CN103257382A - Scattering method based on differences of refractive index in media and porous scattering material - Google Patents
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Abstract
Description
技术领域technical field
本发明属于照明光学领域,涉及到散射方法与材料,特别是基于介质内折射率差异的散射方法与多孔性散射材料。The invention belongs to the field of illumination optics and relates to a scattering method and material, in particular to a scattering method and a porous scattering material based on the difference in refractive index in a medium.
背景技术Background technique
随着光源技术的发展,光源的单位功率密度不断增加,远远超过了人类的极限视觉能力。照明的效率不仅与光源(灯)有关,也跟灯具有关。过去降低眩光采用毛玻璃、瓦楞状玻璃折射,变高亮度、点光源为面光源。随着人们生活水平的提高,对灯具美观的追求日益重视。毛玻璃有透光率高的优点,但遮蔽性低,透过毛玻璃依然能够看到光源的模糊形状。近年来,国内的灯具趋势是毛玻璃灯具难觅,代之以在透明玻璃表面丝网印一层薄薄的乳白色油漆,灯具内的日光灯或者节能灯照亮了这层带油漆的灯具玻璃,油漆通体发亮,感觉如同灯光下的毛玻璃,但测算光效下降巨大。如,3×55W三基色节能灯的灯具,照明效果与原来采用毛玻璃灯具的40W日光灯~55W节能灯的亮度类似,唯一的区别是通过油漆遮蔽后的灯具,看不到明显的节能灯发光灯管的外形。表1为某手册上各种玻璃的透光系数。With the development of light source technology, the unit power density of the light source has been increasing, far exceeding the limit vision ability of human beings. The efficiency of lighting is not only related to the light source (lamp), but also related to the lamps. In the past, frosted glass and corrugated glass were used to reduce glare, and high brightness and point light sources were used as surface light sources. With the improvement of people's living standards, more and more attention is paid to the pursuit of the beauty of lamps and lanterns. Frosted glass has the advantage of high light transmittance, but low shading, and the blurred shape of the light source can still be seen through the frosted glass. In recent years, the trend of domestic lamps is that frosted glass lamps are hard to find. Instead, a thin layer of milky white paint is screen-printed on the surface of transparent glass. The fluorescent lamp or energy-saving lamp inside the lamp illuminates this layer of painted lamp glass. The whole body is bright, and it feels like frosted glass under the light, but the light effect is estimated to drop greatly. For example, the lighting effect of 3×55W tri-color energy-saving lamps is similar to the brightness of the original 40W fluorescent lamps to 55W energy-saving lamps using ground glass lamps. The only difference is that the lamps covered by paint cannot see the obvious energy-saving lamps The shape of the tube. Table 1 shows the transmittance coefficients of various glasses in a manual.
表1几种玻璃的透光系数Table 1 Transmittance coefficient of several kinds of glass
由表1可知,乳白色玻璃的透光性极差,这与日常生活中的感受一致。美观与节能环保形成了极大的反差,这与世界节能趋势格格不入。如何改变漫射光发生装置的透光效率,同时又满足遮蔽性。分析乳白色灯罩玻璃、或者乳白色白炽灯玻壳,均有一层薄薄的乳白色层。钛白粉具有白度高、反射率高的优点,但光源上通过乳白色玻璃产生漫射光是透射光,不是反射光,钛白粉颗粒会阻挡光线传播,尽管颗粒间的反射率高,这种多次反射严重衰减了光通量,这一不完美的漫反射方法长期来大大降低了照明效率。It can be seen from Table 1 that the light transmission of milky white glass is extremely poor, which is consistent with the feeling in daily life. There is a great contrast between aesthetics and energy saving and environmental protection, which is incompatible with the world energy saving trend. How to change the light transmission efficiency of the diffuse light generating device while satisfying the shielding property. Analyze the white lampshade glass, or the white incandescent lamp bulb, all have a thin white layer. Titanium dioxide has the advantages of high whiteness and high reflectivity, but the diffused light produced by milky white glass on the light source is transmitted light, not reflected light, and titanium dioxide particles will block the light transmission. Although the reflectivity between particles is high, this many times Reflection severely attenuates the luminous flux, and this imperfect method of diffuse reflection greatly reduces lighting efficiency over time.
发明内容Contents of the invention
针对现有漫射光产生装置本身的透射率低,装置选用材料本身的遮蔽率高的缺陷,本发明通过基础光学分析、自然光现象分析和研究、透明无机材料和透明高分子聚合物的光学特性分析研究,获得了适合工程应用的漫反射规律和相应的高透射率的光散射方法与对应的光学材料的获取方法。Aiming at the defects of the low transmittance of the existing diffuse light generating device itself and the high shading rate of the material itself selected for the device, the present invention analyzes the optical properties of transparent inorganic materials and transparent polymers through basic optical analysis, analysis and research of natural light phenomena, and Research has obtained the law of diffuse reflection suitable for engineering applications and the corresponding method of light scattering with high transmittance and the acquisition method of corresponding optical materials.
基本工作原理基于透明介质的光反射率R和透射率T关系。透明介质表面的反射率R的计算公式The basic working principle is based on the relationship between light reflectance R and transmittance T of transparent media. Calculation formula of reflectivity R on the surface of transparent medium
例如,当玻璃的折射率n’=1.5,而空气的折射率n=1.0,计算结果为R=0.04,即玻璃平板每个表面反射率约为4%,无色透明的白玻璃板的透射率T只有92.16%,故无色白玻璃板的总反射率Rt白玻璃板=1-T=1-92.16%=7.84%。N层无色白玻璃板的透射率只有TN。For example, when the refractive index of glass n'=1.5, and the refractive index of air n=1.0, the calculated result is R=0.04, that is, the reflectivity of each surface of the glass plate is about 4%, and the transmittance of the colorless and transparent white glass plate The rate T is only 92.16%, so the total reflectance of the colorless white glass plate Rt white glass plate =1-T=1-92.16%=7.84%. The transmittance of the N-layer colorless white glass plate is only TN .
