TW201200931A - Six-piece imaging lens module - Google Patents

Six-piece imaging lens module Download PDF

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Publication number
TW201200931A
TW201200931A TW99119854A TW99119854A TW201200931A TW 201200931 A TW201200931 A TW 201200931A TW 99119854 A TW99119854 A TW 99119854A TW 99119854 A TW99119854 A TW 99119854A TW 201200931 A TW201200931 A TW 201200931A
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Taiwan
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lens
focal length
length value
piece imaging
set described
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TW99119854A
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Chinese (zh)
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TWI407184B (en
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Fei-Hsin Tsai
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Newmax Technolgy Co Ltd
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Publication of TWI407184B publication Critical patent/TWI407184B/en

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Abstract

A six-piece imaging lens module includes a first lens, a fixed aperture stop, a second lens, a third lens, a fourth lens, a fifth lens and a sixth lens sequentially disposed between an object and an image. The first lens is a negative meniscus, and the first lens has a convex surface disposed toward the object. The second lens is a positive lens, and the second lens has a convex surface disposed toward the image. The third lens is a positive lens, and the third lens has a convex surface disposed toward the object. The fourth lens is a negative lens, and the fourth lens has a concave surface disposed toward the image. The fifth lens is a positive lens, and the fifth lens has a convex surface disposed toward the image. The fourth and the fifth lenses are bonded to form a composite lens. The sixth lens has a convex surface toward the object near the axis.

Description

201200931 六、發明說明: 【發明所屬之技術領域】 本發明係涉及光學鏡頭領域,尤指一種具大光圈、高解像度 之六片式成像鏡片組。 【先前技術】 按’目前光學鏡頭於現今數位影像領域的運用日益倍增,特 別是用於行動電話產品、遊戲機、PC CAM、DSC或DVC等數位 載體上。隨著產業研發與市場趨勢下,上述之數位載體已朝向小 型化發展’亦即強調結構的輕薄短小、高性能表現與規模經濟的 效應,因此於載體中的鏡頭組也相對需達到小型化,故成像鏡片 組的發展亦隨著該趨勢而改良創新’且擁有高品質的成像鏡片組 更是廠商於產業競爭中的關鍵零組件。 然,於習知技術中皆以利用三或四枚鏡片構成的鏡頭組, 因為色差與像差過大,而無法獲得高成像品質,則不適用於高階 的鏡頭組中,若確保高成像品質時,其光學長會變長,這在一般 小型的電子載體中,會因受空間限制而無法達到空間與品質兼顧 的效果。 另外,我國公開第200923467號專利案揭示了 一利用五牧鏡 片所構成的成像鏡片組,惟如何更進一步地提升成像品質,仍為 本業界人士極力努力的方向。 【發明内容】 本發明主要目的係提供一種在大光圈、大晝角條件下提升 201200931 晝質之六片式成像鏡片組。 一光If上揭目的’本發明之成像制組她含—111定光襴和 先予組,該光學組係由一第一鏡片、-第二鏡片、-第三於 2、-第四鏡片、—第五鏡片及一第六鏡片所組成,其: 式從物側至像側之順序為: 方 該第一鏡片’係具有負屈光力弯月形之透鏡且朝向物侧為 凸面’且其至少—面為非球面; *'201200931 VI. Description of the Invention: [Technical Field] The present invention relates to the field of optical lenses, and more particularly to a six-piece imaging lens set having a large aperture and a high resolution. [Prior Art] Pressing the current optical lens is increasingly used in today's digital imaging field, especially for digital telephones such as mobile phone products, game consoles, PC CAM, DSC or DVC. With the development of the industry and the market trend, the above-mentioned digital carriers have been developed toward miniaturization, which emphasizes the effect of thin, short, high-performance performance and economies of scale of the structure. Therefore, the lens group in the carrier also needs to be miniaturized. Therefore, the development of the imaging lens group has also been improved with this trend' and