TW521169B - Fiber collimator mixing fiber lens and ball lens - Google Patents
Fiber collimator mixing fiber lens and ball lens Download PDFInfo
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經濟部中央標準局員工消費合作社印製 521169 6176twf.doc/006 A7 B7 五、發明説明(z) 爲了使單模光纖射出之雷射光成爲準直光,並且縮小 元件體積,如美國專利US4737006利用純矽棒(Pure Silica Rod)與一般單模光纖(Single Mode Fiber)先熔 接,再將純砂棒切剩一小段,最後以加熱方式將純砂棒的 端面燒成弧面,此一端弧面之純矽棒即爲一光纖透鏡。第 1圖係顯示出依據上述習知技術之光纖準直器,其中符號 1〜單模光纖、2〜光纖透鏡、L〜光纖透鏡2之長度、r〜光纖 透鏡2之曲率半徑、ns〜光纖透鏡2之折射率、2WQ〜雷射光 自單模光纖1射出時之光斑點直徑、2Wi〜雷射光自光纖透 鏡2射出時之光斑點直徑、P-光腰位置(Beam Waist)、2WZ〜 自光纖透鏡端點起距離Z處之光腰位置P上之光斑點直 徑,其中Z亦即爲兩支光纖準直器對耦時工作距離 (Working Distance)之一半。以此方式製成的光纖準直器 最大缺點在於,當兩支光纖準直器對耦時,工作距離較 短,因此難以插.入其它光學元件.,以製成上述光纖通訊元 件。第2圖係顯示出第1圖之習知光纖準直器在r=62.5pm 時,光纖透鏡長度L對Ζ間之關係圖式。由第2圖可知, Ζ之最大値約爲293μηι,亦即,兩個光纖透鏡對耦時之最 大工作距離2Ζ約爲586μηι。第3圖係顯示出第1圖之習知 光纖準直器在Γ=62·5μΐϊΐ時,光斑點直徑2WZ對光纖透鏡長 度L間之關係圖式。第4圖係顯示出第1圖之習知光纖準 直器在Γ=70μΐΏ時,光斑點直徑2WZ對光纖透鏡長度L間之 關係圖式。 另外,如美國專利US4304461利用球透鏡(Ball Lens) 4 本紙張尺度適用中國國家標準(CNS ) A4規格(210X297公釐) " ' (請先閱讀背面之注意事項再填寫本頁) 訂 521169 A7 B7 6176twf.doc/〇〇6 五、發明説明(3 ) 來組成光纖準直器’以做爲光纖連接器(Fiber Connector)。第5圖係顯不出依據上述習知技術之光纖準 直器,其中符號1〜單模光纖、3〜球透鏡、L〜單模光纖1與 球透鏡3間之距離、R〜球透鏡3之曲率半徑、nB〜球透鏡3 之折射率、雷射光自單模光纖1射出時之光斑點直 徑、P-光腰(Beam Waist)位置、2Wr球透鏡3接收到雷射 光時之光斑點直徑、2WZ〜自球透鏡3端點起距離Z處之光 腰位置P上之光斑點直徑,其中Z亦即爲工作距離之一 半。第6圖係顯示出第5圖之習知光纖準直器之光纖與球 透鏡間距離對Z間之關係圖式。當利用球透鏡來製造光纖 準直器時,球透鏡之直徑愈大,兩光纖準直器對親時之最 長工作距離將愈長。反之,當球透鏡之直徑愈小,兩光纖 準直器對耦時之最長工作距離將愈短。亦即,當光纖準直 器尺寸較大時,兩光纖準直器對耦時之最長工作距離較 長。反之,光纖準直器尺寸較小,兩光纖準直器對耦時之 最長工作距離較短,故兩者無法兼顧。 有鑑於此,本發明的主要目的在於提出一種混合光纖 透鏡與球透鏡之光纖準直器,其不但可縮小光纖準直器之 尺寸,並且能兼顧到兩光纖準直器對親時,能有較長之工 作距離,以便能插入額外之光學元件,藉以製作各種不同 之光纖通訊元件,例如:光纖隔絕器、高密度波長多工器、 光纖衰減器、光纖循環器等,降低光纖通訊元件封裝後之 體積。 爲達成本發明之上述和其他目的,本發明之混合光,懺 5 本紙張尺度適用中國國家標準(CNS ) A4規格(210X 297公釐) 丨—·---.-----^^衣-- (請先閲讀背面之注意事項再填寫本頁) 訂 經濟部中央標準局員工消費合作社印製 經濟部中央榡準局員工消費合作衽印製 521169 6176twf.doc/006 A7 B7 五、發明説明(4» ) 透鏡與球透鏡之光纖準直器包括:一單模光纖、一光纖透 鏡以及一球透鏡。上述光纖透鏡是設置於單模光纖之一 側,並且連接至單模光纖之一端。上述球透鏡設置於光纖 透鏡之同一側上,並且與單模光纖及光纖透鏡成一直線, 其中一雷射光自上述單模光纖朝光纖透鏡射出後,經由上 述光纖透鏡與球透鏡後,聚焦於球透鏡之後方。 本發明之混合光纖透鏡與球透鏡之光纖準直器之優點 在於:在不增加體積之情況下,可獲得較長之工作距離。 爲讓本發明之上述和其他目的、特徵、和優點能更明 顯易懂,下文特舉一較佳實施例,並配合所附圖式,作詳 細說明如下: 圖式之簡單說明: 第1圖係顯示出一習知傳統光纖透鏡式光纖準直器之 示意圖; 弟2圖係顯不出第1圖之習知光纖準直器在r2.5 μιη 時,光纖透鏡長度L對Ζ間之關係圖式; 第3圖係顯示出第1圖之習知光纖準直器在r=62.5|Llm 時’光斑點直徑2WZ對光纖透鏡長度L間之關係圖式; 第4圖係顯示出第1圖之習知光纖準直器在ρ70μηι 時’光斑點直徑2WZ對光纖透鏡長度L間之關係圖式; 第5圖係顯示出另一習知球透鏡式光纖準直器; 第6圖係顯示出第5圖之習知光纖準直器之光纖與球 透鏡間距離L對Ζ之關係圖式。 第7圖係顯示出依據本發明之一種混合光纖透鏡與球 6 11 · . -- (請先閱讀背面之注意事項再填寫本頁)Printed by the Consumer Cooperative of the Central Bureau of Standards of the Ministry of Economic Affairs 521169 6176twf.doc / 006 A7 B7 V. Description of the invention (z) In order to make the laser light emitted from a single-mode fiber collimated and reduce the volume of the component, for example, US patent US4737006 uses pure Pure Silica Rod and single mode fiber are fused first, then the pure sand rod is cut into a small section, and the end face of the pure sand rod is burned into a curved surface by heating. A pure silicon rod is a fiber lens. Fig. 1 shows a fiber collimator according to the above-mentioned conventional technology, in which symbols 1 to single-mode fiber, 2 to fiber lens, length of L to fiber lens 2, length of curvature of