Abstract:
The present invention discloses a U-shape optical path image scanning method and a scanning module thereof, in which an image of a document is reflected by a plurality of reflection mirrors to form image beams, and the image beams which enter the scanning module and the image beams which enter the pickup lens form a U-shape optical path. Optical axis of the pickup lens and the scanning module are parallel to the image of the document so as to prevent scattered beams from entering the pickup lens or forming a ghost image. Accordingly, the depth of field not only can be increased by increasing the length of the optical path in a limited space, but the pickup lens and the image sensor also can be easily adjusted in manufacture or assembly to reduce the assembly complexity and improve the mass production rate.

Description:
BACKGROUND OF THE INVENTION 
       [0001]    1. Field of the Invention 
         [0002]    The present invention relates to a U-shape optical path image scanning method and a scanning module thereof, in particular to a U-shape optical path image scanning module applied for a flatbed seamier or a multi-function printer. 
         [0003]    2. Description of the Related Art 
         [0004]    In recent years, scanner, particularly image scanner, becomes a major computer peripheral product, and the image scanner can capture an image of an object such as a document, a textual page, a photo, a film or even a flat object. The image can be captured by a way of projecting a light onto the document first, such that the light reflected by the document forms an image beam, and then using a plurality of reflection mirrors to reflect and change its optical path, such that the light is focused at an image sensor by a pickup lens. Since the content of the document is generally composed of texts or graphics, therefore the light absorption rate is relatively high, if a portion of light is projected onto a textual area or a graphic area, and the light absorption rate is relatively low, if a portion of light is projected onto a non-textual area or a non-graphic area. As a result, areas with different brightness will be formed. Therefore, the reflected image beams have different intensity areas respective to the positions of the document. Then, an image sensor (such as charge-coupled device, CCD) converts the focused image beam into a photo-electric signal, and then the photo-electric signal was read by a scanning software program, and finally a digital image is formed. The image of document can be stored in a file format of TIFF, EPS, BMP, GIF and PCX, etc. A commercial scanner such as a flat-bed scanner is used for scanning photos or printed matters. The scanner includes a cover glass disposed thereon for placing a desired document to be scanned, and a scanning module is moved by a rail to scan the document sequentially column by column, and convert the images into digital data, and the aforementioned operating principle is adopted generally by scanners. Related equipments of a scanner manufactured by a similar principle such as multi-function printers scan an image by moving the document with respect to the scanning module. 
         [0005]    With reference to  FIGS. 1 to 3 , schematic views of structures and optical path arrangements of different conventional scanning modules respectively are shown. The scanning module  91  includes a cover glass  12 , a frame  13 , an image sensor  14 , a pickup lens  15 , a light source  16  and reflection mirrors  917 . The light source  16  emits a light to be projected onto a document  2  to be scanned to form an image beam, and different ways of arranging the reflection minors  917  are adopted for changing the direction and path of the image beam, such that the image beam is incident into the pickup lens  15  and the image sensor  14 , and the length of the path of the image beam is called an optical distance. In a limited space of the scanning module  91 , the longer the optical distance, the higher is the depth of field as to the pickup lenses  15  and image sensors  14  of the same resolution, and also the better is the image as to wrinkles document  2 . An image beam gone through the reflection process for several times, the image beam is affected by the width of the beam, such that the angle of reflection of lights on both sides of the image beam is deviated from a predetermined traveling direction to produce a scattered light. After the scattered light is projected at the pickup lens  15 , the scattered lights may form a ghost image. To overcome the aforementioned problem, different solutions are disclosed in U.S. Pat. No. 6,058,281, U.S. Pat. No. 6,227,449, US2008/0007810, US2008/0170268, U.S. Pat. No. 6,421,158, and U.S. Pat. No. 5,815,329; Japan Patent Nos. JP60-06524, JP2005-328187, JP2004-274299; Great Britain Patent No. GB2317293; and R.O.C. Pat. Nos. TW418367 and TW476-494. In  FIG. 1 , four reflection mirrors  917  are used, and each reflection mirror  917  reflects an image beam once. In  FIG. 2 , five reflection minors  917  are used, and one of the reflection mirrors  917  reflects an image beam twice. In  FIG. 3 , the reflection mirrors  917  are arranged on forward side of the document  2 , and the pickup lens  15  and the image sensor  14  are moved or the light source  16  is moved to perform a scan. 
         [0006]    In addition to the requirements of a better depth of field and an elimination of a ghost image phenomenon, the optical axis of the pickup lens  15  and the image sensor  14  of the conventional scanning module is substantially perpendicular to the incident image beam of the scanning module  91 . Therefore, when the scanning module  91  is disposed, the image sensor  14  fixed onto the frame  13  must be moved on the X-Y plane for a calibration, and adjusted to a precisely aligned position. In the calibration process, the image sensor  14  is placed vertically, such that when the image sensor  14  is moved on the X-Y plane, a deviation in the Z direction will be produced due to the weight of the image sensor  14 . To overcome this problem, the prior arts used complicated precision fixtures to perform a calibration in X, Y and Z directions synchronously, and thus increasing the calibration time and the level of difficulty for mass productions. 
       SUMMARY OF THE INVENTION 
       [0007]    Therefore, it is an objective of the present invention to overcome the aforementioned shortcomings of the prior art by providing a U-shape optical path image scanning method to increase the depth of field and eliminate the ghost image phenomenon. 
         [0008]    To achieve the foregoing objectives, the present invention provides a U-shape optical path image scanning method in which an image of a document to be scanned is reflected by a plurality of reflection mirrors to change the direction and path of the reflection and increase an optical path such that the image beams which enter the scanning module and the image beams which enter the pickup lens form a U-shape optical path, and then an image sensor converts the image beams into photo-electric signals. As shown in  FIG. 4 , the method comprises the following steps: 
         [0009]    S 1 : A light emitted from a light source is incident to a document to be scanned, and the document to be scanned reflects the light to form an image beam L i  incident into a scanning module. The image beam Li leads in a +Z-axis direction, i.e., an included angle between the direction of {right arrow over (L)} i  and the +Z-axis is 0 on the X-Z plane, and 
         [0000]    
       
         
           
             
               
                 
                   1 
                   = 
                   
                     
                       
