CN207034989U - A kind of double optical lens with free curved surface of LED car high beam - Google Patents

A kind of double optical lens with free curved surface of LED car high beam Download PDF

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CN207034989U
CN207034989U CN201720888533.7U CN201720888533U CN207034989U CN 207034989 U CN207034989 U CN 207034989U CN 201720888533 U CN201720888533 U CN 201720888533U CN 207034989 U CN207034989 U CN 207034989U
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form surface
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王洪
葛鹏
罗蝶
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South China University of Technology SCUT
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Abstract

The utility model discloses a kind of double optical lens with free curved surface of LED car high beam.The forming method of the double free-form surface lens of high beam, double free-form surface lens are combined by two free form surfaces, and first free form surface is the plane of incidence, and second free form surface is exit facet, and optical lens is positioned over before chip.Lens upper and lower surfaces are all free form surfaces, and the light sent from chip reaches on objective plane by the correction of two free form surfaces, and each free form surface can be corrected flexibly to light, make illumination spot more uniform, and the outward appearance of curved surface is rounder and more smooth.This pair of free-form surface lens are simple in construction, efficiency of light energy utilization height, simple and stable structure, are easy to low assembling, cost, long lifespan, luminous intensity distribution performance good, meet GB25991 2010 light distribution requirements.

Description

A kind of double optical lens with free curved surface of LED car high beam
Technical field
It the utility model is related to LED automobile lamp lighting technical field, double freedom of more particularly to a kind of LED car high beam Curved optic lens.
Background technology
Due to the continuous breakthrough of LED core chip technology and the improvement of encapsulation technology, LED luminous efficiency is constantly lifted, Small volume possessed by LED chip, in light weight, high stability and high-luminous-efficiency increasingly obtain the accreditation and happiness of all trades and professions Love, in recent years, LED is also increasingly taken seriously applied to motor vehicle lighting field, especially with the vehicle front lighting of LED light source Lamp field, because the luminous model of LED chip is approximately cosine radiator, optical characteristics is different from the incandescent mercerising of orthodox car Source, LED light source is set to face more complicated optical design issues when being applied to dazzle light, and existing dazzle light There is the problem of colour temperature is higher and optical efficiency is not high in lens, very big puzzlement is brought to the comfortableness in driving way and security, In order that LED is preferably applied for automotive lighting field, this problem urgent need to resolve.
Utility model content
The utility model is directed to above-mentioned problem, there is provided the double free-form surface lens of dazzle light, the lens enter It is all free form surface to penetrate face and exit facet, and two free form surfaces all can be corrected flexibly to light, and light efficiency utilization rate is more Height, make illumination spot more uniform, without obvious dispersion phenomenon, can meet that new national standard will to the luminous intensity distribution of dazzle light Ask, solve the optical design issues using LED light source, not only solved the higher problem of colour temperature but also solved the problems, such as light spot illumination.
The purpose of this utility model, which one of at least adopts the following technical scheme that, to be realized.
A kind of double optical lens with free curved surface of LED car high beam, double free-form surface lens are by two free form surface groups Conjunction forms, and first free form surface is the plane of incidence, and second free form surface is exit facet, and optical lens is positioned over before chip. It is characterized in：Rectangular coordinate system is established, sets illuminated area in front of the origin of coordinates at 25 meters, centered on determining illuminated area central point Elliptical region, energy binned is carried out to elliptical region, set first free form surface and second free form surface angle is rectified Direct ratio, the rising angle of chip and the mapping relations of objective plane are first calculated, with the angle of first free form surface of setting Compensation coefficient, the corresponding relation of the rising angle of chip and the shooting angle of first free form surface is calculated, closed according to corresponding System calculates the point on first free form surface, then with the light extraction put on first free form surface using formula is iterated to calculate The corresponding relation put in angle and objective plane, iterative calculation formula is recycled to calculate the point on second free form surface, will Resulting point pours into modeling in modeling software and can obtain model entity respectively.
Double optical lens with free curved surface are made of clear material, and transparent material can be PC or PMMA or optical glass.Lens Upper and lower surfaces be double free form surfaces, transition face between the two be the face of cylinder, and the face of cylinder easily can be connected with support, just Just the positioning of lens, and do not interfere with optical effect.
