CN103064175B - Projection lens - Google Patents

Projection lens Download PDF

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CN103064175B
CN103064175B CN201110325104.6A CN201110325104A CN103064175B CN 103064175 B CN103064175 B CN 103064175B CN 201110325104 A CN201110325104 A CN 201110325104A CN 103064175 B CN103064175 B CN 103064175B
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lens
projection
projection lens
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focal length
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CN103064175A (en
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廖陈成
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Coretronic Corp
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Abstract

A projection lens comprises a first lens, a second lens, a third lens, a fourth lens and a fifth lens which are sequentially arranged from an enlargement side to a reduction side. The diopters of the first lens, the second lens, the third lens, the fourth lens and the fifth lens are respectively negative, positive, negative and positive. The diopter of the fourth lens is larger than the diopter of the first lens and the second lens. The refractive index of the fourth lens is NdAnd the focal length is f4. The focal length of the fifth lens is f5. The projection lens satisfies 0.45 < | f4/(f5×Nd) The | is less than 1.2, so as to obtain the advantages of better imaging quality and small volume.

Description

投影镜头projection lens

技术领域technical field

本发明涉及一种镜头,且特别涉及一种投影镜头。The invention relates to a lens, and in particular to a projection lens.

背景技术Background technique

随科技进步,微型投影镜头(Pico Projection Lens)逐渐成为市场的主流之一。微型投影镜头主要市场定位在可携带的个人电子产品,因此低价格也成为重要的因素。另外,微型投影机的重要特色是光源由传统的高压汞灯(UHP)改成环保省电的发光二极管灯源。然而,在体积缩小的同时又希望能保有高亮度,因此代表着镜头有较小的数值孔径(F number),一般多为2.4。为了获得更高的光通量,数值孔径必须缩小,其中使用大光圈镜头是另一有效的方法。但是,孔径变大的同时镜片也相对变大,进而造成像差急剧增加,因此光学设计上困难度也就大大提升。一般来说,许多专利通常是使用非球面镜片来矫正像差或是增加镜片,如此一来,便会与减少成本的目标相互违背。With the advancement of technology, Pico Projection Lens has gradually become one of the mainstream in the market. The main market of micro-projection lenses is positioned in portable personal electronic products, so low price has also become an important factor. In addition, an important feature of the pico projector is that the light source is changed from the traditional high-pressure mercury lamp (UHP) to an environmentally friendly and power-saving light-emitting diode light source. However, it is hoped to maintain high brightness while reducing the size, which means that the lens has a smaller numerical aperture (F number), generally 2.4. In order to obtain higher luminous flux, the numerical aperture must be reduced, and using a large aperture lens is another effective method. However, as the aperture becomes larger, the lens becomes relatively larger, resulting in a sharp increase in aberrations, so the difficulty of optical design is greatly increased. Generally speaking, many patents usually use aspherical lenses to correct aberrations or increase lenses, which will run counter to the goal of cost reduction.

此外,微型投影镜头除了具有上述趋势外,另一重点就是短焦(ShortThrow Ratio)。意即在相对短的投影距离,可投影出大的画面。然而,大的投影角将使得光学像差大幅度增加,因而在光学设计上矫正像差亦会变得困难。In addition, in addition to the above-mentioned trends of micro-projection lenses, another key point is Short Throw Ratio. This means that a large screen can be projected at a relatively short projection distance. However, a large projection angle will greatly increase the optical aberration, so it will become difficult to correct the aberration in the optical design.

美国专利公告号第5933280号揭露一种投影镜头,其包含五个透镜,第一透镜为非球面、第二透镜为非球面、第三透镜为双凸透镜、第四透镜为非球面以及第五透镜为非球面,其中第三透镜的屈光度大于整个光学系统的屈光度的70%以上。此外,透镜使用低分散高折射材料惯用于绿色画面的投影镜头、高分散高折射材料则用于红色以及蓝色的投影镜头。U.S. Patent No. 5933280 discloses a projection lens, which includes five lenses, the first lens is aspheric, the second lens is aspheric, the third lens is biconvex, the fourth lens is aspheric and the fifth lens It is an aspheric surface, wherein the diopter of the third lens is greater than 70% of the diopter of the entire optical system. In addition, low-dispersion high-refractive materials are commonly used for projection lenses for green images, and high-dispersion high-refractive materials are used for red and blue projection lenses.

美国专利公告号第7075622号揭露一种投影镜头,其包含六个透镜,依序为负的第一透镜、正的第二透镜、负的第三透镜、负的第四透镜、正的第五透镜以及正的第六透镜,其中第四透镜以及第五透镜为胶合透镜40。另外,第一透镜以及第二透镜具有消除轴外慧差、像散以及畸变,其中适当地排列第二透镜、第三透镜以及第四透镜可以使进入第四透镜的光几乎平行于光轴而使进入第四透镜的光不会有色差的发生。U.S. Patent No. 7075622 discloses a projection lens, which includes six lenses, which are negative first lens, positive second lens, negative third lens, negative fourth lens, and positive fifth lens. lens and the positive sixth lens, wherein the fourth lens and the fifth lens are cemented lenses 40 . In addition, the first lens and the second lens have the function of eliminating off-axis coma, astigmatism and distortion, and properly arranging the second lens, the third lens and the fourth lens can make the light entering the fourth lens almost parallel to the optical axis The light entering the fourth lens will not have chromatic aberration.

美国专利公告号第6124978号揭露一种投影镜头,其为一高斯结构并包含六个透镜,其中这些透镜依序为正屈光率的第一透镜、负屈光率的第二透镜、第三透镜包含负屈光率的透镜以及正屈光率透镜、正屈光率的第四透镜以及正屈光率的第五透镜。特别的是,此结构可以达到校正像散、孔径数值小以及光学结构总长短的目的。U.S. Patent No. 6124978 discloses a projection lens, which is a Gaussian structure and includes six lenses, wherein these lenses are sequentially a first lens with a positive refractive power, a second lens with a negative refractive power, and a third lens with a negative refractive power. The lenses include a lens with negative refractive power and a lens with positive refractive power, a fourth lens with positive refractive power, and a fifth lens with positive refractive power. In particular, this structure can achieve the purpose of correcting astigmatism, small aperture value and overall length of the optical structure.