                         
                           L 
                           → 
                         
                         i 
                       
                       · 
                       
                         k 
                         → 
                       
                     
                     
                        
                       
                         
                           L 
                           → 
                         
                         i 
                       
                        
                     
                   
                 
               
               
                 
                   ( 
                   1 
                   ) 
                 
               
             
           
         
       
     
         [0010]    where {right arrow over (k)} is a unit vector in the +Z-axis direction, |{right arrow over (L)} i | is the length of the image beam L i , as shown in  FIG. 6 . 
         [0011]    S 2 : At least two reflection mirrors are disposed, which reflect the image beam L i  to form an image beam L o  incident to the pickup lens, and then an included angle φ between the image beam L o  and the image beam L i  on the X-Z plane is adjusted to satisfy the condition of: 
         [0000]    
       
         
           
             
               
                 
                   
                     
                       - 
                       1 
                     
                     ≤ 
                     
                       cos 
                        
                       
                         ( 
                         
                           π 
                           - 
                           φ 
                         
                         ) 
                       
                     
                   
                   = 
                   
                     
                       
                         
                           
                             L 
                             → 
                           
                           o 
                         
                         · 
                         
                           k 
                           → 
                         
                       
                       
                          
                         
                           
                             L 
                             _ 
                           
                           o 
                         
                          
                       
                     
                     ≤ 
                     
                       - 
                       0.707 
                     
                   
                 
               
               
                 
                   ( 
                   2 
                   ) 
                 
               
             
           
         
       
     
         [0012]    where φ is an included angle between the image beam Lo and an axial line parallel to the Z-axis, {right arrow over (k)} is a unit vector in the +Z-axis direction, and |{right arrow over (L)} o | is the length of the image beam L o , as shown in  FIG. 6 . 
         [0013]    S 3 : The optical axis of the pickup lens and the image sensor are calibrated such that the optical axis of the pickup lens and the image sensor are coincide with the image beam L o  incident to the pickup lens. 
         [0014]    According to the U-shape optical path image scanning method provided by the present invention, at least two reflection mirrors are used to reflect the image beam L i , so as to increase the length of the optical path and the depth of field of the image beam L o . Moreover, the image beam L o  incident to the pickup lens and the image beam L i  incident to the scanning module are in opposite directions, and therefore, scattered lights produced by the multiple reflections of the image beams from the reflection mirrors will not enter the field of angle of the pickup lens, and thus the ghost image phenomenon can be eliminated to enhance the scanned image quality. 
         [0015]    With reference to  FIG. 11 , a scanning module applicable for the U-shape optical path image scanning method in accordance with the present invention is shown. The scanning module comprises at least one light source, a plurality of reflection mirrors, a pickup lens, an image sensor and a frame. The angular relationship between the reflection mirrors satisfies the condition of: 
         [0000]    
       
         
           
             
               
                 
                   
                     - 
                     
                       π 
                       4 
                     
                   
                   ≤ 
                   
                     
                       
                         ∑ 
                         
                           i 
                           = 
                           1 
                         
                         n 
                       
                        
                       
                           
                       
                        
                       
                         α 
                         i 
                       
                     
                     - 
                     
                       
                         π 
                         2 
                       
                        
                       
                         ( 
                         
                           n 
                           + 
                           1 
                         
                         ) 
                       
                     
                   
                   ≤ 
                   
                     π 
                     4 
                   
                 
               
               
                 
                   ( 
                   3 
                   ) 
                 
               
             
           
         
       
     
         [0016]    where α i  is an included angle formed by the normal line of a reflecting surface of the i th  reflection mirror and the +Z-axis along the optical path, whose symbols are illustrated in  FIG. 5 , α i  is an included angle formed by the normal line  31  of the reflection mirror M 1  and the +Z-axis (or +k direction), α 2  is an included angle formed by the normal line  32  of the reflection mirror M 2  and the +Z-axis (or +k direction), and u is the total number of reflecting times along the optical path, such as n=9 as shown in  FIG. 11 : 
         [0000]    
       
         
           
             
               
                 
                   ∑ 
                   
                     i 
                     = 
                     1 
                   
                   n 
                 
                  
                 
                     
                 
                  
                 
                   α 
                   i 
                 
               
               - 
               
                 
                   π 
                   2 
                 
                  
                 
                   ( 
                   
                     n 
                     + 
                     1 
                   
                   ) 
                 
               
             
             = 
             
               
                 ( 
                 
                   
                     
                       
                         
                           α 
                           1 
                         
                         + 
                         
                           α 
                           2 
                         
                         + 
                         
                           α 
                           3 
                         
                         + 
                         
                           α 
                           4 
                         
                         + 
                         
                           α 
                           3 
                         
                         + 
                       
                     
                   
                   
                     
                       
                         
                           α 
                           4 
                         
                         + 
                         
                           α 
                           3 
                         
                         + 
                         
                           α 
                           2 
                         
                         + 
                         
                           α 
                           5 
                         
                       
                     
                   
                 
                 ) 
               
               - 
               
                 
                   π 
                   2 
                 
                  
                 
                   ( 
                   
                     9 
                     + 
                     1 
                   
                   ) 
                 
               
             
           
         
       
     
         [0017]    In the scanning module applicable for the U-shape optical path image scanning method of the present invention, wherein the axial direction of an optical axis of a pickup lens is opposite to the direction of the image beam L i  incident to the scanning module, and whose optical path is a U-shape and satisfies the aforementioned conditions of Equation (2). 
         [0018]    To reduce the scattered lights from entering the pickup lens, it is preferably to have an included angles θ of the optical axis of the pickup lens and the image sensor and a line parallel to the image beam L i  satisfy the condition of: 
         [0000]    
       
         
           
             
               
                 
                   θ 
                   ≤ 
                   
                     
                       
                         tan 
                         
                           - 
                           1 
                         
                       
                        
                       
                         ( 
                         
                           λ 
                           
                             D 
                             o 
                           
                         
                         ) 
                       
                     
                     2 
                   
                 
               
               
                 
                   ( 
                   4 
                   ) 
                 
               
             
           
         
       
     