Under identical size, double free-form surface lens are higher than the light efficiency utilization rate of simple lens, and the Fresnel damage of lens Lose lower, should be double free form surface planes of incidence is free form surface, rather than the plane of single free form surface, so utilizing angle in light source When identical, the length of curved surface is shorter, and when size is identical, the light-use angle of double free-form surface lens is bigger.
Double free-form surface lens can make the light colour temperature stabilization of transmission, and hot spot is uniform, and the contour structures of lens are concave-convex, First free form surface is recessed to lens interior, and second free form surface convex, whole lens are regarded as by spherical lens The balsaming lens that forms of positive and negative lens combination, balsaming lens can be very good to correct aberration, so passing through double freedom in light Be not in obvious dispersion during curved surface, the colour temperature of hot spot can be stablized well, hot spot is not in obvious partially blue or partially yellow Phenomenon, and two free form surfaces are involved in light correction, can accomplish the rising angle of chip and the mapping relations of objective plane It is more accurate, make that illuminance setting value on illuminated area and actual illumination value are closer, and hot spot is evenly.
The position relationship of LED light source and double optical lens with free curved surface is as follows：The plane of incidence of lens is located at the hair of LED light source Before smooth surface, the center of the center of LED light source light-emitting area and two free form surfaces is point-blank.The light that LED light source is sent During by lens, reflected respectively in the free form surface plane of incidence of lens bottom and the free form surface exit facet of lensed tip, Finally it is emitted on illuminated area.The plane of incidence is free form surface, and first free form surface shape is defined below；Sent out with LED light source The central point of smooth surface is that origin of coordinates O establishes rectangular coordinate system, and plane where LED light-emitting areas be XOY plane, mistake origin and with The vertical axle of XOY plane is Z axis, and wherein XOZ planes are horizontal plane.It is o with Z axis intersection point (distance between point O and point o is 25m) And parallel to the plane of XOY plane be illuminated area xoy planes, point o is the central point of illuminated area；Photic-energy transfer on illuminated area is The superposition that is lighted by multiple LED light sources is realized, due to the spacing facing light sources between LED light source to illuminated area apart from right and wrong It is often small, calculated to simplify, photic-energy transfer can be calculated by a LED light source, be directly obtained using multiple proportion Total photic-energy transfer.First according to dazzle light on illuminated area Illumination Distribution feature, the illumination region on illuminated area is set The elliptical region being set to centered on illuminated area central point, mesh generation then is carried out to the elliptical region, then with energy Amount law of conservation divides to light source solid angle, is finally to obtain the freely song of lens by numerical computations with the law of refraction Face, free form surface shape are specifically defined below：Target illumination identity distance LED distance is d=25m first, and the central point of chip is O, the plane where chip are XOY plane, and the central point where illuminated area is o, and the plane where illuminated area is xoy planes, if Its fixed target illumination field is ellipse, and oval major semiaxis is a, semi-minor axis b；Annular division is carried out to the coordinate of illuminated area, Oval major semiaxis a and semi-minor axis b are divided into n parts, a respectively firstiAnd biI-th part of major semiaxis a and short is represented after decile respectively I-th part of semiaxis b, wherein 0 ＜ i≤n；Then centered on illuminated area central point, respectively with aiFor major semiaxis, biFor semi-minor axis Ellipse is drawn, then illumination region is divided into n part vesica piscises region；Angle α is divided into m parts, 0≤α≤360 °, α againjRepresent α jth part after decile；On illuminated area, using point o as end points, the angle with X-axis is αjBeam will be per a vesica piscis Region is sub-divided into m parts；So, target illumination field is divided into m × n sub-box, the energy in each sub-box For：
In formula, α be illuminated area on any point and point o line and x-axis angle, EkiBrightness value is represented, according to state GB25991-2010 requirements are marked, therefore it is default brightness value to set constant E, with reference to variable kiFor controlling designated area on illuminated area Brightness value size, according to, to the difference of different zones brightness value, setting suitable coefficient in national standard, make light spot illumination value Standard requirement can be met, make hot spot uniform again, brightness value transitions smooth between different zones, demarcated without obvious light and shade.Press The light distribution of the total light flux and chip of chip, the light-use angle of chip is set, then luminous energy solid angle is decomposed into right angle Coordinate system angle, whereinFor emergent ray and the angle of Z axis positive direction, θ is projection and X-axis of the emergent ray on XOY plane Angle, then again by angular divisions, i.e., angleIt is divided into n parts,RepresentI-th part,With aiAnd biIt is corresponding；Angle θ points Into m parts, θjRepresent θ jth part, θjWith αjIt is corresponding；Before reflection, the luminous flux per a angle inner light source is：