the high-quality imaging lens group is a key component of the manufacturer's competition in the industry. However, in the prior art, a lens group composed of three or four lenses is used, and since the chromatic aberration and the aberration are too large to obtain high image quality, it is not suitable for a high-order lens group, and high image quality is ensured. The optical length will be longer, which is in the small electronic carrier, and it is impossible to achieve both space and quality due to space constraints. In addition, the patent No. 200923467 of the Chinese Patent Publication No. 200923467 discloses an imaging lens group which utilizes a five-grass lens, but how to further improve the image quality is still a direction of efforts of the industry. SUMMARY OF THE INVENTION The main object of the present invention is to provide a six-piece imaging lens set that enhances 201200931 enamel under conditions of large aperture and large angle. The invention of the imaging system of the present invention comprises a -111 fixed light and a pre-set, the optical set consists of a first lens, a second lens, a third second, a fourth lens, a fifth lens and a sixth lens, wherein: the order from the object side to the image side is: the first lens 'has a lens having a negative refractive power meniscus and is convex toward the object side' and at least - the surface is aspheric; *'

該光攔; 該第一鏡# ’係具有正屈光力之透鏡且朝向像侧為凸面, 且其至少一面為非球面; 該第三鏡片’係具有正屈光力之透鏡且朝向物側為凸面, 且其至少一面為非球面; 該第四鏡片’係具有貞贱力之透鏡且朝向像侧為凹面; 該第五鏡片,係具有正狀力之透鏡且躺像側為凸面, 且第四第五鏡片係彼此黏合而成一複合透鏡; 該第六鏡丨,伽向物側在靠近光細近為凸面之透鏡, 且其至少一面為非球面。 至於’上述成像鏡片組之結構設計,兹配合相關圖示及後 述之實施例說明如后。 【實施方式】 本發明採用有關合適的實施例並以圖式作為說明,其中, 本發明各實施例的數值變化皆屬設計所得,即使其他具有相同 201200931 結構的產品運用不同數值,仍應屬於本發明的保護範疇,合先 敘明。 請參閱圖1、圖2,二實施例所示之六片式成像鏡片組,本 發明可用以裝置於輕薄短小的數位載體上。於實施例中,該成 像鏡片組包含有一固定光襴1和一光學組,該光學組係由第 一、第二、第三、第四、第五、第六鏡片U、L2、L3、L4、 L5、L6所組成,其排列方式從物側A至像側B之順序為: 該第一鏡片L1,係具有負屈光力彎月形之透鏡且朝向物侧 為凸面’且其至少一面為非球面; 該光攔1 ; 該第二鏡片L2,係具有正屈光力之透鏡且朝向像側為凸 面’且其至少·一面為非球面; 該第三鏡片L3,係具有正屈光力之透鏡且朝向物侧為凸 面,且其至少一面為非球面; 該第四鏡片L4,係具有負屈光力之透鏡且朝向像側為凹 面; 該第五鏡壯5 ’係具有正屈光力之透鏡且朝向像侧為凸 面’且第四、第五鏡壯4、L5係彼此黏合而成—複合透鏡; 該第六鏡片L6 ’係朝向物側在靠近光軸附近為凸面之透 鏡, 且其至少一面為非球面。 前述本發明祕即是由六枚鏡片構成之光學組,而位於第 六鏡片L6後方之第-平面平板玻璃2,具有過遽紅外線之功 201200931 效;另於像側B前亦再設一第二平面平板玻璃3,該第二平面 平板玻璃3具有保護感光元件之作用,該第一、第二平面平板 玻璃2、3依配適不同封裝結構之影像感測器可增、減,達到更 佳影像品質,另於像侧B處配置之感光元件,則可依實際需求 選擇CCD或CMOS等。 另外,本發明之收差圖以非點收差、歪曲收差和球面收差 如圖1A及圖2A所示’無論何種收差圖皆是關於d線的數據 資料’而非點收差是關於S像面(SAGITTAL)的數據資料跟 關於T像面(TANGENTIAL)數據資料,並將之做示意表現; 且由收差圖可清楚獲知’本發明之收差補正都是完整模擬設計 所得’在使用上已沒有任何問題。 復,參照本發明圖1B及圖2B,係本發明二實施例之非球 面數據資料’最上方數據係本發明光學組各鏡片諸元之代號: F.No.:該F值於光學設計時,代表亮度參數,其中f值 愈小表示光亮度愈高; 畫角· 2 c〇 ; 焦點距離f: f為光學組之合成焦點距離(mm)。 而下方 2、3、6、7、8、9、10、11、12、13、14、15、 16、17、18是物體側起依序的透鏡面號數表示;面號數2、3 為第一鏡片L1的二面’面號數6、7為第二鏡片L2的二面, 面號數8、9為第三鏡片L3的二面,面號數10、11、12為第 四鏡片L4及第五鏡片L5黏合而成複合透鏡的鏡面,面號數 7 201200931 13、Μ為第六鏡片£6的二面,]5、16及n、J8分別為第一 平面平板玻璃2及第二平面平板玻璃 3的二面。 本發明為求能改善習知成像鏡片組之不足,本發明上述鏡 片組較佳者係滿足以下條件: 首先,必須控制第一鏡片L1與第二鏡片L2之焦距值: 〇.6<|fl|/|f2|<2.〇 » 其中fl為第一鏡片L1的焦距值,β為第二鏡片u的焦 距值; … 接著,必須控制第二、第三鏡片L2、u間之焦距值,才 月b與第一、二鏡片Li、L2之焦距相互配合: 03 <|£2|/|β|< 1.〇 , 其中β為第二鏡片L2的焦距值,β為第三鏡片u的隹 距值; … 再者,亦需控制第三鏡片L3之焦距值與第四、第五鏡片 L4、L5的焦距值比率: 〇<|f3|/|f45|<〇.6, 其中β為第三鏡片的焦距值,f*45為第四、第五鏡片的合 成焦距值; σ 此外亦尚控制第四、第五鏡片L4、L5之焦距值與第六 鏡片L6的焦距比: ' 1.5<|f45|/|f6|<7, 其中粥為第四鏡片、第五鏡片的合成焦距值,历為第六 8 201200931 鏡片的焦距值; 另外’為求達到高品質成像,而必須控制第一鏡片的第一 面到成像面之間的距離: 〇.l<|f/TL|<〇.6 ; 其中TL為第一鏡片的第一面到成像面之間距離,f為整 個鏡片組的焦距值。 _ 滿足上述光學式’則可令六片式成像鏡片組具有較佳成像 品質,反之,若小於或超出上述光學式之數據值範圍,則會導 致六片式成像鏡片組之性能、解像力低,以及良率不足等問題。 此外,本發明光學組之部分鏡片中,因至少一面可為非球 面形狀,該非球面的面型須滿足下列公式: 一一 ch2 Γ+[1-(ΛΪΐρρρ- + Ah4 + Bh6 + Ch% + Dh10 + Ehn + Ghu +.......... 