r to fiber lens 2, ns to fiber Refractive index of lens 2, 2WQ ~ light spot diameter when laser light is emitted from single-mode fiber 1, 2Wi ~ light spot diameter when laser light is emitted from fiber lens 2, P-light waist position (Beam Waist), 2WZ ~ since The diameter of the light spot at the optical waist position P at a distance Z from the end of the fiber lens, where Z is half the working distance when the two fiber collimators are coupled. The biggest disadvantage of the optical fiber collimator made in this way is that when two optical fiber collimators are coupled, the working distance is short, so it is difficult to insert other optical components to make the above-mentioned optical fiber communication components. Fig. 2 is a diagram showing the relationship between the fiber length L and Z of the conventional fiber collimator of Fig. 1 at r = 62.5pm. It can be seen from FIG. 2 that the maximum 値 of Z is about 293 μm, that is, the maximum working distance 2Z when two fiber lenses are coupled is about 586 μm. Fig. 3 is a graph showing the relationship between the optical fiber collimator of Fig. 1 and the optical fiber collimator at a length of? Fig. 4 is a graph showing the relationship between the spot diameter 2WZ and the fiber lens length L of the conventional fiber collimator of Fig. 1 at Γ = 70µΐΏ. In addition, if the US patent US4304461 uses ball lenses (Ball Lens) 4 This paper size is applicable to China National Standard (CNS) A4 specifications (210X297 mm) " '(Please read the precautions on the back before filling this page) Order 521169 A7 B7 6176twf.doc / 〇〇6 V. Description of the invention (3) To form a fiber collimator 'to be used as a fiber connector. Figure 5 shows the fiber collimator according to the above-mentioned conventional technology, in which symbols 1 ~ single-mode fiber, 3 ~ spherical lens, L ~ single-mode fiber 1 and the distance between the spherical lens 3, R ~ spherical lens 3 Radius of curvature, nB ~ refractive index of ball lens 3, light spot diameter when laser light is emitted from single-mode fiber 1, P-light waist (Beam Waist) position, light spot diameter when 2Wr ball lens 3 receives laser light 2WZ ~ the diameter of the light spot at the light waist position P at a distance Z from the end of the ball lens 3, where Z is also one and a half of the working distance. FIG. 6 is a diagram showing the relationship between the distance between the optical fiber and the ball lens of the conventional optical fiber collimator of FIG. 5 and Z. FIG. When a ball lens is used to make an optical fiber collimator, the larger the diameter of the ball lens, the longer the maximum working distance between the two fiber collimators when mated. Conversely, the smaller the diameter of the ball lens, the shorter the longest working distance when the two fiber collimators are coupled. That is, when the size of the fiber collimator is large, the longest working distance when the two fiber collimators are coupled is longer. On the contrary, the size of the fiber collimator is small, and the longest working distance when the two fiber collimators