According to conservation of energy principle, can obtain
Eb=Ed
By two formula above, it is corresponding that each lattice point on target illumination face can be calculatedAnd θj, i.e. the rising angle of light With the mapping relations of objective plane.The angle correction ratio of first free form surface and second free form surface is set as U:V, that is, set Fixed two respective correction angles of free form surface, the angle of the emergent ray after first free form surface can be drawn, such as The angle for knowing incident ray isThen the angle of emergent ray isCoefficient C calculation formula is
C=V/ (U+V)
So we can calculate the incident ray of first free form surface and the corresponding relation of emergent ray.In order to count Calculate on free form surface coordinate a little, first set the value of a starting point and fixed angles theta, that is, determine chip center's point with thoroughly The distance of mirror bottom center point, after initial point determines, the normal vector of initial point is obtained by the law of refraction, is asked using this normal vector Tangent line is obtained, by asking the intersection point of tangent line and incident ray to obtain the coordinate of second point on curve, the vector form of the law of refraction It is represented by：
Wherein,For incident ray unit vector,For emergent ray unit vector,For unit normal vector, n is Mirror refractive index；By this iterative calculation formula, other points on curve can be calculated successively, it can thus be concluded that to one it is complete from By curve；By fixing different angle θ value respectively, and change angleValue, just obtain a series of on free form surface exit facet Free curve, first free form surface of lens is finally made up of these free curves.The exit facet of lens is also free form surface, The shape of second free form surface is defined below；Rising angle and the illumination of chip can be obtained by the determination process of the first free form surface The coordinate of discrete point on the corresponding relation of mesh point on face, and first free form surface, we are by first free form surface Eye point of the discrete point as light, the emergent ray of discrete point is on second free form surface on first free form surface The incident ray of point, discrete point and the line of corresponding points on objective plane are emergent ray on second free form surface, so We can obtain the incident ray of second free form surface and the corresponding relation of emergent ray.In order to calculate on free form surface Coordinate a little, first set the value of a starting point and fixed angles theta, that is, determine the thickness of lens centre, after initial point determines, The normal vector of initial point is obtained by the law of refraction, tangent line is tried to achieve using this normal vector, by the friendship for asking tangent line and incident ray Point obtains the coordinate of second point on curve, by this iterative calculation formula, can calculate other points on curve successively, thus It can obtain a complete free curve；By fixing different angle θ value respectively, and change angleValue, just obtain free song A series of free curves on the exit facet of face, second free form surface of lens is finally made up of these free curves.
Compared with prior art, the utility model has the following advantages that and technique effect：This pair of free-form surface lens structure Simply, efficiency of light energy utilization height, simple and stable structure, be easy to assembling, cost is low, long lifespan, luminous intensity distribution performance are good, meet GB25991- 2010 light distribution requirements, solve that dispersion present in existing automobile lens illumination technology is serious, colour temperature is higher and light efficiency utilizes The low defect of rate.
Brief description of the drawings
Fig. 1 is the profile of double free-form surface lens in embodiment
Fig. 2 is the structure chart of double free-form surface lens in embodiment
Fig. 3 is target area mesh generation schematic diagram on illuminated area in embodiment.
Fig. 4 is the luminous intensity distribution principle schematic of LED car high beam in embodiment.
Fig. 5 is double free-form surface lens plane of incidence luminous intensity distribution figures in embodiment.
Fig. 6 is double free-form surface lens exit facet luminous intensity distribution figures in embodiment.
Embodiment
Below in conjunction with accompanying drawing and example, specific implementation of the present utility model is described further, but it is of the present utility model Implement and protect not limited to this.
Double optical lens with free curved surface are made of clear material, and transparent material can be PC or PMMA or optical glass.Lens Upper and lower surfaces be double free form surfaces, transition face between the two be the face of cylinder, and the face of cylinder easily can be connected with support, just Just the positioning of lens, and do not interfere with optical effect.