本发明利用透明介质之间的折射或者全反射扰乱光线的行进方向,获得透射率高的散射光,所述的透明介质之间的折射或者全反射系散布在均匀透明介质中的无色透明的散射体表面形成的界面,界面的两侧有不同的折射率;无色透明的散射体折射率n’与匀质透明材料的折射率n有差异,两者之差可正可负。所述的散射体为球体或不规则体。The present invention utilizes the refraction or total reflection between transparent media to disturb the traveling direction of light to obtain scattered light with high transmittance. The refraction or total reflection between transparent media is colorless and transparent light distributed in uniform transparent media. The interface formed on the surface of the scatterer has different refractive indices on both sides of the interface; the refractive index n' of a colorless and transparent scatterer is different from that of a homogeneous transparent material, and the difference between the two can be positive or negative. The scatterers are spheres or irregular bodies.
优选的是无色透明的散射体折射率n’低于匀质材料的折射率n,散射体呈凹透镜效应,造成散射体局部大面积的全反射,提高单一散射体的发散角,减小内部逆向反射,降低光损耗;散射体线度为亚毫米级别~1毫米,It is preferred that the refractive index n' of the colorless and transparent scatterer is lower than that of the homogeneous material, and the scatterer has a concave lens effect, which causes a large area of total reflection in the scatterer, increases the divergence angle of a single scatterer, and reduces the internal Retroreflection reduces light loss; the size of the diffuser is sub-millimeter level to 1 mm,
散射体线度为亚毫米级别~1毫米,散射体在均匀透明介质内的分布沿光行进方向,即均匀透明介质厚度方向,其密度值为2~6个,不超过12个,最佳密度在2~4个之间,控制散射体线度和密度,可调整散射效果。The size of the scatterer is sub-millimeter level to 1 mm. The distribution of the scatterer in the uniform transparent medium is along the direction of light travel, that is, the thickness direction of the uniform transparent medium. The density value is 2 to 6, not more than 12. The optimal density Between 2 and 4, the scattering effect can be adjusted by controlling the size and density of the scattering body.
本发明的无色透明的散射(球)体通过结晶或者发泡形成,可限制均匀透明介质和无色透明的散射体的折射率之差在较小范围,减弱两种不同介质界面之间的反射率,提高散射光的出光率。The colorless and transparent scattering (sphere) body of the present invention is formed by crystallization or foaming, which can limit the difference in refractive index between the uniform transparent medium and the colorless and transparent scattering body in a small range, and weaken the interface between two different media. Reflectivity, improve the light output rate of scattered light.
本发明的无色透明的散射体通过结晶或者发泡形成;可以通过原料选择和原料温度、模具的保温时间控制透明均匀介质中的晶粒尺寸,形成无机的微晶玻璃或者形成多晶体的高分子材料;The colorless and transparent scatterer of the present invention is formed by crystallization or foaming; the crystal grain size in the transparent and uniform medium can be controlled by raw material selection, raw material temperature, and mold holding time to form inorganic glass-ceramic or polycrystalline high Molecular materials;
本发明的无色透明的散射体通过结晶或者发泡形成;在无色透明无机物或者无色透明的高分子材料熔融状态下掺入气体,形成透明介质包裹的气泡并均匀分布在介质中。The colorless and transparent scatterer of the present invention is formed by crystallization or foaming; gas is mixed in a colorless and transparent inorganic substance or a colorless and transparent polymer material in a molten state to form bubbles wrapped in a transparent medium and evenly distributed in the medium.
本发明的载体,可以是硬质透明材料,如无色玻璃、高透光性的高分子材料,如有机玻璃(聚甲基丙烯酸甲酯,PMMA),聚甲基丙烯酸丁酯(PBA),聚苯乙烯(PS),聚碳酸酯(PC),聚偏氟乙烯(PVDF),聚酯(PET),也可以是柔性高分子材料膜,通过贴膜的形式在透明的硬质无机或者高分子材料的灯具或者需要产生漫射光的地方。The carrier of the present invention can be a hard transparent material, such as colorless glass, a polymer material with high light transmittance, such as plexiglass (polymethyl methacrylate, PMMA), polybutyl methacrylate (PBA), Polystyrene (PS), polycarbonate (PC), polyvinylidene fluoride (PVDF), polyester (PET), can also be a flexible polymer material film, through the form of a film on a transparent hard inorganic or polymer Lighting fixtures for materials or where diffused light needs to be produced.
本发明所用材料无色透明,无透射光阻挡层,无色透明的散射体折射或反射角度大,光线经历的无色透明的散射体的线度大,界面数量少,具有漫射性好,可选择和调整散射体线度和密度,使得出光效率高,以获得满意的散射效果,并且实现方式多样化,制作工艺成熟,成本低廉。The material used in the present invention is colorless and transparent, has no transmitted light blocking layer, the refraction or reflection angle of the colorless and transparent scatterer is large, the linearity of the colorless and transparent scatterer experienced by the light is large, the number of interfaces is small, and the diffusion is good. The size and density of the scatterer can be selected and adjusted, so that the light extraction efficiency is high to obtain a satisfactory scattering effect, and the implementation methods are diversified, the manufacturing process is mature, and the cost is low.
附图说明Description of drawings
附图1为本发明关于介质反射率曲线图。Accompanying drawing 1 is the present invention about medium reflectance curve.
附图2为本发明的透明介质平板G1内光线行踪图。Accompanying drawing 2 is the ray trace diagram in the transparent medium plate G1 of the present invention.
附图3(a)为本发明的多层透明介质平板主透射光示意图。Figure 3(a) is a schematic diagram of the main transmitted light of the multi-layer transparent medium plate of the present invention.
附图3(b)为本发明的多层透明介质平板的逆向反射光对出射光的影响示意图。Figure 3(b) is a schematic diagram of the influence of the retroreflected light on the outgoing light of the multi-layer transparent medium plate of the present invention.
附图4为本发明具有凸透镜效应的透明介质球体对光线折射方向的影响示意图。Accompanying drawing 4 is a schematic diagram of the influence of the transparent medium sphere with convex lens effect on the refraction direction of light in the present invention.
附图5为本发明的带不同折射率透明介质球体群的光学散射板结构示意图。Accompanying drawing 5 is the structural diagram of the optical scattering plate with different refractive index transparent medium sphere groups of the present invention.
附图6为本发明的均匀透明介质与空气泡界面发生全反射的投射截面积比示意图。Fig. 6 is a schematic diagram of projected cross-sectional area ratio of total reflection at the interface between the uniform transparent medium and the air bubble of the present invention.
