CN106764551B - LED collimated illumination optics with refractive lens and reflector - Google Patents

LED collimated illumination optics with refractive lens and reflector Download PDF

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CN106764551B
CN106764551B CN201611080316.1A CN201611080316A CN106764551B CN 106764551 B CN106764551 B CN 106764551B CN 201611080316 A CN201611080316 A CN 201611080316A CN 106764551 B CN106764551 B CN 106764551B
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CN106764551A (en
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张晓晖
刘典宏
陈琛
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Naval University of Engineering PLA
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    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F21LIGHTING
    • F21VFUNCTIONAL FEATURES OR DETAILS OF LIGHTING DEVICES OR SYSTEMS THEREOF; STRUCTURAL COMBINATIONS OF LIGHTING DEVICES WITH OTHER ARTICLES, NOT OTHERWISE PROVIDED FOR
    • F21V5/00Refractors for light sources
    • F21V5/04Refractors for light sources of lens shape
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F21LIGHTING
    • F21VFUNCTIONAL FEATURES OR DETAILS OF LIGHTING DEVICES OR SYSTEMS THEREOF; STRUCTURAL COMBINATIONS OF LIGHTING DEVICES WITH OTHER ARTICLES, NOT OTHERWISE PROVIDED FOR
    • F21V7/00Reflectors for light sources
    • F21V7/04Optical design
    • F21V7/09Optical design with a combination of different curvatures

Abstract

The invention discloses an LED collimation illumination optical device with a refraction lens and a reflector, and relates to an LED collimation illumination optical device. The optical lens comprises a refraction lens, a reflector, a first curved surface, a second curved surface, a third curved surface, a fourth curved surface, a fifth curved surface, a sixth curved surface, a seventh curved surface, an eighth curved surface, a ninth curved surface, a tenth curved surface, an eleventh curved surface and a twelfth curved surface, wherein the first curved surface is a rotational symmetry free curved surface, the second curved surface is a semicircular plane, the third curved surface is a rotational symmetry free curved surface, the fourth curved surface and the fifth curved surface are cylindrical surfaces, the sixth curved surface is a non-rotational symmetry free curved surface, and the eighth curved surface and the ninth curved surface are both reflection free curved surfaces. The invention has good light control capability, can realize bidirectional collimation approximate rectangular light beams and can keep higher light efficiency.

Description

LED collimated illumination optics with refractive lens and reflector
Technical Field
The invention relates to an LED collimation illumination optical device, in particular to an LED collimation illumination optical device with a refraction lens and a reflector.
Background
As a novel light source, the LED becomes a perfect substitute for the traditional light source such as an incandescent lamp, a fluorescent lamp and the like due to the advantages of high light efficiency, long service life, no toxicity and the like. However, since the light intensity distribution of the LED is a circular lambertian distribution, if the LED is directly applied to illumination, an extremely uneven illuminance distribution is formed on the target surface, and the requirements of various illumination occasions on the optical performance of the lamp cannot be met. In order to make the LED better applicable to the illumination field, the secondary optical system needs to be designed to redistribute the light intensity distribution of the LED so that it can form a uniform or other specific illumination distribution on the target surface.
In the visible light guide application field such as ship navigation, an approximately rectangular collimated light beam is required, and therefore, the light is a two-way collimated light. To this end, at least two optical surfaces are required to control the direction of the LED light, with a first surface controlling the lateral direction collimation and a second surface controlling the longitudinal direction collimation. Chinese invention patent application specification CN201410125879 presents a design method for obtaining a circular collimated lighting effect. But an approximately rectangular collimated beam cannot be obtained. Chinese invention patent application specification CN201410126870 presents a design method for obtaining a large field angle rectangular illumination. But the method can realize unidirectional collimation at most and cannot realize approximately rectangular bidirectional collimated light beams.
Disclosure of Invention
The invention aims to provide an LED collimation illumination optical device with a refraction lens and a reflector, which can control the light collimation in the transverse direction and the longitudinal direction, collect all the light of an LED and have higher light efficiency.