Under identical size, double free-form surface lens are higher than the light efficiency utilization rate of simple lens, and the Fresnel damage of lens Lose lower, should be double free form surface planes of incidence is free form surface, rather than the plane of single free form surface, so utilizing angle in light source When identical, the length of curved surface is shorter, and when size is identical, the light-use angle of double free-form surface lens is bigger.
Double free-form surface lens can make the light colour temperature stabilization of transmission, and hot spot is uniform, and the contour structures of lens are concave-convex, First free form surface is recessed to lens interior, and second free form surface convex, whole lens are regarded as by spherical lens The balsaming lens that forms of positive and negative lens combination, balsaming lens can be very good to correct aberration, so passing through double freedom in light Be not in obvious dispersion during curved surface, the colour temperature of hot spot can be stablized well, hot spot is not in obvious partially blue or partially yellow Phenomenon, and two free form surfaces are involved in light correction, can accomplish the rising angle of chip and the mapping relations of objective plane It is more accurate, make that illuminance setting value on illuminated area and actual illumination value are closer, and hot spot is evenly.
The position relationship of LED light source and double optical lens with free curved surface is as follows：The plane of incidence of lens is located at the hair of LED light source Before smooth surface, the center of the center of LED light source light-emitting area and two free form surfaces is point-blank.The light that LED light source is sent During by lens, reflected respectively in the free form surface plane of incidence of lens bottom and the free form surface exit facet of lensed tip, Finally it is emitted on illuminated area.The plane of incidence is free form surface, and first free form surface shape is defined below；Sent out with LED light source The central point of smooth surface is that origin of coordinates O establishes rectangular coordinate system, and plane where LED light-emitting areas be XOY plane, mistake origin and with The vertical axle of XOY plane is Z axis, and wherein XOZ planes are horizontal plane.It is o with Z axis intersection point (distance between point O and point o is 25m) And parallel to the plane of XOY plane be illuminated area xoy planes, point o is the central point of illuminated area；Photic-energy transfer on illuminated area is The superposition that is lighted by multiple LED light sources is realized, due to the spacing facing light sources between LED light source to illuminated area apart from right and wrong It is often small, calculated to simplify, photic-energy transfer can be calculated by a LED light source, be directly obtained using multiple proportion Total photic-energy transfer.First according to dazzle light on illuminated area Illumination Distribution feature, the illumination region on illuminated area is set The elliptical region being set to centered on illuminated area central point, mesh generation then is carried out to the elliptical region, then with energy Amount law of conservation divides to light source solid angle, is finally to obtain the freely song of lens by numerical computations with the law of refraction Face, free form surface shape are specifically defined below：Target illumination identity distance LED distance is d=25m first, and the central point of chip is O, the plane where chip are XOY plane, and the central point where illuminated area is o, and the plane where illuminated area is xoy planes, if Its fixed target illumination field is ellipse, and oval major semiaxis is a, semi-minor axis b；Annular division is carried out to the coordinate of illuminated area, Oval major semiaxis a and semi-minor axis b are divided into n parts, a respectively firstiAnd biI-th part of major semiaxis a and short is represented after decile respectively I-th part of semiaxis b, wherein 0 ＜ i≤n；Then centered on illuminated area central point, respectively with aiFor major semiaxis, biFor semi-minor axis Ellipse is drawn, then illumination region is divided into n part vesica piscises region；Angle α is divided into m parts, 0≤α≤360 °, α againjRepresent α jth part after decile；On illuminated area, using point o as end points, the angle with X-axis is αjBeam will be per a vesica piscis Region is sub-divided into m parts；So, target illumination field is divided into m × n sub-box, the energy in each sub-box For：
In formula, α be illuminated area on any point and point o line and x-axis angle, EkiBrightness value is represented, according to state GB25991-2010 requirements are marked, therefore it is default brightness value to set constant E, with reference to variable kiFor controlling designated area on illuminated area Brightness value size, according to, to the difference of different zones brightness value, setting suitable coefficient in national standard, make light spot illumination value Standard requirement can be met, make hot spot uniform again, brightness value transitions smooth between different zones, demarcated without obvious light and shade.Press The light distribution of the total light flux and chip of chip, the light-use angle of chip is set, then luminous energy solid angle is decomposed into right angle Coordinate system angle, whereinFor emergent ray and the angle of Z axis positive direction, θ is projection and X of the emergent ray on XOY plane The angle of axle, then again by angular divisions, i.e., angleIt is divided into n parts,RepresentI-th part,With aiAnd biIt is corresponding；Angle θ It is divided into m parts, θjRepresent θ jth part, θjWith αjIt is corresponding；Before reflection, the luminous flux per a angle inner light source is：