         [0019]    where, 2λ is a diagonal length of an effective sensing range of the image sensor, and D o  is the distance from the last reflecting point to the surface of image sensor along the optical axis, as shown in  FIG. 7 . 
         [0020]    If alternative components are used or one light source or two (or more) light sources are used, it will be not necessary to change the position and angle of the reflection mirrors. Users simply need to calibrate the image beam to be incident to the scanning module to a predetermined position. Once if a pickup lens with a different focal length is used, 2, 3, 4, 5 (or more) reflection mirrors can be suitably used to provide a different total length (TTL) of the optical path to give a different depth of field. Once if an image sensor of a different size is replaced to change the position of the image beam L o , users simply need to adjust the reflecting position of the image beam L o . Further, the position of the pickup lens can be adjusted to fit a pickup lens with a different focal length in order to provide a broader scope of applications. 
         [0021]    Therefore, a U-shape optical path image scanning method and a scanning module thereof in accordance with the present invention have one or more of the following features: 
         [0022]    (1) The reflection mirrors reflect the image beam to increase the depth of field. Since the image beam forms a U-shape optical path in its traveling process, the scattered lights produced by the multiple reflections from the reflection mirrors can be reduced or eliminated to effectively prevent the ghost image phenomenon. 
         [0023]    (2) During manufacture or assembly, the optical axis of the pickup lens and the image sensor can be adjusted easily to coincide with the optical axis of the image beam L o , so as to reduce the assembly difficulty and enhance the mass production rate. 
         [0024]    (3) One light source, or two (or more) light sources, and 2, 3, 4, 5 (or more) reflection mirrors can be adopted in the U-shape optical path scanning module to produce a different depth of field. Further, the position of the pickup lens can be adjusted to fit a pickup lens of a different focal length, so as to provide a broader scope of applications. 
     
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         [0025]      FIG. 1  is a schematic view of a first conventional scanning module; 
           [0026]      FIG. 2  is a schematic view of a second conventional scanning module; 
           [0027]      FIG. 3  is a schematic view of a third conventional scanning module; 
           [0028]      FIG. 4  is a flow chart of a U-shape optical path image scanning method in accordance with the present invention; 
           [0029]      FIG. 5  shows symbols for illustrating an included angle between the normal line of a reflecting surface of a reflection minor and the Z-axis along an optical path; 
           [0030]      FIG. 6  is a schematic view of an included angle formed by optical axis of a pickup lens and an axial line parallel to the Z-axis; 
           [0031]      FIG. 7  is a schematic view of an included angle formed by an image beam Lo and an axial line parallel to the Z-axis; 
           [0032]      FIG. 8  is a schematic view of a scanning module in accordance with a first preferred embodiment of the present invention; 
           [0033]      FIG. 9  is a schematic view of a scanning module in accordance with a second preferred embodiment of the present invention; 
           [0034]      FIG. 10  is a schematic view of a scanning module in accordance with a third preferred embodiment of the present invention; and 
           [0035]      FIG. 11  is a schematic view of a scanning module in accordance with a fourth preferred embodiment of the present invention. 
       
    
    
     DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS 
       [0036]    The present invention will now be described in more detail hereinafter with reference to the accompanying drawings that show various embodiments of the invention as follows. 
         [0037]    With reference to  FIG. 11 , a schematic view of a scanning module in accordance with a preferred embodiment of the present invention is shown. The scanning module  1  comprises two light sources  16   a ,  16   b , five reflection mirrors (M 1 , M 2 , M 3 , M 4 , M 5 )  171 ˜ 175 , a pickup lens  15 , an image sensor  14  and a frame  13 . The light source  16  emits a light that passes through a cover glass  12  and is projected onto a document  2  to be scanned. The light reflected from the document  2  to be scanned passes through the cover glass  12  to form an image beam L i    21  incident to the scanning module  1 . The image beam L i    21  is reflected sequentially from a first reflection mirror (M 1 )  171  for the first-time reflection, a second reflection mirror (M 2 )  172  for the second-time reflection, a third reflection mirror (M 3 )  173  for the third-time reflection, a fourth reflection mirror (M 4 )  174  for the fourth-time reflection, the third reflection mirror (M 3 )  173  for the fifth-time reflection, the fourth reflection minor (M 4 )  174  of the sixth-time reflection, the third reflection minor (M 3 )  173  for the seventh-time reflection, the second reflection mirror (M 2 )  172  for the eighth-time reflection, a fifth reflection mirror (M 5 )  175  for the ninth-time reflection to finally form an image beam L o  incident to the pickup lens  15 . For simplicity, the optical path can be represented by L i →M 1 →M 2 →M 3 →M 4 →M 3 →M 4 →M 3 →M 2 →M 5 →L o , and the travelling directions of the image beam L i  and the image beam L o  are opposite to each other, and substantially form a U-shape optical path. 
         [0038]    The angular relationship of each reflection minor satisfies the condition of: 
         [0000]    
       
         
           
             
               - 
               
                 π 
                 4 
               
             
             ≤ 
             
               
                 
                   ∑ 
                   
                     i 
                     = 
                     1 
                   
                   n 
                 
                  
                 
                     
                 
                  
                 
                   α 
                   i 
                 
               
               - 
               
                 
                   π 
                   2 
                 
                  
                 
                   ( 
                   
                     n 
                     + 
                     1 
                   
                   ) 
                 
               
             
             ≤ 
             
               π 
               4 
             
           
         
       
     
         [0039]    On the X-Z plane, the travelling direction of the image beam L o    22  is opposite to the +Z-axis, and an included angle θ formed by the image beam L o  and the axial line  23  parallel to the Z-axis satisfies the condition of: 
         [0000]    
       
         
           
             
               
                 - 
                 1 
               
               ≤ 
               
                 cos 
                  
                 
                   ( 
                   
                     π 
                     - 
                     φ 
                   
                   ) 
                 
               
             
             = 
             
               
                 
                   
                     
                       L 
                       ⇀ 
                     
                     o 
                   
                   · 
                   
                     k 
                     ⇀ 
                   
                 
                 
                    
                   
                     
                       L 
                       ⇀ 
                     
                     o 
                   
                    
                 
               
               ≤ 
               
                 - 
                 0.707 
               
             
           
         
       