具体实施方式Detailed ways
下面结合附图阐述本发明。The present invention is described below in conjunction with accompanying drawing.
本发明依据的计算理论及其推导:Computing theory and derivation thereof on the basis of the present invention:
附图1为本发明依据的介质反射率曲线图,材料取自母国光、战元令编《光学》(人民教育出版社,1978.9第一版)的图12-13。图中的曲线Ⅰ、曲线Ⅱ、曲线Ⅲ分别对应:平行于入射面振动(偏振光)的反射率Rp、垂直于入射面振动(偏振光)的反射率Rs、和自然光的反射率R,纵轴代表反射率R,横轴为入射角i。通常的非偏振光(自然光)对应曲线Ⅲ。由图1可见,入射角i在40°以内的反射率R几乎不变,反射率取决于公式:Accompanying drawing 1 is the reflectance curve of the medium on which the present invention is based, and the materials are taken from Figures 12-13 of "Optics" edited by mother Guoguang and Zhan Yuanling (People's Education Publishing House, 1978.9 first edition). Curve Ⅰ, curve Ⅱ, and curve Ⅲ in the figure respectively correspond to: the reflectivity Rp of vibration parallel to the incident surface (polarized light), the reflectivity Rs of vibration perpendicular to the incident surface (polarized light), and the reflectivity R of natural light. The axis represents the reflectivity R, and the horizontal axis is the angle of incidence i. Usual unpolarized light (natural light) corresponds to curve III. It can be seen from Figure 1 that the reflectivity R of the incident angle i within 40° is almost unchanged, and the reflectivity depends on the formula:
式(1)中n’、n分别为界面两侧的不同介质的折射率。一般玻璃的折射率n’=1.5左右,而空气的折射率n=1.0,计算得到的折射率R=0.0400(4.00%)。In formula (1), n’ and n are the refractive indices of different media on both sides of the interface, respectively. Generally, the refractive index of glass is n'=1.5, while that of air is n=1.0. The calculated refractive index is R=0.0400 (4.00%).
1.单块透明介质平板的反射率与透射率推导:1. Derivation of reflectivity and transmittance of a single transparent medium plate:
附图2是一束光以小入射角照射透明介质平板G1,第一入射光E1,照射在透明介质平板G1的上表面Su,反射产生第一反射光R1和折射产生第一往返光D1。第一往返光D1传播到透明介质平板G1的下表面Sd,经界面反射生成第二往返光D2,反射率符合式(1),经下表面Sd折射生成第一出射光O1;各光的相对强度:第一入射光E1=100%,第一反射光R1=[(n’-n)/(n’+n)]2(%)=R(根据式(1)),第一往返光D1=1-R1=1-R(%),第二往返光D2=RD1=R(1-R)(%),第一出射光O1=D12=(1-R)2(%)。Figure 2 shows a beam of light irradiating the transparent medium plate G1 at a small incident angle. The first incident light E1 is irradiated on the upper surface Su of the transparent medium plate G1, and the reflection produces the first reflected light R1 and the refraction produces the first round-trip light D1. The first round-trip light D1 propagates to the lower surface Sd of the transparent medium plate G1, and is reflected by the interface to generate the second round-trip light D2. The reflectivity conforms to formula (1), and is refracted by the lower surface Sd to generate the first outgoing light O1; Intensity: the first incident light E1=100%, the first reflected light R1=[(n'-n)/(n'+n)] 2 (%)=R (according to formula (1)), the first round-trip light D1 =1-R1=1-R (%), the second round-trip light D2=RD1=R(1-R) (%), the first outgoing light O1=D1 2 =(1-R) 2 (%).
继续跟踪透明介质平板G1内的光线行踪和强度,第二往返光D2在透明介质平板G1的上表面Su,经反射产生第三往返光D3,经折射产生第二反射光R2;其相对强度:第三往返光D3=RD2=R2D1=R2(1-R)(%),第二反射光R2=(1-R)D2=(1-R)RD1=R(1-R)2(%)。Continue to trace the whereabouts and intensity of light rays in the transparent medium plate G1, the second round-trip light D2 is reflected on the upper surface Su of the transparent medium plate G1 to generate the third round-trip light D3, and the second reflected light R2 is generated through refraction; its relative intensity: The third round-trip light D3=RD2=R 2 D1=R 2 (1-R) (%), the second reflected light R2=(1-R)D2=(1-R)RD1=R(1-R) 2 (%).
第三往返光D3传播到透明介质平板G1的下表面Sd,经反射生成第四往返光D4,反射率符合式(1),经下表面Sd折射生成第二出射光O2;各光的相对强度:第四往返光D4=RD3=R2D2=R3D1=R3(1-R)(%),第二出射光O2=(1-R)D3=(1-R)RD2=(1-R)R2D1=R2(1-R)2。The third round-trip light D3 propagates to the lower surface Sd of the transparent medium plate G1, and is reflected to generate the fourth round-trip light D4. The reflectivity conforms to formula (1), and is refracted by the lower surface Sd to generate the second outgoing light O2; the relative intensity of each light : The fourth round-trip light D4=RD3=R 2 D2=R 3 D1=R 3 (1-R) (%), the second outgoing light O2=(1-R)D3=(1-R)RD2=(1 -R)R 2 D1=R 2 (1-R) 2 .
第四往返光D4在透明介质平板G1的上表面Su,经反射产生第五往返光D5,经折射产生第三反射光R3;各光的相对强度:第五往返光D5=R4(1-R)(%),第三反射光R3=R3(1-R)2(%)。The fourth round-trip light D4 is reflected on the upper surface Su of the transparent medium plate G1 to generate the fifth round-trip light D5, and the third reflected light R3 is generated through refraction; the relative intensity of each light: the fifth round-trip light D5=R 4 (1- R) (%), the third reflected light R3=R 3 (1−R) 2 (%).