According to conservation of energy principle, can obtain
Eb=Ed
By two formula above, it is corresponding that each lattice point on target illumination face can be calculatedAnd θj, i.e. the rising angle of light With the mapping relations of objective plane.The angle correction ratio of first free form surface and second free form surface is set as U:V, that is, set Fixed two respective correction angles of free form surface, the angle of the emergent ray after first free form surface can be drawn, such as The angle for knowing incident ray isThen the angle of emergent ray isCoefficient C calculation formula is
C=V/ (U+V)
So we can calculate the incident ray of first free form surface and the corresponding relation of emergent ray.In order to count Calculate on free form surface coordinate a little, first set the value of a starting point and fixed angles theta, that is, determine chip center's point with thoroughly The distance of mirror bottom center point, after initial point determines, the normal vector of initial point is obtained by the law of refraction, is asked using this normal vector Tangent line is obtained, by asking the intersection point of tangent line and incident ray to obtain the coordinate of second point on curve, the vector form of the law of refraction It is represented by：
Wherein,For incident ray unit vector,For emergent ray unit vector,For unit normal vector, n is Mirror refractive index；By this iterative calculation formula, other points on curve can be calculated successively, it can thus be concluded that to one it is complete from By curve；By fixing different angle θ value respectively, and change angleValue, just obtain a series of on free form surface exit facet Free curve, first free form surface of lens is finally made up of these free curves.The exit facet of lens is also free form surface, The shape of second free form surface is defined below；The corresponding relation of mesh point on the rising angle and illuminated area of chip can be obtained, with And on first free form surface discrete point coordinate, our outgoing using the discrete point on first free form surface as light Point, the emergent ray of discrete point is the incident ray put on second free form surface on first free form surface, second from Line by corresponding points on discrete point on curved surface and objective plane is emergent ray, and so we can obtain second freedom The incident ray of curved surface and the corresponding relation of emergent ray.In order to calculate on free form surface coordinate a little, first set one The value of individual starting point and fixed angles theta, that is, after determining that the thickness of lens centre, initial point determine, initial point is obtained by the law of refraction Normal vector, tangent line is tried to achieve using this normal vector, by asking the intersection point of tangent line and incident ray to obtain second point on curve Coordinate, by this iterative calculation formula, other points on curve can be calculated successively, it can thus be concluded that to one it is complete freely Curve；By fixing different angle θ value respectively, and change angleValue, just obtain on free form surface exit facet it is a series of from By curve, second free form surface of lens is finally made up of these free curves.
As depicted in figs. 1 and 2, double free-form surface lens are made up of two free form surfaces of A, B and a cylindrical side；According to The light distribution requirements and Illumination Distribution of national standard, illuminated area region is set as the elliptical region centered on illuminated area central point, Mesh generation is carried out to it, as shown in Figure 3；Then according to the conservation of energy, the lighting angle of chip is calculated with illuminating surface grids Corresponding relation, as shown in Figure 4；Set two free form surfaces angle correction ratio, calculate C values, by C values size with light The corresponding relation of angle and illuminated area, using formula is iterated to calculate, the shape of first free form surface is calculated, as shown in Figure 5； Starting point using the discrete point on first free form surface as second free form surface incident ray, as shown in fig. 6, required Corresponding mesh point is emergent ray on discrete point and illuminated area on two free form surfaces, using iterating to calculate formula Draw the point on second free form surface；Point on two resulting free form surfaces is imported in three-dimensional software and modeled, you can Obtain lens model.

Claims (8)

  1. A kind of 1. double optical lens with free curved surface of LED car high beam, it is characterised in that：Lens upper and lower surfaces are all freely Curved surface, first free form surface is the plane of incidence, replaces the plane of incidence in single free form surface, and second free form surface is outgoing Face, the light sent from chip reach on objective plane by the correction of two free form surfaces, and each free form surface can be flexible Light is corrected, make illumination spot more uniform, and the outward appearance of curved surface is round and smooth.