In order to achieve the purpose, the technical scheme of the invention is as follows: LED collimated illumination optics with a refractive lens and a reflector, characterized by: the optical fiber lens comprises a refraction lens and a reflector, wherein the refraction lens is an entity formed by a first curved surface, a second curved surface, a third curved surface, a fourth curved surface, a fifth curved surface, a sixth curved surface and a seventh curved surface, and the reflector is an entity formed by an eighth curved surface, a ninth curved surface, a tenth curved surface, an eleventh curved surface and a twelfth curved surface; the first curved surface is a rotationally symmetric free curved surface and is used for refracting light rays emitted by the LED lamp, and the refracted light rays are perpendicular to a symmetry axis of the first curved surface; the second curved surface is a semicircular plane and is used for refracting light rays emitted by the LED and enabling all the refracted light rays to reach the third curved surface; the third curved surface is a rotationally symmetric free curved surface utilizing the total reflection principle and is used for reflecting the light rays refracted by the second curved surface to the direction vertical to the rotationally symmetric axis of the third curved surface; the fourth curved surface and the fifth curved surface are both cylindrical surfaces, and the light rays refracted by the fourth curved surface and the fifth curved surface do not change directions; the symmetry axis of the first curved surface, the symmetry axis of the second curved surface, the symmetry axis of the third curved surface, the symmetry axis of the fourth curved surface and the symmetry axis of the fifth curved surface are all axes which are vertical to the second curved surface and pass through the circle center of the second curved surface, and the axes are also the x-axis; the sixth curved surface is a non-rotationally symmetrical free curved surface and is used for collimating the light rays which are collimated by the first curved surface, the second curved surface and the third curved surface but do not pass through the fourth curved surface and the fifth curved surface; the seventh curved surface is a plane which does not participate in the control of the light direction and is used for connecting the third curved surface and the sixth curved surface; the eighth curved surface and the ninth curved surface are both reflecting free-form curved surfaces, wherein the eighth curved surface is used for collimating the light rays from the fourth curved surface and enabling the refracted light rays to be parallel to the z axis, and the ninth curved surface is used for collimating the light rays from the fifth curved surface; the tenth curved surface and the eleventh curved surface are both reflection planes which do not participate in light direction control and are both used for connecting the eighth curved surface and the ninth curved surface; the twelfth curved surface is a plane not participating in the light direction control, and is used for extending the thicknesses of the eighth curved surface, the ninth curved surface, the tenth curved surface and the eleventh curved surface outwards, and enabling the eighth curved surface, the ninth curved surface, the tenth curved surface, the eleventh curved surface and the twelfth curved surface to form an entity.
In the above technical solution, the coordinates of the point on the first curved surface are calculated by the following formula, and the coordinate value of the initial point of the first curved surface is determined, where the initial point of the first curved surface is the intersection point of the first curved surface and the z-axis, and the coordinate value of the point on the contour curve is calculated in an iterative manner, so that the currently known point (x) is calculatedi-1,zi-1) The normal vector of (A) is N ═ Nx,Nz) The angle between the incident ray corresponding to the lower point of the profile curve to be calculated and the z-axis is thetaiThen, the coordinate value (x) of the next pointi,zi) Comprises the following steps:
Figure GDA0002024816930000032
wherein k is Nx/Nz
In the above technical solution, the z-axis coordinate value of the initial point of the first curved surface is 3-100mm, preferably 6 mm. The included angle between the LED light rays corresponding to the edge of the first curved surface and the z-axis is 5-50 degrees, and the optimal included angle is 34 degrees.
In the above technical solution, the second curved surface is perpendicular to the plane where z is 0, and the initial point of the second curved surface is an edge point of the first curved surface.
In the above technical solution, the coordinates of the point on the third curved surface are calculated by the following formula, the coordinate value of the initial point of the third curved surface is determined, the initial point of the third curved surface is the intersection point of the second curved surface and the x-axis, and the point on the contour curve is calculated by iterationCoordinate value, let the currently known point (x)i-1,zi-1) The normal vector of (A) is N ═ Nx,Nz) The angle between the incident ray corresponding to the lower point of the profile curve to be calculated and the z-axis is thetaiThen, the coordinate value (x) of the next pointi,zi) Comprises the following steps:
Figure GDA0002024816930000041
wherein k is Nx/Nz
In the above technical solution, the symmetry axis of the first curved surface, the symmetry axis of the second curved surface, the symmetry axis of the third curved surface, the symmetry axis of the fourth curved surface, and the symmetry axis of the fifth curved surface are all x-axes, and the initial points of the fourth curved surface and the fifth curved surface are edge points of the third curved surface.