第五往返光D5传播到透明介质平板G1的下表面Sd,经反射生成第六往返光D6,反射率符合式(1),经下表面Sd折射生成第三出射光O3;各光的相对强度:第六往返光D6=R5(1-R)(%),第三出射光O3=R4(1-R)2(%)。The fifth round-trip light D5 propagates to the lower surface Sd of the transparent medium plate G1, and is reflected to generate the sixth round-trip light D6. The reflectivity conforms to formula (1), and is refracted by the lower surface Sd to generate the third outgoing light O3; the relative intensity of each light : The sixth round-trip light D6=R 5 (1-R) (%), the third outgoing light O3=R 4 (1-R) 2 (%).
总透射光T1=O1+O2+O3+……=(1+R2+R4+……)(1-R)2(%)(2)Total transmitted light T1=O1+O2+O3+……=(1+R 2 +R 4 +…)(1-R) 2 (%)(2)
总反射光Rt1=R1+R2+R3+……=R+R(1-R)2+R3(1-R)2+……(%)(3)Total reflected light Rt1=R1+R2+R3+...=R+R(1-R) 2 +R 3 (1-R) 2 +...(%)(3)
其中,反射率R由式(1)决定,最终取决于两介质的折射率n’和n。当n’=1.5,n=1.0,界面反射率R=0.04(4%),R4在10-6数量级,R5在10-7数量级,故O4和R4可以作为无穷小量忽略不计,Among them, the reflectivity R is determined by formula (1), and finally depends on the refractive indices n' and n of the two media. When n'=1.5, n=1.0, interface reflectivity R=0.04 (4%), R 4 is on the order of 10 -6 , R 5 is on the order of 10 -7 , so O4 and R4 can be ignored as infinitesimal quantities,
透明介质平板G1对应的总透射光T1=0.923077。The total transmitted light T1 corresponding to the transparent medium plate G1=0.923077.
透明介质平板G1对应的总反射光Rt1=1-T1=0.076923。The total reflected light Rt1=1-T1=0.076923 corresponding to the transparent medium plate G1.
以上计算均设透明介质平板G1的吸收率为0。The above calculations assume that the absorption rate of the transparent medium plate G1 is 0.
2.多层相同的透明介质平板平行重叠的透射率推导:2. The transmittance derivation of the parallel overlapping of multiple layers of the same transparent medium plate:
附图3(a)为多层相同的透明介质平板G1~G3平行重叠下的直接透射光(不考虑透明介质平板Gi反射后,被上一层透明介质平板Gi-1,Gi-2再次反射的贡献),透明介质平板G1的总透射光T1等于透明介质平板G2的入射光E2,透明介质平板G2的总透射光T2等于透明介质平板G3的总入射光E3,透明介质平板G3的总透射光T3等于透明介质平板G4的总入射光E4,其余类推。在忽略反射光的贡献和不存在介质吸收的前提下,透明介质平板G3的总透射光T3=E4=T13=0.786527(反射率R取0.04)。Attached Figure 3 (a) is the direct transmitted light under the parallel overlapping of multiple layers of the same transparent medium plates G1~G3 (regardless of the reflection of the transparent medium plate Gi, which is reflected by the upper layer of transparent medium plates G i-1 , G i-2 The contribution of reflection again), the total transmitted light T1 of the transparent medium plate G1 is equal to the incident light E2 of the transparent medium plate G2, the total transmitted light T2 of the transparent medium plate G2 is equal to the total incident light E3 of the transparent medium plate G3, and the transparent medium plate G3’s The total transmitted light T3 is equal to the total incident light E4 of the transparent medium plate G4, and so on. Under the premise of ignoring the contribution of reflected light and the absence of medium absorption, the total transmitted light of the transparent medium plate G3 is T3=E4=T1 3 =0.786527 (the reflectivity R is taken as 0.04).
由于下层透明介质平板Gi逆向行进的反射光Ii照亮了上一层透明介质平板Gi-1和上上一层透明介质平板Gi-2,透明介质平板Gi-1和透明介质平板Gi-2再次反射的光最终会照射到透明介质平板Gi自身的上表面上。由于光路的可逆性,可以套用计算式(2)和式(3),只要清点出光路结构的反射或者折射的次数,就能算出最终的结果。附图3(b)的E1-E2-E3-E4与附图3(a)的一样,为直接透射光。E4’为透明介质平板G2的(逆向)反射光,经透明介质平板G1从下表面的反射,再经透明介质平板G2和透明介质平板G3的透射,对透明介质平板G3的出射光T3的贡献;Because the reflected light Ii of the lower transparent medium plate Gi reversely travels, the upper transparent medium plate G i-1 and the upper layer transparent medium plate G i-2 are illuminated, and the transparent medium plate G i-1 and the transparent medium plate G The light reflected again by i-2 will finally irradiate the upper surface of the transparent medium plate Gi itself. Due to the reversibility of the optical path, the calculation formula (2) and formula (3) can be applied, and the final result can be calculated as long as the number of reflection or refraction of the optical path structure is counted. E1-E2-E3-E4 of accompanying drawing 3(b) is the same as that of accompanying drawing 3(a), which are directly transmitted light. E4' is the (reverse) reflected light of the transparent medium plate G2, which is reflected from the lower surface of the transparent medium plate G1, and then transmitted through the transparent medium plate G2 and the transparent medium plate G3, and contributes to the outgoing light T3 of the transparent medium plate G3 ;
E4”为透明介质平板G3的(逆向)反射光,再经透明介质平板G2从下表面反射回来,重新进入透明介质平板G3对出射光T3的贡献;E4" is the (reverse) reflected light of the transparent medium plate G3, and then reflected from the lower surface of the transparent medium plate G2, and re-enters the contribution of the transparent medium plate G3 to the outgoing light T3;
E4”’为透明介质平板G3的(逆向)反射光,经透明介质平板G2的透射后照到透明介质平板G1的下表面,并被透明介质平板G1从下表面反射后,再经透明介质平板G2和透明介质平板G3的透射,对透明介质平板G3的出射光T3的贡献;E4"' is the (reverse) reflected light of the transparent medium plate G3, after being transmitted by the transparent medium plate G2, it shines on the lower surface of the transparent medium plate G1, and is reflected by the transparent medium plate G1 from the lower surface, and then passes through the transparent medium plate The transmission of G2 and the transparent medium plate G3, the contribution to the outgoing light T3 of the transparent medium plate G3;
E4’比E4多了两次透明介质平板G1和G2的反射,故E4’的强度:T13Rt12=0.005917T13=0.005917·E4。E4' has twice more reflections of transparent medium plates G1 and G2 than E4, so the intensity of E4' is: T1 3 Rt1 2 =0.005917T1 3 =0.005917·E4.