     
         [0040]    When the scanning module  1  is assembled, the included angle θ formed by the optical axis of the pickup lens  15  and the image sensor  14  and the axial line parallel to image beam L i  (i.e. parallel to the +Z-axis) satisfy the condition of 
         [0000]    
       
         
           
             θ 
             ≤ 
             
               
                 
                   tan 
                   
                     - 
                     1 
                   
                 
                  
                 
                   ( 
                   
                     λ 
                     
                       D 
                       o 
                     
                   
                   ) 
                 
               
               2 
             
           
         
       
     
         [0041]    The position relationship between the reflection minors is determined by the coordinates (M iX , M iZ ) of a reflecting point which represents the position of the i th  reflection minor in the X-Z plane, the angle of the reflection mirror and the angle of the light incident to the reflection mirror: 
         [0000]        M   (i+1)X   =M   iX   −D   i  sin(180±2α i1 +β i ) 
         [0000]        M   (i+1)Z   =M   iZ   −D   i  cos(180±2α i1 +β i )  (5) 
         [0042]    where α i  is an included angle between the normal line of a reflecting surface of the i th  reflection mirror and the +Z-axis along the optical path, (M iX , M iZ ) is the (X, Z) coordinates of a reflecting point of the i th  reflection mirror, and β i  is an included angle between the image beam incident to the i th  reflection minor and the +Z-axis, as shown in  FIG. 5 . 
         [0043]    The image beam is reflected by the reflection minor (M 2 )  172  for two times, by the reflection mirror (M 3 )  173  for three times, and by the reflection mirror (M 4 )  174  for two times. In the prior art, intensely scattered lights are produced in multiple reflections, and a ghost image is formed. It is necessary to adjust the width or angle of the reflection mirror appropriately to reduce the scattered lights. However, the scanning module  1  of this preferred embodiment adopts a U-shape optical path image scanning method, and uses less reflection mirrors for performing the multiple reflections, so as to increase the length of the optical path and the depth of field. In addition, the U-shape optical path is formed by the light beam, such that the pickup lens  15  is aligned in a direction opposite to the direction of the incident image beam L i , and the image capturing angle of the pickup lens  15  is controlled to prevent the scattered lights reflected back and forth among the reflection mirrors. Therefore, a vast majority of scattered lights is absorbed completely by an internal wall of the frame  13  to substantially reduce or eliminate the scattered fights, so as to prevent the ghost image phenomenon effectively. 
         [0044]    During the manufacturing and assembling processes of the scanning module  1 , the image sensor  14  is disposed horizontally (on the X-Y plane), and thus the image sensor  14  can be retained onto the frame  13  directly, such that when the optical axis is calibrated and closing to with the image beam Lo, users simply need to calibrate the X-Y direction only. Such arrangement can improve the prior art as shown in  FIG. 1 , wherein the image sensor  14  of the prior art is disposed vertically, and thus it is difficult to make the calibration in the Y-Z direction due to the gravitational force of the image sensor  14 . Obviously, the invention can reduce the level of difficulty of the assembling and improve the mass production rate. 
         [0045]    In a first preferred embodiment, a scanning module with two reflection mirrors is adopted. With reference to  FIG. 8 , a schematic view of a scanning module  1  using two reflection minors in accordance with a first preferred embodiment of the present invention is shown. The scanning module  1  comprises two cold cathode fluorescent lamp light sources  16   a ,  16   b , two reflection mirrors M 1  ( 171 ), M 2  ( 172 ), a pickup lens  15 , an image sensor  14  and a frame  13 . 
         [0046]    The light sources  16   a ,  16   b  emit lights that pass through a cover glass  12  and are projected onto the document  2  to be scanned to produce an image beam L i  incident to the scanning module  1 . The image beam L i  is reflected by the reflection mirror M 1  and projected onto the reflection mirror M 2 , the reflection mirror M 2  reflects the image beam to form an image beam L o , and then the pickup lens  15  focuses the image beam L o  to form an image at the surface of image sensor  14 . The frame  13  is provided for containing each component in the scanning module  1 , and the optical path is Obj→M 1 →M 2 →Img, and the total optical path length (TTL) is Di+D 1 +Do=164.85 mm. An included angle between the normal line of a reflecting surface of the reflection mirror M 1  ( 171 ), M 2  ( 172 ) and the +Z-axis is α i , and the coordinates of a reflecting point of the reflection mirror M 1  ( 171 ), M 2  ( 172 ) are (M iX , M iZ ), as shown in Table 1: 
         [0000]    
       
         
               
             
               
               
               
               
               
             
               
               
               
               
               
             
           
               
                 TABLE 1 
               
             
             
               
                   
               
               
                 Optical Parameters of the First Preferred Embodiment 
               
             
          
           
               
                   
                 Surface 
                 α i  (°deg.) 
                 D i  (mm) 
                 (M iX , M iZ ) 
               
               
                   
                   
               
             
          
           
               
                   
                 Obj 
                   
                 0 
                   (0, 0) 
               
               
                   
                 M1 
                 135.00 
                 71.84 
                      (0, 71.84) 
               
               
                   
                 M2 
                 135.00 
                 40.38 
                 (−40.38, 71.84) 
               
               
                   
                 Img 
                   
                 52.65 
                 (−41.31, 19.20) 
               
               
                   
                   
               
             
          
         
       
     
         [0047]    Since the traveling directions of the image beam L i  incident to the scanning module  1  and the image beam L o  incident to the pickup lens  15  are opposite to each other; and the optical path is in a U-shape, and the pickup lens  15  is aligned towards the −Z-axis direction, therefore the scattered light of the image beam L i  can be reduced, and the scattered light of the image beam reflected from the reflection minor M 1  entering into the pickup lens  15  can be reduced to eliminate the ghost image phenomenon effectively. 
         [0048]    On the X-Z plane, {right arrow over (L)} o =(−0.937{right arrow over (i)}−52.64{right arrow over (k)}), and φ=1.012 (deg.) satisfy the condition of: 
         [0000]    
       
         
           
             
               
                 - 
                 1 
               
               ≤ 
               
                 
                   
                     
                       L 
                       ⇀ 
                     
                     o 
                   
                   · 
                   
                     k 
                     ⇀ 
                   
                 
                 
                    
                   
                     
                       L 
                       ⇀ 
                     
                     o 
                   
                    
                 
               
             