In the above technical solution, the coordinates of the point on the sixth curved surface are calculated by the following formula, first, the coordinate value of the initial point of the sixth curved surface is determined, the initial point of the sixth curved surface is the edge point of the fourth curved surface, and the coordinate value of the point on the contour curve is calculated in an iterative manner, so that the current known point (y) is calculatedi-1,zi-1) The normal vector of (A) is N ═ Ny,Nz) The angle between the incident ray corresponding to the lower point of the profile curve to be calculated and the z-axis is thetaiThen, the coordinate value (y) of the next pointi,zi) Comprises the following steps:
Figure GDA0002024816930000042
wherein k is Ny/Nz
In the above technical solution, the coordinates of the points on the eighth curved surface and the ninth curved surface are calculated by the following formula, the coordinate values of the initial points of the eighth curved surface and the ninth curved surface are determined, the initial points of the eighth curved surface and the ninth curved surface are both the intersection point of the first curved surface and the z-axis, and the coordinate values of the points on the contour curve are calculated in an iterative manner, so that the currently known point (y) is calculatedi-1,zi-1) The normal vector of (A) is N ═ Ny,Nz) The angle between the incident ray corresponding to the lower point of the profile curve to be calculated and the z-axis is thetaiThen, get the followingCoordinate value (y) of one pointi,zi) Comprises the following steps:
Figure GDA0002024816930000043
wherein k is Ny/Nz
The invention has good light control capability, can realize bidirectional collimation approximate rectangular light beams and can keep higher light efficiency.
Drawings
FIG. 1 is a schematic structural diagram of the present invention.
Fig. 2 is a schematic structural diagram of a refractive lens.
Fig. 3 is a schematic structural diagram of the refractive lens without the sixth and seventh curved surfaces.
Fig. 4 is a bottom view of fig. 2.
Fig. 5 is a schematic structural view of the reflector.
Fig. 6 is a simulation result of the final emergent light spot illuminance distribution in the optical design software according to the present invention.
In the figure, 1-refractive lens, 11-first curved surface, 12-second curved surface, 13-third curved surface, 14-fourth curved surface, 15-fifth curved surface, 16-sixth curved surface, 17-seventh curved surface, 2-reflector, 21-eighth curved surface, 22-ninth curved surface, 23-tenth curved surface, 24-eleventh curved surface and 25-twelfth curved surface.
Detailed Description
The embodiments of the present invention will be described in detail with reference to the accompanying drawings, which are not intended to limit the present invention, but are merely exemplary. While the advantages of the invention will be clear and readily understood by the description.
With reference to the accompanying drawings: LED collimated illumination optics with a refractive lens and a reflector, characterized by: the optical lens comprises a refraction lens 1 and a reflector 2, wherein the refraction lens 1 is an entity formed by a first curved surface 11, a second curved surface 12, a third curved surface 13, a fourth curved surface 14, a fifth curved surface 15, a sixth curved surface 16 and a seventh curved surface 17, and the reflector 2 is an entity formed by an eighth curved surface 21, a ninth curved surface 22, a tenth curved surface 23, an eleventh curved surface 24 and a twelfth curved surface 25;
the first curved surface 11 is a rotationally symmetric free-form curved surface and is used for refracting light rays emitted by the LED lamp, and the refracted light rays are perpendicular to a symmetry axis of the first curved surface; the maximum included angle between the refraction of the light rays emitted by the LED lamp and the z axis is determined by the refractive index of the lens material, and the coordinates of the points on the first curved surface 11 are calculated by Snell's law;
the second curved surface 12 is a semicircular plane and is used for refracting light rays emitted by the LED, and all the refracted light rays can reach a third curved surface; the coordinates of the points on the second curved surface 12 are calculated by Snell's law;
the third curved surface 13 is a rotationally symmetric free curved surface using a total reflection principle, and is used for reflecting the light refracted by the second curved surface 12 to a direction perpendicular to a rotationally symmetric axis of the third curved surface 13;