E4”比E4多了两次透明介质平板G3和G2的反射,故E4”的强度与E4’相同:T13Rt12=0.005917T13=0.005917·E4。E4" has two more reflections of transparent medium plates G3 and G2 than E4, so the intensity of E4" is the same as that of E4': T1 3 Rt1 2 =0.005917T1 3 =0.005917·E4.
E4”’比E4多了两次透明介质平板G3和G1的反射,又多了两次(正向与逆向)透射经过透明介质平板G2,故E4”’的强度:T15Rt12=0.005917T15=0.005917·T12E4=0.852071×0.005917·E4。Compared with E4, E4"' has twice more reflections from the transparent medium plates G3 and G1, and two more (forward and reverse) transmissions through the transparent medium plate G2, so the intensity of E4"': T1 5 Rt1 2 =0.005917T1 5 =0.005917·T1 2 E4=0.852071×0.005917·E4.
透明介质平板Gi-1和Gi-2逆向反射对3层叠合的透明介质平板Gi的出光率贡献:E’+E”+E”’=0.016876·E4;3层无色透明介质平板G的总出光率=1.016876·E4=80.0%。其中的E4为透明介质平板G1~G3的直接透射光(%)。The contribution of the retroreflection of the transparent medium plate G i-1 and G i-2 to the light extraction rate of the three-layer laminated transparent medium plate Gi: E'+E”+E”’=0.016876·E4; the three-layer colorless transparent medium plate G The total light output rate=1.016876·E4=80.0%. Among them, E4 is the direct transmitted light (%) of the transparent medium plates G1-G3.
以此类推,当透明介质平板G有5层,从透明介质平板G5直接出射的透射光强度T5=T15=0.670177,各层产生的逆向行进的反射光,除透明介质平板G1外,其他有贡献的反射有10种排列。By analogy, when the transparent medium plate G has 5 layers, the intensity of the transmitted light emitted directly from the transparent medium plate G5 is T5=T1 5 =0.670177, and the reflected light generated by each layer, except the transparent medium plate G1, has Contributed reflections are available in 10 permutations.
透明介质平板G2的逆向反射光,对透明介质平板G5的出射贡献:T15Rt12;The retroreflected light of the transparent medium plate G2 contributes to the emission of the transparent medium plate G5: T1 5 Rt1 2 ;
透明介质平板G3的逆向反射光,对透明介质平板G5的出射贡献分2路:The retroreflected light of the transparent medium plate G3 has two ways of contribution to the output of the transparent medium plate G5:
T15Rt12+T15·T12Rt12 T1 5 Rt1 2 +T1 5 T1 2 Rt1 2
透明介质平板G4的逆向反射光,对透明介质平板G5的出射贡献分3路:The retroreflected light of the transparent medium plate G4 contributes three ways to the output contribution of the transparent medium plate G5:
T15Rt12+T15·T12Rt12+T15·T14Rt12 T1 5 Rt1 2 +T1 5 T1 2 Rt1 2 +T1 5 T1 4 Rt1 2
透明介质平板G5的逆向反射光,对透明介质平板G5的出射贡献分4路:The retroreflected light of the transparent medium plate G5 is divided into 4 ways to the outgoing contribution of the transparent medium plate G5:
T15Rt12+T15·T12Rt12+T15·T14Rt12+T15·T16Rt12 T1 5 Rt1 2 +T1 5 T1 2 Rt1 2 +T1 5 T1 4 Rt1 2 +T1 5 T1 6 Rt1 2
逆向反射光占直接出射光的百分比为:The percentage of retroreflected light to direct outgoing light is:
Rt12(4+3T12+2T14+T16)=8.626888Rt12=0.051046Rt1 2 (4+3T1 2 +2T1 4 +T1 6 )=8.626888Rt1 2 =0.051046
5层无色透明介质平板G的整体透光率为70.4%。The overall light transmittance of the 5-layer colorless transparent medium plate G is 70.4%.
3.含有不同折射率的透明介质球体的介质散射模型3. Medium scattering model with transparent medium spheres with different refractive indices
附图4给出了一个平行光照射透明介质球体模型,根据折射定律n’sin i’=nsin i,折射率大的一侧入射角或者出射角小,出射光向各个方向行进。图中的球体折射率n’﹥球体外部介质的折射率n,球体呈现凸透镜效应,光线在球体内部汇聚,根据附图1,球体的边缘部分在低掠角下,反射率R极高,当入射角在80~90°之间,反射率R在0.55~1.0之间;若球体折射率n’﹤球体外部介质的折射率n,根据已有的知识结合试验验证,获得以下推论:①球体呈现凹透镜效应,②进入球体内部的光线发散,出射光包含的角度更广,散射效应更强,③外部光线照射在球体边缘发生全反射现象,使得出射光的效率更高。Attached Figure 4 shows a transparent medium sphere model irradiated by parallel light. According to the law of refraction n’sin i’=nsin i, the side with a large refractive index has a small incident angle or a small exit angle, and the outgoing light travels in all directions. In the figure, the refractive index of the sphere n' > the refractive index n of the medium outside the sphere, the sphere presents a convex lens effect, and the light rays converge inside the sphere. According to Figure 1, the reflectivity R of the edge of the sphere is extremely high at low grazing angles. When The incident angle is between 80° and 90°, and the reflectivity R is between 0.55 and 1.0; if the refractive index n' of the sphere is less than the refractive index n of the medium outside the sphere, based on existing knowledge and experimental verification, the following inferences can be obtained: ① sphere It presents a concave lens effect. ②The light entering the sphere diverges, and the outgoing light includes a wider angle, and the scattering effect is stronger. ③The external light irradiates on the edge of the sphere and undergoes total reflection, which makes the outgoing light more efficient.