             = 
             
               
                 - 
                 0.99984 
               
               ≤ 
               
                 - 
                 0.707 
               
             
           
         
       
     
         [0049]    where an included angle θ is an included angle between the image beam L o  and an axial line parallel to the Z-axis, |{right arrow over (L)} o | is the length of the image beam Lo, and {right arrow over (k)} is a unit vector in the +Z-axis direction. 
         [0050]    The angles of the reflection mirror M 1  ( 171 ) and the reflection mirror M 2  ( 172 ) and 
         [0000]    
       
         
           
             
               
                 
                   ∑ 
                   
                     i 
                     = 
                     1 
                   
                   2 
                 
                  
                 
                     
                 
                  
                 
                   α 
                   i 
                 
               
               - 
               
                 
                   π 
                   2 
                 
                  
                 
                   ( 
                   
                     2 
                     + 
                     1 
                   
                   ) 
                 
               
             
             = 
             0 
           
         
       
     
         [0000]    satisfy the condition of: 
         [0000]    
       
         
           
             
               
                 
                   - 
                   
                     π 
                     4 
                   
                 
                 ≤ 
                 
                   
                     
                       ∑ 
                       
                         i 
                         = 
                         1 
                       
                       2 
                     
                      
                     
                         
                     
                      
                     
                       α 
                       i 
                     
                   
                   - 
                   
                     
                       π 
                       2 
                     
                      
                     
                       ( 
                       
                         2 
                         + 
                         1 
                       
                       ) 
                     
                   
                 
               
               = 
               
                 0 
                 ≤ 
                 
                   π 
                   4 
                 
               
             
             ; 
           
         
       
     
         [0051]    where α i  is an included angle between the normal line of a reflecting surface of the i th  reflection minor in the optical path and the +Z-axis, and u is the total number of reflecting times along the optical path, and n=2 in this preferred embodiment. 
         [0052]    The image sensor  14  used in this preferred embodiment is 1.58×35.02 mm, 2λ=35.05 mm, and tan 
         [0000]    
       
         
           
             
               
                 
                   tan 
                   
                     - 
                     1 
                   
                 
                  
                 
                   ( 
                   
                     λ 
                     
                       D 
                       o 
                     
                   
                   ) 
                 
               
               2 
             
             = 
             
               6.327 
                
               
                 
                   ( 
                   
                     deg 
                     . 
                   
                   ) 
                 
                 . 
               
             
           
         
       
     
         [0053]    In this preferred embodiment, the included angle θ between the optical axis of the pickup lens  15  and the image sensor  14  and the axial line parallel to the Z-axis is equal to 0.127°, and satisfies the condition of 
         [0000]    
       
         
           
             θ 
             = 
             
               
                 0.127 
                  
                 ° 
               
               ≤ 
               
                 
                   
                     tan 
                     
                       - 
                       1 
                     
                   
                    
                   
                     ( 
                     
                       λ 
                       
                         D 
                         o 
                       
                     
                     ) 
                   
                 
                 2 
               
             
           
         
       
     
         [0054]    In a second preferred embodiment, a scanning module with three reflection mirrors is adopted. With reference to  FIG. 9 , a schematic view of a scanning module  1  using three reflection minors in accordance with a second preferred embodiment of the present invention is shown. The scanning module  1  comprises two xenon lamp light sources  16   a ,  16   b , three reflection mirrors M 1  ( 171 ), M 2  ( 172 ), M 3  ( 173 ), a pickup lens  15 , an image sensor  14  and a frame  13 . 
         [0055]    The light source  16   a ,  16   b  emit lights that pass through a cover glass  12  and are projected onto the document  2  to be scanned to produce an image beam L i  incident to the scanning module  1 . The image beam L i  is reflected by the reflection mirror M 1 , reflected light beam reflected by the reflection minor M 2  and the reflection mirror M 3 , an image beam L o  is formed, and then the pickup lens  15  focuses the image beam L o  to form an image at the surface of image sensor  14 . The frame  13  is provided for accommodating each component in the scanning module  1 . The optical path is Obj→M 1 →M 2 →M 3 →Img, and the total optical path length (TTL) is Di+D 1 +D 2 +Do=184.01 mm. An included angle between the normal line of the reflecting surface of the reflection mirror M 1  ( 171 ), M 2  ( 172 ), M 3  ( 173 ) and the +Z-axis is α i , and the coordinates of the reflecting point of the reflection mirror M 1  ( 171 ), M 2  ( 172 ), M 3  ( 173 ) is (M iX , M iZ ) as shown in Table 2: 
         [0000]    
       
         
               
             
               
               
               
               
               
             
               
               
               
               
               
             
           
               
                 TABLE 2 
               
             
             
               
                   
               
               
                 Optical Parameters of the Second Preferred Embodiment 
               
             
          
           
               
                   
                 Surface 
                 α i (°Deg.) 
                 Di(mm) 
                 (M iX , M iZ ) 
               
               
                   
                   
               
             
          
           
               
                   
                 Obj 
                   
                 0 
                   (0, 0) 
               
               
                   
                 M1 
                 153.15 
                 69.54 
                      (0, 69.54) 
               
               
                   
                 M2 
                 67.82 
                 15.87 
                   (12.83, 60.19) 
               
               
                   
                 M3 
                 139.53 
                 52.63 
                 (−39.18, 68.11) 
               
               
                   
                 Img 
                   
                 45.97 
                 (−40.38, 22.15) 
               
               
                   
                   
               
             
          
         
       
     
         [0056]    Since the traveling directions of the image beam L i  incident to the scanning module  1  and the image beam L o  incident to the pickup lens  15  are opposite to each other; and the optical path is in a U-shape, and the pickup lens  15  is aligned towards the −Z-axis direction, therefore the scattered light of the image beam Li can be reduced, and the scattered light of the image beam reflected from the reflection mirror M 1 , M 2  and entering into the pickup lens  15  can be reduced to eliminate the ghost image phenomenon effectively. 
         [0057]    On the X-Z plane, {right arrow over (L)} o =(−1.2{right arrow over (i)}−49.55{right arrow over (k)}), and θ=2.88 (deg.) satisfy the condition of: 
         [0000]    
       
         
           
             
               