the fourth curved surface 14 and the fifth curved surface 15 are both cylindrical surfaces, and the light rays refracted by the fourth curved surface 14 and the fifth curved surface 15 do not change directions;
the symmetry axis of the first curved surface 11, the symmetry axis of the second curved surface 12, the symmetry axis of the third curved surface 13, and the symmetry axes of the fourth curved surface 14 and the fifth curved surface 15 are all axes which are perpendicular to the second curved surface 12 and pass through the circle center of the second curved surface 12, and are also the x-axis;
the sixth curved surface 16 is a non-rotationally symmetric free-form curved surface and is used for collimating the light rays which are collimated by the first curved surface 11, the second curved surface 12 and the third curved surface 13 but do not pass through the fourth curved surface 14 and the fifth curved surface 15; the coordinate point on the free-form surface is obtained by calculation through energy conservation and Snell's law;
the seventh curved surface 17 is a plane which does not participate in the control of the light direction and is used for connecting the third curved surface 13 with the sixth curved surface 16;
the eighth curved surface 21 and the ninth curved surface 22 are both reflective free curved surfaces, wherein the eighth curved surface 21 is used for collimating the light from the fourth curved surface 14 and making the refracted light parallel to the z-axis, and the ninth curved surface 22 is used for collimating the light from the fifth curved surface 15; the coordinate points on the eighth curved surface 21 and the ninth curved surface 22 are calculated by Snell's law;
the tenth curved surface 23 and the eleventh curved surface 24 are both reflection planes which do not participate in the light direction control, and are both used for connecting the eighth curved surface 21 and the ninth curved surface 22;
the twelfth curved surface 25 is a plane not participating in the light direction control, and is used for extending the thicknesses of the eighth curved surface 21, the ninth curved surface 22, the tenth curved surface 23 and the eleventh curved surface 24 outwards, and enabling the eighth curved surface 21, the ninth curved surface 22, the tenth curved surface 23, the eleventh curved surface 24 and the twelfth curved surface 25 to form an entity.
Preferably, the coordinates of the point on the first curved surface 11 are calculated by the following formula, determining the coordinate value of the initial point of the first curved surface 11, where the initial point of the first curved surface 11 is the intersection point of the first curved surface 11 and the z-axis, and calculating the coordinate value of the point on the contour curve in an iterative manner, so that the currently known point (x) is obtainedi-1,zi-1) The normal vector of (A) is N ═ Nx,Nz) The angle between the incident ray corresponding to the lower point of the profile curve to be calculated and the z-axis is thetaiThen, the coordinate value (x) of the next pointi,zi) Comprises the following steps:
Figure GDA0002024816930000071
wherein k is Nx/Nz
Preferably, the z-axis coordinate value of the initial point of the first curved surface is 3-100mm, and most preferably 6 mm. The included angle between the LED light rays corresponding to the edge of the first curved surface and the z-axis is 5-50 degrees, and the optimal included angle is 34 degrees.
Preferably, the second curved surface 12 is perpendicular to the plane where z is 0, and the initial point of the second curved surface 12 is the edge point of the first curved surface 11.
Preferably, the coordinates of the point on the third curved surface 13 are calculated by the following formula, determining the coordinate value of the initial point of the third curved surface 13, where the initial point of the third curved surface 13 is the intersection point of the second curved surface 12 and the x-axis, and calculating the coordinate value of the point on the contour curve in an iterative manner, so that the currently known point (x-axis) is obtainedi-1,zi-1) The normal vector of (A) is N ═ Nx,Nz) The angle between the incident ray corresponding to the lower point of the profile curve to be calculated and the z-axis is thetaiThen, the coordinate value (x) of the next pointi,zi) Comprises the following steps:
Figure GDA0002024816930000081
wherein k is Nx/Nz
Preferably, the symmetry axis of the first curved surface 11, the symmetry axis of the second curved surface 12, the symmetry axis of the third curved surface 13, the symmetry axis of the fourth curved surface 14 and the symmetry axis of the fifth curved surface 15 are all x axes.