其中z為沿光軸方向在高度為h的位置以表面頂點作參 % 考的位置值;k為錐常度量;c為曲率半徑的倒數;A、B、c、 D、E、G、......為高階非球面係數。 、冰上所这本發明係運用第四、第五鏡片L4、L5相互黏 合後’使成像色差賴被有效控制,且讓色敎為飽和,另於 該第四、第五鏡片所組成之複合鏡片前增設-第三鏡片L3, 可在大光目、大晝肖的條件下纽提升晝f,實有助於數位攝 影載體之小型化、高晝素需求,及製造容易各方面需求,乃屬 新賴並兼具實用、好用進步性之發明設計羡依法提起專利 201200931 申請,鑑請鈞局早日核予專利,實感德便。 【圖式簡單說明】 圖1係本發明第一實施例之鏡片組成圖。 圖1A係本發明第一實施例之收差圖。 圖1B係本發明第一實施例之光學特性數據與非球面係數資料 示意圖。 圖2係本發明第二實施例之鏡片組成圖。 圖2A係本發明第二實施例之收差圖。 圖2B係本發明第二實施例之光學特性數據與非球面係數資料 示意圖。 【主要元件符號說明】 L2 :第二鏡片 L3 :第三鏡片 L4 :第四鏡片 L5 :第五鏡片 L6 :第六鏡片 A :物側 B :像侧 1 :光欄 2:第一平面平板玻璃 3:第二平面平板玻璃 L1 :第一鏡片The first mirror #' is a lens having a positive refractive power and is convex toward the image side, and at least one side thereof is aspherical; the third lens is a lens having a positive refractive power and is convex toward the object side, and At least one side is aspherical; the fourth lens is a lens having a force and is concave toward the image side; the fifth lens is a lens having a positive force and the image side is convex, and the fourth fifth The lenses are bonded to each other to form a composite lens; the sixth mirror has a lens on the side of the illuminant near the light and a convex surface, and at least one side thereof is aspherical. As for the structural design of the above-mentioned imaging lens group, the following description will be given in conjunction with the related drawings and the following examples. [Embodiment] The present invention adopts a suitable embodiment and is illustrated by the drawings. The numerical changes of the embodiments of the present invention are all designed. Even if other products having the same 201200931 structure use different values, they should belong to the present invention. The scope of protection of the invention is described in advance. Referring to Figures 1, 2 and the six-piece imaging lens set shown in the second embodiment, the present invention can be applied to a light, thin and short digital carrier. In an embodiment, the imaging lens set includes a fixed aperture 1 and an optical group consisting of first, second, third, fourth, fifth, and sixth lenses U, L2, L3, and L4. , L5, L6, the order of arrangement from the object side A to the image side B is: the first lens L1 is a lens having a negative refractive power meniscus and is convex toward the object side and at least one side thereof is non- The second lens L2 is a lens having a positive refractive power and is convex toward the image side and at least one side thereof is aspherical; the third lens L3 is a lens having a positive refractive power and facing the object The side is a convex surface, and at least one side thereof is aspherical; the fourth lens L4 is a lens having a negative refractive power and is concave toward the image side; the fifth mirror is a lens having a positive refractive power and a convex surface toward the image side. 'The fourth and fifth mirrors are strong, and the L5 is bonded to each other to form a composite lens; the sixth lens L6' is a lens that is convex toward the object side near the optical axis, and at least one side thereof is aspherical. The aforementioned invention is an optical group consisting of six lenses, and the first-plane flat glass 2 located behind the sixth lens L6 has the effect of the infrared ray infrared 201200931; and the image side B is also provided with a first The second flat plate glass 3 has the function of protecting the photosensitive element, and the first and second flat plate glasses 2 and 3 can be increased or decreased according to the image sensor suitable for different package structures, and the image sensor can be increased or decreased. Good image quality, and the photosensitive element configured on the side B, you can choose CCD or CMOS according to actual needs. In addition, the difference graph of the present invention uses non-point difference, distortion, and spherical aberration as shown in FIG. 1A and FIG. 2A. 