are coupled is short, so the two cannot be taken into consideration. In view of this, the main object of the present invention is to propose a fiber collimator with a hybrid fiber lens and a ball lens, which can not only reduce the size of the fiber collimator, but also can take into account the two fiber collimators when they are mated. Long working distance, so that additional optical components can be inserted to make a variety of different optical fiber communication components, such as: optical fiber isolators, high-density wavelength multiplexers, optical fiber attenuators, optical fiber circulators, etc., reducing the packaging of optical fiber communication components After the volume. In order to achieve the above and other objectives of the present invention, the mixed light of the present invention, 忏 5 paper size is applicable to the Chinese National Standard (CNS) A4 specification (210X 297 mm) 丨 —— · ---.----- ^^ Clothing-(Please read the precautions on the back before filling out this page) Ordered by the Consumer Standards Cooperative of the Central Standards Bureau of the Ministry of Economic Affairs and printed by the Central Government Bureau of the Ministry of Economic Affairs. Note (4 ») The optical fiber collimator of a lens and a ball lens includes: a single-mode fiber, a fiber lens, and a ball lens. The above-mentioned fiber lens is provided on one side of the single-mode fiber and is connected to one end of the single-mode fiber. The ball lens is disposed on the same side of the fiber lens and is in line with the single-mode fiber and the fiber lens. One of the laser light is emitted from the single-mode fiber toward the fiber lens, passes through the fiber lens and the ball lens, and is focused on the ball. Behind the lens. The fiber collimator of the hybrid fiber lens and ball lens of the present invention has the advantage that a longer working distance can be obtained without increasing the volume. In order to make the above and other objects, features, and advantages of the present invention more comprehensible, a preferred embodiment is given below in conjunction with the accompanying drawings for detailed description as follows: Brief description of the drawings: FIG. 1 Figure 2 shows a schematic diagram of a conventional fiber optic collimator with conventional fiber optic lenses. Figure 2 shows the relationship between the fiber length L and Z of the conventional fiber optic collimator at r2.5 μιη in Figure 1. Figure 3. Figure 3 shows the relationship between the 'light spot diameter 2WZ and the fiber lens length L of the conventional fiber collimator of Figure 1 at r = 62.5 | Llm; Figure 4 shows the first The conventional optical fiber collimator at ρ70μηι is a diagram showing the relationship between the light spot diameter 2WZ and the fiber lens length L; Figure 5 shows another conventional ball lens fiber collimator; Figure 6 shows the first Figure 5 is a graph showing the relationship between the distance L to Z between the fiber and the ball lens of the conventional fiber collimator. Figure 7 shows a hybrid fiber lens and ball 6 11 ·.-(Please read the precautions on the back before filling this page)