美国专利公告号第7679832号揭露一种投影镜头,其由五个透镜所组成。这些透镜依序为负屈光率的第一透镜、正屈光率的第二透镜、具有正的屈光率的第三透镜,该第三透镜包含正屈光率的透镜及负屈光率的透镜、以及正屈光率的第四透镜。此投影镜头可以达到光学结构总长短、可视角广以及分辨率高的优点。US Patent No. 7679832 discloses a projection lens composed of five lenses. These lenses are sequentially a first lens with a negative refractive power, a second lens with a positive refractive power, a third lens with a positive refractive power, and the third lens includes a lens with a positive refractive power and a lens with a negative refractive power. lens, and a fourth lens with a positive refractive power. The projection lens can achieve the advantages of short optical structure, wide viewing angle and high resolution.

发明内容Contents of the invention

本发明提出一种投影镜头,其具有较佳的成像质量与小体积的优点。The invention provides a projection lens, which has the advantages of better imaging quality and small volume.

本发明的其它目的和优点可以从本发明所揭露的技术特征中得到进一步的了解。Other purposes and advantages of the present invention can be further understood from the technical features disclosed in the present invention.

为达上述的一或部分或全部目的或是其它目的,本发明的一实施例提供一种投影镜头,其由第一透镜、第二透镜、第三透镜、第四透镜与第五透镜构成。第一透镜、第二透镜、第三透镜、第四透镜与第五透镜由放大侧至缩小侧依序排列。第一透镜、第二透镜、第三透镜、第四透镜与第五透镜的屈光度分别为负、负、正、负、正。第四透镜的屈光度大于第一透镜与第二透镜的屈光度。另外,第四透镜的折射率为Nd且焦距为f4,而第五透镜的焦距为f5,其中投影镜头满足0.45<│f4/(f5×Nd)│<1.2。其中第四透镜靠近缩小侧的表面的曲率与第五透镜靠近放大侧的表面的曲率不同,并且第三透镜、第四透镜以及第五透镜至少其二为非球面透镜。To achieve one or part or all of the above objectives or other objectives, an embodiment of the present invention provides a projection lens, which is composed of a first lens, a second lens, a third lens, a fourth lens and a fifth lens. The first lens, the second lens, the third lens, the fourth lens and the fifth lens are arranged in order from the enlargement side to the reduction side. The diopters of the first lens, the second lens, the third lens, the fourth lens and the fifth lens are respectively negative, negative, positive, negative, and positive. The diopter of the fourth lens is greater than the diopter of the first lens and the second lens. In addition, the refractive index of the fourth lens is N d and the focal length is f 4 , and the focal length of the fifth lens is f 5 , wherein the projection lens satisfies 0.45<│f 4 /(f 5 ×N d )│<1.2. The curvature of the surface of the fourth lens close to the reduction side is different from the curvature of the surface of the fifth lens close to the enlargement side, and at least two of the third lens, the fourth lens and the fifth lens are aspherical lenses.

在本发明一实施例中,第三透镜的焦距为f3,而第五透镜靠近缩小侧的表面至图像处理元件之间的距离为dBF,其中投影镜头满足0.45<dBF/f3<1.3。In one embodiment of the present invention, the focal length of the third lens is f 3 , and the distance between the surface of the fifth lens near the reduction side and the image processing element is d BF , wherein the projection lens satisfies 0.45<d BF /f 3 < 1.3.

在本发明一实施例中,第一透镜与第二透镜至少各有一表面为非球面。In an embodiment of the present invention, at least one surface of the first lens and the second lens is aspherical.

在本发明一实施例中,第三透镜、第四透镜与第五透镜至少其二各有一表面为非球面。In an embodiment of the present invention, at least two of the third lens, the fourth lens and the fifth lens each have an aspheric surface.

在本发明一实施例中,第一透镜与第二透镜各为凸面朝向放大侧的凸凹透镜。第三透镜为双凸透镜,第四透镜为双凹透镜,第五透镜为双凸透镜。In an embodiment of the present invention, each of the first lens and the second lens is a convex-concave lens with a convex surface facing the magnifying side. The third lens is a biconvex lens, the fourth lens is a biconcave lens, and the fifth lens is a biconvex lens.

在本发明一实施例中,第一透镜、第二透镜、第三透镜与第四透镜的各表面为非球面。In an embodiment of the present invention, each surface of the first lens, the second lens, the third lens and the fourth lens is aspherical.

在本发明一实施例中,第一透镜为凸面朝向放大侧的凸凹透镜,第二透镜为双凹透镜,第三透镜为双凸透镜,第四透镜为双凹透镜,第五透镜为双凸透镜。In one embodiment of the present invention, the first lens is a convex-concave lens with a convex surface facing the magnification side, the second lens is a biconcave lens, the third lens is a biconvex lens, the fourth lens is a biconcave lens, and the fifth lens is a biconvex lens.

在本发明一实施例中,第一透镜、第二透镜、第四透镜与第五透镜的各表面为非球面。In an embodiment of the present invention, each surface of the first lens, the second lens, the fourth lens and the fifth lens is aspheric.

在本发明一实施例中,投影镜头还包括孔径光阑,其中孔径光阑配置于第三透镜与第四透镜之间。In an embodiment of the present invention, the projection lens further includes an aperture stop, wherein the aperture stop is disposed between the third lens and the fourth lens.

在本发明一实施例中,投影镜头的数值孔径落在2.2与2.0之间。In an embodiment of the invention, the numerical aperture of the projection lens is between 2.2 and 2.0.

