TWI541866B - Method of processing substrate - Google Patents
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Description
本發明涉及一種使基底對齊及結晶的處理基底的方法,並且更確切地說,涉及一種能夠使雷射光束的結晶圖案得到精確放置的處理基底的方法。 The present invention relates to a method of treating a substrate for aligning and crystallizing a substrate, and more particularly to a method of processing a substrate capable of accurately placing a crystalline pattern of a laser beam.
使基底結晶的方法包含順序橫向固化(sequential lateral solidification,SLS)和準分子雷射退火(eximer laser annealing,ELA)技術。 The method of crystallizing the substrate includes sequential lateral solidification (SLS) and eximer laser annealing (ELA) techniques.
SLS技術誘導橫向生長以獲得類似於單晶的晶體,並且通過使用所述技術獲得的晶體具有巨大的場效應遷移率。然而,由於輻射雷射光束是高能量依賴性的,所以處理裕度(process margin)不好,並且由於放置基底的平臺的精確度對處理有極大的影響,所以存在難以在整個基底上獲得均勻結果的局限性。 The SLS technique induces lateral growth to obtain a crystal similar to a single crystal, and the crystal obtained by using the technique has a large field effect mobility. However, since the radiation laser beam is highly energy-dependent, the process margin is not good, and since the accuracy of the stage on which the substrate is placed has a great influence on the processing, it is difficult to obtain uniformity over the entire substrate. The limitations of the results.
ELA技術誘導垂直生長並且其結晶特徵與SLS技術相比是較差的,但是由於ELA技術具有整個基底上的均勻性極好的優勢,所以該技術已得到廣泛使用。 ELA technology induces vertical growth and its crystallization characteristics are inferior compared to SLS technology, but this technology has been widely used because of its excellent uniformity across the substrate.
常用的ELA裝置包含:處理室;基底傳送單元,其安裝在所述處理室中、固持基底並且按照處理進行的順序水平地移動所述基底;透明窗戶,其安裝在處理室的上部部分上;雷射模組,其佈置在處理室外部並且發射雷射光束;以及反射器,其佈置在處理室外部的透明窗戶上方並且將從雷射模組中朝向透明窗戶發射的雷射光束。 A commonly used ELA device includes: a processing chamber; a substrate transfer unit installed in the processing chamber, holding the substrate and horizontally moving the substrate in a sequence in which processing is performed; a transparent window mounted on an upper portion of the processing chamber; A laser module disposed outside the processing chamber and emitting a laser beam; and a reflector disposed above the transparent window outside the processing chamber and emitting a laser beam from the laser module toward the transparent window.
下文中簡單地描述了使用ELA裝置的結晶方法。首先,當雷射光束從雷射產生器中發射時,雷射光束由反射器反射、穿過透明窗戶、隨後進入基底的表面。舉例來說,可以使用在其上表面具有非晶矽層的基底並且當雷射光束輻射到所述非晶矽層時,所述非晶矽層變為液態,發生固化且結晶,因此形成多晶矽層。在這種情況下,為了使多個基底能夠連續地結晶,輻射雷射光束時同時水平地移動基底。 The crystallization method using an ELA device is briefly described below. First, when a laser beam is emitted from a laser generator, the laser beam is reflected by the reflector, passes through the transparent window, and then enters the surface of the substrate. For example, a substrate having an amorphous germanium layer on its upper surface can be used and when a laser beam is radiated to the amorphous germanium layer, the amorphous germanium layer becomes liquid, solidifies and crystallizes, thus forming polycrystalline germanium Floor. In this case, in order to enable a plurality of substrates to be continuously crystallized, the laser beam is irradiated while horizontally moving the substrate.
如圖1中所示,其示出了將雷射光束輻射到基底的表面並且進行結晶化、固定雷射光束模組並且隨後輻射雷射光束同時基底Sub向前且向後往返運動若干次,因此在基底上形成結晶圖案的方法。由於基底的往返運動,多個雷射光束可以重複地輻射到結晶圖案。 As shown in FIG. 1, it shows that the laser beam is radiated to the surface of the substrate and crystallized, the laser beam module is fixed, and then the laser beam is irradiated while the substrate Sub moves back and forth several times forward and backward, thus A method of forming a crystalline pattern on a substrate. Due to the reciprocating motion of the substrate, a plurality of laser beams can be repeatedly radiated to the crystal pattern.
當雷射光束首先輻射到第一區段時,基底經放置使得基底的對齊標記放置在雷射光束的寬度的中心線上,並且隨後雷射光束依次輻射到結晶目標區域。也就是說,通過對齊基底使得對齊標記的中心點與預設參考點匹配,可以將基底的對齊標記放置 在雷射光束的寬度的中心線上。然而,由於雷射模組的光學特徵變化,存在以下局限性:隨著時間的流逝,對齊標記離開結晶目標區域並且經歷移位和旋轉等變動,在這種狀態下形成結晶圖案。 When the laser beam is first radiated to the first section, the substrate is placed such that the alignment marks of the substrate are placed on the centerline of the width of the laser beam, and then the laser beam is sequentially radiated to the crystallization target area. That is, by aligning the substrate so that the center point of the alignment mark matches the preset reference point, the alignment mark of the substrate can be placed On the centerline of the width of the laser beam. However, due to variations in the optical characteristics of the laser module, there is a limitation in that, as time passes, the alignment mark leaves the crystal target region and undergoes variations such as displacement and rotation, and a crystal pattern is formed in this state.
舉例來說,當假定由虛線形成的部分是在其中進行選擇性結晶的結晶目標區域時,可以看到,進行雷射光束處理、隨著時間的流逝雷射光束輻射到結晶目標區域1之外,且因此發生結晶圖案2a的移位,如圖2(a)中所示。並且,如圖2(b)中所示,可以看到,進行雷射光束處理、隨著時間的流逝雷射光束以某一角度輻射到結晶目標區域1之外,並且因此發生結晶圖案2b的旋轉。 For example, when it is assumed that the portion formed by the broken line is a crystallization target region in which selective crystallization is performed, it can be seen that laser beam processing is performed, and the laser beam is radiated to the crystallization target region 1 as time passes. And thus the displacement of the crystal pattern 2a occurs as shown in Fig. 2(a). And, as shown in FIG. 2(b), it can be seen that laser beam processing is performed, and the laser beam is radiated to the outside of the crystal target region 1 at an angle with the passage of time, and thus the crystal pattern 2b is generated. Rotate.