'No matter what kind of difference map is about the data of the d line', instead of the point difference. It is about the data of S image (SAGITTAL) and the data of TANGENTIAL, and it is shown in the figure; and it can be clearly seen from the difference chart. 'The compensation of the invention is the complete simulation design. 'There is no problem in use. Referring to FIG. 1B and FIG. 2B of the present invention, the aspherical data of the second embodiment of the present invention is the code of the top of each optical component of the optical group of the present invention: F. No.: the F value is in optical design , representing the brightness parameter, wherein the smaller the f value, the higher the brightness; the angle of drawing · 2 c〇; the focal distance f: f is the combined focus distance (mm) of the optical group. The lower 2, 3, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18 are the number of lens surface numbers in the order of the object side; the number 2, 3 The two faces of the first lens L1 are the two faces of the second lens L2, and the number 8 and 9 are the two faces of the third lens L3, and the face numbers 10, 11, and 12 are the fourth. The lens L4 and the fifth lens L5 are bonded to form a mirror surface of the composite lens, the surface number 7 201200931 13 and the second surface of the sixth lens £6, 5, 16 and n, J8 are the first flat plate glass 2 and Two sides of the second flat plate glass 3. In order to improve the deficiencies of the conventional imaging lens group, the lens group of the present invention preferably satisfies the following conditions: First, the focal length values of the first lens L1 and the second lens L2 must be controlled: 〇.6<|fl |/|f2|<2.〇» where fl is the focal length value of the first lens L1, β is the focal length value of the second lens u; ... Next, the focal length value between the second and third lenses L2 and u must be controlled , the monthly b is matched with the focal lengths of the first and second lenses Li and L2: 03 <|£2|/|β|< 1.〇, where β is the focal length value of the second lens L2, and β is the third The distance value of the lens u; ... Moreover, it is also necessary to control the focal length value of the third lens L3 and the focal length ratio of the fourth and fifth lenses L4, L5: 〇 <|f3|/|f45|<〇. 6, where β is the focal length value of the third lens, f*45 is the composite focal length value of the fourth and fifth lenses; σ also controls the focal length value of the fourth and fifth lenses L4 and L5 and the sixth lens L6 Focal length ratio: '1.5<|f45|/|f6|<7, where porridge is the composite focal length value of the fourth lens and the fifth lens, which is the focal length value of the sixth 8 201200931 lens; High quality imaging, and must control the distance from the first side of the first lens to the imaging surface: 〇.l<|f/TL|<〇.6; where TL is the first side of the first lens to the imaging surface The distance between f and f is the focal length value of the entire lens group. _ satisfying