基于上述,本发明的实施例可达到下列优点或功效的至少其一。藉由第四透镜以矫正投影镜头在大光圈时所产生的球差,如此,将可在大光圈下呈现良好的图像投影。此外,投影镜头亦可同时藉由满足0.45<│f4/(f5×Nd)│<1.2,而可有效地矫正投影时所产生的色差进而可提供质量较佳的投影画面。另外,投影镜头亦可满足0.45<dBF/f3<1.3,当条件超过上限时,背焦距(Back Focal length,BF)相对变大,无法满足微型(Compact)的条件,同时轴外像差急速变差,当条件超过下限时,BF相对变小,容易与照明系统产生机构上的干涉与碰撞,且易产生周边光量不足。Based on the above, the embodiments of the present invention can achieve at least one of the following advantages or effects. The spherical aberration produced by the projection lens at large apertures is corrected by the fourth lens, so that good image projection can be presented at large apertures. In addition, the projection lens can also effectively correct the chromatic aberration generated during projection by satisfying 0.45<│f 4 /(f 5 ×N d )│<1.2 at the same time, thereby providing better quality projection images. In addition, the projection lens can also meet the requirements of 0.45<d BF /f 3 <1.3. When the condition exceeds the upper limit, the Back Focal Length (BF) will become relatively large, which cannot meet the compact condition. At the same time, the off-axis aberration Rapid deterioration. When the condition exceeds the lower limit, the BF becomes relatively small, and it is easy to interfere with and collide with the lighting system on the mechanism, and it is easy to cause insufficient peripheral light.

为让本发明的上述特征和优点能更明显易懂,下文特举多个实施例,并结合附图,作详细说明如下。In order to make the above-mentioned features and advantages of the present invention more comprehensible, a number of embodiments will be described below in detail with reference to the accompanying drawings.

附图说明Description of drawings

图1为本发明一实施例的投影镜头的示意图;1 is a schematic diagram of a projection lens according to an embodiment of the present invention;

图2A至图2D与图3为图1的投影镜头的成像光学仿真数据图;2A to 2D and FIG. 3 are imaging optical simulation data diagrams of the projection lens of FIG. 1;

图4为本发明另一实施例的投影镜头的示意图;4 is a schematic diagram of a projection lens according to another embodiment of the present invention;

图5A至图5D与图6为图4的投影镜头的成像光学仿真数据图;5A to 5D and FIG. 6 are imaging optical simulation data diagrams of the projection lens of FIG. 4;

具体实施方式Detailed ways

有关本发明的前述及其它技术内容、特点与功效,在以下结合附图的多个实施例的详细说明中,将可清楚的呈现。以下实施例中所提到的方向用语,例如「上」、「下」、「前」、「后」、「左」、「右」等,仅是参考附图的方向。因此,使用的方向用语是用来说明,而非用来限制本发明。The aforementioned and other technical contents, features and effects of the present invention will be clearly presented in the following detailed descriptions of multiple embodiments in conjunction with the accompanying drawings. The directional terms mentioned in the following embodiments, such as "upper", "lower", "front", "rear", "left", "right", etc., are only referring to the directions of the drawings. Accordingly, the directional terms are used to illustrate, not to limit, the invention.

图1为本发明一实施例的投影镜头的示意图。请参考图1,本实施例的投影镜头100包括由放大侧至缩小侧依序排列的第一透镜110、第二透镜120、第三透镜130、第四透镜140与第五透镜150。第一透镜110、第二透镜120、第三透镜130、第四透镜140与第五透镜150的屈光度分别为负、负、正、负、正。在本实施例中,第一透镜110与第二透镜120皆为凸面朝向放大侧的凸凹透镜、第三透镜130为双凸透镜、第四透镜140为双凹透镜以及第五透镜150为双凸透镜,如图1所示。FIG. 1 is a schematic diagram of a projection lens according to an embodiment of the present invention. Please refer to FIG. 1 , the projection lens 100 of this embodiment includes a first lens 110 , a second lens 120 , a third lens 130 , a fourth lens 140 and a fifth lens 150 arranged in sequence from the enlargement side to the reduction side. The diopters of the first lens 110 , the second lens 120 , the third lens 130 , the fourth lens 140 and the fifth lens 150 are negative, negative, positive, negative, and positive, respectively. In this embodiment, both the first lens 110 and the second lens 120 are convex-concave lenses with convex surfaces facing the magnification side, the third lens 130 is a biconvex lens, the fourth lens 140 is a biconcave lens, and the fifth lens 150 is a biconvex lens. Figure 1 shows.

另外,第四透镜140的屈光度大于第一透镜110与第二透镜120的屈光度,以矫正投影镜头100在进行投影时所产生的球差现象,如此,投影镜头100在进行大角度图像投影时,将可在短焦距下呈现良好的图像投影,如:高分辨率的投影图像。意即,本实施例的投影镜头100可利用第四透镜140具有较大屈光能力的特性以呈现较佳的光学表现。此外,在矫正投影镜头100在进行投影时所产生的色差现象上,投影镜头100可藉由满足下列条件式(一),而可有效地矫正投影时所产生的色差进而可提供质量较佳的投影画面。In addition, the diopter of the fourth lens 140 is greater than the diopter of the first lens 110 and the second lens 120, so as to correct the spherical aberration phenomenon generated by the projection lens 100 during projection. In this way, when the projection lens 100 performs large-angle image projection, It will be able to present good image projection at short focal length, such as: high-resolution projected image. That is to say, the projection lens 100 of the present embodiment can utilize the property of the fourth lens 140 having greater refractive power to present better optical performance. In addition, in correcting the chromatic aberration generated by the projection lens 100 during projection, the projection lens 100 can effectively correct the chromatic aberration generated during projection by satisfying the following conditional formula (1), thereby providing better quality images. Projected screen.

