CN104317053A - Free-form surface lens construction method based on lighting of LED desk lamp - Google Patents
Free-form surface lens construction method based on lighting of LED desk lamp Download PDFInfo
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- CN104317053A CN104317053A CN201410672094.7A CN201410672094A CN104317053A CN 104317053 A CN104317053 A CN 104317053A CN 201410672094 A CN201410672094 A CN 201410672094A CN 104317053 A CN104317053 A CN 104317053A
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- form surface
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- desk lamp
- led desk
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B27/00—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
- G02B27/0012—Optical design, e.g. procedures, algorithms, optimisation routines
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- General Physics & Mathematics (AREA)
- Optics & Photonics (AREA)
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Abstract
The invention provides a free-form surface lens construction method based on lighting of an LED desk lamp. According to the method, the mode that the free-form surface lens of the LED desk lamp is obtained in a three-dimensional space is simplified into the mode that the generatrix 1 of the free-form surface of the lens is obtained in a two-dimensional space, coordinates are established with the light source of the LED desk lamp as the origin, the relation between an incident light vector, an emergent light vector and a normal vector is listed according to the Snell law, and an equation is established; an equation can be listed because the radiation flux of the light source of the LED desk lamp is equal to the luminous flux received by a target lighting face, light spots formed on the target lighting face in calculation are even round light spots, and therefore the illuminance E is the same, and the relation between the known coordinates on the target lighting face and the lens free-form surface coordinates can be established. According to the coordinates on the known target face, the generatrix 1 of the free-form surface of the lens is obtained through iteration solution with a numerical method, the generatrix 1 is subjected to data fitting and rotates around an axis so that the free-form surface can be obtained, and the free-form surface is subjected to closed materialization so that the lens can be obtained. Through the method, the effective utilization rate of light and the uniformity ratio of the illuminance are increased.
Description
Technical field
The present invention relates to the free-form surface lens of a kind of LED desk lamp illumination, the light source being applied to LED desk lamp is great power LED, can improve the effective rate of utilization and uniformity of illuminance that light source emits beam, belong to LED illumination applied technical field by free-form surface lens.
Background technology
LED desk lamp uses LED (Light Emitting Diode) as the desk lamp of light source exactly.LED desk lamp is applicable to read, write, office or the study illumination place such as to read and make comments, and ensures that perform region has good visual environment, to improve the efficiency of office and study.If the illumination of field of illumination and uniformity coefficient poor, the vision of people can be made easily tired, and affect work efficiency and eyesight, thus should focus on especially throw light on quality.Compared with traditional light source, LED illumination has the remarkable advantages such as energy-saving and environmental protection, life-span length, safety, volume be little.Along with the light efficiency of great power LED promotes, the light efficiency of power-type LED closely reaches 100lm/W to 161lm/W, utilizes LED to become possibility as the lighting source of desk lamp.
LED has very large potential as the light source of desk lamp, because it uses direct current without sudden strain of a muscle frequency, and is efficient electric light sources.But LED is not having in rational luminous intensity distribution situation, it is excessively bright that the hot spot being irradiated to target face there will be centre, and the non-uniform illumination situation that surrounding is dimmed.This just needs design optical device to come LED desk lamp light source light distribution.Design optical device comprises lens and reflector, because the former is conducive to the installation of LED light source and the design of radiator structure, if and use the latter, LED light source itself and radiator structure thereof block reflection ray existence and affect the irradiation of light in field of illumination and distribute.Therefore design efficient free-form surface lens, make it have and better control emergent light angle and good illumination and uniformity levels thereof.
