CN108506743A - A kind of free form surface Fresnel lighting system of high degree of focus - Google Patents
A kind of free form surface Fresnel lighting system of high degree of focus Download PDFInfo
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- CN108506743A CN108506743A CN201711419721.6A CN201711419721A CN108506743A CN 108506743 A CN108506743 A CN 108506743A CN 201711419721 A CN201711419721 A CN 201711419721A CN 108506743 A CN108506743 A CN 108506743A
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F21—LIGHTING
- F21K—NON-ELECTRIC LIGHT SOURCES USING LUMINESCENCE; LIGHT SOURCES USING ELECTROCHEMILUMINESCENCE; LIGHT SOURCES USING CHARGES OF COMBUSTIBLE MATERIAL; LIGHT SOURCES USING SEMICONDUCTOR DEVICES AS LIGHT-GENERATING ELEMENTS; LIGHT SOURCES NOT OTHERWISE PROVIDED FOR
- F21K9/00—Light sources using semiconductor devices as light-generating elements, e.g. using light-emitting diodes [LED] or lasers
- F21K9/20—Light sources comprising attachment means
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F21—LIGHTING
- F21V—FUNCTIONAL FEATURES OR DETAILS OF LIGHTING DEVICES OR SYSTEMS THEREOF; STRUCTURAL COMBINATIONS OF LIGHTING DEVICES WITH OTHER ARTICLES, NOT OTHERWISE PROVIDED FOR
- F21V5/00—Refractors for light sources
- F21V5/04—Refractors for light sources of lens shape
- F21V5/045—Refractors for light sources of lens shape the lens having discontinuous faces, e.g. Fresnel lenses
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F21—LIGHTING
- F21Y—INDEXING SCHEME ASSOCIATED WITH SUBCLASSES F21K, F21L, F21S and F21V, RELATING TO THE FORM OR THE KIND OF THE LIGHT SOURCES OR OF THE COLOUR OF THE LIGHT EMITTED
- F21Y2115/00—Light-generating elements of semiconductor light sources
- F21Y2115/10—Light-emitting diodes [LED]
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Abstract
Description
技术领域technical field
本发明涉及光学设备技术领域,尤其是一种高聚焦度的自由曲面菲涅尔照明系统。The invention relates to the technical field of optical equipment, in particular to a high-focus free-form surface Fresnel lighting system.
背景技术Background technique
菲涅尔透镜具有价格低、面积大、重量轻和轻便等优点,是一种应用广泛的光学元件,其设计和制造涉及多个领域。菲涅尔透镜主要用途有:一是聚焦照明作用,这种透镜被广泛应用于太阳能、投影仪照明、单反相机、裸眼3D显示等领域;二是将结合被动式红外探测器(Passive Infrared Detection,简称:PIR探测器)来探测热释红外信号。Fresnel lens has the advantages of low price, large area, light weight and portability. It is a widely used optical element, and its design and manufacture involve many fields. The main uses of the Fresnel lens are as follows: one is to focus on lighting, this lens is widely used in solar energy, projector lighting, SLR cameras, naked-eye 3D displays and other fields; the other is to combine passive infrared detectors (Passive Infrared Detection, referred to as : PIR detector) to detect pyro-infrared signals.
菲涅尔透镜通常是由许多个小锯齿构成,通过控制这些锯齿的工作面角度,从而达到对指定光谱范围的光能实现反射或者折射的作用。常规的菲涅尔透镜的锯齿工作面通常是平面,或者在径向上呈一直线(圆环形菲涅尔透镜),这类透镜的聚焦效率取决于锯齿密度,锯齿密度越大,菲涅尔透镜的聚焦效率越好,反之亦然。实际中,锯齿的齿宽或齿深越小,相应的模具加工精度要求越高,从而导致成本越高。另外,每个锯齿为平面的菲涅尔透镜无法较好的修正球差等参数,影响光源照明的均匀性。The Fresnel lens is usually composed of many small sawtooths. By controlling the angle of the working surface of these sawtooths, it can reflect or refract the light energy in the specified spectral range. The sawtooth working surface of a conventional Fresnel lens is usually a plane, or a straight line in the radial direction (annular Fresnel lens). The focusing efficiency of this type of lens depends on the sawtooth density. The greater the sawtooth density, the Fresnel The better the focusing efficiency of the lens, and vice versa. In practice, the smaller the tooth width or tooth depth of the sawtooth, the higher the corresponding mold processing accuracy requirements, resulting in higher cost. In addition, the Fresnel lens with each sawtooth plane cannot properly correct parameters such as spherical aberration, which affects the uniformity of light source illumination.