0.45<│f4/(f5×Nd4)│<1.2   ……………条件式(一)0.45<│f 4 /(f 5 ×N d4 )│<1.2 …………Conditional expression (1)

其中第四透镜140的折射率为Nd4且焦距为f4,而第五透镜150的焦距为f5The fourth lens 140 has a refractive index N d4 and a focal length of f 4 , and the fifth lens 150 has a focal length of f 5 .

此外,为了可使投影镜头100具有较大的系统光圈,即较小的孔径数值(F number),因此本实施例的投影镜头100可于满足上述条件式(一)下,并同时满足下列条件式(二),如此将可使投影镜头100的数值孔径落在2.2与2.0之间,甚至小于2.0。In addition, in order to enable the projection lens 100 to have a larger system aperture, that is, a smaller aperture value (F number), the projection lens 100 of this embodiment can satisfy the above conditional formula (1) and simultaneously satisfy the following conditions Formula (2), so that the numerical aperture of the projection lens 100 can fall between 2.2 and 2.0, or even less than 2.0.

0.45<dBF/f3<1.3   ……………条件式(二)0.45<d BF /f 3 <1.3 …………Conditional expression (2)

其中第三透镜130的焦距为f3,而第五透镜150靠近缩小侧的表面S10至图像处理元件160之间的距离为dBFThe focal length of the third lens 130 is f 3 , and the distance between the surface S10 of the fifth lens 150 near the reducing side and the image processing element 160 is d BF .

详细来说,第五透镜150靠近缩小侧的表面S10至图像处理元件160之间的距离为dBF会因调焦而dBF有所变动,因此,dBF可定义为投影镜头100在合理的投影距离约1M到3M时,其对焦清楚时的后焦距。在本实施例中,若投影镜头100满足dBF/f3>1.3时,dBF便会相对变大,而无法满足微型(Compact)的条件,同时轴外像差亦会急速变差;若投影镜头100满足0.45>dBF/f3时,则容易与照明系统产生机构上的干涉与碰撞,而易产生周边光量不足。换言之,投影镜头100可藉由适当地设计第三透镜130的焦距为f3与第五透镜150至图像处理元件160的距离dBF之间的关系,而可有效地提升投影画面的质量外,并可同时具有体积微型化的优点。In detail, the distance between the surface S10 of the fifth lens 150 near the reduction side and the image processing element 160 is dBF , which will vary due to focusing. Therefore, dBF can be defined as the projection lens 100 at a reasonable When the projection distance is about 1M to 3M, the back focal length when the focus is clear. In this embodiment, if the projection lens 100 satisfies d BF /f 3 >1.3, the d BF will become relatively large, which cannot satisfy the compact condition, and at the same time, the off-axis aberration will also deteriorate rapidly; if When the projection lens 100 satisfies 0.45>d BF /f 3 , it is easy to cause mechanical interference and collision with the lighting system, and it is easy to cause insufficient peripheral light. In other words, the projection lens 100 can effectively improve the quality of the projected picture by properly designing the relationship between the focal length f3 of the third lens 130 and the distance d BF between the fifth lens 150 and the image processing device 160. And it can also have the advantage of volume miniaturization.

另外,为了更进一步改善投影镜头100于投影时可能产生的彗差(Coma)、像散(Astigmatism)或畸变(Distortion)的问题,因此,第一透镜110与第二透镜120至少各有一表面为非球面,其中本实施例是以第一透镜110与第二透镜120各自的两表面皆采用非球面设计,如后续段落中的文字说明。也就是说,本实施例的投影镜头可藉由使第一透镜110与第二透镜120至少各有一表面为非球面,而可消除光轴外的像差。再者,由于本实施例的投影镜头100可呈现较大的投影角度,因此本实施例可藉由将第三透镜130、第四透镜140与第五透镜150至少其二的表面设计为非球面,以矫正投影镜头100于短焦距下投影时容易产生的畸变,其中本实施例是以第一透镜110、第二透镜120、第三透镜130与第四透镜140的各表面为非球面作为举例说明。In addition, in order to further improve the problems of coma, astigmatism or distortion that may be generated by the projection lens 100 during projection, at least one surface of the first lens 110 and the second lens 120 is The aspheric surface. In this embodiment, both surfaces of the first lens 110 and the second lens 120 are designed as aspheric surfaces, as described in the following paragraphs. That is to say, the projection lens of this embodiment can eliminate the aberration outside the optical axis by making at least one surface of the first lens 110 and the second lens 120 each be aspherical. Furthermore, since the projection lens 100 of this embodiment can exhibit a larger projection angle, this embodiment can design at least two surfaces of the third lens 130, the fourth lens 140, and the fifth lens 150 as aspheric surfaces. , to correct the distortion that the projection lens 100 tends to produce when projecting at a short focal length, wherein the present embodiment takes the surfaces of the first lens 110, the second lens 120, the third lens 130 and the fourth lens 140 as aspherical surfaces as an example illustrate.

一般而言,位于缩小侧可设置有上述的图像处理元件160(ImageProcessing Device)。在本实施例中,图像处理元件160可以是光阀(LightValve)或感光元件。另外,还可配置玻璃盖以保护图像处理元件160。在本实施例中,投影镜头100可使位于缩小侧的图像投影至放大侧,以进行图像投影。Generally speaking, the above-mentioned image processing element 160 (Image Processing Device) can be disposed on the reduction side. In this embodiment, the image processing element 160 may be a light valve (LightValve) or a photosensitive element. In addition, a glass cover may also be configured to protect the image processing element 160 . In this embodiment, the projection lens 100 can project the image on the reduction side to the enlargement side for image projection.

除此之外,投影镜头100还可包括孔径光阑170,其中孔径光阑170配置于第三透镜130与第四透镜140之间,如图1所示。In addition, the projection lens 100 may further include an aperture stop 170 , wherein the aperture stop 170 is disposed between the third lens 130 and the fourth lens 140 , as shown in FIG. 1 .