由於雷射光束的連續振盪引起的雷射光束模組的特徵變化,因此隨著時間的流逝發生移位和旋轉等雷射光束的變動。也就是說,由於連續振盪引起的雷射路徑上的振盪器或反射器的熱變形,因此發生雷射光束的變動。 Due to the characteristic changes of the laser beam module caused by the continuous oscillation of the laser beam, the fluctuation of the laser beam such as displacement and rotation occurs over time. That is, the variation of the laser beam occurs due to thermal deformation of the oscillator or reflector on the laser path caused by continuous oscillation.
然而,雖然進行了雷射光束處理,但是通常變動尚未得到改進。已經進行了被動測量,其是在雷射光束輻射到多個襯底之後,對雷射光束的變動程度進行測量並且對原因進行分析。也就是說,在雷射光束依次輻射到多個基底的同時,忽略雷射光束的變動位移程度並且輻射雷射光束以進行結晶化。因此,在完成雷射光束處理之後,由於雷射光束的變動,基底上的非結晶目標區域的部分發生結晶化,並且因此存在產品品質降低的局限性。 However, although laser beam processing has been performed, the usual variations have not been improved. Passive measurements have been made which measure the degree of variation of the laser beam and analyze the cause after the laser beam is radiated to a plurality of substrates. That is, while the laser beam is sequentially radiated to the plurality of substrates, the degree of variation of the displacement of the laser beam is ignored and the laser beam is irradiated for crystallization. Therefore, after the completion of the laser beam processing, a portion of the amorphous target region on the substrate is crystallized due to the fluctuation of the laser beam, and thus there is a limitation in that the quality of the product is lowered.
專利文獻1:第2012-0111759號韓國專利公開案。 Patent Document 1: Korean Patent Publication No. 2012-0111759.
本發明提供了使基底結晶的對齊基底用於的方法。本發明更提高了在進行基底的選擇性結晶時位置精確度。本發明更改進了由雷射光束的特徵變化引起的雷射光束的旋轉或移位。 The present invention provides a method for aligning substrates in which the substrate is crystallized. The present invention further improves the positional accuracy in performing selective crystallization of the substrate. The present invention further improves the rotation or displacement of the laser beam caused by variations in the characteristics of the laser beam.
根據一個示例性實施例,一種處理基底的方法包含:將第一基底對齊以具有第一基底起始位置,從而允許在第一基底上形成的對齊標記與預設參考點匹配;將雷射光束輻射到第一基底的結晶目標區域並且在第一基底往返運動的同時形成結晶圖案;取決於第一基底的結晶圖案的邊緣與對齊標記的中心點之間的距離計算校正偏差並且計算通過反映校正偏差獲得的校正參考點;以及在將第一基底放置到外部後,對齊第二基底以允許將第二基底的對齊標記放置到腔室中以與校正參考點匹配。 According to an exemplary embodiment, a method of processing a substrate includes: aligning a first substrate to have a first substrate starting position, thereby allowing an alignment mark formed on the first substrate to match a preset reference point; Radiating to the crystal target region of the first substrate and forming a crystal pattern while reciprocating the first substrate; calculating a correction deviation depending on the distance between the edge of the crystal pattern of the first substrate and the center point of the alignment mark and calculating the correction by reflection A correction reference point obtained by the deviation; and after placing the first substrate to the outside, aligning the second substrate to allow the alignment mark of the second substrate to be placed into the chamber to match the corrected reference point.
校正參考點的計算可以包含:在第一基底的結晶目標區域上的結晶圖案化完成後,使第一基底返回到第一基底起始位置;識別返回到第一基底起始位置的第一基底的結晶圖案和對齊標記的位置;測量結晶圖案的邊緣與對齊標記的中心點之間的距離;取決於所述距離計算校正偏差;並且將校正偏差添加到參考點以計算校正參考點。 The calculation of the correction reference point may include: returning the first substrate to the first substrate starting position after completion of the crystallization patterning on the crystallization target region of the first substrate; identifying the first substrate returning to the starting position of the first substrate a position of the crystal pattern and the alignment mark; measuring a distance between an edge of the crystal pattern and a center point of the alignment mark; calculating a correction deviation depending on the distance; and adding a correction deviation to the reference point to calculate a correction reference point.
所述距離的測量可以包含:測量結晶圖案的一個邊緣與對齊標記的中心點之間的距離以及結晶圖案的另一邊緣與對齊標 記的中心點之間的另一距離。 The measuring of the distance may include measuring a distance between one edge of the crystal pattern and a center point of the alignment mark, and another edge of the crystal pattern and the alignment mark Remember another distance between the center points.
校正偏差的計算可以包含將所述距離與所述另一距離之間的差值除以2。 The calculation of the correction bias may include dividing the difference between the distance and the other distance by two.
參考點的校正可以包含:將校正偏差添加到參考點或者從參考點中減去校正偏差,以允許校正參考點的位置移動到具有所述距離和所述另一距離當中的較大值的邊緣。 The correction of the reference point may include adding a correction deviation to the reference point or subtracting the correction deviation from the reference point to allow the position of the correction reference point to move to an edge having the larger of the distance and the other distance .
所述方法可以進一步包含在對齊第一基底前將第一基底放置到腔室中;並且在第一基底上標示(indexing)所述對齊標記。 The method can further include placing the first substrate into the chamber prior to aligning the first substrate; and indexing the alignment mark on the first substrate.
返回到基底起始位置的第一基底的結晶圖案和對齊標記的位置的識別可以包含:通過CCD感測器捕獲返回到第一基底起始位置的第一基底並且通過使用第一基底的所捕獲圖像識別所述位置。 The identification of the crystalline pattern of the first substrate and the position of the alignment mark returned to the starting position of the substrate may include: capturing the first substrate returned to the starting position of the first substrate by the CCD sensor and capturing by using the first substrate The image identifies the location.
所述第一基底可以包含多個區段並且對齊標記針對每個區段形成。 The first substrate may comprise a plurality of segments and alignment marks are formed for each segment.
可以在每個區段上進行第一基底的對齊、結晶圖案的形成、校正參考點的計算以及第二基底的對齊。 The alignment of the first substrate, the formation of the crystalline pattern, the calculation of the corrected reference point, and the alignment of the second substrate can be performed on each of the segments.