发明内容Contents of the invention
本发明克服了现有技术中的缺点,提供一种高聚焦度的自由曲面菲涅尔照明系统,均匀度高、结构简单且光能损失少,以适应实际照明需要。The invention overcomes the shortcomings in the prior art and provides a high-focus free-form Fresnel lighting system with high uniformity, simple structure and less loss of light energy, so as to meet the needs of actual lighting.
为了解决上述技术问题,本发明是通过以下技术方案实现的:In order to solve the above technical problems, the present invention is achieved through the following technical solutions:
一种高聚焦度的自由曲面菲涅尔照明系统,按光线传播方向依次设置有一点光源、一包含自由曲面的菲涅尔透镜以及一接收面,所述菲涅尔透镜与所述接收面平行设置,所述点光源设置在所述菲涅尔透镜和所述接收面的中垂线上,所述菲涅尔透镜包括入光平面以及与所述入光平面相对设置的多段混合曲面,所述多段混合曲面上设置有N干个自由曲面锯齿,所述点光源设置在所述入光平面的一侧,所述接收面设置在所述多段混合曲面的一侧;所述点光源具有出射角度所述出射角度划分成N份与所述自由曲面锯齿一一对应,所述照射区域所发出的光线经过其对应的所述自由曲面锯齿后,在所述接收面上形成线形光斑。A high-focus free-form surface Fresnel lighting system, which is provided with a point light source, a Fresnel lens containing a free-form surface, and a receiving surface in sequence according to the direction of light propagation, and the Fresnel lens is parallel to the receiving surface It is set that the point light source is arranged on the perpendicular line between the Fresnel lens and the receiving surface, and the Fresnel lens includes a light-incident plane and a multi-segment mixed curved surface opposite to the light-incident plane, so N dry free-form surface sawtooths are arranged on the multi-segment mixed curved surface, the point light source is set on one side of the light-incident plane, and the receiving surface is set on one side of the multi-segment mixed curved surface; the point light source has an output angle The exit angle The division into N parts corresponds to the sawtooth of the free-form surface one by one, and the light emitted from the irradiation area passes through the corresponding sawtooth of the free-form surface to form a linear light spot on the receiving surface.
进一步地,所述菲涅尔透镜的半径为30mm。Further, the radius of the Fresnel lens is 30mm.
进一步地,所述点光源离所述菲涅尔透镜的入光平面的距离是50mm,所述接收面离所述菲涅尔的多段混合曲面的距离为500mm。Further, the distance between the point light source and the light incident plane of the Fresnel lens is 50 mm, and the distance between the receiving surface and the Fresnel multi-segment blended curved surface is 500 mm.
进一步地,所述点光源是LED点光源。Further, the point light source is an LED point light source.
与现有技术相比,本发明的有益效果是:Compared with prior art, the beneficial effect of the present invention is:
本发明提出了环状菲涅尔自由曲面混合锯齿结构及多对一的映射方式,通过对LED点光源不同发光角度区域进行划分,使每一发光区域与菲涅尔的每一自由曲面锯齿一一对应,令不同范围角度的光线经过所述相应的锯齿区域独立形成无缝连接的线形光斑,既能实现在接收面上的均匀照明,又能实现让接收面上所有的点接收到相应光线的光能,从而提高了照明均匀性。另外,本发明提供的自由曲面菲涅尔透镜还能做出相应的变式,应用于太阳能聚焦上,提高光能的聚焦效率。The present invention proposes a ring-shaped Fresnel free-form surface hybrid sawtooth structure and a many-to-one mapping method. By dividing LED point light sources with different light-emitting angle areas, each light-emitting area is identical to each free-form surface sawtooth of Fresnel. One-to-one correspondence, the light rays of different ranges of angles pass through the corresponding sawtooth area to independently form a seamlessly connected linear spot, which can not only achieve uniform illumination on the receiving surface, but also allow all points on the receiving surface to receive corresponding light Light energy, thus improving the uniformity of illumination. In addition, the free-form surface Fresnel lens provided by the present invention can also be made into corresponding variants, which can be applied to solar energy focusing to improve the focusing efficiency of light energy.