the above optical type can make the six-piece imaging lens set have better imaging quality. Conversely, if it is less than or exceeds the above-mentioned optical data value range, the performance and resolution of the six-piece imaging lens set are low. And problems such as insufficient yield. In addition, in some lenses of the optical group of the present invention, since at least one side may have an aspherical shape, the aspherical surface shape must satisfy the following formula: one by one ch2 Γ+[1-(ΛΪΐρρρ- + Ah4 + Bh6 + Ch% + Dh10 + Ehn + Ghu +.......... where z is the position value at the height h of the position along the optical axis with the surface apex as a reference; k is the cone constant metric; c is the radius of curvature Reciprocal; A, B, c, D, E, G, ... are high-order aspheric coefficients. The invention on ice uses the fourth and fifth lenses L4, L5 to adhere to each other. The color difference is effectively controlled, and the color 敎 is saturated, and the third lens L3 is added in front of the composite lens composed of the fourth and fifth lenses, which can be raised under the condition of large light and large 昼. f, it really contributes to the miniaturization of digital photographic carriers, the demand for high-quality products, and the ease of manufacturing. It is a new and practical design that is both practical and easy to use. The 钧 早 核 早 早 早 早 早 早 。 。 。 。 。 。 。 。 。 。 。 。 。 。 。 。 。 。 。 Figure 1A is a diagram showing the difference between the optical characteristic data and the aspherical coefficient data of the first embodiment of the present invention. Fig. 2 is a diagram showing the composition of the lens of the second embodiment of the present invention. Fig. 2A is a diagram showing the difference between the optical characteristic data and the aspherical coefficient data of the second embodiment of the present invention. [Main element symbol description] L2: second lens L3: third Lens L4: fourth lens L5: fifth lens L6: sixth lens A: object side B: image side 1: diaphragm 2: first flat plate glass 3: second flat plate glass L1: first lens

Claims (1)

201200931 七、申請專利範圍: 1. -種六片式成像鏡版,係包含有—固定光襴和―光與組, 該光學組係由一第一鏡片、一第二鏡片、-第三鏡片Γ1第 四鏡片、-第五鏡片及_第六鏡片所組成,其排列方式從物 側至像側之順序為: 該第-鏡片’係具有負屈光力彎月形之透鏡且朝向物 面,且其至少一面為非球面;201200931 VII. Patent application scope: 1. A six-piece imaging mirror, which includes a fixed aperture and a light and a group, the optical group consists of a first lens, a second lens, and a third lens. The fourth lens, the fifth lens and the sixth lens are arranged in an order from the object side to the image side: the first lens 'has a lens having a negative refractive power and is facing the object surface, and At least one side thereof is aspherical; 該光攔; 該第二鏡片’储有正屈光力之透鏡且朝向像側為凸面,且 其至少一面為非球面; 該第三鏡片,係具有正屈光力之透鏡且朝向物側為凸面且 其至少一面為非球面; 該第四鏡片,係具有負屈光力之透鏡且朝向像側為凹面; 該第五鏡;i ’係具有正屈光力之魏且朝向細為凸面,且 第四、第五鏡片係彼此黏合而成-複合透鏡; 該第六鏡卩’軸向物侧在#近光細近為凸面之透鏡,且 其至少一面為非球面。 2.如申請專利範圍第i項所述之六片式成像鏡片組,係滿足以 下條件: 〇.6<|fl|/|f2|<2.0 » 其中fl為第-鏡片的焦距值,β為第二鏡片的焦距值。 3·如申請專利範圍第1項所述之六片式成像鏡片組,係滿足以 201200931 下條件: 0.3 <|f2|/|f3|<L〇, 其中£2為第二鏡片的焦距值,β為第三鏡片的焦距值。 4. 如申請專利範圍第2項所述之六片式成像鏡片組,係滿足以 下條件: °-3 <|f2|/|f3|<i.〇 , 其中Ω為第二鏡片的焦距值,β為第三鏡片的焦距值。 5. 如申請專利範圍第1項所述之六片式成像鏡片組,係滿足以# 下條件: 〇 <|f3|/|f45|< 0.6, 其中f3為第三鏡片的焦距值,f45為第四、第五鏡片的合成 焦距值。 6. 如申請專利範圍第4項所述之六片式成像鏡片組,係滿足以 下條件: 0<|β_5|<〇.6, φ 其中f3為第三鏡片的焦距值,f45為第四、第五鏡片的合成 焦距值。 7. 如申請專利範圍第1項所述之六片式成像鏡片組,係滿足以 下條件: 1.5<|f45|/|f6丨<7, 其中f45為第四鏡片、第五鏡片的合成焦距值,f6為第六鏡 片的焦距值。 12 201200931 8. 