Preferably, the coordinates of the point on the sixth curved surface 16 are calculated by determining the coordinate value of the initial point of the sixth curved surface 16, where the initial point of the sixth curved surface 16 is the edge point of the fourth curved surface 14, and calculating the coordinate value of the point on the contour curve in an iterative manner, so that the current known point (y) is obtainedi-1,zi-1) The normal vector of (A) is N ═ Ny,Nz) The angle between the incident ray corresponding to the lower point of the profile curve to be calculated and the z-axis is thetaiThen, the coordinate value (y) of the next pointi,zi) Comprises the following steps:
Figure GDA0002024816930000082
wherein k is Ny/Nz
Preferably, the coordinates of the points on the eighth curved surface 21 and the ninth curved surface 22 are calculated by the following formula, determining the coordinate values of the initial points of the eighth curved surface 21 and the ninth curved surface 22, where the initial points of the eighth curved surface 21 and the ninth curved surface 22 are the intersection points of the first curved surface 11 and the z-axis, and calculating the coordinate values of the points on the contour curve in an iterative manner, so as to make the currently known point (y) be known (y)i-1,zi-1) The normal vector of (A) is N ═ Ny,Nz) The angle between the incident ray corresponding to the lower point of the profile curve to be calculated and the z-axis is thetaiThen, the coordinate value (y) of the next pointi,zi) Comprises the following steps:
Figure GDA0002024816930000091
wherein k is Ny/Nz
In actual operation, the refraction lens 1 has 7 curved surfaces, the purpose is to collimate spherical waves emitted by the LED into cylindrical waves which are vertical to the second curved surface and take an axis passing through the center of the second curved surface as a symmetry axis, the fourth curved surface and the fifth curved surface are both incomplete cylindrical surfaces, and the occupied angles are 40-85 degrees (preferably 45 degrees). The refractive lens 1 was 38.64mm long, 29.17mm high and 37.27mm wide. The height of the space formed between the first curved surface and the second curved surface is 6mm, the width is 14mm, and the space is used for placing the LED light source. The refractive lens was placed in a reflector having a length of 104mm, a height of 47mm and a width of 50 mm.
As shown in fig. 6, the simulation result of the emergent light intensity obtained in the optical design software of the present invention is obtained by tracing one million rays. The simulation results showed that the optical efficiency of the lens system of this embodiment was 79.38%. The transverse divergence angle is 0.2 degree, the longitudinal divergence angle is 0.4 degree, the bidirectional approximately rectangular collimated light beam is realized, the uniformity of the light intensity on the x axis and the y axis is higher than 93 percent, and the uniformity is good.
Other parts not described belong to the prior art.

Claims (8)

1. LED collimated illumination optics with a refractive lens and a reflector, characterized by: the LED lamp comprises a refraction lens (1) and a reflector (2), wherein the refraction lens (1) is an entity formed by a first curved surface (11), a second curved surface (12), a third curved surface (13), a fourth curved surface (14), a fifth curved surface (15), a sixth curved surface (16) and a seventh curved surface (17), and the reflector (2) is an entity formed by an eighth curved surface (21), a ninth curved surface (22), a tenth curved surface (23), an eleventh curved surface (24) and a twelfth curved surface (25);
the first curved surface (11) is a rotationally symmetric free-form surface and is used for refracting light rays emitted by the LED lamp, and the refracted light rays are perpendicular to the symmetry axis of the first curved surface;
the second curved surface (12) is a semicircular plane and is used for refracting light rays emitted by the LED and enabling all the refracted light rays to reach the third curved surface;
the third curved surface (13) is a rotationally symmetric free curved surface utilizing the total reflection principle and is used for reflecting the light rays refracted by the second curved surface (12) to the direction vertical to the rotationally symmetric axis of the third curved surface (13);
the fourth curved surface (14) and the fifth curved surface (15) are both cylindrical surfaces, and the light rays refracted by the fourth curved surface (14) and the fifth curved surface (15) do not change directions;
the symmetry axis of the first curved surface (11), the symmetry axis of the second curved surface (12), the symmetry axis of the third curved surface (13), the symmetry axis of the fourth curved surface (14) and the symmetry axis of the fifth curved surface (15) are all axes which are vertical to the second curved surface (12) and pass through the circle center of the second curved surface (12), namely the x axis;
the sixth curved surface (16) is a non-rotational-symmetry free curved surface and is used for collimating the light rays which are collimated by the first curved surface (11), the second curved surface (12) and the third curved surface (13) but do not pass through the fourth curved surface (14) and the fifth curved surface (15);
the seventh curved surface (17) is a plane which does not participate in the control of the light direction and is used for connecting the third curved surface (13) and the sixth curved surface (16);
the eighth curved surface (21) and the ninth curved surface (22) are both reflection free curved surfaces, wherein the eighth curved surface (21) is used for collimating the light rays from the fourth curved surface (14) and enabling the refracted light rays to be parallel to the z axis, and the ninth curved surface (22) is used for collimating the light rays from the fifth curved surface (15);
the tenth curved surface (23) and the eleventh curved surface (24) are both reflection planes which do not participate in the light direction control and are both used for connecting the eighth curved surface (21) and the ninth curved surface (22);
the twelfth curved surface (25) is a plane which does not participate in the control of the light direction, and is used for extending the thicknesses of the eighth curved surface (21), the ninth curved surface (22), the tenth curved surface (23) and the eleventh curved surface (24) outwards, and enabling the eighth curved surface (21), the ninth curved surface (22), the tenth curved surface (23), the eleventh curved surface (24) and the twelfth curved surface (25) to form an entity.