Summary of the invention
For above deficiency of the prior art, the object of the present invention is to provide a kind of light utilization high, illuminated uniform-illumination, technical scheme of the present invention is as follows: a kind of free-form surface lens building method based on LED desk lamp illumination, and it comprises the following steps:
101, take LED light source as the true origin of three-dimensional system of coordinate, set up three-dimensional system of coordinate, and to measure LED light source to the vertical range in target illumination face be h, LED light source outside surrounds free-form surface lens, supposes that the coordinate on lens free form surface is
wherein θ is that light projects and the angle of x-axis positive dirction on xoy face,
for the angle of light and z-axis positive dirction,
be when angle
time, a point is to the distance of initial point; Point b (x, y, z) on target illumination face, the unit vector of emergent ray, incident ray is respectively Out, In and section normal vector is N, and free-form surface lens refractive index is set to n, and air refraction is set to 1;
102, establish the lens free form surface bus l of LED desk lamp, three dimensions be reduced to two-dimensional space xoz or yoz, two-dimensional space xoz or yoz plane solve this lens bus l,, now θ is
k is 0,1,2
103, to get k be 0, θ is 0, and two-dimensional space is xoz, sets up vector relations, lists vector relations equation by Si Nieer Snell refraction law;
104, list equation according to the bright luminous flux received of LED light source radiation flux and target is equal, be then that uniform-illumination and the E of the circular light spot of d is equal according to the radius on target illumination face, LED light source elects lambert's body as, its
the light intensity of angular direction is
lower equation can be able to,
Therefore known,
Obtain equation,
105, adopt with the differential equation in numerical methods of solving step 104
runge-Kutta method is adopted to carry out discretely solving the series of values ρ obtained
1, ρ
2... ρ
n;
106, step 105 solves the series of values ρ obtained
1, ρ
2... ρ
n, be the distance of the point on the free form surface bus l of lens to initial point, the point on bus l is converted to rectangular coordinate is,
107, will the free form surface bus l data importing modeling software of lens be obtained, then it will be rotated the free form surface that can obtain lens around central shaft, be LED desk lamp free-form surface lens.
Further, the Runge-Kutta method in step 105 is in interval
the slope weighted mean of upper use four points, as the approximate value of average gradient, forms the classical Runge-kutta formula of quadravalence like this,
Wherein, n=0,1,2 ... N-1, ρ (0)=ρ
0, can in the hope of ρ
1, ρ
2... ρ
n.
Advantage of the present invention and beneficial effect as follows:
In the present invention, the light source of described LED desk lamp is positioned at true origin, and back to back is lens.Illumination target face forms the circular light spot of uniform-illumination, so lens can think Rotational Symmetry, its axis of symmetry is through the central point of LED light source and circular light spot.Because lens are rotational symmetric, so can be reduced to solving three dimensions free form surface in two-dimensional space the free form surface bus asking lens, simplify method for designing.
Free-form surface lens application LED desk lamp is thrown light on by the present invention, the effective rate of utilization of the light of LED desk lamp can be improved, solve curved surface by equation, more accurately can control the distribution of light in illumination target region, illumination and the uniformity coefficient thereof in illumination target region can be improved.
Accompanying drawing explanation
Fig. 1 is LED desk lamp light source, lens free form surface, target illumination face schematic three dimensional views;
Fig. 2 is incidence, emergent ray and normal relation schematic diagram;
Fig. 3 is LED desk lamp free-form surface lens bus data fitting;
Fig. 4 is LED desk lamp free-form surface lens bus rotary body;
Fig. 5 is LED desk lamp free-form surface lens entity;
Fig. 6 is embodiment LED desk lamp free-form surface lens;
Fig. 7 is embodiment LED desk lamp free-form surface lens entity;
Fig. 8 is the Illumination Distribution figure on LED desk lamp target illumination face;
Fig. 9 is the distribution curve of illumination figure on LED desk lamp target illumination face.
Figure 10 is the process flow diagram of the preferred embodiment of the present invention.
Embodiment
The invention will be further elaborated to provide an infinite embodiment below in conjunction with accompanying drawing.But should be appreciated that, these describe just example, and do not really want to limit the scope of the invention.In addition, in the following description, the description to known features and technology is eliminated, to avoid unnecessarily obscuring concept of the present invention.
The present invention realizes the LED desk lamp free-form surface lens of the circular light spot of Uniform Illumination by solving equation, its specific design main points are as follows:
(1) LED desk lamp forms uniform circular light spot on target illumination face, is Rotational Symmetry.The LED light source characteristics of luminescence is around light-emitting axis Rotational Symmetry.LED desk lamp free-form surface lens is also Rotational Symmetry, therefore asks the equation of this lens free form surface bus.
