a three-dimensional sphere by taking the origin as the sphere center and performing Boolean difference with the lens model to obtain the final free-form surface lens as shown in fig. 8 without influencing irradiance distribution on the target surface by the radius of the inner sphere of the point light source.
In practical applications, the radius of the inner surface may be determined according to the center thickness of the free-form lens.
The irradiance distribution of the LED directly impinging on the target surface and after homogenizing through the free-form surface lens is compared as shown in fig. 9 and 10. Wherein, fig. 9 is an irradiance distribution diagram of the LED directly illuminating the target surface, and fig. 10 is an irradiance distribution diagram after the free-form surface lens is homogenized.
As can be seen by comparing fig. 9 and 10, the irradiance distribution of the LED directly on the target surface is highly non-uniform, and becomes quite uniform when the light output from the LED is redistributed through the free-form lens.
Correspondingly, the embodiment of the invention also provides a device for realizing uniform irradiance distribution of the LED, which comprises: the LED light source is covered outside the LED light source and is provided with a free-form surface lens, and the LED light source is fixed at the center of the free-form surface lens; the inner surface of the free-form surface lens is a spherical surface.
In this embodiment, the free-form surface lens is configured to control the energy units of the light energy space of the LED light source to be incident into the sub-areas of the target surface corresponding to the energy units, where the areas of the sub-areas corresponding to different energy units are the same.
Further, the apparatus further comprises: and the substrate is used for mounting the LED light source, and the free-form surface lens is adhered to the substrate.
The free-form lens can be manufactured by selecting different materials according to application requirements, such as silica gel, optical-grade PMMA (polymethyl inner vinyl methyl ester commonly known as acrylic), optical-grade Polycarbonate (PC for short), glass and the like. The free-form surface lens can be packaged on the LED by adopting a process matched with the material, so that the light output by the LED is redistributed through the free-form surface lens to form irradiance uniformly distributed on the target surface.
In practical application, a single LED or a plurality of LEDs may be used to achieve illumination according to the size of the target surface to be illuminated. The structural design of the LED plus the freeform lens can be applied to various scenes with high lighting uniformity requirements, such as backlight for a liquid crystal display, and can enable the display to provide clearer images or videos.
Considering that the size of the liquid crystal display surface is large, a single LED cannot meet the lighting requirement of the whole liquid crystal display surface, and for this purpose, a structural design of an LED array may be adopted, as shown in fig. 11.
In one embodiment, according to the limit of the appearance structure of the selected liquid crystal display, the illumination distance of the backlight source is determined to be 30mm, the interval between the LEDs is determined to be 100mm, and through simulation analysis test, better illumination uniformity can be obtained, and the uniformity can reach 70%.
While the embodiments of the present invention have been described in detail, the detailed description of the invention is provided herein, and the description of the embodiments is merely an example of some, but not all, of the methods and apparatus of the present invention. All other embodiments, which can be made by those skilled in the art based on the embodiments of the present invention without making any inventive effort, shall fall within the scope of the present invention, and the present description should not be construed as limiting the present invention. It is therefore contemplated that any modifications, equivalents, improvements or modifications falling within the spirit and principles of the invention will fall within the scope of the invention.
Claims (10)
1. A method of achieving uniform irradiance distribution of an LED, the method comprising:
a free-form surface lens is covered outside the LED light source, and the LED light source is fixed at the center of the free-form surface lens; the inner surface of the free-form surface lens is a spherical surface;
when the LED light source emits light, the free-form surface lens controls a plurality of energy units with equal luminous flux in the light energy space of the LED light source to be incident into the subareas of the target surface corresponding to the energy units, and the subareas corresponding to different energy units have the same area.
2. The method according to claim 1, wherein the method further comprises: the free-form lens is constructed as follows:
dividing the LED light source according to equal luminous flux to obtain a plurality of energy units;
dividing a target surface according to equal areas to obtain subareas which are in one-to-one correspondence with the energy units;
and constructing the free-form surface lens according to the energy units and the corresponding subareas.
3. The method of claim 2, wherein dividing the LED light source by equal luminous flux to obtain a plurality of energy units comprises:
dividing the light energy space distribution of the LED light source into a plurality of circular ring energy units with equal luminous flux;
the subregions that correspond one-to-one with the energy unit are annular regions.
4. The method of claim 3, wherein constructing a free-form lens from the energy units and corresponding sub-regions comprises:
determining a lens busbar according to the energy unit and the corresponding subarea;
and rotating the lens generatrix around the symmetry axis for one circle to obtain the free-form surface lens.
5. The method of claim 4, wherein determining a lens busbar from the energy unit and corresponding sub-region comprises:
determining all sampling points on a lens bus according to the energy units and the corresponding sub-areas;
and sequentially connecting all the sampling points to obtain a lens busbar.
6. The method of claim 5, wherein determining all sampling points on a lens bus from the energy units and corresponding sub-regions comprises:
constructing an iterative relationship between two adjacent sampling points on a free-form surface lens busbar according to the energy unit and the corresponding subarea;
and determining all sampling points on the lens bus according to the iterative relationship.
7. The method of claim 6, wherein constructing an iterative relationship between two adjacent sampling points on a freeform lens busbar from the energy units and corresponding sub-regions comprises:
the two adjacent sampling points P are calculated according to the following formula i+1 (x i+1 ,y i+1 ) And P i (x i ,y i ) Coordinate iteration relation between:
wherein θ i Is light OP i Angle of emergence, theta i+1 Is light OP i+1 Light ray OP i For the light source O (0, 0) to the sampling point P i (x i ,y i ) Incident light ray OP of (2) i+1 For the light source center point O to the sampling point P i+1 (x i+1 ,y i+1 ) Is a light source, and is a light source.
8. The method of claim 4, wherein constructing the freeform lens further comprises:
and determining the radius of the inner surface according to the center thickness of the free-form surface lens.
9. An apparatus for achieving uniform irradiance distribution of an LED, the apparatus comprising: the LED light source is covered outside the LED light source and is provided with a free-form surface lens, and the LED light source is fixed at the center of the free-form surface lens; the inner surface of the free-form surface lens is a spherical surface;
the free-form surface lens is used for controlling the incidence of a plurality of energy units of equal luminous flux in the light energy space of the LED light source into the subareas of the target surface corresponding to the energy units, and the subareas corresponding to different energy units have the same area.
10. The apparatus of claim 9, wherein the apparatus further comprises: and the substrate is used for mounting the LED light source, and the free-form surface lens is adhered to the substrate.
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