、1T 本紙張尺度適用中國囷家標準(CNS ) Α4規格(210Χ297公釐) 521169 6176twf.doc/006 五、發明説明(5 ) 透鏡之光纖準直器;以及 第8圖係顯示出第7圖之光纖準直器之光纖透鏡與球 透鏡間距離Z1+La對Z2之關係圖式。 符號說明: 1-單模光纖; 2 -光纖透鏡; 3-球透鏡; 4 -單模光纖核心(c 〇 r e);、 1T This paper size is in accordance with Chinese Standard (CNS) A4 specification (210 × 297 mm) 521169 6176twf.doc / 006 5. Description of the invention (5) Optical fiber collimator for lens; and Figure 8 shows Figure 7 The relationship between the distance Z1 + La to Z2 between the fiber lens and the ball lens of the fiber collimator. Explanation of symbols: 1-single-mode fiber; 2 -fiber lens; 3-spherical lens; 4 -single-mode fiber core (c 〇 r e);
Pi-第一光腰位置; P2-第二光腰位置; L-光纖透鏡之長度; r-光纖透鏡之曲率半徑; ns-光纖透鏡之折射率; nB -球透鏡之折射率;.. 2W0-雷射光自單模光纖射出時之光斑點直徑; 2W「雷射光自光纖透鏡射出時之光斑點直徑; 2W2-雷射光在第一光腰位置之光斑點直徑; 經濟部中央標準局員工消費合作、杜印製 (請先閲讀背面之注意事項再填寫本頁) 2W3-雷射光入射球透鏡時之光斑點直徑; 2W4-雷射光出射球透鏡時之光斑點直徑; 2WZ-雷射光在第二光腰位置之光斑點直徑; A -光纖透鏡端面與第一光腰位置間之距離;以及 Z2-球透鏡端面與第二光腰位置間之距離。 7 本紙張尺度適用中國國家標準(CNS ) A4規格(210X297公釐) 521169 6 1 7 6 t w f . d 〇 c / 0 0 6 A 7 B7 五、發明説明(办) 實施例 經濟部中央標準局員工消費合作社印製 (請先閱讀背面之注意事項再填寫本頁} 請參考第7圖,其係顯示出依據本發明之一種混合光 纖透鏡與球透鏡之光纖準直器。本發明之混合光纖透鏡與 球透鏡之光纖準直器包括:一單模光纖1、一光纖透鏡 (Fiber lens) 2以及一球透鏡(Ball Lens) 3。光纖透鏡2 可以爲一端爲弧面之純砍棒(Pure Silica Rod),或~端 爲弧面之步階折射率多模光纖(step index multi mode fiber),或一端爲漸變折射率多模光纖(graded index multi mode fiber)。光纖透鏡2之折射率爲ns(例 如:1.468)、曲率半徑爲r(例如:62·5μηι)、長度爲L(例 如:409μπι),其設置於單模光纖1之一側,並且連接至單 模光纖1之一端。球透鏡3之折射率爲ηΒ(例如:1.45)、 半徑爲R(例如200μπι),其設置於光纖透鏡2之同一側, 並且與單模光纖1及光纖透鏡2成一直線。如第7圖所示, 一波長爲λ (例如:1·55μιη)之雷射光自單模光纖1射出, 並且依序穿透光纖透鏡2與球透鏡3後,聚焦於球透鏡3 之後方。雷射光從單模光纖1射出時之光斑點直徑(Beam Spot Diameter )爲2W〇(例如:10.5μηι),而雷射光從光纖透 鏡2射出時之光班點直徑爲2W!。在從光纖透鏡2端點起 距離21(例如:240.53卜1!1)處之一第一光腰位置?1上之光斑 點直徑爲2W2(例如:9·02μπι),而在雷射光從球透鏡3射出 點起距離爲Ζ2(例如:1381.97μπι)處之一第二光腰位置ρ2 上之光斑點直徑爲2WZ。上述Ζ2亦即爲本發明之混合光纖 透鏡與球透鏡之光纖準直器之工作距離(Working 8 本纸張尺度適用中國國家標準(CNS ) A4規格(21〇><297公釐) 521169 6176twf.doc/0〇6 B7 五、發明説明(7) (請先閲讀背面之注意事項再填寫本頁)Pi-first optical waist position; P2-second optical waist position; L-length of fiber lens; r-curvature radius of fiber lens; ns-refractive index of fiber lens; nB-refractive index of ball lens; 2W0 -Light spot diameter when laser light is emitted from single-mode fiber; 2W "diameter of light spot when laser light is emitted from fiber lens; 2W2-light spot diameter of laser light at first optical waist position; consumption by employees of the Central Standards Bureau of the Ministry of Economic Affairs Cooperation, printed by Du (please read the precautions on the back before filling out this page) 2W3- The diameter of the light spot when the laser light enters the ball lens; 2W4- The diameter of the light spot when the laser light exits the ball lens; 2WZ- laser light The diameter of the light spot at the second optical waist position; A-the distance between the end face of the optical fiber lens and the first optical waist position; and Z2- the distance between the end face of the ball lens and the second optical waist position. ) A4 specification (210X297 mm) 521169 6 1 7 6 twf. D oc / 0 0 6 A 7 B7 V. Description of invention (office) Example Printed by