(2) set up three-dimensional system of coordinate, LED light source overlaps with initial point, and the coordinate on lens free form surface is set to
wherein θ is that light projects and the angle of x-axis positive dirction on xoy face,
for the angle of light and z-axis positive dirction,
be when angle
time, a point is to the distance of initial point.Point b (x, y, z) on target illumination face, the unit vector of emergent ray, incident ray is respectively Out, In and section normal vector is N.Free-form surface lens refractive index is set to n, and air refraction is set to 1.
(3) the lens free form surface bus l of LED desk lamp in order to ask, these lens are Rotational Symmetry again, and can simplify three dimensions is two-dimensional space, and can be reduced on xoz or yoz two dimensional surface and solve this lens bus l, now θ is
k is 0,1,2 ...
(4) to get k be 0, θ is 0, and two-dimensional space is xoz, sets up vector relations.From Snell law,
[1+n
2-2n(Out·In)]
1/2·N＝Out-nIn (1)
Wherein,
Out＝(ob-oa)/|ob-oa| (3)
ob＝(x,z) (4)
When free form surface is Rotational Symmetry, when
during for certain value, ρ (θ) is identical in the value of 0≤θ≤2 π scope, does not namely change with θ, ρ
θ=0.
[1+n
2-2n(Out·In)]
1/2·N
x＝Out
x-nIn
x (7)
[1+n
2-2n(Out·In)]
1/2·N
z＝Out
z-nIn
z (8)
N
x/N
z＝(Out
x-nIn
x)/(Out
z-nIn
z) (9)
(5) list equation according to the bright luminous flux received of LED light source radiation flux and target is equal, and the radius on target illumination face is the uniform-illumination of the circular light spot of d, namely E is equal.LED light source is generally lambert's body, its
the light intensity of angular direction is
so lower equation can be able to,
Therefore known,
Thus obtain equation by (11), (14),
(6) for this differential equation of numerical methods of solving, Runge-Kutta (Runge-Kutta) method is adopted to carry out discrete.First will
be divided into a lot of discrete points
and correspond to (ρ
0, ρ
1, ρ
2... ρ
n).
n＝0,1,2,...N。Work as n=0,
time, ρ (0)=ρ
0, namely the centre-height of free-form surface lens is of a size of ρ
0.The linear relationship composite construction approximate formula of the functional value on some points of consideration function, both avoided asking local derviation, has been improved the precision calculated, the basic thought of Here it is Runge-Kutta methods.High-precision needs are carried in order to meet, can in interval
the slope weighted mean of upper use four points, as the approximate value of average gradient, forms the classical Runge-kutta formula of quadravalence like this,
Wherein, n=0,1,2 ... N-1, ρ (0)=ρ
0, can in the hope of ρ
1, ρ
2... ρ
n.
(7) the series of values ρ obtained
1, ρ
2... ρ
n, be the distance of the point on the free form surface bus l of lens to initial point, the point on bus l is converted to rectangular coordinate is,
(8) will the free form surface bus l data importing modeling software of lens be obtained, then it will be rotated the free form surface that can obtain lens around central shaft, and then its this curved surface hypostazation will be become free-form surface lens, be LED desk lamp free-form surface lens.
Present invention employs the free form surface equation of numerical methods of solving LED desk lamp lens, it has flexible design, and the cycle is short, accurately feature.In an embodiment in the present invention, LED desk lamp light source adopts lambert's body LED of 1mm × 1mm light-emitting area, and the LED light effect of its be the common simple grain of existing market be 1W is the commodity of 100lm/W.Have employed LED desk lamp light source in design to target illumination face vertical range is 400mm, and target illumination scope is the border circular areas of radius 500mm, and that lens adopt is PMMA.Due to the packed protruding hemisphere of LED luminous component, in order to can well be arranged on LED light source by free-form surface lens, cutting out radius at the place of bottom centre of lens be 3mm, the hemisphere that the centre of sphere overlaps with lens bottom centre.From Fig. 8; known in Fig. 9; because light is redistributed by LED free-form surface lens; make light as far as possible at target illumination EDS maps, and uniformity of illuminance is greatly improved, form bright uniform circular light spot; thus make people have more comfortable visual environment; good uniformity coefficient makes people when using LED desk lamp, not easily causes visual fatigue, and then protects eye health and increase work efficiency.