  2. A kind of 2. double optical lens with free curved surface of LED car high beam according to claim 1, it is characterised in that：It is double The contour structures of free-form surface lens are concave-convex, and first free form surface is recessed to lens interior, and second free form surface is outside Convex, whole lens are the balsaming lens formed by the positive and negative lens combination in spherical lens.
  3. A kind of 3. double optical lens with free curved surface of LED car high beam according to claim 1, it is characterised in that： Under identical size, double free-form surface lens are higher than the light efficiency utilization rate of simple lens, and the Fresnel reflection losses of lens are lower, it is double from It is free form surface by the curved surface plane of incidence, rather than the plane of single free form surface, so when light source is identical using angle, the length of curved surface Spend shorter, and when size is identical, the light-use angle of double free-form surface lens is bigger.
  4. A kind of 4. double optical lens with free curved surface of LED car high beam according to claim 1, it is characterised in that：It is double Free-form surface lens can make that the light colour temperature of transmission is stable, and hot spot is uniform, and the contour structures of lens are concave-convex, first freedom Curved surface is recessed to lens interior, second free form surface convex, whole lens be by the positive and negative lens combination in spherical lens and Into balsaming lens, be not in obvious dispersion so when light is by double free form surfaces, hot spot can be stablized well Colour temperature, hot spot is not in obvious partially blue or partially yellow phenomenon, and two free form surfaces are involved in light correction, accomplish chip The mapping relations of rising angle and objective plane are more accurate, the illuminance setting value on illuminated area is more connect with actual illumination value Closely, hot spot is evenly.
  5. A kind of 5. double optical lens with free curved surface of LED car high beam according to claim 1, it is characterised in that：Thoroughly The upper and lower surfaces of mirror are double free form surfaces, and transition face between the two is the face of cylinder, and the face of cylinder easily can be connected with support, Facilitate the positioning of lens, and do not interfere with optical effect.
  6. A kind of 6. double optical lens with free curved surface of LED car high beam according to claim 1, it is characterised in that：Root The Spreading requirements of auto lamp high beam brightness value, setting are being shone using the chip light-emitting angle of more wide-angles according in national standard An elliptical region centered on central point is determined on bright face, elliptical region is subjected to annular division, i.e., by area elliptica Domain is divided into n part concentration ellipse rings, sets the brightness value in oval ring region, calculates the rising angle and target illumination of chip The mapping relations in face, it is to draw the correction angle of the light sent from chip by mapping relations, presets first freely song Face and the angle correction ratio of second free form surface, according to angle correction ratio, it may be determined that the first free form surface and the second free song The respective correction angle in face, you can determine the emergent ray of two free form surfaces, first is calculated using formula is iterated to calculate Point on free form surface, by the use of the point on first free form surface as the starting point of incident ray, then calculated with iterative formula Point on second free form surface, the point on two curved surfaces is imported into three-dimensional software, you can obtain lens body；
    The plane of incidence is free form surface, and first free form surface shape is defined below；Using the central point of LED light source light-emitting area as seat Mark origin O establishes rectangular coordinate system, and plane where LED light-emitting areas is XOY plane, and it is Z to cross origin and the axle vertical with XOY plane Axle, wherein XOZ planes are horizontal plane, are o with Z axis intersection point, and are illuminated area xoy planes parallel to the plane of XOY plane, point o For the central point of illuminated area；Photic-energy transfer on illuminated area is to be superimposed by what multiple LED light sources lighted to realize；Basis first Dazzle light Illumination Distribution feature on illuminated area, the illumination region on illuminated area is set as using illuminated area central point in The elliptical region of the heart, mesh generation then is carried out to the elliptical