1‧‧‧結晶目標區域 1‧‧‧ Crystallized target area
100‧‧‧處理室 100‧‧‧Processing room
110‧‧‧透明窗戶 110‧‧‧transparent windows
120‧‧‧基底傳送單元 120‧‧‧Base transfer unit
200‧‧‧雷射 200‧‧ ‧ laser
210‧‧‧雷射振盪器 210‧‧‧Laser oscillator
220‧‧‧反射器 220‧‧‧ reflector
2a、2b‧‧‧結晶圖案 2a, 2b‧‧‧ crystal pattern
C‧‧‧中心軸 C‧‧‧ center axis
d1、d2‧‧‧距離 D1, d2‧‧‧ distance
E1、E2‧‧‧邊緣 Edge of E1, E2‧‧
M1、M2、M3‧‧‧對齊標記 M1, M2, M3‧‧‧ alignment marks
S‧‧‧基底 S‧‧‧ base
S1~Sn‧‧‧結晶目標區域 S1~Sn‧‧‧ crystal target area
S410、S420、S430、S440‧‧‧過程 S410, S420, S430, S440‧‧‧ Process
P‧‧‧結晶圖案 P‧‧‧ crystal pattern
P1~Pn‧‧‧結晶目標區域/結晶圖案 P1~Pn‧‧‧ crystal target area/crystal pattern
+x、-x‧‧‧方向 +x, -x‧‧ direction
x、y‧‧‧軸 x, y‧‧‧ axis
通過結合附圖進行的以下描述可以更詳細地理解示例性實施例,其中:圖1示出了將雷射光束輻射到基底的表面並且進行結晶的方 法。 The exemplary embodiments can be understood in more detail by the following description in conjunction with the accompanying drawings in which: FIG. 1 shows a method of radiating a laser beam to the surface of a substrate and performing crystallization. law.
圖2(a)和圖2(b)示出了如何在基底的結晶圖案上發生變動。 Figures 2(a) and 2(b) show how variations occur in the crystalline pattern of the substrate.
圖3示出了根據本發明的一個實施例的用於雷射光束結晶的基底處理裝置。 Figure 3 illustrates a substrate processing apparatus for laser beam crystallization in accordance with one embodiment of the present invention.
圖4是根據本發明的一個實施例的校正變動的過程的流程圖。 4 is a flow chart of a process of correcting a change in accordance with one embodiment of the present invention.
圖5(a)到圖5(g)是根據本發明的一個實施例的校正變動和輻射雷射光束的基底處理過程的流程圖。 5(a) through 5(g) are flow diagrams of a substrate processing process for correcting varying and radiating a laser beam in accordance with one embodiment of the present invention.
圖6示出了根據本發明的一個實施例進行選擇性結晶的方法。 Figure 6 illustrates a method of performing selective crystallization in accordance with one embodiment of the present invention.
圖7(a)和圖7(b)表示根據本發明的一個實施例的結晶圖案的邊緣與對齊標記的中心點之間的距離。 7(a) and 7(b) show the distance between the edge of the crystal pattern and the center point of the alignment mark according to an embodiment of the present invention.
圖8(a)和圖8(b)示出了根據本發明的一個實施例當在結晶圖案的中心軸的左側存在對齊標記時找到校正參考點並且移動基底的方法。 8(a) and 8(b) illustrate a method of finding a correction reference point and moving a substrate when an alignment mark is present on the left side of the central axis of the crystal pattern, according to an embodiment of the present invention.
圖9(a)和圖9(b)示出了根據本發明的一個實施例當在結晶圖案的中心軸的右側存在對齊標記時找到校正參考點並且移動基底的方法。 9(a) and 9(b) illustrate a method of finding a correction reference point and moving the substrate when an alignment mark is present on the right side of the central axis of the crystal pattern, according to an embodiment of the present invention.
圖10(a)到圖10(c)示出了根據本發明的一個實施例在包含三個區段的基底的每個區段上進行選擇性結晶的方法。 Figures 10(a) through 10(c) illustrate a method of performing selective crystallization on each segment of a substrate comprising three segments in accordance with one embodiment of the present invention.
雖然本發明已以實施例揭露如上,然其並非用以限定本發明,任何所屬技術領域中具有通常知識者,在不脫離本發明的精神和範圍內,當可作些許的更動與潤飾,故本發明的保護範圍當視後附的申請專利範圍所界定者為準。 Although the present invention has been disclosed in the above embodiments, it is not intended to limit the present invention, and any one of ordinary skill in the art can make some changes and refinements without departing from the spirit and scope of the present invention. The scope of the invention is defined by the scope of the appended claims.
下文中參考附圖更詳細地描述了本發明的示例性實施例。然而,本發明可以用不同形式實施,並且不應被解釋為限於本文所闡述的實施例。實際上,提供這些實施例是為了使得本發明透徹並且完整,並且這些實施例將把本發明的範圍完整地傳達給所屬領域的技術人員。附圖中的相同元件符號指代相同元件。 Exemplary embodiments of the present invention are described in more detail below with reference to the accompanying drawings. However, the invention may be embodied in different forms and should not be construed as being limited to the embodiments set forth herein. Rather, these embodiments are provided so that this disclosure will be thorough and complete, and the scope of the invention will be fully conveyed by those skilled in the art. The same element symbols in the drawings denote the same elements.
圖3示出了根據本發明的一個實施例的用於雷射光束結晶的基底處理裝置。 Figure 3 illustrates a substrate processing apparatus for laser beam crystallization in accordance with one embodiment of the present invention.