These embodiments are interpreted as only being not used in for illustration of the present invention limiting the scope of the invention above.After the content of reading record of the present invention, technician can make various changes or modifications the present invention, and these equivalence changes and modification fall into the scope of the claims in the present invention equally.
Claims (2)
1., based on a free-form surface lens building method for LED desk lamp illumination, it is characterized in that: comprise the following steps:
101, take LED light source as the true origin of three-dimensional system of coordinate, set up three-dimensional system of coordinate, and to measure LED light source to the vertical range in target illumination face be h, LED light source outside surrounds free-form surface lens, supposes that the coordinate on lens free form surface is
wherein θ is that light projects and the angle of x-axis positive dirction on xoy face,
for the angle of light and z-axis positive dirction,
be when angle
time, a point is to the distance of initial point; Point b (x, y, z) on target illumination face, the unit vector of emergent ray, incident ray is respectively Out, In and section normal vector is N, and free-form surface lens refractive index is set to n, and air refraction is set to 1;
102, establish the lens free form surface bus l of LED desk lamp, three dimensions be reduced to two-dimensional space xoz or yoz, two-dimensional space xoz or yoz plane solve this lens bus l,, now θ is
k is 0,1,2
103, to get k be 0, θ is 0, and two-dimensional space is xoz, sets up vector relations, lists vector relations equation by Si Nieer Snell refraction law;
104, list equation according to the bright luminous flux received of LED light source radiation flux and target is equal, be then that uniform-illumination and the E of the circular light spot of d is equal according to the radius on target illumination face, LED light source elects lambert's body as, its
the light intensity of angular direction is
lower equation can be able to,
Therefore known,
Obtain equation,
105, adopt with the differential equation in numerical methods of solving step 104
runge-Kutta method is adopted to carry out discretely solving the series of values ρ obtained
1, ρ
2... ρ
n;
106, step 105 solves the series of values ρ obtained
1, ρ
2... ρ
n, be the distance of the point on the free form surface bus l of lens to initial point, the point on bus l is converted to rectangular coordinate is,
107, will the free form surface bus l data importing modeling software of lens be obtained, then it will be rotated the free form surface that can obtain lens around central shaft, be LED desk lamp free-form surface lens.
2. the free-form surface lens building method based on LED desk lamp illumination according to claim 1, is characterized in that: the Runge-Kutta method in step 105 is in interval
the slope weighted mean of upper use four points, as the approximate value of average gradient, forms the classical Runge-kutta formula of quadravalence like this,
Wherein, n=0,1,2 ... N-1, ρ (0)=ρ
0, can in the hope of ρ
1, ρ
2... ρ
n.