the Consumer Cooperatives of the Central Standards Bureau of the Ministry of Economic Affairs (please read the back page first) Note to fill out this page again} Referring to FIG. 7, it shows a fiber collimator of a hybrid fiber lens and a ball lens according to the present invention. The fiber collimator of a hybrid fiber lens and a ball lens according to the present invention includes: a single-mode fiber 1, a fiber Fiber lens 2 and Ball Lens 3. The fiber lens 2 can be a Pure Silica Rod with a curved surface at one end, or a step-index multimode fiber with a curved surface at the ~ end ( step index multi mode fiber), or one end is a graded index multi mode fiber. The refractive index of fiber lens 2 is ns (for example: 1.468), the radius of curvature is r (for example: 62 · 5μηι), The length is L (for example: 409 μm), which is arranged on one side of the single-mode fiber 1 and connected to one end of the single-mode fiber 1. The refractive index of the ball lens 3 is ηB (for example: 1.45) and the radius is R (for example, 200 μm) ), Which is located on the same side of the optical fiber lens 2 and is in line with the single-mode optical fiber 1 and the optical fiber lens 2. As shown in FIG. 7, a laser light having a wavelength of λ (for example, 1.55 μm) is emitted from the single-mode optical fiber. 1 shoots out and penetrates the fiber lens 2 and the ball in order Behind the mirror 3, focus behind the ball lens 3. The beam spot diameter (Beam Spot Diameter) when the laser light is emitted from the single-mode optical fiber 1 is 2W0 (for example, 10.5 μηι), and the laser light when the laser light is emitted from the fiber lens 2. The light shift point diameter is 2W !. One of the first optical waist positions at a distance of 21 (for example: 240.53b1! 1) from the end of the fiber lens 2? The diameter of the light spot on 1 is 2W2 (for example, 9.02 μm), and the diameter of the light spot on the second optical waist position ρ2 at a distance of ZO2 (for example, 1381.97 μm) from the point where the laser light exits from the ball lens 3 For 2WZ. The above-mentioned Z2 is the working distance between the hybrid fiber lens and the ball lens fiber collimator of the present invention (Working 8 This paper size is applicable to the Chinese National Standard (CNS) A4 specification (21〇 > < 297mm) 521169 6176twf.doc / 0〇6 B7 V. Description of the invention (7) (Please read the precautions on the back before filling this page)
Distance)之一半。再者,符號La代表第一'光腰位置P1 與球透鏡3間之距離(例如:163·47μηι),2W3代表球透鏡3 接收到雷射光時之光斑點直徑,2W4代表雷射光出射球透 鏡3時之光斑點直徑。 在本發明之混合光纖透鏡與球透鏡之光纖準直器中, 可經由調整光纖透鏡2之長度L及曲率半徑r,來改變由 光纖透鏡2射出之光斑點直徑2W2。再調整光纖透鏡2與 球透鏡3之相對距離,即可改變光纖準直器射出之光腰位 置P2。亦即,可改變Z2使兩個光纖準直器對耦時之工作距 離2Z2改變。此外,在相同球透鏡半徑R下,當由光纖透 鏡2射出之光斑點直徑2W2愈小,所能達到最遠光腰位置 P2愈遠,即Z2之最大値愈大。換句話說,可使兩個光纖準 直器對耦時之最大工作距離2Z2變長,且並不會改變光纖 準直器之體積。針對不同需求,經由改變2W2大小與球透 鏡3之半徑R,即可設計出不同光腰位置p2與體積之光纖 準直器,以便可縮小光纖準直器之體積,並可兼顧到增加 工作距離之目的。 