用於雷射光束結晶的基底處理裝置將雷射光束輻射到基底以進行雷射結晶,用於在基底Sub上形成的薄膜的結晶。基底處理裝置包含:處理室100;基底傳送單元120,其安裝在所述處理室100中、固持基底Sub並且水平地向前和向後移動所述基底;透明窗戶110,其安裝在處理室100的一側上,面向基底傳送單元120;以及雷射模組200,其包含佈置在處理室100外部並且發射雷射光束的雷射振盪器210;以及反射器220,其佈置在處理室100外部的透明窗戶110上方。並且,對齊標記圖形產生器(未圖示)佈置在處理室100中。所述對齊標記圖形產生器(未圖示)用於在基底上形成對齊標記並且可以作為多種單元實施,例如,蝕刻單元和雷射圖案化單元。並且,具有電荷耦合裝置(CCD)感測 器的影像攝像頭(未圖示)佈置在所述處理室中。影像攝像頭(未圖示)可以捕獲基底並且識別在基底上形成的對齊標記以及基底的結晶區域的位置。 A substrate processing apparatus for crystallization of a laser beam radiates a laser beam to a substrate for laser crystallization for crystallization of a film formed on the substrate Sub. The substrate processing apparatus includes: a processing chamber 100; a substrate transfer unit 120 installed in the processing chamber 100, holding the substrate Sub and moving the substrate horizontally forward and backward; a transparent window 110 installed in the processing chamber 100 On one side, facing the substrate transfer unit 120; and a laser module 200 including a laser oscillator 210 disposed outside the process chamber 100 and emitting a laser beam; and a reflector 220 disposed outside the process chamber 100 Above the transparent window 110. And, an alignment mark pattern generator (not shown) is disposed in the process chamber 100. The alignment mark pattern generator (not shown) is used to form alignment marks on the substrate and can be implemented as a plurality of units, for example, an etching unit and a laser patterning unit. And with charge coupled device (CCD) sensing An image camera (not shown) of the device is disposed in the processing chamber. An image camera (not shown) can capture the substrate and identify the alignment marks formed on the substrate and the location of the crystalline regions of the substrate.
下文簡單地描述了使用具有這種配置的基底處理裝置的基底Sub結晶處理。首先,當基底Sub被放置到處理室100中並且放置在基底傳送單元120上時,標記圖形產生器(未圖示)在所述基底上形成多個對齊標記。隨後,通過使用影像攝像頭(未圖示),基底傳送單元120經傳送以對齊基底Sub從而匹配對齊標記。當完成基底對齊時,雷射光束輻射到基底Sub上。在基底由基底傳送單元120水平地移動的同時,雷射光束輻射到所述基底上。在這種情況下,基底Sub可以是(例如)在其上具有非晶矽層的基底,並且當非晶矽層通過使用雷射光束結晶裝置結晶時,使矽層結晶。 The substrate Sub crystallization treatment using the substrate processing apparatus having such a configuration is briefly described below. First, when the substrate Sub is placed into the process chamber 100 and placed on the substrate transfer unit 120, a mark pattern generator (not shown) forms a plurality of alignment marks on the substrate. Subsequently, by using an image camera (not shown), the substrate transfer unit 120 is transferred to align the substrate Sub to match the alignment marks. When the substrate alignment is completed, the laser beam is radiated onto the substrate Sub. The laser beam is radiated onto the substrate while the substrate is horizontally moved by the substrate transfer unit 120. In this case, the substrate Sub may be, for example, a substrate having an amorphous germanium layer thereon, and the germanium layer is crystallized when the amorphous germanium layer is crystallized by using a laser beam crystallization device.
當雷射光束輻射時,雷射光束僅輻射到結晶目標區域以進行選擇性結晶。舉例來說,通過進行雷射光束上的遮光片的開啟和閉合,可以將雷射光束僅輻射到在光束模組下方移動的基底的結晶目標區域。也就是說,因為遮光片是佈置在雷射模組的雷射光束路徑上的,因此雖然雷射模組繼續進行雷射振盪,但是可以開啟遮光片並且僅在基底的結晶目標區域放置在雷射模組的光束輻射路徑上時輻射雷射光束。可以通過其他技術進行選擇性結晶。 When the laser beam is radiated, the laser beam is only radiated to the crystal target region for selective crystallization. For example, by performing the opening and closing of the visor on the laser beam, the laser beam can be radiated only to the crystallization target area of the substrate moving below the beam module. That is, since the light shielding film is disposed on the laser beam path of the laser module, although the laser module continues the laser oscillation, the light shielding film can be opened and placed only in the crystallization target area of the substrate. The laser beam is radiated when the beam of the module is radiated on the path. Selective crystallization can be carried out by other techniques.
舉例來說,由於光束的連續振盪,可能存在無法精確進 行雷射光束輻射的局限性,因為隨著時間的流逝,雷射光束的輻射區域離開所述區域進行結晶並且經歷移位和旋轉等變動。因此,本發明的實施例包含即使在雷射光束處理期間也能夠校正雷射光束的移位的控制器(未圖示)。取決於基底的結晶圖案與對齊標記的中心點之間的距離,控制器(未圖示)校正下一基底的基底起始位置,從而改進變動。下文參考圖4進行描述。 For example, due to the continuous oscillation of the beam, there may be inaccuracies The limitation of laser beam radiation is that, as time passes, the radiation region of the laser beam exits the region for crystallization and undergoes variations such as displacement and rotation. Accordingly, embodiments of the present invention include a controller (not shown) that is capable of correcting the displacement of a laser beam even during laser beam processing. Depending on the distance between the crystalline pattern of the substrate and the center point of the alignment mark, the controller (not shown) corrects the substrate starting position of the next substrate to improve the variation. Description will be made below with reference to FIG. 4.
圖4是根據本發明的一個實施例的校正變動的過程的流程圖;並且圖5(a)到圖5(g)是根據本發明的一個實施例的輻射雷射光束的基底處理過程的流程圖。 4 is a flow chart of a process of correcting variations according to an embodiment of the present invention; and FIGS. 5(a) to 5(g) are flowcharts of a substrate processing process of a radiation laser beam according to an embodiment of the present invention. Figure.
在下文中,描述了多個基底被依次放置到處理室中並且通過雷射光束輻射進行結晶的方法的實例。在下文中,首先被放置到處理室中的基底被稱作第一基底,並且在進行第一基底的結晶處理後,第一基底被放置到處理室外並且通過基底傳送設備移動到基底裝載箱。在下文中,在將第一基底放置到外部後放置到處理室中用於結晶的下一基底被稱作第二基底。 In the following, an example of a method in which a plurality of substrates are sequentially placed into a processing chamber and crystallized by laser beam irradiation is described. Hereinafter, the substrate first placed into the processing chamber is referred to as a first substrate, and after performing the crystallization treatment of the first substrate, the first substrate is placed outside the processing chamber and moved to the substrate loading box by the substrate transfer device. Hereinafter, the next substrate placed in the processing chamber for crystallization after the first substrate is placed outside is referred to as a second substrate.
具體而言,如圖5(a)中所示,第一基底首先被放置到處理室中以提供第一基底。所述基底通過基底傳送設備從基底裝載箱傳送到處理室中。放置在處理室中的基底支撐件上的第一基底通過機械單元大致地對齊。 Specifically, as shown in FIG. 5(a), the first substrate is first placed into the processing chamber to provide a first substrate. The substrate is transferred from the substrate loading bin to the processing chamber by a substrate transfer device. The first substrate placed on the substrate support in the processing chamber is substantially aligned by the mechanical unit.