附图说明Description of drawings
附图用来提供对本发明的进一步理解,与本发明的实施例一起用于解释本发明,并不构成对本发明的限制,在附图中:Accompanying drawing is used for providing further understanding to the present invention, is used for explaining the present invention together with the embodiment of the present invention, does not constitute limitation of the present invention, in accompanying drawing:
图1是本发明的工作原理图;Fig. 1 is a working principle diagram of the present invention;
图2是采用曲面拟合所得的自由曲面锯齿的面型数据图;Fig. 2 is the surface data diagram of the free-form surface sawtooth obtained by surface fitting;
图3是采用曲面拟合所得的含有自由曲面的透镜实体图;Fig. 3 is the lens entity figure that adopts curved surface fitting to contain free-form surface;
图4是模拟软件tracePro的模拟效果图;Figure 4 is a simulation effect diagram of the simulation software tracePro;
图5是不加透镜并保持相同的光学元件参数的模拟图。Fig. 5 is a simulation diagram without adding a lens and keeping the same optical element parameters.
图中:100-点光源,110-入光平面,120-多段混合曲面,121、122、123、124、125、126-自由曲面锯齿,130-接收面。In the figure: 100-point light source, 110-light incident plane, 120-multi-segment mixed curved surface, 121, 122, 123, 124, 125, 126-free curved surface sawtooth, 130-receiving surface.
具体实施方式Detailed ways
以下结合附图对本发明的优选实施例进行说明,应当理解,此处所描述的优选实施例仅用于说明和解释本发明,并不用于限定本发明。The preferred embodiments of the present invention will be described below in conjunction with the accompanying drawings. It should be understood that the preferred embodiments described here are only used to illustrate and explain the present invention, and are not intended to limit the present invention.
如图1所示,一种高聚焦度的自由曲面菲涅尔照明系统,按光线传播方向依次设置有一点光源100、一包含自由曲面的菲涅尔透镜以及一接收面130,菲涅尔透镜与接收面130平行设置,点光源100设置在菲涅尔透镜和接收面130的中垂线上,菲涅尔透镜包括入光平面110以及与入光平面100相对设置的多段混合曲面120,多段混合曲面120上设置有N干个自由曲面锯齿,在本实施例中,如图1所示,N为6,多段混合曲面120划分为121、122、123、124、125、126这6个自由曲面锯齿,点光源100设置在入光平面110的一侧,接收面130设置在多段混合曲面120的一侧;点光源100具有出射角度出射角度划分成N份与自由曲面锯齿121、122、123、124、125、126一一对应,N为6,照射区域所发出的光线经过其对应的自由曲面锯齿121、122、123、124、125、126后,在接收面130上形成线形光斑;优选地,点光源100是LED点光源,具有节能、亮度大等特点;优选地,菲涅尔透镜的半径为30mm,点光源100离菲涅尔透镜的入光平面110的距离是50mm,接收面130离菲涅尔的多段混合曲面120的距离为500mm。As shown in Figure 1, a high-focus free-form surface Fresnel lighting system is provided with a point light source 100, a Fresnel lens containing a free-form surface, and a receiving surface 130 in sequence according to the direction of light propagation, and the Fresnel lens Arranged in parallel with the receiving surface 130, the point light source 100 is arranged on the mid-perpendicular line between the Fresnel lens and the receiving surface 130, the Fresnel lens includes a light-incident plane 110 and a multi-segment blended curved surface 120 arranged opposite to the light-incident plane 100, the multi-segment The mixed curved surface 120 is provided with N dry free-form surface serrations. In this embodiment, as shown in FIG. Sawtooth curved surface, the point light source 100 is set on one side of the light incident plane 110, and the receiving surface 130 is set on one side of the multi-segment mixed curved surface 120; the point light source 100 has an exit angle exit angle Divided into N parts corresponding to the free-form surface sawtooth 121, 122, 123, 124, 125, 126, N is 6, the light emitted by the irradiation area passes through its corresponding free-form surface sawtooth 121, 122, 123, 124, 125, After 126, a linear light spot is formed on the receiving surface 130; preferably, the point light source 100 is an LED point light source, which has the characteristics of energy saving and high brightness; preferably, the radius of the Fresnel lens is 30mm, and the point light source 100 is away from the Fresnel The distance between the light incident plane 110 of the lens is 50 mm, and the distance between the receiving surface 130 and the Fresnel multi-segment blended curved surface 120 is 500 mm.