4.提高透明介质透射率的方法4. Methods to improve the transmittance of transparent media
根据前述透明介质平板G1~Gi多层叠加后的透射率的推导和计算结果,每经过一块折射率n’=1.5的无色透明介质平板Gi,每一块透明介质平板Gi的透射率Ti=92.3%,反射率Ri=1-Ti,经历的透明介质平板G越多,总透射率越低,总反射率越高。根据式(1),可以获得以下推论:当n’、n的值越接近,反射率R越小,也即透明介质平板Gi的透射率T=1-R越高。因此,选择介质1的折射率n’更接近介质2的折射率n,经过同样多层的透明介质平板Gj,其总透射率必然比两介质的折射率差距大的透明介质平板Gi的大。According to the derivation and calculation results of the transmissivity of the aforementioned transparent medium plates G1~Gi after multi-layer stacking, every time a colorless and transparent medium plate Gi with a refractive index n'=1.5 passes through, the transmittance Ti of each transparent medium plate Gi=92.3 %, reflectance Ri=1-Ti, the more transparent medium plate G experienced, the lower the total transmittance and the higher the total reflectance. According to formula (1), the following inference can be obtained: when the values of n’ and n are closer, the reflectivity R is smaller, that is, the transmittance T=1-R of the transparent medium plate Gi is higher. Therefore, if the refractive index n' of medium 1 is closer to the refractive index n of medium 2, the total transmittance of the same multi-layer transparent medium plate Gj must be greater than that of the transparent medium plate Gi with a large difference in refractive index between the two media.
5.不同折射率的透明介质球体群散射模型与散射材料5. Scattering model and scattering material of transparent medium sphere group with different refractive index
当透明介质平板G改为不规则球体,入射光照射到球体后向四周散射,光线逆向行进的比率小,大大减少前向传播的光衰减,提高散射效率。由于不规则透明介质球体不仅散布在与照射光行进路线垂直的平面内,而且沿照射光行进路线有一定的厚度分布。接近平行的照射光受不规则第一透明介质球体的影响,如附图4的不规则透明介质球体,形成了散射,朝不同方向传播,光能量开始分散,行进了一小段距离后,又遇见第二不规则透明介质球体,由于入射第二不规则透明介质球体的光线方向分散,经过第二不规则透明介质球体的折射或者全反射,其出射光在方向分布上更广泛,然后可能遇到第三不规则透明介质球体,第四不规则透明介质球体,经过若干次的不规则透明介质球体的折射或者全反射后,可以很好地将定向光转化成散射光,获得±90°角范围内光照均匀度好的散射光。When the transparent medium plate G is changed to an irregular sphere, the incident light irradiates the sphere and scatters to the surroundings, and the ratio of light traveling in the opposite direction is small, which greatly reduces the light attenuation of forward propagation and improves the scattering efficiency. Because the irregular transparent medium spheres are not only scattered in the plane perpendicular to the traveling path of the irradiating light, but also have a certain thickness distribution along the traveling path of the irradiating light. The near-parallel irradiating light is affected by the irregular first transparent medium sphere, such as the irregular transparent medium sphere in Figure 4, forming scattering, propagating in different directions, and the light energy begins to disperse. After traveling a short distance, it meets again The second irregular transparent medium sphere, due to the dispersion of the direction of the light incident on the second irregular transparent medium sphere, after the refraction or total reflection of the second irregular transparent medium sphere, the outgoing light has a wider distribution in the direction, and then may encounter The third irregular transparent medium sphere, the fourth irregular transparent medium sphere, after several times of refraction or total reflection of the irregular transparent medium sphere, can well convert the directional light into scattered light, and obtain an angular range of ±90° Diffuse light with good uniformity of internal illumination.
附图5是透明均匀介质中包含有不同折射率的透明介质球体的板材,其中不同折射率的透明介质球体在空间随机分布,宏观统计呈均匀分布;透明介质球体的线度﹥﹥可见光特别是红光的波长λ。透明介质球体在板材中的密度以板材厚度方向拥有2~10个透明介质球体为宜。根据附图3(b)模型的分析,当Δn=0.5,穿透5层无色透明介质平板G1~G5的透光率为70.4%,过多、过密的透明介质球体群对器材的透射率构成了影响和挑战,需要在散射效果和透光率之间找到平衡点。Accompanying drawing 5 is the sheet material that contains the transparent medium sphere of different refractive index in the transparent homogeneous medium, wherein the transparent medium sphere of different refractive index is randomly distributed in space, macroscopic statistics is uniform distribution; The wavelength λ of red light. The density of the transparent medium spheres in the plate is preferably 2 to 10 transparent medium spheres in the thickness direction of the plate. According to the analysis of the model in Figure 3(b), when Δn=0.5, The light transmittance of G1-G5 penetrating through 5 layers of colorless transparent medium plates is 70.4%. Too many and too dense transparent medium spheres pose an impact and challenge on the transmittance of the equipment. It is necessary to balance the scattering effect and light transmittance. Find a balance between.
根据前述分析讨论,本发明提高透明介质球体的散射效率和透射率的方法可以归纳成:According to the aforementioned analysis and discussion, the method for improving the scattering efficiency and transmittance of the transparent medium sphere in the present invention can be summarized as follows:
①提高单个透明介质球体的散射效率——扩大散射角度与分布;②减少散射途径上经过的透明介质球体个数;③降低不同介质界面之间的反射能量;④创造全反射环境。① Improve the scattering efficiency of a single transparent medium sphere—expand the scattering angle and distribution; ② Reduce the number of transparent medium spheres passing through the scattering path; ③ Reduce the reflected energy between different medium interfaces; ④ Create a total reflection environment.