region, then with law of conservation of energy to light source solid angle Divided, finally obtain the free form surface of lens by numerical computations with the law of refraction, free form surface shape is specifically true It is fixed as follows：Target illumination identity distance LED distance is d=25m first, and the central point of chip is O, and the plane where chip is XOY Plane, the central point where illuminated area are o, and the plane where illuminated area is xoy planes, and it is oval to set its target illumination field Shape, oval major semiaxis are a, semi-minor axis b；Annular division is carried out to the coordinate of illuminated area, first oval major semiaxis a and short by half Axle b is divided into n parts, a respectivelyiAnd biI-th part of i-th part of major semiaxis a and semi-minor axis b after decile is represented respectively, wherein 0 ＜ i≤ n；Then centered on illuminated area central point, respectively with aiFor major semiaxis, biEllipse is drawn for semi-minor axis, then is divided illumination region For n part vesica piscises region；Angle α is divided into m parts, 0≤α≤360 °, α againjα jth part after expression decile；In illuminated area On, using point o as end points, the angle with X-axis is αjBeam will be sub-divided into m parts per a vesica piscis region；So, Target illumination field is divided into m × n sub-box, and the energy in each sub-box is：
    <mrow> <msub> <mi>E</mi> <mi>b</mi> </msub> <mo>=</mo> <mi>E</mi> <mo>&amp;CenterDot;</mo> <msub> <mi>k</mi> <mi>i</mi> </msub> <mo>&amp;CenterDot;</mo> <msubsup> <mo>&amp;Integral;</mo> <msub> <mi>&amp;alpha;</mi> <mrow> <mi>j</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> <msub> <mi>&amp;alpha;</mi> <mi>j</mi> </msub> </msubsup> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mo>&amp;CenterDot;</mo> <mrow> <mo>(</mo> <mfrac> <mrow> <msup> <msub> <mi>a</mi> <mi>i</mi> </msub> <mn>2</mn> </msup> <mo>&amp;CenterDot;</mo> <msup> <msub> <mi>b</mi> <mi>i</mi> </msub> <mn>2</mn> </msup> </mrow> <mrow> <msup> <mi>cos</mi> <mn>2</mn> </msup> <mi>&amp;alpha;</mi> <mo>&amp;CenterDot;</mo> <msup> <msub> <mi>b</mi> <mi>i</mi> </msub> <mn>2</mn> </msup> <mo>+</mo> <msup> <mi>sin</mi> <mn>2</mn> </msup> <mi>&amp;alpha;</mi> <mo>&amp;CenterDot;</mo> <msup> <msub> <mi>a</mi> <mi>i</mi> </msub> <mn>2</mn> </msup> </mrow> </mfrac> <mo>-</mo> <mfrac> <mrow> <msup> <msub> <mi>a</mi> <mrow> <mi>i</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> <mn>2</mn> </msup> <mo>&amp;CenterDot;</mo> <msup> <msub> <mi>b</mi> <mrow> <mi>i</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> <mn>2</mn> </msup> </mrow> <mrow> <msup> <mi>cos</mi> <mn>2</mn> </msup> <mi>&amp;alpha;</mi> <mo>&amp;CenterDot;</mo> <msup> <msub> <mi>b</mi> <mrow> <mi>i</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> <mn>2</mn> </msup> <mo>+</mo> <msup> <mi>sin</mi> <mn>2</mn> </msup> <mi>&amp;alpha;</mi> <mo>&amp;CenterDot;</mo> <msup> <msub> <mi>a</mi> <mrow> <mi>i</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> <mn>2</mn> </msup> </mrow> </mfrac> <mo>)</mo> </mrow> <mi>d</mi> <mi>&amp;alpha;</mi> </mrow>
    In formula, α be illuminated area on any point and point o line and x-axis angle, EkiBrightness value is represented, according to national standard GB25991-2010 requirements, therefore it is default brightness value to set constant E, with reference to variable kiFor controlling designated area on illuminated area Brightness value size, according to, to the difference of different zones brightness value, setting suitable coefficient in national standard, made light spot illumination value both Standard requirement can be met, make hot spot uniform again, brightness value transitions smooth between different zones, demarcated without obvious light and shade；By core The light distribution of the total light flux and chip of piece, the light-use angle of chip is set, then luminous energy solid angle is decomposed into right angle and sat Mark system angle, whereinFor emergent ray and the angle of Z axis positive direction, θ is projection and X-axis of the emergent ray on XOY plane Angle, then again by angular divisions, i.e., angleIt is divided into n parts,RepresentI-th part,With aiAnd biIt is corresponding；Angle θ points Into m parts, θjRepresent θ jth part, θjWith αjIt is corresponding；Before reflection, the luminous flux per a angle inner light source is：
    <mrow> <msub> <mi>E</mi> <mi>d</mi> </msub> <mo>=</mo> <msubsup> <mo>&amp;Integral;</mo> <msub> <mi>&amp;theta;</mi> <mrow> <mi>j</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> <msub> <mi>&amp;theta;</mi> <mi>j</mi> </msub> </msubsup> <msubsup> <mo>&amp;Integral;</mo> <msub> <mi>&amp;phi;</mi> <mrow> <mi>i</mi> <mo>-</mo> <mn>1</mn> </mrow> </msub> <msub> <mi>&amp;phi;</mi> <mi>i</mi> </msub> </msubsup> <msub> <mi>I</mi> <mn>0</mn> </msub> <mo>&amp;CenterDot;</mo> <mi>c</mi> <mi>o</mi> <mi>s</mi> <mi>&amp;phi;</mi> <mo>&amp;CenterDot;</mo> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mi>&amp;phi;</mi> <mi>d</mi> <mi>&amp;phi;</mi> <mi>d</mi> <mi>&amp;theta;</mi> <mo>,</mo> </mrow>