如图1所示,点光源100设置在y-z坐标原点(0,0)处,其所发出的光能沿光线传播方向依次经过菲涅尔透镜入光平面110,多段混合曲面120,最终到达接收面130,点光源100为一LED点光源,设定其最大发光角度为菲涅尔透镜的锯齿数目设置为2N,点光源100的发光角度按照锯齿数目被分割成2N份,每一份光能由对应的锯齿通过折射作用传输到接收面130,负责相应的区域照明。接收面130的半宽为ym,其按照所述菲涅尔透镜锯齿数目被N份,每一份线型区间为ym/N。为实现接收面130上的均匀照明,其每一划分区域的照度设置为E。点光源100的最大光强为Io,其按角度分布的表达式为:As shown in Figure 1, the point light source 100 is set at the origin (0,0) of the yz coordinates, and the light energy emitted by it passes through the light incident plane 110 of the Fresnel lens and the multi-segment mixed curved surface 120 along the direction of light propagation, and finally reaches the receiving surface 130, the point light source 100 is an LED point light source, and its maximum luminous angle is set to be The number of serrations of the Fresnel lens is set to 2N, and the light emitting angle of the point light source 100 is divided into 2N parts according to the number of saw teeth. Each part of light energy is transmitted to the receiving surface 130 by the corresponding saw teeth through refraction, and is responsible for the corresponding area illumination. The half-width of the receiving surface 130 is y m , which is divided into N parts according to the number of serrations of the Fresnel lens, and the line shape interval of each part is y m /N. In order to achieve uniform illumination on the receiving surface 130, the illuminance of each divided area is set to E. The maximum light intensity of the point light source 100 is I o , and its distribution according to the angle is expressed as:
P是自由曲面锯齿123上的一点,向量P可表示为:P is a point on the free-form surface sawtooth 123, and the vector P can be expressed as:
为接收面130上一点,则出射光的单位矢量为 is a point on the receiving surface 130, then the unit vector of the outgoing light is
其中,为曲面上点与目标面上的点之间的距离。in, for the surface point on the target surface distance between points.
设P点上的单位法向量为N,经推导,法矢N的表达式为:Let the unit normal vector on point P be N, after derivation, the expression of normal vector N is:
其中表示函数p对角度求偏导数。in represents the function p opposite angle Find partial derivatives.
光线经过菲涅尔透镜的折射公式为:The refraction formula of light passing through a Fresnel lens is:
其中nI为入射光所在介质的折射率,no为出射光所在介质的折射率。Where n I is the refractive index of the medium where the incident light is located, and no is the refractive index of the medium where the outgoing light is located.
由公式(1)-(5)可以求得自由曲面上p点的位置方程为:From formulas (1)-(5), the position equation of point p on the free surface can be obtained as:
上式为一阶常微分方程,可用数值方法求解。The above formula is a first-order ordinary differential equation, which can be solved numerically.
根据能量守恒定律,有:According to the law of conservation of energy, there are:
结合公式(6)和(7),利用拟牛顿法可以求出函数p的数值解,通过matlab编程,可计算出所述自由曲面锯齿混合面的每一个点坐标数据。Combining formulas (6) and (7), the function p can be obtained by using the quasi-Newton method The numerical solution of the method can calculate the coordinate data of each point of the sawtooth mixed surface of the free-form surface through matlab programming.
根据所述面型数据,并采用非均匀有理B样条(Non uniform rational B-spline,NURBS)来进行曲面拟合,从而获得如图2所示的多段混合曲面120。本实施例中使用基于NURBS的原理的Rhinoceros建模软件进行曲面拟合,从而获得含有该多段混合曲面120的透镜实体。According to the surface data, non-uniform rational B-spline (Non uniform rational B-spline, NURBS) is used for surface fitting, so as to obtain a multi-segment mixed surface 120 as shown in FIG. 2 . In this embodiment, Rhinoceros modeling software based on the principle of NURBS is used for surface fitting, so as to obtain a lens entity including the multi-segment mixed curved surface 120 .