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| CN107191861A (en) * | 2017-07-21 | 2017-09-22 | 中山市华南理工大学现代产业技术研究院 | A kind of double free-form surface lens of uniform color temperature |
| CN108549174A (en) * | 2018-04-11 | 2018-09-18 | 大连工业大学 | Generate the LED downward back lighting systems of high evenness hot spot |
| CN108613136A (en) * | 2018-04-09 | 2018-10-02 | 深圳民爆光电技术有限公司 | A kind of control method and system generating free-form surface lens based on energy distribution method |
| CN108870318A (en) * | 2018-05-21 | 2018-11-23 | 广东工业大学 | A kind of LED free-form surface lens design method |
| CN110543014A (en) * | 2019-08-15 | 2019-12-06 | 中山市华南理工大学现代产业技术研究院 | Design method of double-free-form-surface lens for short-distance illumination of LED (light emitting diode) surface light source |
| CN111308593A (en) * | 2020-03-30 | 2020-06-19 | 南京理工大学 | Ultra-thin reflective free-form surface design method for mobile phone lens |
| CN112393136A (en) * | 2020-11-30 | 2021-02-23 | 浙江光锥科技有限公司 | Method for generating 60-degree beam angle lens structure |
| CN112449462A (en) * | 2020-11-20 | 2021-03-05 | 横店集团得邦照明股份有限公司 | Operating room lighting system based on multi-curved-surface LED |
| CN112946906A (en) * | 2021-03-26 | 2021-06-11 | 暨南大学 | Space light intensity homogenizing system for DMD projection lithography and design method thereof |
| CN113419342A (en) * | 2021-07-01 | 2021-09-21 | 重庆邮电大学 | Free illumination optical design method based on deep learning |
| CN116338942A (en) * | 2021-12-24 | 2023-06-27 | 广州奕至家居科技有限公司 | Optical device construction method |
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Cited By (18)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN107062157A (en) * | 2017-05-31 | 2017-08-18 | 杭州光锥科技有限公司 | Underground lamp lens, light emitting module and underground lamp with the underground lamp lens |
| CN107062157B (en) * | 2017-05-31 | 2023-02-10 | 浙江光锥科技有限公司 | Underground lamp lens, light emitting module with same and underground lamp |
| US10578275B2 (en) | 2017-07-21 | 2020-03-03 | Zhongshan Institute Of Modern Industrial Technology, South China University Of Technology | Double freeform-surface lens with uniform color temperature |
| CN107191861A (en) * | 2017-07-21 | 2017-09-22 | 中山市华南理工大学现代产业技术研究院 | A kind of double free-form surface lens of uniform color temperature |
| WO2019015695A1 (en) * | 2017-07-21 | 2019-01-24 | 中山市华南理工大学现代产业技术研究院 | Double-free-form surface lens with uniform colour temperature |
| CN107191861B (en) * | 2017-07-21 | 2020-01-17 | 中山市华南理工大学现代产业技术研究院 | Double-free-form-surface lens with uniform color temperature |
| CN108613136A (en) * | 2018-04-09 | 2018-10-02 | 深圳民爆光电技术有限公司 | A kind of control method and system generating free-form surface lens based on energy distribution method |
| CN108549174A (en) * | 2018-04-11 | 2018-09-18 | 大连工业大学 | Generate the LED downward back lighting systems of high evenness hot spot |
| CN108870318A (en) * | 2018-05-21 | 2018-11-23 | 广东工业大学 | A kind of LED free-form surface lens design method |
| CN110543014A (en) * | 2019-08-15 | 2019-12-06 | 中山市华南理工大学现代产业技术研究院 | Design method of double-free-form-surface lens for short-distance illumination of LED (light emitting diode) surface light source |
| CN111308593A (en) * | 2020-03-30 | 2020-06-19 | 南京理工大学 | Ultra-thin reflective free-form surface design method for mobile phone lens |
| CN112449462A (en) * | 2020-11-20 | 2021-03-05 | 横店集团得邦照明股份有限公司 | Operating room lighting system based on multi-curved-surface LED |
| CN112393136A (en) * | 2020-11-30 | 2021-02-23 | 浙江光锥科技有限公司 | Method for generating 60-degree beam angle lens structure |
| CN112393136B (en) * | 2020-11-30 | 2023-03-14 | 浙江光锥科技有限公司 | Method for generating 60-degree beam angle lens structure |
| CN112946906A (en) * | 2021-03-26 | 2021-06-11 | 暨南大学 | Space light intensity homogenizing system for DMD projection lithography and design method thereof |
| CN113419342A (en) * | 2021-07-01 | 2021-09-21 | 重庆邮电大学 | Free illumination optical design method based on deep learning |
| CN116338942A (en) * | 2021-12-24 | 2023-06-27 | 广州奕至家居科技有限公司 | Optical device construction method |
| CN116338942B (en) * | 2021-12-24 | 2024-03-29 | 广州奕至家居科技有限公司 | Optical device construction method |
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Application publication date: 20150128 |