补充说明一点,于设计投影镜头100时,不限定投影镜头100需同时满足上述所列的条件,而是视光学成像质量的需求,选择性地满足上述所列的条件。As a supplementary note, when designing the projection lens 100 , it is not limited that the projection lens 100 must satisfy the conditions listed above at the same time, but the conditions listed above may be selectively satisfied depending on the requirements of optical imaging quality.

以下内容将举出投影镜头100的一实施例。需注意的是,下述的表一中所列的数据并非用以限定本发明,任何本领域技术人员在参照本发明之后,当可应用本发明的原则对其参数或设定作适当的更动,惟其仍应属于本发明的范畴内。An embodiment of the projection lens 100 will be described below. It should be noted that the data listed in the following Table 1 is not intended to limit the present invention. After referring to the present invention, any person skilled in the art can make appropriate changes to its parameters or settings by applying the principles of the present invention However, it should still belong to the scope of the present invention.

表一Table I

f3 f 3 18.34918.349 f4 f 4 -15.173-15.173 f5 f 5 11.42811.428 dBF f 16.1516.15 │f4/(f5×Nd4)││f 4 /(f 5 ×N d4 )│ 0.720.72 dBF/f3 d BF /f 3 0.880.88

在表一中,间距是指两相邻表面间于投影镜头100的光轴A上的直线距离,举例来说,表面S1的间距,即表面S1至表面S2间于光轴A上的直线距离。备注栏中各透镜所对应的厚度、折射率与阿贝数请参照同列中各间距、折射率与阿贝数对应的数值。此外,在表二中,表面S1、S2为第一透镜110的两表面,表面S3、S4为第二透镜120的两表面,其中S3表面因为非球面设计的关系该表面实质上为凸面,表面S5、S6为第三透镜130的两表面,表面S7、S8为第四透镜140的两表面,表面S9、S10为第五透镜150的两表面。有关于各表面的曲率半径、间距等参数值,请参照表一,在此不再重述。In Table 1, the spacing refers to the linear distance between two adjacent surfaces on the optical axis A of the projection lens 100, for example, the spacing of the surface S1, that is, the linear distance between the surface S1 and the surface S2 on the optical axis A . For the thickness, refractive index and Abbe number corresponding to each lens in the remarks column, please refer to the values corresponding to each pitch, refractive index and Abbe number in the same column. In addition, in Table 2, the surfaces S1 and S2 are the two surfaces of the first lens 110, and the surfaces S3 and S4 are the two surfaces of the second lens 120, wherein the surface S3 is substantially convex because of the aspherical design, and the surface S5 and S6 are two surfaces of the third lens 130 , surfaces S7 and S8 are two surfaces of the fourth lens 140 , and surfaces S9 and S10 are two surfaces of the fifth lens 150 . Please refer to Table 1 for parameters such as the radius of curvature and spacing of each surface, and will not repeat them here.

另外,上述表面S1~S8为偶次项非球面,而其可用下列公式表示:In addition, the above-mentioned surfaces S1-S8 are even-order aspheric surfaces, which can be expressed by the following formula:

ZZ == crcr 22 11 ++ 11 -- (( 11 ++ kk )) cc 22 rr 22 ++ AA 22 rr 22 ++ AA 44 rr 44 ++ AA 66 rr 66 ++ AA 88 rr 88 ++ AA 1010 rr 1010 ++ AA 1212 rr 1212 ++ AA 1414 rr 1414 ++ .. .. ..

式中,Z为光轴A方向的偏移量(Sag),c是密切球面(Osculating Sphere)的半径的倒数,也就是接近光轴A处的曲率半径(如表二中S1、S2的曲率半径)的倒数。k是二次曲面系数(Conic),r是非球面高度,即为从透镜中心往透镜边缘的高度,而A2、A4、A6、A8、A10、A12、A14...为非球面系数(Aspheric Coefficient),在本实施例中系数A2为0。下列表二所列出的是表面S1~S8的非球面参数值。In the formula, Z is the offset (Sag) in the direction of the optical axis A, and c is the reciprocal of the radius of the Osculating Sphere, that is, the radius of curvature near the optical axis A (such as the curvature of S1 and S2 in Table 2 the reciprocal of the radius). k is the quadratic surface coefficient (Conic), r is the height of the aspheric surface, which is the height from the center of the lens to the edge of the lens, and A 2 , A 4 , A 6 , A 8 , A 10 , A 12 , A 14 ... is the aspheric coefficient (Aspheric Coefficient), and the coefficient A2 is 0 in this embodiment. Table 2 below lists the aspherical parameter values of surfaces S1-S8.

表二Table II

非球面参数Aspheric parameters 二次曲面系数kQuadratic coefficient k 系数A4 Factor A 4 系数A6 Coefficient A 6 系数A8 Factor A 8 S1S1 4.48034.4803 5.1647E-55.1647E-5 -1.1645E-7-1.1645E-7 2.7073E-102.7073E-10 S2S2 0.40100.4010 3.9936E-53.9936E-5 -1.3059E-7-1.3059E-7 -4.8232E-10-4.8232E-10 S3S3 -999.7554-999.7554 2.3672E-42.3672E-4 -1.9173E-5-1.9173E-5 3.1797E-73.1797E-7 S4S4 -6.2457-6.2457 1.9143E-31.9143E-3 -5.7178E-5-5.7178E-5 8.6673E-78.6673E-7 S5S5 -1.5451-1.5451 1.5520E-41.5520E-4 2.8276E-82.8276E-8 -3.3000E-9-3.3000E-9 S6S6 -10.6950-10.6950 -3.6392E-5-3.6392E-5 3.4163E-63.4163E-6 -4.8183E-8-4.8183E-8 S7S7 -30.0000-30.0000 2.7325E-42.7325E-4 -7.7020E-5-7.7020E-5 3.9418E-63.9418E-6 S8S8 -1.7216-1.7216 3.2808E-43.2808E-4 -5.7597E-5-5.7597E-5 2.5478E-62.5478E-6