隨後,如圖5(b)中所示,對齊標記M形成於放置在基底支撐件上的第一基底Sub1上。通過使用多種對齊標記圖案產生器(例如蝕刻單元和雷射圖案化單元),通過雕刻或標示在第一基底上 形成對齊標記M。對齊標記是在基底上形成的識別標記,並且可以用作當根據本發明對齊基底或校正基底的位置時使用的識別字。對齊標記M可以形成為‘+’並且其中‘+’交叉的垂直線和水平線的交叉點被稱作對齊標記的中心點。並且,對齊標記可以是單個的或多個的。 Subsequently, as shown in FIG. 5(b), the alignment mark M is formed on the first substrate Sub1 placed on the substrate support. By engraving or marking on the first substrate by using a plurality of alignment mark pattern generators (such as an etch unit and a laser patterning unit) An alignment mark M is formed. The alignment mark is an identification mark formed on the substrate, and can be used as an identification word used when aligning the substrate or correcting the position of the substrate according to the present invention. The alignment mark M may be formed as '+' and the intersection of the vertical line and the horizontal line where the '+' intersects is referred to as the center point of the alignment mark. Also, the alignment marks can be single or multiple.
在圖4的過程S410中,在第一基底Sub1上形成對齊標記M之後,進行第一基底對齊處理,其中第一基底經對齊以具有第一基底起始位置,使得在第一基底上形成的對齊標記與預設參考點匹配。在此實例中,參考點是控制器先前具有的參考位置資訊,並且經預設以便在預設位置上佈置基底。因此,當對齊基底以便輻射雷射光束時,通過使在基底上形成的對齊標記M與參考點匹配將基底佈置在希望的位置上。並且,第一基底起始位置可以意味著雷射光束首先輻射到的基底的第一結晶目標區域被放置在雷射模組下方。也就是說,當基底經傳送和對齊使得在基底上形成的對齊標記的中心點與預設參考點匹配時,雷射光束輻射到的第一結晶目標區域被放置在雷射模組下方。因此,當不發生變動並且雷射光束正常輻射時,對齊標記的中心點將位於雷射光束輻射到的結晶圖案區域的中心軸上。 In the process S410 of FIG. 4, after the alignment mark M is formed on the first substrate Sub1, a first substrate alignment process is performed in which the first substrate is aligned to have a first substrate start position such that it is formed on the first substrate The alignment mark matches the preset reference point. In this example, the reference point is the reference position information previously possessed by the controller and is preset to arrange the substrate at the preset position. Therefore, when the substrate is aligned to radiate the laser beam, the substrate is placed at a desired position by matching the alignment mark M formed on the substrate with the reference point. Also, the first substrate starting position may mean that the first crystalline target area of the substrate to which the laser beam is first radiated is placed below the laser module. That is, when the substrate is transported and aligned such that the center point of the alignment mark formed on the substrate matches the preset reference point, the first crystalline target area to which the laser beam is radiated is placed below the laser module. Therefore, when no change occurs and the laser beam is normally radiated, the center point of the alignment mark will be on the central axis of the crystal pattern region to which the laser beam is radiated.
基底的對齊可以通過使用影像攝像頭進行。通過包含電荷耦合裝置(CCD)感測器的影像攝像頭,識別基底的對齊標記並且隨後對基底進行傳送以匹配預設參考點。也就是說,處理室的影像攝像頭讀取對齊標記、對齊和傳送基底使得在基底上形成 的對齊標記的中心點與參考點匹配,並且因此可以對齊基底以具有第一基底起始位置。 The alignment of the substrate can be performed by using an image camera. The alignment marks of the substrate are identified by an image camera containing a charge coupled device (CCD) sensor and the substrate is then transmitted to match the preset reference point. That is, the image camera of the processing chamber reads the alignment marks, aligns, and transports the substrate to form on the substrate. The center point of the alignment mark matches the reference point, and thus the substrate can be aligned to have a first substrate starting position.
在過程S420中,當完成第一基底對齊時,進行結晶圖案化處理,其中結晶圖案通過將雷射光束輻射到第一基底的結晶目標區域形成,同時第一基底進行往返運動。通常,當基底結晶通過雷射光束輻射進行時,僅在需要結晶的一些區域上進行選擇性結晶而不是在基底的所有區域發生結晶。也就是說,如圖6中所示,在基底上以規則間隔存在多個結晶目標區域S,並且雷射光束輻射是在結晶目標區域S上進行以進行選擇性結晶,從而形成多個結晶圖案P。為了形成這種選擇性結晶化的結晶圖案,可以當在移動基底上進行雷射光束輻射時通過發射或阻斷雷射光束將雷射光束僅輻射到結晶目標區域S。 In the process S420, when the first substrate alignment is completed, a crystal patterning process is performed in which the crystal pattern is formed by radiating the laser beam to the crystal target region of the first substrate while the first substrate is reciprocating. Generally, when the crystallization of the substrate is carried out by laser beam irradiation, selective crystallization is performed only on some regions where crystallization is required instead of crystallization in all regions of the substrate. That is, as shown in FIG. 6, a plurality of crystal target regions S exist at regular intervals on the substrate, and laser beam radiation is performed on the crystal target region S for selective crystallization, thereby forming a plurality of crystal patterns P. In order to form such a selectively crystallized crystal pattern, the laser beam can be radiated only to the crystal target region S by emitting or blocking the laser beam when the laser beam is irradiated on the moving substrate.
並且,可以通過重複地將雷射光束輻射到相同結晶目標區域若干次來實現結晶,同時基底往返運動。舉例來說,當需要將雷射光束輻射到相同結晶目標區域六次時,通過雷射光束輻射的結晶通過分別將基底移動到左側和右側三次進行。在下文中,其中雷射光束輻射完全完成並且因此實現結晶的區域被稱作結晶圖案。 Also, crystallization can be achieved by repeatedly radiating the laser beam to the same crystalline target region several times while the substrate is moving back and forth. For example, when it is desired to radiate a laser beam to the same crystalline target area six times, crystallization by the laser beam is performed by moving the substrate to the left and right sides three times, respectively. In the following, a region in which the laser beam radiation is completely completed and thus crystallizes is referred to as a crystal pattern.