①提高单个透明介质球体的散射效率,要求从单个透明介质球体出射光的角度分布大,这样只需要穿透少量的透明介质球体就能够达到散射要求。凸透镜组组成的镜头视场角较小,超广角镜头、鱼眼镜头的第一片都都采用凹透镜,由凸透镜和凹透镜组成的望远镜,将光路倒过来后,从物镜端(凸透镜端)看进去,所见的视场角远比当望远镜时目镜(凹透镜端)中见到的视场角大。分析凹透镜光路,当平行光照射凹透镜,获得的是向外发散的光线。如果将思维方式换一个角度,在透明均匀介质中加入折射率n’﹤透明均匀介质的折射率n的透明介质球体,光线经过折射率n的透明均匀介质进入折射率n’较小的透明介质球体,这时候折射率n’较小的透明介质球体就成为凹透镜。根据凹透镜的特点,进入其内的光线将被折射到更广阔的空间范围中。① To improve the scattering efficiency of a single transparent medium sphere, it is required that the angular distribution of the light emitted from a single transparent medium sphere is large, so that only a small amount of transparent medium spheres need to penetrate to meet the scattering requirements. The field angle of the lens composed of convex lens group is small. The first lens of super wide-angle lens and fisheye lens adopts concave lens. The telescope composed of convex lens and concave lens reverses the optical path and looks in from the objective lens end (convex lens end). The field of view seen is much larger than the field of view seen in the eyepiece (concave lens end) when the telescope is used. Analyzing the optical path of the concave lens, when the parallel light irradiates the concave lens, the light that diverges outward is obtained. If you change the way of thinking from another angle, add a transparent medium sphere with a refractive index n'<the refractive index of the transparent uniform medium to the transparent uniform medium, and the light passes through the transparent uniform medium with a refractive index n and enters a transparent medium with a smaller refractive index n' A sphere, at this time, a transparent medium sphere with a smaller refractive index n' becomes a concave lens. According to the characteristics of the concave lens, the light entering it will be refracted into a wider spatial range.
②减少散射途径上经过的透明介质球体个数,可以减少界面突变数,即减少了反射次数,已知每次的反射率R是恒定(在角度0°~40°范围内)的,总透射率与(1-R)k有关,总反射率为1-(1-R)k,其中k为反射次数;此外,透明介质球体的线度大,每一束折射后的光线在球内的行进距离远,各折射光束之间拉开的间距大,散射特性好,需要满足同样散射指标的透明介质球体数量就少。②Reducing the number of transparent medium spheres passing through the scattering path can reduce the number of interface mutations, that is, reduce the number of reflections. It is known that the reflectivity R of each time is constant (in the range of angle 0°-40°), and the total transmission The rate is related to (1-R) k , and the total reflectance is 1-(1-R) k , where k is the number of reflections; in addition, the linearity of the transparent medium sphere is large, and each bundle of refracted light rays in the sphere The traveling distance is long, the distance between the refracted beams is large, and the scattering characteristics are good, so the number of transparent medium spheres that need to meet the same scattering index is small.
③降低不同介质界面之间的反射能量。根据式(1),反射率R∝Δn2,如n’=1.5的玻璃与n=1.0的空气,Δn=0.5,按式(1)R=0.04,而如果改用n’=1.33的水与空气形成的界面,反射率R=(0.33/2.33)2=0.02006,几乎是玻璃与空气界面反射率的一半。故降低两种介质的折射率的差异,可以减小光线每次通过界面的反射能量,提高透射光的强度。③Reduce the reflected energy between different medium interfaces. According to formula (1), reflectivity R∝Δn 2 , such as n'=1.5 glass and n=1.0 air, Δn=0.5, according to formula (1) R=0.04, and if use n'=1.33 water For the interface formed with air, the reflectivity R=(0.33/2.33) 2 =0.02006, which is almost half of the reflectivity of the interface between glass and air. Therefore, reducing the difference in the refractive index of the two media can reduce the reflected energy of the light passing through the interface each time and increase the intensity of the transmitted light.
④创造全反射环境。光线从光密媒质到光疏媒质,入射角超过临界角的光发生全反射。例如按折射定律计算,水(n’=1.33)到空气的全反射临界角i’=48.7535°,n’=1.5的玻璃与空气的全反射临界角i’=41.81°,透明介质中包裹空气泡后,平行光照射下超过临界角部分发生全反射,附图6为全反射的相对面积投影关系,图中的空气泡Air,全反射临界角i’及其对应的全反射的投影区域FR。空气泡(球体)产生全反射的投影区域FR(顶视为环状),其相对截面积④ Create a total reflection environment. When light passes from an optically denser medium to an optically rarer medium, the light whose incident angle exceeds the critical angle undergoes total reflection. For example, according to the law of refraction, the critical angle of total reflection from water (n'=1.33) to air i'=48.7535°, the critical angle of total reflection from glass with n'=1.5 to air i'=41.81°, air is wrapped in a transparent medium After bubbles, total reflection occurs at the part exceeding the critical angle under the irradiation of parallel light. Figure 6 shows the relative area projection relationship of total reflection. The air bubble Air in the figure, the critical angle i' of total reflection and its corresponding projection area FR of total reflection . The air bubble (sphere) produces a total reflection projection area FR (the top is regarded as a ring), and its relative cross-sectional area
S=1-sin2i’(4)S=1-sin 2 i'(4)
其中i’为光密媒质的临界入射角,参考附图6的几何关系推导得出。对空气泡与水,全反射的相对截面积S=43.46%,对n’=1.5的介质与空气泡,全反射的相对截面积S=55.55%。Wherein i' is the critical incident angle of the optically dense medium, which is deduced with reference to the geometric relationship of accompanying drawing 6. For air bubbles and water, the relative cross-sectional area of total reflection S=43.46%, for the medium and air bubbles with n’=1.5, the relative cross-sectional area of total reflection S=55.55%.
本发明采用附图5形式的透明均匀介质中分布透明介质球体,光线穿越透明均匀介质时,会多次遇到与透明均匀介质不同折射率的透明介质球体,折射后呈现散射光。本发明可以是透明介质球体折射率n’﹥透明均匀介质折射率n,也可以透明介质球体折射率n’﹤透明均匀介质折射率n,但后一种情况的折射出射光的发散角度更大,散射效果更好,前向光损失更少。The present invention adopts the transparent medium spheres distributed in the transparent uniform medium in the form of Fig. 5. When the light passes through the transparent uniform medium, it will encounter transparent medium spheres with different refractive indices from the transparent uniform medium many times, and will present scattered light after refraction. In the present invention, the refractive index of the transparent medium sphere n' > the refractive index of the transparent uniform medium n, or the refractive index of the transparent medium sphere n' < the refractive index of the transparent uniform medium n, but the divergence angle of the refracted outgoing light in the latter case is larger , the scattering effect is better, and the forward light loss is less.