                 - 
                 1 
               
               ≤ 
               
                 
                   
                     
                       L 
                       ⇀ 
                     
                     o 
                   
                   · 
                   
                     k 
                     ⇀ 
                   
                 
                 
                    
                   
                     
                       L 
                       ⇀ 
                     
                     o 
                   
                    
                 
               
             
             = 
             
               
                 - 
                 0.998 
               
               ≤ 
               
                 - 
                 0.707 
               
             
           
         
       
     
         [0058]    where an included angle θ is an included angle between the image beam L o  and an axial line parallel to the Z-axis, |{right arrow over (L)} o | is the length of the image beam Lo, and {right arrow over (k)} is a unit vector in the +Z-axis direction. 
         [0059]    The angles of the reflection mirror M 1  ( 171 ), the reflection mirror M 2  ( 172 ) and the reflection mirror M 3 ( 173 ) and 
         [0000]    
       
         
           
             
               
                 
                   ∑ 
                   
                     i 
                     = 
                     1 
                   
                   3 
                 
                  
                 
                     
                 
                  
                 
                   α 
                   i 
                 
               
               - 
               
                 
                   π 
                   2 
                 
                  
                 
                   ( 
                   
                     3 
                     + 
                     1 
                   
                   ) 
                 
               
             
             = 
             
               0.00278 
                
               π 
             
           
         
       
     
         [0000]    satisfy the condition of: 
         [0000]    
       
         
           
             
               
                 - 
                 
                   π 
                   4 
                 
               
               ≤ 
               
                 
                   
                     ∑ 
                     
                       i 
                       = 
                       1 
                     
                     3 
                   
                    
                   
                       
                   
                    
                   
                     α 
                     i 
                   
                 
                 - 
                 
                   
                     π 
                     2 
                   
                    
                   
                     ( 
                     
                       3 
                       + 
                       1 
                     
                     ) 
                   
                 
               
             
             = 
             
               
                 0.00278 
                  
                 π 
               
               ≤ 
               
                 π 
                 4 
               
             
           
         
       
     
         [0060]    where α i  is an included angle between the normal line of a reflecting surface of the i th  reflection mirror in the optical path and the +Z-axis, and n is the total number of reflecting times along the optical path, and n=3 in this preferred embodiment. 
         [0061]    The image sensor  14  used in this preferred embodiment is 1.58×35.02 mm, 2λ=35.05 mm, and tan 
         [0000]    
       
         
           
             
               
                 
                   tan 
                   
                     - 
                     1 
                   
                 
                  
                 
                   ( 
                   
                     λ 
                     
                       D 
                       o 
                     
                   
                   ) 
                 
               
               2 
             
             = 
             
               8.2716 
                
               
                 
                   ( 
                   
                     deg 
                     . 
                   
                   ) 
                 
                 . 
               
             
           
         
       
     
         [0062]    The included angle θ between the optical axis of the pickup lens  15  and the image sensor  14  and the axial line parallel to the Z-axis equals to 1.26° in this preferred embodiment and satisfies the condition of: 
         [0000]    
       
         
           
             θ 
             = 
             
               
                 1.26 
                  
                 ° 
               
               ≤ 
               
                 
                   
                     tan 
                     
                       - 
                       1 
                     
                   
                    
                   
                     ( 
                     
                       λ 
                       
                         D 
                         o 
                       
                     
                     ) 
                   
                 
                 2 
               
             
           
         
       
     
         [0063]    In a third preferred embodiment, a scanning module with four reflection mirrors is adopted. With reference to  FIG. 10 , a schematic view of a scanning module using four reflection mirrors in accordance with a third preferred embodiment of the present invention is shown. The scanning module  1  comprises two LED lamp light sources  16   a ,  16   b , four reflection mirrors M 1  ( 171 ), M 2  ( 172 ), M 3  ( 173 ), M 4  ( 174 ), a pickup lens  15 , an image sensor  14  and a frame  13 . 
         [0064]    The light source  16   a ,  16   b  emit lights that pass through a cover glass  12  and are projected onto the document  2  to be scanned to produce an image beam L i  incident to the scanning module  1 . The image beam L i  is reflected by the reflection mirrors M 1 , M 2 , M 3  and M 4 , an image beam L o  is formed, and then the pickup lens  15  focuses the image beam L o  to form an image at the surface of image sensor  14 . The frame  13  is provided for accommodating each component in the scanning module  1 . The optical path is Obj→M 1 →M 2 →M 3 →M 4 →Img, and the total optical path length (TTL) is Di+D 1 +D 2 +D 3 +Do=248.60. An included angle between the normal line of the reflecting surface of the reflection mirror M 1  ( 171 ), M 2  ( 172 ), M 3  ( 173 ), M 4  ( 174 ) and the +Z-axis is α i , and the coordinates of the reflecting point of the reflection mirror M 1  ( 171 ), M 2  ( 172 ), M 3  ( 173 ), M 4  ( 174 ) is (M iX , M iZ ) as shown in Table 3: 
         [0000]    
       
         
               
             
               
               
               
               
               
             
               
               
               
               
               
             
           
               
                 TABLE 3 
               
             
             
               
                   
               
               
                 Optical Parameters of the Third Preferred Embodiment 
               
             
          
           
               
                   
                 Surface 
                 α i  (°Deg.) 
                 Di(mm) 
                 (M iX , M iZ ) 
               
               
                   
                   
               
             
          
           
               
                   
                 Obj 
                   
                 0 
                   (0, 0) 
               
               
                   
                 M1 
                 169.98 
                 70.18 
                      (0, 70.18) 
               
               
                   
                 M2 
                 52.26 
                 38.60 
                 (−13.02, 33.87) 
               
               
                   
                 M3 
                 74.16 
                 24.91 
                   (11.93, 34.75) 
               
               
                   
                 M4 
                 151.41 
                 61.28 
                 (−39.18, 66.57) 
               
               
                   
                 Img 
                   
                 53.63 
                 (−40.38, 12.94) 
               
               
                   
                   
               
             
          
         
       