在結晶圖案化處理S420中,隨著基底的傳送,雷射光束輻射首先在如圖5(c)中所示的第一結晶目標區域上進行以形成結晶圖案P1,並且雷射光束輻射可以按照第二結晶目標區域P2和第三結晶目標區域P3的順序進行。為了進行參考,如圖5(c)中所 示,當雷射光束的特徵並未發生改變並且因此雷射光束正常輻射而沒有變動時,對齊標記的中心點將被放置在通過雷射光束輻射結晶的區域的中心軸上。 In the crystal patterning process S420, as the substrate is transferred, the laser beam radiation is first performed on the first crystal target region as shown in FIG. 5(c) to form the crystal pattern P1, and the laser beam radiation can be followed. The order of the second crystallization target region P2 and the third crystallization target region P3 is performed. For reference, as shown in Figure 5(c) It is shown that when the characteristics of the laser beam have not changed and thus the laser beam is normally radiated without fluctuation, the center point of the alignment mark will be placed on the central axis of the region crystallized by the laser beam radiation.
為了進行參考,圖5(d)示出了向前(即,在+x方向上)傳送基底以及雷射光束輻射到第三結晶目標區域以形成第三結晶圖案P3的方法,並且圖5(e)示出了將基底向前傳送到端部以及雷射光束輻射到最後一個結晶目標區域以形成結晶圖案Pn的方法。圖5(f)和圖5(g)示出了向後(即,在-x方向上)傳送基底以及雷射光束再次輻射到先前輻射的結晶目標區域的方法。 For reference, FIG. 5(d) shows a method of transporting the substrate forward (ie, in the +x direction) and irradiating the laser beam to the third crystal target region to form the third crystal pattern P3, and FIG. 5 ( e) shows a method of transporting the substrate forward to the end and radiation of the laser beam to the last crystalline target region to form a crystalline pattern Pn. Figures 5(f) and 5(g) illustrate a method of transporting the substrate backwards (i.e., in the -x direction) and the laser beam again radiating to the previously irradiated crystalline target region.
這種結晶處理可以在相同的結晶目標區域上重複地進行結晶若干次,其方式為使得基底在x方向上重複向前和向後移動。 This crystallization treatment can be repeatedly performed several times on the same crystal target region in such a manner that the substrate is repeatedly moved forward and backward in the x direction.
當完成(圖4的)結晶圖案化處理S420時,進行(圖4的)校正參考點計算處理S430,其中校正偏差根據第一基底的結晶圖案的邊緣與對齊標記的中心點之間的距離進行計算,並且反映出校正偏差以計算通過校正參考點獲得的校正參考點。當連續地進行雷射振盪時,由於雷射模組的特徵變化,雷射光束的線可以旋轉或移位。因此,當第一基底放置在腔室外部並且隨後將第二基底放置到腔室中並且進行雷射輻射時,對參考用於最初放置第二基底的參考點進行校正,使得雷射光束的旋轉或移位可以得到校正。由於雷射模組是機械固定的,因此難以校正位置並且可以通過校正由基底支撐物形成相對自由移動的基底的位置來改進雷射光束變動,例如,雷射光束的旋轉或移位。 When the crystal patterning process S420 (of FIG. 4) is completed, the corrected reference point calculation process S430 (of FIG. 4) is performed, wherein the correction deviation is performed according to the distance between the edge of the crystal pattern of the first substrate and the center point of the alignment mark The correction deviation is calculated and reflected to calculate a corrected reference point obtained by correcting the reference point. When the laser oscillation is continuously performed, the line of the laser beam can be rotated or displaced due to changes in the characteristics of the laser module. Therefore, when the first substrate is placed outside the chamber and then the second substrate is placed into the chamber and laser radiation is performed, the reference point for referring to the initial placement of the second substrate is corrected such that the rotation of the laser beam Or shift can be corrected. Since the laser module is mechanically fixed, it is difficult to correct the position and the laser beam variation, for example, the rotation or displacement of the laser beam, can be improved by correcting the position of the substrate that is relatively free to move from the substrate support.
詳細描述了校正參考點計算處理S430。當完成第一基底的結晶目標區域上的結晶圖案化時,進行第一基底返回到第一基底起始位置的基底返回處理。也就是說,第一基底返回到對齊標記與參考點匹配的位置。隨後,識別出已經返回到第一基底起始位置的第一基底的結晶圖案和對齊標記的位置。為此,已經返回到第一基底起始位置的第一基底通過使用包含CCD感測器的影像攝像頭捕獲。關於結晶圖案和對齊標記的每個形狀的位置資訊是從第一基底的所捕獲圖像中提取的。在此實例中,結晶圖案是雷射光束輻射的第一基底的區域,並且由於通過雷射光束輻射而結晶的區域具有不同於附近非結晶區域的材料,因此可以通過影像攝像頭識別位置資訊。因此,可以通過使用影像攝像頭識別結晶圖案的兩個邊緣的位置並且可以識別對齊標記的中心點的位置。 The corrected reference point calculation processing S430 is described in detail. When the crystal patterning on the crystal target region of the first substrate is completed, the substrate return processing in which the first substrate is returned to the initial position of the first substrate is performed. That is, the first substrate returns to the position where the alignment mark matches the reference point. Subsequently, the crystal pattern of the first substrate and the position of the alignment mark that have returned to the starting position of the first substrate are identified. To this end, the first substrate that has returned to the starting position of the first substrate is captured by using an image camera including a CCD sensor. The position information about each shape of the crystal pattern and the alignment mark is extracted from the captured image of the first substrate. In this example, the crystal pattern is the area of the first substrate irradiated by the laser beam, and since the area crystallized by the laser beam irradiation has a material different from the nearby amorphous area, the position information can be recognized by the image camera. Therefore, the position of the two edges of the crystal pattern can be recognized by using the image camera and the position of the center point of the alignment mark can be recognized.
隨後,測量結晶圖案的邊緣與對齊標記的中心點之間的距離的過程。參看詳細示出了基底的一部分的圖7,結晶圖案通過雷射光束輻射形成於所述基底的一部分上,可以測量第一對齊標記M1的中心點與結晶圖案的兩個邊緣之間的距離。也就是說,測量結晶圖案P的一個邊緣與第一對齊標記M1的中心點之間的距離d1以及結晶圖案P的另一邊緣與第一對齊標記M1的中心點之間的另一距離d2。類似地,可以測量第二對齊標記M2與結晶圖案之間的距離。 Subsequently, the process of measuring the distance between the edge of the crystal pattern and the center point of the alignment mark is measured. Referring to Figure 7, which shows a portion of the substrate in detail, a crystalline pattern is formed on a portion of the substrate by laser beam radiation, and the distance between the center point of the first alignment mark M1 and the two edges of the crystal pattern can be measured. That is, the distance d1 between one edge of the crystal pattern P and the center point of the first alignment mark M1 and another distance d2 between the other edge of the crystal pattern P and the center point of the first alignment mark M1 are measured. Similarly, the distance between the second alignment mark M2 and the crystal pattern can be measured.