經濟部中央榡準局員工消費合作衽印製 此外,對於整個本發明之光纖準直器系統之ABCD矩陣 可表示成爲如下之式子: ]B_ C D = _1 Z/ 0 1 "1 0 1-% % ~1 2R-_0 1 _ _1 0 ' 1-心 1 1 k 0 L R 1」 jib—R ηΒ·Distance). In addition, the symbol La represents the distance between the first optical waist position P1 and the ball lens 3 (eg, 163 · 47 μηι), 2W3 represents the diameter of the light spot when the ball lens 3 receives the laser light, and 2W4 represents the laser light exiting the ball lens Light spot diameter at 3 o'clock. In the optical fiber collimator of the hybrid fiber lens and ball lens of the present invention, the light spot diameter 2W2 emitted from the fiber lens 2 can be changed by adjusting the length L and the curvature radius r of the fiber lens 2. By adjusting the relative distance between the fiber lens 2 and the ball lens 3, the waist position P2 of the light emitted by the fiber collimator can be changed. That is, Z2 can be changed to change the working distance 2Z2 when two fiber collimators are coupled. In addition, under the same spherical lens radius R, the smaller the spot diameter 2W2 emitted by the optical fiber lens 2 is, the farther the farthest waist position P2 that can be reached is, that is, the maximum Z2 is larger. In other words, the maximum working distance 2Z2 when two fiber collimators are coupled can be made longer without changing the volume of the fiber collimator. According to different needs, by changing the size 2W2 and the radius R of the ball lens 3, fiber collimators with different optical waist positions p2 and volumes can be designed, so that the volume of the fiber collimator can be reduced, and the working distance can be taken into account. Purpose. Printed by the staff of the Central Bureau of the Ministry of Economic Affairs on consumer cooperation. In addition, the ABCD matrix for the entire optical fiber collimator system of the present invention can be expressed as the following formula:] B_ CD = _1 Z / 0 1 " 1 0 1- %% ~ 1 2R-_0 1 _ _1 0 '1-heart 1 1 k 0 LR 1' 'jib—R ηΒ ·
' 1 L 1 —心 ns 0 1 L r 1 J 其中hZdLa 9 本紙張尺度適用中國國家標準(CNS ) A4規格(210X 297公釐) 521169 ^176twf.doc/006 A7 B7 五'1 L 1 — heart ns 0 1 L r 1 J of which hZdLa 9 This paper size is applicable to China National Standard (CNS) A4 specification (210X 297 mm) 521169 ^ 176twf.doc / 006 A7 B7 Five
'發明説明( A f r, \ 2-心 1 + 〔1 - Ό k (2R(l-ns) t ' { nB J 1 ^ J 2(1 -〜)+ 2(1- ns){\-nB)k^ (1 X2 -」 〇Rr rnr Β + ζ(ι-〜),Μ -(2-nB)k,2R_ + % _ r _ ---1-- _ nB nB _'Explanation of the invention (A fr, \ 2-heart 1 + 〔1-Ό k (2R (l-ns) t' {nB J 1 ^ J 2 (1-~) + 2 (1- ns) {\-nB ) k ^ (1 X2-"〇Rr rnr Β + ζ (ι- ~), M-(2-nB) k, 2R_ +% _ r _ --- 1-- _ nB nB _
2〇-^μ + nBR Ρ(1ι)瑪] 2^-nB)k ι l-nB _ r _ nBR ηΒ ς,_2{\-ηΒ) [ 2{ί-η3^[-η^ ^ {^'~nB)^-ns) naR naRr nnr2〇- ^ μ + nBR Ρ (1ι) 玛] 2 ^ -nB) k ι l-nB _ r _ nBR ηΒ ς, _2 {\-ηΒ) [2 {ί-η3 ^ [-η ^ ^ {^ '~ nB) ^-ns) naR naRr nnr
2{l-nB)L2 (l-nB) L
n0R + L{l-ns) rn0R + L (l-ns) r
2{^-nB)k [ 2-nz nBR nB 爲簡化起見,令A=e+fZ2以及B=g+hZ2,其中 2 — /7 r 1 + k 2R{l-ns) I. _ I m - - 11—· · - - - = - -!__ (請先閱讀背面之注意事項再填寫本育) 2(1-〜)i 2(1-〜)(1| (1-%)(2一%)2 {^-nB) k [2-nz nBR nB For simplicity, let A = e + fZ2 and B = g + hZ2, where 2 — / 7 r 1 + k 2R {l-ns) I. _ I m--11 — · ·---=--! __ (Please read the notes on the back before filling in this education) 2 (1- ~) i 2 (1- ~) (1 | (1-%) ( 2 1%)
nBR nBRr rnB gnBR nBRr rnB g
•nB)L + h.• nB) L + h.