本发明实施例进一步提供一种基于上述设计方法获得的自由曲面菲涅尔透镜照明系统,包括一LED点光源100、一入光平面110,一多段混合曲面120以及一接收面130。不失一般性,设菲涅尔透镜的半径为30mm,预设照明区域为20mm的圆型光斑,LED点光源100离菲涅尔透镜的入光平面110的距离为50mm,接收面130离菲涅尔的多段混合曲面120的距离为500mm,为方便表达本发明的特点,菲涅尔透镜的锯齿数目为10。透镜厚度为4mm,材料采用PMMA,折射率为1.49。根据所述参数,计算出来的多段混合曲面120的面型数据如图2所示,从计算结果可以看出,随着锯齿数增大,为实现均匀照明,锯齿的排布会越向下塌,这与常规的菲涅尔透镜的锯齿排布大有不同。The embodiment of the present invention further provides a free-form surface Fresnel lens lighting system obtained based on the above-mentioned design method, including an LED point light source 100 , a light incident plane 110 , a multi-segment mixed curved surface 120 and a receiving surface 130 . Without loss of generality, assume that the radius of the Fresnel lens is 30 mm, the preset illumination area is a circular spot of 20 mm, the distance between the LED point light source 100 and the incident plane 110 of the Fresnel lens is 50 mm, and the distance between the receiving surface 130 and the The distance of the multi-segment mixed curved surface 120 of the Fresnel lens is 500 mm, and the number of serrations of the Fresnel lens is 10 for the convenience of expressing the characteristics of the present invention. The thickness of the lens is 4mm, the material is PMMA, and the refractive index is 1.49. According to the parameters, the calculated surface data of the multi-segment mixed curved surface 120 is shown in Figure 2. From the calculation results, it can be seen that as the number of saw teeth increases, the arrangement of the saw teeth will collapse downwards in order to achieve uniform illumination. , which is very different from the sawtooth arrangement of conventional Fresnel lenses.
根据所述面型数据,并采用非均匀有理B样条(Non uniform rational B-spline,NURBS)来进行曲面拟合,从而获得多段混合曲面120,本实施例中使用基于NURBS的原理的Rhinoceros建模软件进行曲面拟合,从而获得含有该多段混合曲面120的透镜实体,如图3所示。According to the surface data, non-uniform rational B-splines (Non uniform rational B-spline, NURBS) are used to perform surface fitting, thereby obtaining a multi-segment mixed surface 120. In this embodiment, the Rhinoceros construction based on the principle of NURBS is used. Surface fitting is performed by the modeling software, so as to obtain the lens entity containing the multi-segment mixed curved surface 120, as shown in FIG. 3 .
根据面型建立实体后,将模型导入模拟软件tracePro中进行模拟,模拟的效果如图4所示,从图4可以看出,本发明实施例提供的自由曲面菲涅尔透镜结合LED点光源100在接收面130上可实现照明均匀性达80%以上。作为对比,不加透镜时,保持相同的光学元件参数进行模拟,得到的效果图如图5所示。对比图4和图5,可以发现,自由曲面透镜能更有效实现LED点光源100的聚焦照明,使得光能更加集中,利用效率更高。After the entity is established according to the surface shape, the model is imported into the simulation software tracePro for simulation. The simulation effect is shown in FIG. 4. It can be seen from FIG. The illumination uniformity on the receiving surface 130 can reach more than 80%. As a comparison, when the lens is not added, the same optical element parameters are kept for simulation, and the obtained effect diagram is shown in Figure 5. Comparing FIG. 4 and FIG. 5 , it can be found that the free-form surface lens can more effectively realize the focused illumination of the LED point light source 100 , so that the light energy is more concentrated and the utilization efficiency is higher.
最后应说明的是:以上仅为本发明的优选实施例而已,并不用于限制本发明,尽管参照实施例对本发明进行了详细的说明,对于本领域的技术人员来说,其依然可以对前述各实施例所记载的技术方案进行修改,或者对其中部分技术特征进行等同替换,但是凡在本发明的精神和原则之内,所作的任何修改、等同替换、改进等,均应包含在本发明的保护范围之内。Finally, it should be noted that the above are only preferred embodiments of the present invention, and are not intended to limit the present invention. Although the present invention has been described in detail with reference to the embodiments, those skilled in the art can still understand the foregoing The technical solutions recorded in each embodiment are modified, or some of the technical features are equivalently replaced, but within the spirit and principles of the present invention, any modifications, equivalent replacements, improvements, etc., shall be included in the present invention within the scope of protection.
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CN (1) | CN108506743A (en) |
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CN113126191A (en) * | 2021-04-27 | 2021-07-16 | 上海慧希电子科技有限公司 | Optical device and optical system |
CN114706216A (en) * | 2022-04-12 | 2022-07-05 | 佛山科学技术学院 | A method of constructing a freeform surface |
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