舉例來說,當由於雷射光束的特徵變化使雷射光束發生旋轉時,第一基底的第一對齊標記M1和/或第二對齊標記M2中 的任一者將偏離結晶圖案的中心軸,如圖7(a)中所示。並且,當由於雷射光束的特徵變化使雷射光束移位時,所有的第一對齊標記M1和第二對齊標記M2將偏離結晶圖案的中心軸,如圖7(b)中所示。 For example, when the laser beam is rotated due to a characteristic change of the laser beam, the first alignment mark M1 and/or the second alignment mark M2 of the first substrate Either of them will deviate from the central axis of the crystal pattern as shown in Fig. 7(a). Also, when the laser beam is displaced due to a characteristic change of the laser beam, all of the first alignment mark M1 and the second alignment mark M2 will deviate from the central axis of the crystal pattern as shown in Fig. 7(b).
為了使第一基底之後的第二基底不經歷此類變動,取決於對齊標記與結晶圖案的邊緣之間的距離,本發明的實施例通過校正參考點來對齊第二基底。在雷射振盪之後,多個基底被依次放置到處理室中以進行結晶,因此可以通過識別第一基底的結晶圖案以及校正第二基底的位置即時改進雷射光束的變動。 In order for the second substrate after the first substrate to not undergo such variations, depending on the distance between the alignment marks and the edges of the crystalline pattern, embodiments of the present invention align the second substrate by correcting the reference points. After the laser oscillation, a plurality of substrates are sequentially placed into the processing chamber for crystallization, so that the variation of the laser beam can be instantly improved by identifying the crystal pattern of the first substrate and correcting the position of the second substrate.
在校正參考點計算處理中,校正裝置是取決於距離計算的並且校正偏差被添加到參考點以計算校正參考點。可以存在用於取決於距離計算校正偏差的多種技術。舉例來說,通過除以2獲得的值,結晶圖案的一個邊緣與對齊標記的中心點之間的距離d1與結晶圖案的另一邊緣與對齊標記的中心點之間的另一距離d2之間的差值是作為校正偏差確定用的。將這種校正偏差添加到將確定為校正參考點的參考點。 In the correction reference point calculation process, the correction device is calculated depending on the distance and the correction deviation is added to the reference point to calculate the correction reference point. There may be a variety of techniques for calculating correction biases depending on the distance. For example, by dividing the value obtained by 2, the distance d1 between one edge of the crystal pattern and the center point of the alignment mark and another distance d2 between the other edge of the crystal pattern and the center point of the alignment mark The difference is determined as the correction deviation. This correction deviation is added to the reference point that will be determined as the correction reference point.
為了進行參考,圖8(a)到圖9(b)示出了通過應用校正偏差來計算校正參考點的方法。 For reference, FIGS. 8(a) to 9(b) illustrate a method of calculating a corrected reference point by applying a correction deviation.
假定由於雷射光束的特徵變化雷射光束移位,並且對齊標記M的中心點不位於結晶圖案的中心軸C上(如圖8(a)中所示),而是位於距離中心軸C的-x方向上(在左側上)。並且,圖9(a)假定對齊標記M的中心點不位於結晶圖案的中心軸C上,而 是位於距離中心軸C的+x方向上(在右側上)。 It is assumed that the laser beam is shifted due to the characteristic of the laser beam, and the center point of the alignment mark M is not located on the central axis C of the crystal pattern (as shown in FIG. 8(a)), but is located at a distance from the central axis C. In the -x direction (on the left). And, FIG. 9(a) assumes that the center point of the alignment mark M is not located on the central axis C of the crystal pattern, and It is located in the +x direction from the center axis C (on the right side).
測量作為結晶圖案的一個邊緣E1與對齊標記M的中心點之間的距離的距離d1以及作為結晶圖案的另一邊緣E2與對齊標記M的中心點之間的距離的另一距離d2。為了進行參考,對齊標記M的中心點對應於當基底最初對齊時參考的參考點。 The distance d1 which is the distance between one edge E1 of the crystal pattern and the center point of the alignment mark M and the other distance d2 which is the distance between the other edge E2 of the crystal pattern and the center point of the alignment mark M are measured. For reference, the center point of the alignment mark M corresponds to the reference point that is referenced when the substrate is initially aligned.
對作為結晶圖案的一個邊緣E1與對齊標記M的中心點之間的距離的距離d1與作為結晶圖案的另一邊緣E2與對齊標記M的中心點之間的距離的另一距離d2之間的差值進行測量並且除以2以計算校正偏差。舉例來說,當如圖8(a)中所示距離d1是1.5並且距離d2是0.5時,差值變為1,並且通過將差值除以2獲得的0.5變為校正偏差。並且,當如圖9(a)中所示距離d1是0.2並且距離d2是1.8時,差值變為1.6,並且通過將差值除以2獲得的0.8變為校正偏差。 Between the distance d1 of the distance between one edge E1 of the crystal pattern and the center point of the alignment mark M and another distance d2 of the distance between the other edge E2 of the crystal pattern and the center point of the alignment mark M The difference is measured and divided by 2 to calculate the correction deviation. For example, when the distance d1 is 1.5 and the distance d2 is 0.5 as shown in FIG. 8(a), the difference becomes 1, and 0.5 obtained by dividing the difference by 2 becomes a correction deviation. Also, when the distance d1 is 0.2 and the distance d2 is 1.8 as shown in FIG. 9(a), the difference value becomes 1.6, and 0.8 obtained by dividing the difference value by 2 becomes a correction deviation.
將以此方式計算出的校正偏差添加到參考點或者從參考點中減去所述校正偏差以計算新的校正參考點。就確定是否將校正偏差添加到參考點或者從參考點中減去校正偏差而言,將校正偏差添加到參考點或者從參考點中減去校正偏差使得校正參考點的位置移動到具有距離d1和距離d2中的較大值的邊緣。 The correction deviation calculated in this way is added to the reference point or subtracted from the reference point to calculate a new corrected reference point. To determine whether to add the correction deviation to the reference point or subtract the correction deviation from the reference point, add the correction deviation to the reference point or subtract the correction deviation from the reference point so that the position of the correction reference point is moved to have the distance d1 and The edge of the larger value in distance d2.