    According to conservation of energy principle, can obtain
    Eb=Ed,
    By two formula above, it is corresponding to calculate each lattice point on target illumination faceAnd θj, i.e. the rising angle and target of light The mapping relations of plane；The angle correction ratio of first free form surface and second free form surface is set as U:V, that is, set two The respective correction angle of free form surface, the angle of the emergent ray after first free form surface, such as known incident can be drawn The angle of light isThen the angle of emergent ray isCoefficient C calculation formula is
    C=V/ (U+V)
    And then draw the incident ray of first free form surface and the corresponding relation of emergent ray；In order to calculate on free form surface Coordinate a little, first set the value of a starting point and fixed angles theta, that is, determine chip center's point and lens base central point Distance, after initial point determines, the normal vector of initial point is obtained by the law of refraction, tangent line is tried to achieve using this normal vector, by asking The intersection point of tangent line and incident ray obtains the coordinate of second point on curve, and the vector form of the law of refraction is represented by：
    Wherein,For incident ray unit vector,For emergent ray unit vector,For unit normal vector, n rolls over for lens Penetrate rate；By this iterative calculation formula, other points on curve can be calculated successively, it can thus be concluded that complete freely bent to one Line；By fixing different angle θ value respectively, and change angleValue, just obtain a series of freedom on free form surface exit facet Curve, first free form surface of lens is finally made up of these free curves.
  7. A kind of 7. double optical lens with free curved surface of LED car high beam according to claim 6, it is characterised in that：
    Distance between point O and point o is 25m.
  8. A kind of 8. double optical lens with free curved surface of LED car high beam according to claim 6, it is characterised in that：Thoroughly The exit facet of mirror is also free form surface, and the shape of second free form surface is defined below；By first free form surface shape really Determine discrete on the corresponding relation of mesh point on the rising angle and illuminated area for the chip that process obtains, and first free form surface The coordinate of point, the eye point using the discrete point on first free form surface as light, discrete point on first free form surface Emergent ray is the incident ray put on second free form surface, on second free form surface discrete point with it is right on objective plane The line that should be put is emergent ray, and then can obtain second incident ray of free form surface and correspondingly closing for emergent ray System；In order to calculate on free form surface coordinate a little, first set the value of a starting point and fixed angles theta, that is, determine lens The thickness at center, after initial point determines, the normal vector of initial point is obtained by the law of refraction, tangent line is tried to achieve using this normal vector, , can be successively by this iterative calculation formula by asking the intersection point of tangent line and incident ray to obtain the coordinate of second point on curve Other points on curve are calculated, it can thus be concluded that to a complete free curve；By fixing different angle θ value respectively, And change angleValue, just obtain a series of free curves on free form surface exit facet, be finally made up of these free curves Second free form surface of mirror.
CN201720888533.7U 2017-07-21 2017-07-21 A kind of double optical lens with free curved surface of LED car high beam Active CN207034989U (en)

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Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN107687623A (en) * 2017-07-21 2018-02-13 华南理工大学 Double optical lens with free curved surface for LED car high beam
WO2022057519A1 (en) * 2020-09-16 2022-03-24 常州星宇车灯股份有限公司 Design method for hyperboloid collimating lens for vehicle lamps

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN107687623A (en) * 2017-07-21 2018-02-13 华南理工大学 Double optical lens with free curved surface for LED car high beam
WO2022057519A1 (en) * 2020-09-16 2022-03-24 常州星宇车灯股份有限公司 Design method for hyperboloid collimating lens for vehicle lamps

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