图2A至图2D与图3为图1的投影镜头的成像光学仿真数据图。详细而言,图2A为球差(Spherical Aberration)的仿真图形,其中图2A是以二种不同波长(分别为460nm、550nm)的光所模拟出来的。图2B为像散(Astigmatism)的仿真图形,其中图2B是以二种不同波长(分别为460nm、550nm)的光所模拟出来的。图2C为畸变(Distortion)的仿真图形,其中图2C是以一种波长(如:680nm)的光所模拟出来的。图2D为横向色差的仿真图形,且图2D是以一种波长(如:550nm)的光所模拟出来的。另外,图3为光扇图分析(Ray Fan)的仿真图形,其中图3是以三种不同波长(分别为460nm、550nm、680nm)的光所模拟出来的。由于图2A至图2D以及图3所显示出的图形均在标准的范围内,由此可验证本实施例的投影镜头100确实能够具有良好的光学成像质量。2A to 2D and FIG. 3 are imaging optical simulation data diagrams of the projection lens in FIG. 1 . In detail, FIG. 2A is a simulation graph of spherical aberration (Spherical Aberration), wherein FIG. 2A is simulated by light of two different wavelengths (460nm and 550nm respectively). FIG. 2B is a simulation graph of astigmatism, wherein FIG. 2B is simulated by light of two different wavelengths (460nm and 550nm respectively). FIG. 2C is a simulation graph of distortion (Distortion), wherein FIG. 2C is simulated by light of a wavelength (for example: 680nm). FIG. 2D is a simulation graph of lateral chromatic aberration, and FIG. 2D is simulated by light of a wavelength (eg: 550nm). In addition, Figure 3 is a simulation graph of Ray Fan analysis, in which Figure 3 is simulated by light of three different wavelengths (460nm, 550nm, and 680nm). Since the graphs shown in FIGS. 2A to 2D and FIG. 3 are all within the standard range, it can be verified that the projection lens 100 of this embodiment can indeed have good optical imaging quality.

图4为本发明另一实施例的投影镜头的示意图。请同时参考图1与图4,本实施例的投影镜头200与前述的投影镜头100采用相似的概念与结构。具体而言,第一透镜210为凸面朝向放大侧的凸凹透镜,第二透镜220为凸面朝向放大侧的凸凹透镜,第三透镜230为双凸透镜,第四透镜240为双凹透镜,第五透镜250为双凸透镜。在本实施例中,第一透镜210、第二透镜220、第四透镜240与第五透镜250的各表面为非球面,意即第一透镜210、第二透镜220、第四透镜240与第五透镜250是采用非球面透镜。FIG. 4 is a schematic diagram of a projection lens according to another embodiment of the present invention. Please refer to FIG. 1 and FIG. 4 at the same time. The projection lens 200 of this embodiment adopts a similar concept and structure to the aforementioned projection lens 100 . Specifically, the first lens 210 is a convex-concave lens with a convex surface facing the magnification side, the second lens 220 is a convex-concave lens with a convex surface facing the magnification side, the third lens 230 is a biconvex lens, the fourth lens 240 is a biconcave lens, and the fifth lens 250 is a biconvex lens. In this embodiment, the surfaces of the first lens 210, the second lens 220, the fourth lens 240, and the fifth lens 250 are aspheric, that is, the first lens 210, the second lens 220, the fourth lens 240, and the fifth lens The five lenses 250 are aspherical lenses.

在投影镜头200中,由于第四透镜240的屈光度亦大于第一透镜210与第二透镜220的屈光度,且投影镜头200亦满足前述条件式(一)或条件式(二),因此,本实施例的投影镜头200亦具有上述投影镜头100所提及的优点与功效。In the projection lens 200, since the diopter of the fourth lens 240 is also greater than the diopter of the first lens 210 and the second lens 220, and the projection lens 200 also satisfies the aforementioned conditional formula (1) or conditional formula (2), therefore, in this embodiment The projection lens 200 of this example also has the advantages and functions mentioned above for the projection lens 100 .

类似地,为了更进一步改善投影镜头200于投影时可能产生的彗差(Coma)、像散(Astigmatism)或畸变(Distortion)的问题,因此,第一透镜210与第二透镜220至少各有一表面为非球面,其中本实施例是以第一透镜210与第二透镜220的双面皆采用非球面设计,如后续段落中的文字说明。也就是说,本实施例的投影镜头可藉由使第一透镜210与第二透镜220至少各有一表面为非球面,而可消除光轴外的像差。再者,由于本实施例的投影镜头200可呈现较大的投影角度,因此本实施例可藉由将第三透镜230、第四透镜240与第五透镜250至少其二表面设计为非球面,以矫正投影镜头200于短焦距下投影时容易产生的畸变,其中本实施例是以第一透镜210、第二透镜220、第四透镜240与第五透镜250的各表面为非球面作为举例说明。Similarly, in order to further improve the problems of coma, astigmatism or distortion that may be generated by the projection lens 200 during projection, the first lens 210 and the second lens 220 each have at least one surface It is an aspheric surface, and in this embodiment, both surfaces of the first lens 210 and the second lens 220 adopt an aspheric design, as described in the following paragraphs. That is to say, the projection lens of this embodiment can eliminate the aberration outside the optical axis by making at least one surface of the first lens 210 and the second lens 220 each be aspherical. Furthermore, since the projection lens 200 of this embodiment can exhibit a larger projection angle, this embodiment can design at least two surfaces of the third lens 230, the fourth lens 240, and the fifth lens 250 as aspherical surfaces, In order to correct the distortion that is likely to occur when the projection lens 200 is projected at a short focal length, this embodiment is illustrated by taking the surfaces of the first lens 210, the second lens 220, the fourth lens 240, and the fifth lens 250 as aspheric surfaces. .