nBR + Z(l-〜) rL{\-ns)nBR + Z (l- ~) rL {\-ns)
{2 - nB、k '2R --1-- 2(l-nB)k i 2-n3 naR nD λ 經濟部中央標準局員工消費合作社印製 經整理之後,整個系統之工作距離Z2.可表示爲:· Z2=-(ae + a Dgl,其中『{2-nB, k '2R --1-- 2 (l-nB) ki 2-n3 naR nD λ After printing and finishing by the staff consumer cooperative of the Central Standards Bureau of the Ministry of Economy, the working distance Z2 of the entire system can be expressed as : · Z2 =-(ae + a Dgl, where "
Cf + a2Dh 7msW: 第8圖係顯示出第7圖之光纖準直器之光纖透鏡與球 透鏡間距離Z1+La對Z2間之關係圖式,其中球透鏡3之半 徑RdOOpm、光纖透鏡2之曲率半徑ι·=62·5μηι、長度 L=:700pm。如第8圖所示,Ζ2最大値爲6525μπι。第5圖之 光纖準直器,在相同的球透鏡半徑Κ=200μηι,其Ζ最大値 爲1052μιη(如第6圖所示),明顯地比本發明在上例中之 6525μηι短許多。 綜合以上所述,本發明之混合光纖透鏡與球透鏡之光 10 本紙張尺度適用中國國家標準(CNS ) Α4規格(210X297公釐) 521169 A7 B7 6176twf.doc/006 五、發明説明(9 ) 纖準直器不但明顯具有比習知光纖準直器較長之工作距 離,而且不會增加光纖準直器之體積。 雖然本發明已以一較佳實施例揭露如上,然其並非用 以限定本發明,任何熟習此技藝者,在不脫離本發明之精 神和範圍內,當可作些許之更動與潤飾,因此本發明之保 護範圍當視後附之申請專利範圍所界定者爲準。 (請先閱讀背面之注意事項再填寫本頁) 經濟部中央榡隼局員工消費合作衽印製 本紙張尺度適用中國國家標準(CNS ) A4規格(210X297公釐)Cf + a2Dh 7msW: Figure 8 is a diagram showing the relationship between the distance Z1 + La to Z2 between the fiber lens and the ball lens of the fiber collimator in Figure 7, where the radius of the ball lens 3 is RdOOpm, Curvature radius ι · = 62 · 5μηι, length L =: 700pm. As shown in FIG. 8, the maximum Z 2 is 6525 μm. The optical fiber collimator in Fig. 5 has a maximum ball lens radius K = 200 µm, and its maximum Z is 1052 µm (as shown in Fig. 6), which is significantly shorter than the 6525 µm in the above example of the present invention. To sum up, the light of the hybrid fiber lens and ball lens of the present invention is 10. The paper size is applicable to the Chinese National Standard (CNS) A4 specification (210X297 mm) 521169 A7 B7 6176twf.doc / 006 V. Description of the invention (9) Fiber The collimator not only has a significantly longer working distance than the conventional fiber collimator, but also does not increase the volume of the fiber collimator. Although the present invention has been disclosed as above with a preferred embodiment, it is not intended to limit the present invention. Any person skilled in the art can make some modifications and retouching without departing from the spirit and scope of the present invention. The scope of protection of the invention shall be determined by the scope of the attached patent application. (Please read the notes on the back before filling out this page) Printed by the Central Government Bureau of the Ministry of Economic Affairs for consumer cooperation Printed on this paper The size of the paper applies to the Chinese National Standard (CNS) A4 (210X297 mm)
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