本发明的不同折射率透明介质球体群的制备方法The preparation method of the different refractive index transparent medium sphere group of the present invention
光学玻璃类的眼镜玻璃、光学镜头玻璃透明,但放置10余年或者几十年后,镜头玻璃内部会析出结晶体,造成镜头玻璃浑浊;微晶玻璃的透光性不如玻璃态的材料,分析原因,细小的晶体折射率与周围的介质折射率有差异,造成光线扰动。一些工程塑料的透光性与加工工艺关系极大,如聚丙烯(PP)塑料,直接模具注塑成型的塑料本体带乳白色,浑浊;双向拉伸聚丙烯(BOPP)薄膜呈透明状态,与注塑成型的外观有本质的不同;加微晶化处理剂的聚丙烯原料注塑成型的外观远比未处理的聚丙烯原料透明度高;分析原因,聚丙烯结晶性极强,成型后形成多晶体,晶体直径小而数量极多,造成晶体颗粒之间透射-反射次数过多,透光性自然差了。双向拉伸聚丙烯(BOPP)薄膜冷却快,晶粒来不及生长大,自然透光性极佳。聚苯乙烯(PS)的透光性极佳,常用减震材料发泡聚苯乙烯呈乳白色,反光率极高,透光率极低,与聚苯乙烯近乎无色透明的本色相去甚远。Optical glass glasses and optical lens glass are transparent, but after more than 10 years or decades of storage, crystals will precipitate inside the lens glass, causing the lens glass to become cloudy; the light transmission of glass-ceramics is not as good as that of glass-like materials, and the reasons are analyzed. The refractive index of the fine crystal is different from that of the surrounding medium, causing light disturbance. The light transmittance of some engineering plastics has a great relationship with the processing technology, such as polypropylene (PP) plastic, the plastic body of direct mold injection molding is milky white and turbid; biaxially oriented polypropylene (BOPP) film is transparent, and it is different from injection molding The appearance of polypropylene is essentially different; the appearance of injection molding of polypropylene raw materials with microcrystallization treatment agent is much higher than that of untreated polypropylene raw materials; analysis of the reasons shows that polypropylene has strong crystallinity, and polycrystals are formed after molding, and the crystal diameter Small but extremely numerous, resulting in too many transmission-reflection times between crystal particles, and the light transmission is naturally poor. The biaxially oriented polypropylene (BOPP) film cools quickly, the grains are too late to grow, and the natural light transmission is excellent. Polystyrene (PS) has excellent light transmission. The commonly used shock-absorbing material expanded polystyrene is milky white, with high reflectivity and low light transmittance, which is far from the almost colorless and transparent natural color of polystyrene.
本发明的透光散射材料可以通过两种途径获得:The light-transmitting scattering material of the present invention can be obtained in two ways:
①透明材料板材重结晶获得均匀介质内的不同折射率的透明介质球体群,控制结晶大小和数量,获得散射性与透光率的平衡点;工业上通过选择原料及其温度、引发剂、模具温度和合模时间来控制散射效应。①Recrystallization of transparent material plates to obtain transparent medium sphere groups with different refractive indices in a homogeneous medium, control the size and quantity of crystals, and obtain a balance point between scattering and light transmittance; industrially select raw materials and their temperatures, initiators, and molds Temperature and clamping time to control the scattering effect.
②在透明材料凝固前充入空气泡,形成的微型空气球泡均匀悬浮在透明介质中,空气球泡的线度、密度可调节,从而调整散射性与透光率;从界面反射率的计算可知,光束穿透散光板不宜过多次地被折射或者反射,以提高透光率。气泡或者透明(球)体的线度亚毫米数量级~1毫米,其在透明介质内的密度为光沿行进方向(板厚方向)散射(球)体平均值为2~6个,不超过12个,最佳密度在2~4个之间。②The air bubbles are filled before the transparent material is solidified, and the formed miniature air bubbles are evenly suspended in the transparent medium. It can be seen that the light beam passing through the diffuser plate should not be refracted or reflected too many times, so as to improve the light transmittance. Bubbles or transparent (spherical) bodies have a linear dimension of submillimeter order to 1 mm, and their density in the transparent medium is that the average value of light scattering (spherical) bodies along the direction of travel (plate thickness direction) is 2 to 6, not exceeding 12 The optimal density is between 2 and 4.
本发明的具体实施方法如下:The concrete implementation method of the present invention is as follows:
本发明的无色透明的散射(球)体通过结晶或者发泡形成;可以通过原料选择和原料温度、模具的保温时间控制透明均匀介质中的晶粒尺寸,形成无机的微晶玻璃或者形成多晶体的高分子材料;在无色透明无机物或者无色透明的高分子材料熔融状态下掺入气体,形成透明介质包裹的气泡并均匀分布在介质中。本发明的载体,可以是硬质透明材料,如带均匀气泡的玻璃,泡沫塑料层,无色玻璃、高透光性的高分子材料,如有机玻璃(聚甲基丙烯酸甲酯,PMMA),聚甲基丙烯酸丁酯(PBA),聚苯乙烯(PS),聚碳酸酯(PC),聚偏氟乙烯(PVDF),也可以是柔性高分子材料膜,通过贴膜的形式在透明的硬质无机或者高分子材料的灯具或者需要产生漫射光的地方。发泡体积的线度为亚毫米级别~1毫米,沿厚度方向2~6个,一般不超过10个泡.,最佳密度在2~4个之间。The colorless and transparent scattering (sphere) body of the present invention is formed by crystallization or foaming; the crystal grain size in the transparent and uniform medium can be controlled by raw material selection, raw material temperature, and mold holding time to form inorganic glass-ceramic or polycrystalline Crystalline polymer material; when colorless and transparent inorganic substances or colorless and transparent polymer materials are melted, gas is added to form bubbles wrapped in a transparent medium and evenly distributed in the medium. The carrier of the present invention can be a hard transparent material, such as glass with uniform bubbles, a foam plastic layer, colorless glass, high light-transmitting polymer materials, such as plexiglass (polymethyl methacrylate, PMMA), Polybutylmethacrylate (PBA), polystyrene (PS), polycarbonate (PC), polyvinylidene fluoride (PVDF), can also be a flexible polymer material film, through the form of a film on a transparent hard Lamps with inorganic or polymer materials or where diffuse light is required. The linear dimension of the foaming volume is submillimeter level to 1 mm, 2 to 6 cells along the thickness direction, generally no more than 10 cells, and the optimal density is between 2 to 4 cells.
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