以下内容将举出投影镜头200的一实施例。需注意的是,下述的表三中所列的数据并非用以限定本发明,任何本领域技术人员在参照本发明之后,当可应用本发明的原则对其参数或设定作适当的更动,其仍应属于本发明的范畴内。An embodiment of the projection lens 200 will be described below. It should be noted that the data listed in the following Table 3 is not intended to limit the present invention. After referring to the present invention, any person skilled in the art can make appropriate changes to its parameters or settings by applying the principles of the present invention action, it should still belong to the scope of the present invention.

表三Table three

f3 f 3 21.12721.127

f4 f 4 -13.984-13.984 f5 f 5 8.9138.913 dBF f 16.6216.62 │f4/(f5×Nd4)││f 4 /(f 5 ×N d4 )│ 0.9610.961 dBF/f3 d BF /f 3 0.7870.787

在表三中,间距是指两相邻表面间于投影镜头200的光轴A上的直线距离,举例来说,表面S1的间距,即表面S1至表面S2间于光轴A上的直线距离。备注栏中各透镜所对应的厚度、折射率与阿贝数请参照同列中各间距、折射率与阿贝数对应的数值。此外,在表三中,表面S1、S2为第一透镜210的两表面,表面S3、S4为第二透镜220的两表面,表面S5、S6为第三透镜230的两表面,表面S7、S8为第四透镜240的两表面,表面S9、S10为第五透镜250的两表面。有关于各表面的曲率半径、间距等参数值,请参照表四,在此不再重述。In Table 3, the spacing refers to the linear distance between two adjacent surfaces on the optical axis A of the projection lens 200, for example, the spacing of the surface S1, that is, the linear distance between the surface S1 and the surface S2 on the optical axis A . For the thickness, refractive index and Abbe number corresponding to each lens in the remarks column, please refer to the values corresponding to each pitch, refractive index and Abbe number in the same column. In addition, in Table 3, the surfaces S1 and S2 are the two surfaces of the first lens 210, the surfaces S3 and S4 are the two surfaces of the second lens 220, the surfaces S5 and S6 are the two surfaces of the third lens 230, and the surfaces S7 and S8 are are the two surfaces of the fourth lens 240 , and the surfaces S9 and S10 are the two surfaces of the fifth lens 250 . For parameters such as radius of curvature and spacing of each surface, please refer to Table 4, which will not be repeated here.

另外,上述表面S1~S4、S7~S10为偶次项非球面,而其可用下列公式表示:In addition, the above-mentioned surfaces S1-S4, S7-S10 are even-order aspheric surfaces, which can be expressed by the following formula:

ZZ == crcr 22 11 ++ 11 -- (( 11 ++ kk )) cc 22 rr 22 ++ AA 22 rr 22 ++ AA 44 rr 44 ++ AA 66 rr 66 ++ AA 88 rr 88 ++ AA 1010 rr 1010 ++ AA 1212 rr 1212 ++ AA 1414 rr 1414 ++ .. .. ..

式中,Z为光轴A方向的偏移量(Sag),c是密切球面(Osculating Sphere)的半径的倒数,也就是接近光轴A处的曲率半径(如表二中S1、S2的曲率半径)的倒数。k是二次曲面系数(Conic),r是非球面高度,即为从透镜中心往透镜边缘的高度,而A2、A4、A6、A8、A10、A12、A14...为非球面系数(Aspheric Coefficient),在本实施例中系数A2为0。下列表二所列出的是表面S1~S4、S7~S10的非球面参数值。In the formula, Z is the offset (Sag) in the direction of the optical axis A, and c is the reciprocal of the radius of the Osculating Sphere, that is, the radius of curvature near the optical axis A (such as the curvature of S1 and S2 in Table 2 the reciprocal of the radius). k is the quadratic surface coefficient (Conic), r is the height of the aspheric surface, which is the height from the center of the lens to the edge of the lens, and A 2 , A 4 , A 6 , A 8 , A 10 , A 12 , A 14 ... is the aspheric coefficient (Aspheric Coefficient), and the coefficient A2 is 0 in this embodiment. Table 2 below lists the aspheric parameter values of surfaces S1-S4, S7-S10.

表四Table four

图5A至图5D与图6为图4的投影镜头的成像光学仿真数据图。详细而言,图5A为球差(Spherical Aberration)的仿真图形,其中图5A是以二种不同波长(分别为460nm、550nm)的光所模拟出来的。图5B为像散(Astigmatism)的仿真图形,其中图5B是以二种不同波长(分别为460nm、550nm)的光所模拟出来的。图5C为畸变(Distortion)的仿真图形,其中图5C是以一种波长(如:680nm)的光所模拟出来的。图5D为横向色差的仿真图形,且图5D是以一种波长(如:550nm)的光所模拟出来的。另外,图6为光扇图分析(Ray Fan)的仿真图形,其中图3是以三种不同波长(分别为460nm、550nm、680nm)的光所模拟出来的。由于图5A至图5D以及图6所显示出的图形均在标准的范围内,由此可验证本实施例的投影镜头200确实能够具有良好的光学成像质量。5A to 5D and FIG. 6 are imaging optical simulation data diagrams of the projection lens shown in FIG. 4 . In detail, FIG. 5A is a simulation graph of spherical aberration (Spherical Aberration), wherein FIG. 5A is simulated by light of two different wavelengths (460nm and 550nm respectively). FIG. 5B is a simulation graph of astigmatism, wherein FIG. 5B is simulated by light of two different wavelengths (460nm and 550nm respectively). FIG. 5C is a simulation graph of distortion, wherein FIG. 5C is simulated by light of a wavelength (eg, 680nm). FIG. 5D is a simulation graph of lateral chromatic aberration, and FIG. 5D is simulated by light of a wavelength (eg, 550 nm). In addition, Figure 6 is a simulation graph of Ray Fan analysis, in which Figure 3 is simulated by light of three different wavelengths (460nm, 550nm, and 680nm). Since the graphs shown in FIGS. 5A to 5D and FIG. 6 are all within the standard range, it can be verified that the projection lens 200 of this embodiment can indeed have good optical imaging quality.