舉例來說,當距離d1具有如圖8(a)中所示的較大值時,參考校正點通過在與具有距離d1的一個邊緣E1對應的+x方向上以校正偏差0.5移動典型參考校正點來確定。因此,當第二基底的對齊標記與參考校正點對齊時,第二基底如圖8(b)中所示放置並 且因此可以在將雷射光束輻射到所述第二基底時防止發生移位。同樣地,當距離d2具有如圖9(a)中所示的較大值時,參考校正點通過在與具有距離d2的另一邊緣E2對應的-x方向上以校正偏差0.8移動典型參考校正點來確定。因此,當第二基底的對齊標記與參考校正點對齊時,第二基底如圖9(b)中所示放置並且因此可以在將雷射光束輻射到所述第二基底時防止發生移位。 For example, when the distance d1 has a larger value as shown in FIG. 8(a), the reference correction point is moved by the correction deviation 0.5 in the +x direction corresponding to one edge E1 having the distance d1. Click to confirm. Therefore, when the alignment mark of the second substrate is aligned with the reference correction point, the second substrate is placed as shown in FIG. 8(b) and And thus displacement can be prevented from occurring when the laser beam is radiated to the second substrate. Likewise, when the distance d2 has a larger value as shown in FIG. 9(a), the reference correction point moves by a typical reference correction with a correction deviation of 0.8 in the -x direction corresponding to the other edge E2 having the distance d2. Click to confirm. Therefore, when the alignment mark of the second substrate is aligned with the reference correction point, the second substrate is placed as shown in FIG. 9(b) and thus displacement can be prevented from occurring when the laser beam is radiated to the second substrate.
在本發明的上述實施例中描述了在整個基底上進行雷射光束輻射的方法的一個實例。然而,液晶顯示器(liquid crystal display,LCD)面板等大型基底可以在每個區段上進行選擇性結晶。因此,本發明的實施例還將能夠應用於甚至在每個區段上進行雷射光束輻射的結晶時。 An example of a method of performing laser beam irradiation over the entire substrate is described in the above-described embodiments of the present invention. However, large substrates such as liquid crystal display (LCD) panels can be selectively crystallized on each segment. Thus, embodiments of the present invention will also be applicable to crystallization of laser beam radiation even on each segment.
舉例來說,當假定如圖10(a)到圖10(c)中所示基底包含三個區段時,在基底在X軸方向上往返運動若干次的同時,雷射光束通過雷射模組210依次輻射到第一區段的結晶目標區域,如圖10(a)中所示。在完成到第一區段的雷射光束輻射之後,基底在y軸方向上傳送,如圖10(b)中所示,並且隨後在基底在X軸方向上往返運動若干次的同時,雷射光束輻射到第二區段的結晶目標區域。同樣地,在完成到第二區段的雷射光束輻射之後,基底在y軸方向上傳送,如圖10(c)中所示,並且隨後在基底在X軸方向上往返運動若干次的同時,雷射光束輻射到第三區段的結晶目標區域。 For example, when it is assumed that the substrate includes three segments as shown in FIGS. 10(a) to 10(c), the laser beam passes through the laser mode while the substrate reciprocates several times in the X-axis direction. The group 210 is sequentially radiated to the crystallization target region of the first segment as shown in Fig. 10(a). After completing the laser beam irradiation to the first section, the substrate is transported in the y-axis direction as shown in FIG. 10(b), and then the laser is reciprocated several times in the X-axis direction while the substrate is being moved. The beam is radiated to the crystalline target region of the second segment. Similarly, after completion of the laser beam irradiation to the second section, the substrate is transported in the y-axis direction as shown in FIG. 10(c), and then the substrate is reciprocated several times in the X-axis direction. The laser beam is radiated to the crystallization target region of the third segment.
對齊標記M1、M2或M3形成於每個區段上,並且因此 當通過使用對齊標記與結晶圖案之間的距離對齊基底用於到每個區段的雷射光束輻射時,可以通過參考點校正防止雷射光束的變動。也就是說,在第一基底的每個區段上進行第一基底對齊處理、結晶圖案化處理和校正參考點計算處理以確定校正參考點之後,基於在進行將雷射光束輻射到第二基底的每個區段之前計算出的校正參考點進行第二基底對齊處理,因此可以防止第二基底的變動。 Alignment marks M1, M2 or M3 are formed on each segment, and thus When the substrate is used for laser beam irradiation to each segment by using the distance between the alignment mark and the crystal pattern, the variation of the laser beam can be prevented by the reference point correction. That is, after performing the first substrate alignment process, the crystallization patterning process, and the correction reference point calculation process on each segment of the first substrate to determine the correction reference point, based on the irradiation of the laser beam to the second substrate The correction reference point calculated before each section performs the second substrate alignment processing, so that the variation of the second substrate can be prevented.
根據本發明的實施例,可以通過對齊基底提高位置精確度,方法是使用在進行選擇性結晶處理時針對每個基底計算出的校正偏差。並且,可以在每個基底的校正部分上進行選擇性結晶,方法是通過使用基底的雷射光束測量對齊下一基底。 According to an embodiment of the present invention, the positional accuracy can be improved by aligning the substrates by using the correction deviation calculated for each substrate when performing the selective crystallization process. Also, selective crystallization can be performed on the correction portion of each substrate by measuring the alignment of the next substrate by using the laser beam of the substrate.
雖然申請人參考附圖和示例性實施例來描述本發明,但是本發明並不限於此並且由所附的權利要求書界定。因此,所屬領域的技術人員可以在不脫離所附權利要求書的技術精神的前提下實施各種變化和修改。 While the invention is described with reference to the drawings and exemplary embodiments, the invention is not limited thereto and is defined by the appended claims. Therefore, various changes and modifications can be made by those skilled in the art without departing from the spirit of the appended claims.
C‧‧‧中心軸 C‧‧‧ center axis
d1、d2‧‧‧距離 D1, d2‧‧‧ distance
E1、E2‧‧‧邊緣 Edge of E1, E2‧‧
+x、-x‧‧‧方向 +x, -x‧‧ direction
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