     
         [0065]    Since the traveling directions of the image beam L i  incident to the scanning module  1  and the image beam L o  incident at the pickup lens  15  are opposite to each other; and the optical path is in a U-shape, and the pickup lens  15  is aligned towards the −Z-axis direction, therefore the scattered light of the image beam L i  can be reduced, and the scattered light of the image beam reflected from the reflection mirror M 1 , M 2 , M 3  and entering into the pickup lens  15  can be reduced to eliminate the ghost image phenomenon effectively. 
         [0066]    On the plane X-Z, {right arrow over (L)} o =(−1.2{right arrow over (i)}−55.63{right arrow over (k)}), and φ=4.678 (deg.) satisfy the condition of: 
         [0000]    
       
         
           
             
               
                 - 
                 1 
               
               ≤ 
               
                 
                   
                     
                       L 
                       _ 
                     
                     o 
                   
                   · 
                   
                     k 
                     _ 
                   
                 
                 
                    
                   
                     
                       L 
                       _ 
                     
                     o 
                   
                    
                 
               
             
             = 
             
               
                 - 
                 0.966 
               
               ≤ 
               
                 - 
                 0.707 
               
             
           
         
       
     
         [0067]    where an included angle φ is an included angle between the image beam L o  and an axial line parallel to the Z-axis, |{right arrow over (L)} o | is the length of the image beam L o , and {right arrow over (k)} is a unit vector in the +Z-axis direction. 
         [0068]    The angles of the reflection mirror M 1  ( 171 ), the reflection mirror M 2  ( 172 ), the reflection mirror M 3  ( 173 ) and the reflection mirror M 4  ( 174 ) and 
         [0000]    
       
         
           
             
               
                 
                   ∑ 
                   
                     i 
                     = 
                     1 
                   
                   4 
                 
                  
                 
                     
                 
                  
                 
                   α 
                   i 
                 
               
               - 
               
                 
                   π 
                   2 
                 
                  
                 
                   ( 
                   
                     4 
                     + 
                     1 
                   
                   ) 
                 
               
             
             = 
             
               
                 - 
                 0.0122 
               
                
               π 
             
           
         
       
     
         [0000]    satisfy the condition of: 
         [0000]    
       
         
           
             
               
                 - 
                 
                   π 
                   4 
                 
               
               ≤ 
               
                 
                   
                     ∑ 
                     
                       i 
                       = 
                       1 
                     
                     4 
                   
                    
                   
                       
                   
                    
                   
                     α 
                     i 
                   
                 
                 - 
                 
                   
                     π 
                     2 
                   
                    
                   
                     ( 
                     
                       4 
                       + 
                       1 
                     
                     ) 
                   
                 
               
             
             = 
             
               
                 
                   - 
                   0.0122 
                 
                  
                 π 
               
               ≤ 
               
                 π 
                 4 
               
             
           
         
       
     
         [0069]    where α i  is an included angle between the normal line of a reflecting surface of the i th  reflection mirror in the optical path and the +Z-axis, and n is the total number of reflecting times along the optical path, and n=4 in this preferred embodiment. 
         [0070]    The image sensor  14  used in this preferred embodiment is 1.58×35.02 mm, 2λ=35.05 mm, and tan 
         [0000]    
       
         
           
             
               
                 
                   tan 
                   
                     - 
                     1 
                   
                 
                  
                 
                   ( 
                   
                     λ 
                     
                       D 
                       o 
                     
                   
                   ) 
                 
               
               2 
             
             = 
             
               4.678 
                
               
                 
                   ( 
                   
                     deg 
                     . 
                   
                   ) 
                 
                 . 
               
             
           
         
       
     
         [0071]    The included angle θ between the optical axis of the pickup lens  15  and the image sensor  14  and the axial line parallel to the Z-axis equals to 1.56° in this preferred embodiment and satisfies the condition of: 
         [0000]    
       
         
           
             θ 
             = 
             
               
                 1.56 
                  
                 ° 
               
               ≤ 
               
                 
                   
                     tan 
                     
                       - 
                       1 
                     
                   
                    
                   
                     ( 
                     
                       λ 
                       
                         D 
                         o 
                       
                     
                     ) 
                   
                 
                 2 
               
             
           
         
       
     
         [0072]    With reference to  FIG. 11 , a scanning module using five reflection mirrors in accordance with a fourth preferred embodiment of the present invention is shown. The scanning module  1  comprises two LED lamp light sources  16   a ,  16   b , five reflection mirrors M 1  ( 171 ), M 2  ( 172 ), M 3  ( 173 ), M 4  ( 174 ), M 5  ( 175 ), a pickup lens  15 , a image sensor  14  and a frame  13 . 
         [0073]    The light source  16   a ,  16   b  emit lights that pass through a cover glass  12  and are projected onto the document  2  to be scanned to produce an image beam L i  incident to the scanning module  1 . The image beam L i  is reflected by each reflection mirror, an image beam L o  is formed, and then the pickup lens  15  focuses the image beam L o  to form an image at the surface of image sensor  14 . The frame  13  is provided for accommodating each component in the scanning module  1 . The optical path is Obj→M 1 →M 2 →M 3 →M 4 →M 3 →M 4 →M 3 →M 4 →M 2 →M 5 →Img, and the total optical path length (TTL) is Di+D 1 +D 2 +D 3 +D 4 +D 5 +D 6 +D 7 +D 8 +Do=363.01. An included angle between the normal line of the reflecting surface of the reflection mirror M 1  ( 171 ), M 2  ( 172 ), M 3  ( 173 ), M 4  ( 174 ), M 5  ( 175 ) and the +Z-axis is α i , and the coordinates of the reflecting point of the reflection mirror M 1  ( 171 ), M 2  ( 172 ), M 3  ( 173 ), M 4  ( 174 ), M 5  ( 175 ) is (M iX , M iZ ) as shown in Table 4: 
         [0000]    
       
         
               
             
               
               
               
               
               
             
               
               
               
               
               
             
           
               
                 TABLE 4 
               
             
             
               
                   
               
               
                 Optical Parameters of the Fourth Preferred Embodiment 
               
             
          
           
               
                   
                 Surface 
                 α i (°Deg.) 
                 Di(mm) 
                 (M iX , M iZ ) 
               
               
                   
                   
               
             
          
           
               
                   
                 Obj 
                   
                 0 
                 (0, 0) 
               
               
                   
                 M1 
                 149.51 
                 69.54 
                    (0, 69.54) 
               