综上所述,本发明的投影镜头至少具有以下优点。首先,藉由使第四透镜的屈光能力大于第一透镜与第二透镜的屈光能力,意即本实施例的投影镜头可利用第四透镜具有较大屈光能力的特性用以矫正投影镜头在进行投影时所产生的球差现象,如此,投影镜头在进行大角度图像投影时,将可在短焦距下呈现良好的图像投影。此外,投影镜头亦可同时藉由满足0.45<│f4/(f5×Nd4)│<1.2,而可有效地矫正投影时所产生的色差进而可提供质量较佳的投影画面。另外,投影镜头亦可满足0.45<dBF/f3<1.3,而获得较大的系统光圈,即较小的孔径数值(F number)。再者,亦可通过适当选择第一透镜、第二透镜、第三透镜、第四透镜与第五透镜至少其四各有一表面为非球面,而可改善投影镜头于投影时可能产生的彗差(Coma)、像散(Astigmatism)或畸变(Distortion)的问题。To sum up, the projection lens of the present invention has at least the following advantages. First, by making the refractive power of the fourth lens larger than that of the first lens and the second lens, it means that the projection lens of this embodiment can use the characteristics of the fourth lens having a larger refractive power to correct the projection. The spherical aberration phenomenon produced by the lens during projection, so that when the projection lens performs large-angle image projection, it will be able to present good image projection at a short focal length. In addition, the projection lens can also effectively correct the chromatic aberration generated during projection by satisfying 0.45<│f 4 /(f 5 ×N d4 )│<1.2 at the same time, thereby providing better quality projection images. In addition, the projection lens can also satisfy 0.45<d BF /f 3 <1.3, so as to obtain a larger system aperture, that is, a smaller aperture value (F number). Furthermore, it is also possible to improve the coma aberration that the projection lens may produce during projection by properly selecting at least one of the four surfaces of the first lens, the second lens, the third lens, the fourth lens, and the fifth lens to be aspherical. (Coma), astigmatism (Astigmatism) or distortion (Distortion) problems.

以上所述者,仅为本发明的优选实施例而已,当不能以此限定本发明实施的范围,即大凡依本发明权利要求及发明说明内容所作的简单的等效变化与修饰,皆仍属本发明专利涵盖的范围内。另外,本发明的任一实施例或权利要求不须达成本发明所揭露的全部目的或优点或特点。此外,摘要部分和标题仅是用来辅助专利文件搜寻之用,并非用来限制本发明的权利范围。另外,说明书中提及的第一透镜、第二透镜…等用语,仅用以表示元件的名称,并非用来限制元件数量上的上限或下限。The above are only preferred embodiments of the present invention, and should not limit the scope of the present invention with this, that is, all simple equivalent changes and modifications made according to the claims of the present invention and the contents of the description of the invention still belong to Within the scope covered by the patent of the present invention. In addition, any embodiment or claim of the present invention does not necessarily achieve all the objects or advantages or features disclosed in the present invention. In addition, the abstract and the title are only used to assist in the search of patent documents, and are not used to limit the scope of rights of the present invention. In addition, terms such as first lens, second lens, etc. mentioned in the specification are only used to indicate the names of components, and are not used to limit the upper limit or lower limit of the number of components.

Claims (10)

1. a projection lens, be made up of the first lens, the second lens, the 3rd lens, the 4th lens and the 5th lens, described first lens, described second lens, described 3rd lens, described 4th lens and described 5th lens by Zoom Side to reduced side sequential, and the diopter of described first lens, described second lens, described 3rd lens, described 4th lens and described 5th lens is respectively negative, negative, positive, negative, positive, the diopter of described 4th lens is greater than the diopter of described first lens and described second lens
The refractive index of wherein said 4th lens is N d4and focal length is f 4, the focal length of described 5th lens is f 5, described projection lens meets 0.45< │ f 4/ (f 5× N d4) │ <1.2,
The curvature of wherein said 4th lens near the surface of reduced side is different from the curvature of described 5th lens near the surface of Zoom Side, and described 3rd lens, described 4th lens and described 5th lens at least it two is non-spherical lens.
2. projection lens as claimed in claim 1, the focal length of wherein said 3rd lens is f 3, the distance of described 5th lens between the surface of described reduced side to image processing elements is d bF, described projection lens meets 0.45<d bF/ f 3<1.3.
3. projection lens as claimed in claim 1, wherein said first lens and described second lens at least respectively have a surface for aspheric surface.
4. projection lens as claimed in claim 1, at least it two respectively has a surface to be aspheric surface for wherein said 3rd lens, described 4th lens and described 5th lens.
5. projection lens as claimed in claim 1, wherein said first lens and described second lens are respectively the meniscus convex surface facing described Zoom Side, described 3rd lens are biconvex lens, and described 4th lens are biconcave lens, and described 5th lens are biconvex lens.
6. projection lens as claimed in claim 5, each surface of wherein said first lens, described second lens, described 3rd lens and described 4th lens is aspheric surface.
7. projection lens as claimed in claim 1, wherein said first lens are the meniscus convex surface facing described Zoom Side, and described second lens are biconcave lens, and described 3rd lens are biconvex lens, described 4th lens are biconcave lens, and described 5th lens are biconvex lens.
8. projection lens as claimed in claim 7, each surface of wherein said first lens, described second lens, described 4th lens and described 5th lens is aspheric surface.
9. projection lens as claimed in claim 1, also comprises:
Aperture diaphragm, is configured between described 3rd lens and the 4th lens.
10. projection lens as claimed in claim 1, the numerical aperture of wherein said projection lens drops between 2.2 and 2.0.
CN201110325104.6A 2011-10-24 2011-10-24 Projection lens Expired - Fee Related CN103064175B (en)

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