2. The LED collimating illumination optics with a refractive lens and a reflector according to claim 1, wherein: the coordinates of the points on the first curved surface (11) are calculated by the following formula, the coordinate value of the initial point of the first curved surface (11) is determined, and the initial point of the first curved surface (11) is the second pointAn intersection of a curved surface (11) and the z-axis, calculating coordinate values of points on the profile curve in an iterative manner, and making the current known point (x) bei-1,zi-1) The normal vector of (A) is N ═ Nx,Nz) The angle between the incident ray corresponding to the lower point of the profile curve to be calculated and the z-axis is thetaiThen, the coordinate value (x) of the next pointi,zi) Comprises the following steps:
Figure FDA0002362839240000021
wherein k is Nx/Nz
3. The LED collimating illumination optics with a refractive lens and a reflector according to claim 2, wherein: the z-axis coordinate value of the initial point of the first curved surface (11) is 3-100mm, and the included angle between the LED light corresponding to the edge of the first curved surface (11) and the z-axis is 5-50 degrees.
4. The LED collimating illumination optics with a refractive lens and a reflector according to claim 2, wherein: the second curved surface (12) is perpendicular to the plane where z is 0, and the initial point of the second curved surface (12) is the edge point of the first curved surface (11).
5. The LED collimating illumination optics with a refractive lens and a reflector according to claim 4, wherein: the coordinates of the points on the third curved surface (13) are calculated by the following formula, the coordinate values of the initial points of the third curved surface (13) are determined, the initial points of the third curved surface (13) are the intersection points of the second curved surface (12) and the x axis, the coordinate values of the points on the contour curve are calculated in an iterative mode, and the currently known points (x) are made to be the coordinate values of the points on the contour curvei-1,zi-1) The normal vector of (A) is N ═ Nx,Nz) The angle between the incident ray corresponding to the lower point of the profile curve to be calculated and the z-axis is thetaiThen, the coordinate value (x) of the next pointi,zi) Comprises the following steps:
Figure FDA0002362839240000031
wherein k is=Nx/Nz
6. The LED collimating illumination optics with a refractive lens and a reflector according to claim 4, wherein: the symmetry axis of the first curved surface (11), the symmetry axis of the second curved surface (12), the symmetry axis of the third curved surface (13), the symmetry axis of the fourth curved surface (14) and the symmetry axis of the fifth curved surface (15) are all x-axes, and the initial point of the fourth curved surface (14) and the initial point of the fifth curved surface (15) are edge points of the third curved surface (13).
7. The LED collimating illumination optics with a refractive lens and a reflector according to claim 6, wherein: the coordinates of the points on the sixth curved surface (16) are calculated by the following formula,
firstly, determining the coordinate value of the initial point of a sixth curved surface (16), wherein the initial point of the sixth curved surface (16) is the edge point of a fourth curved surface (14), calculating the coordinate value of a point on a contour curve in an iterative mode, and leading the current known point (y) to bei-1,zi-1) The normal vector of (A) is N ═ Ny,Nz) The angle between the incident ray corresponding to the lower point of the profile curve to be calculated and the z-axis is thetaiThen, the coordinate value (y) of the next pointi,zi) Comprises the following steps:
Figure FDA0002362839240000041
wherein k is Ny/Nz
8. The LED collimated illumination optics with a refractive lens and a reflector according to any one of claims 1 to 7, wherein: the coordinates of the points on the eighth curved surface (21) and the ninth curved surface (22) are calculated by the following formula,
determining coordinate values of initial points of an eighth curved surface (21) and a ninth curved surface (22), wherein the initial points of the eighth curved surface (21) and the ninth curved surface (22) are both intersection points of the first curved surface (11) and the z axis, calculating coordinate values of points on the contour curve in an iterative mode, and enabling currently known points (y) to be obtainedi-1,zi-1) The normal vector of (A) is N ═ Ny,Nz) The angle between the incident ray corresponding to the lower point of the profile curve to be calculated and the z-axis is thetaiThen, the coordinate value (y) of the next pointi,zi) Comprises the following steps:
Figure FDA0002362839240000042
wherein k is Ny/Nz
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CN105387370B (en) * 2015-11-17 2017-09-29 浙江农林大学 A kind of illuminator based on bar shaped laser spot

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