               
                   
                 M2 
                 88.48 
                 16.39 
                 (14.32, 61.46) 
               
               
                   
                 M3 
                 90.23 
                 31.91 
                 (−13.65, 46.10)   
               
               
                   
                 M4 
                 81.53 
                 28.12 
                 (11.87, 34.17) 
               
               
                   
                 M3 
                 90.23 
                 25.18 
                 (−13.17, 31.58)   
               
               
                   
                 M4 
                 81.53 
                 24.47 
                 (11.28, 30.65) 
               
               
                   
                 M3 
                 90.23 
                 25.77 
                 (−13.39, 38.17)   
               
               
                   
                 M2 
                 88.48 
                 29.55 
                 (14.25, 48.61) 
               
               
                   
                 M5 
                 145.46 
                 57.35 
                 (−39.18, 69.47)   
               
               
                   
                 Img 
                   
                 54.74 
                 (−40.38, 12.10)   
               
               
                   
                   
               
             
          
         
       
     
         [0074]    Since the traveling directions of the image beam L i  incident to the scanning module  1  and the image beam L o  incident at the pickup lens  15  are opposite to each other; and the optical path is in a U-shape, and the pickup lens  15  is aligned towards the −Z-axis direction, therefore the scattered light of the image beam L i  can be reduced, and the scattered light of the image beam reflected from each reflection mirror and entering into the pick-up lens  15  can be reduced to eliminate the ghost image phenomenon effectively. 
         [0075]    On the plane X-Z, {right arrow over (L)} o =(−1.2{right arrow over (i)}−57.37{right arrow over (k)}) and φ=1.256 (deg.) satisfy the condition of: 
         [0000]    
       
         
           
             
               
                 - 
                 1 
               
               ≤ 
               
                 
                   
                     
                       L 
                       → 
                     
                     o 
                   
                   · 
                   
                     k 
                     → 
                   
                 
                 
                    
                   
                     
                       L 
                       → 
                     
                     o 
                   
                    
                 
               
             
             = 
             
               
                 - 
                 0.9997 
               
               ≤ 
               
                 - 
                 0.707 
               
             
           
         
       
     
         [0076]    where φ is an included angle between the image beam L o  and an axial line parallel to the Z-axis, |{right arrow over (L)} o | is the length of the image beam Lo, and {right arrow over (k)} is a unit vector in the +Z-axis direction. 
         [0077]    The angles of the reflection mirror M 1  ( 171 ), the reflection mirror M 2  ( 172 ), the reflection mirror M 3  ( 173 ), the reflection mirror M 4  ( 174 ) and the reflection minor M 5  ( 175 ) and 
         [0000]    
       
         
           
             
               
                 
                   ∑ 
                   
                     i 
                     = 
                     1 
                   
                   9 
                 
                  
                 
                     
                 
                  
                 
                   α 
                   i 
                 
               
               - 
               
                 
                   π 
                   2 
                 
                  
                 
                   ( 
                   
                     9 
                     + 
                     1 
                   
                   ) 
                 
               
             
             = 
             
               0.0316 
                
               π 
             
           
         
       
     
         [0000]    satisfy the condition of: 
         [0000]    
       
         
           
             
               
                 - 
                 
                   π 
                   4 
                 
               
               ≤ 
               
                 
                   
                     ∑ 
                     
                       i 
                       = 
                       1 
                     
                     9 
                   
                    
                   
                       
                   
                    
                   
                     α 
                     i 
                   
                 
                 - 
                 
                   
                     π 
                     2 
                   
                    
                   
                     ( 
                     
                       9 
                       + 
                       1 
                     
                     ) 
                   
                 
               
             
             = 
             
               
                 0.0316 
                  
                 π 
               
               ≤ 
               
                 π 
                 4 
               
             
           
         
       
     
         [0078]    where α i  is an included angle between the normal line of a reflecting surface of the i th  reflection mirror in the optical path and the +Z-axis, and n is the total number of reflecting times along the optical path, and n=9 in this preferred embodiment. 
         [0079]    The image sensor  14  used in this preferred embodiment is 1.58×35.02 mm, 2λ=35.05 mm, and tan 
         [0000]    
       
         
           
             
               
                 
                   tan 
                   
                     - 
                     1 
                   
                 
                  
                 
                   ( 
                   
                     λ 
                     
                       D 
                       o 
                     
                   
                   ) 
                 
               
               2 
             
             = 
             
               4.678 
                
               
                 
                   ( 
                   
                     deg 
                     . 
                   
                   ) 
                 
                 . 
               
             
           
         
       
     
         [0080]    The included angle θ between the optical axis of the pickup lens  15  and the image sensor  14  and an axial line parallel to the Z-axis equals to 1.13° in this preferred embodiment and satisfies the condition of: 
         [0000]    
       
         
           
             θ 
             = 
             
               
                 1.13 
                  
                 ° 
               
               ≤ 
               
                 
                   
                     tan 
                     
                       - 
                       1 
                     
                   
                    
                   
                     ( 
                     
                       λ 
                       
                         D 
                         o 
                       
                     
                     ) 
                   
                 
                 2 
               
             
           
         
       
     
         [0081]    In summation of the description above, the effect of the scanning module is achieved by the U-shape optical path image scanning method in accordance with the present invention, less reflection mirrors are used for performing the multiple reflections to increase the length of the optical path and the depth of field. In addition, the optical path is in a U-shape optical path and capable of reducing or eliminate the scattered lights produced by several times of the reflection, so as to stop the ghost image phenomenon. 
         [0082]    The scanning module of the invention can achieve another effect of adjusting the optical axis of the pickup lens and image sensor easily and coincide with the optical axis with the image beam L 2  during manufacture or assembly, so as to reduce the assembly difficulty and enhance the mass production rate. 
         [0083]    The scanning module of the invention is applicable for one light source or two (or more) light sources, and 2, 3, 4, 5 (or more) reflection mirrors to produce different depths of field. In addition, the position of the pickup lens can be adjusted to fit a pickup lens of a different focal length, so as to provide a broader scope of application. 
         [0084]    While the invention has been described by means of specific embodiments, numerous modifications and variations could be made thereto by those skilled in the art without departing from the scope and spirit of the invention set forth in the claims.