如申請專利範圍第6項所述之六片式成像鏡片組,係滿足以 下條件: 1.5<|f45|/|f6|<7, 其中f45為第四鏡片、第五鏡片的合成焦距值,f6為第六鏡 片的焦距值。 9. 如申請專利範圍第1項所述之六片式成像鏡片組,係滿足以 下條件: • 0.1<|f/TL|<0.6, 其中TL為第一鏡片的第一面到成像面之間距離,f為整個 鏡片組的焦距值。 10. 如申請專利範圍第1項所述之六片式成像鏡片組,其中所述 非球面的面型滿足下列公式: ru2 z =---+ AhA + Bh6 + Chs + Dh10 + Eh'2 + Gh'4 +.......... l + [l-(A: + l)c2^2]05 其中z為沿光轴方向在高度為h的位置以表面頂點作參考 • 的位置值;k為錐常度量;c為曲率半徑的倒數;A、B、C、 D、E、G、......為高階非球面係數。 13The second lens 'has a lens having a positive refractive power and is convex toward the image side, and at least one side thereof is aspherical; the third lens is a lens having a positive refractive power and is convex toward the object side and at least One side is an aspherical surface; the fourth lens is a lens having a negative refractive power and is concave toward the image side; the fifth mirror; i ' has a positive refractive power and is oriented toward a thin convex surface, and the fourth and fifth lens systems Bonding to each other - a composite lens; the sixth mirror 卩 'axial object side of the lens in the near-light close-up convex surface, and at least one side thereof is aspherical. 2. The six-piece imaging lens set described in claim i of the patent scope satisfies the following condition: 〇.6<|fl|/|f2|<2.0 » wherein fl is the focal length value of the first lens, β Is the focal length value of the second lens. 3. The six-piece imaging lens set described in claim 1 is satisfied with the condition of 201200931: 0.3 <|f2|/|f3|<L〇, where £2 is the focal length of the second lens The value, β is the focal length value of the third lens. 4. The six-piece imaging lens set described in claim 2, the following conditions are met: °-3 <|f2|/|f3|<i.〇, where Ω is the focal length of the second lens The value, β is the focal length value of the third lens. 5. The six-piece imaging lens set described in claim 1 is satisfied with the following condition: 〇<|f3|/|f45|< 0.6, where f3 is the focal length value of the third lens, F45 is the composite focal length value of the fourth and fifth lenses. 6. For the six-piece imaging lens set described in claim 4, the following conditions are met: 0<|β_5|<〇.6, φ where f3 is the focal length of the third lens, and f45 is the fourth The composite focal length value of the fifth lens. 7. The six-piece imaging lens set described in claim 1 is characterized by the following conditions: 1.5 <|f45|/|f6丨<7, wherein f45 is the synthesis of the fourth lens and the fifth lens The focal length value, f6 is the focal length value of the sixth lens. 12 201200931 8. The six-piece imaging lens set described in claim 6 is characterized by the following conditions: 1.5 <|f45|/|f6|<7, where f45 is the fourth lens and the fifth lens The composite focal length value, f6 is the focal length value of the sixth lens. 9. The six-piece imaging lens set described in claim 1 is characterized by: • 0.1 <|f/TL| < 0.6, wherein TL is the first side of the first lens to the imaging surface The distance between f and f is the focal length value of the entire lens group. 10. The six-piece imaging lens set according to claim 1, wherein the aspherical surface shape satisfies the following formula: ru2 z =---+ AhA + Bh6 + Chs + Dh10 + Eh'2 + Gh'4 +.......... l + [l-(A: + l)c2^2]05 where z is the reference to the surface apex at the height h position along the optical axis. Position value; k is the cone constant metric; c is the reciprocal of the radius of curvature; A, B, C, D, E, G, ... are high-order aspheric coefficients. 13
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