Abstract:
In this optical filter, each side of a substrate that is at most 0.3 mm in thickness is coated with a multilayer film. Both of the multilayer films are under compressive stress, and the optical filter satisfies the relation F≧−1.25t+1.525 (where F represents the ratio of the strength of the optical filter to the strength of the substrate (the strength of the optical filter with the substrate coated divided by the strength of the uncoated substrate) and t represents the thickness of the substrate (in mm)).

Description:
TECHNICAL FIELD 
       [0001]    The present invention relates to optical filters and imaging devices. More particularly, the present invention relates to an optical filter comprising a substrate of which the surface is coated with a multi-layer film, and to an imaging device incorporating such an optical filter. 
       BACKGROUND ART 
       [0002]    Conventionally, in digital appliances equipped with image input capabilities, such as camera-equipped mobile phones and smartphones (high-functionality mobile phones), there are commonly used, as image sensors for converting an optical image formed by an imaging lens into an electrical signal, silicon semiconductor devices (e.g., CCD (charge-coupled device) image sensors and CMOS (complementary metal-oxide semiconductor) image sensors). Silicon semiconductor devices are sensitive up to a near-infrared region; thus, when light is incident on them, they capture not only visible light but also near-infrared light as an image. This leads to problems such as pseudocolors in the taken image. This is coped with, in conventional digital appliances equipped with image input capabilities, by inserting an infrared-cut filter between the imaging lens and the image sensor. 
         [0003]    Various types of infrared-cut filers have conventionally been proposed. For example, Patent Document 1 identified below proposes, as an infrared-cut filter for use in cameras, one in which two infrared-absorptive glass substrates are bonded together with an infrared-cut layer laid in between. Such optical filters for use in cameras are required to be increasingly slim as cameras are given increasingly low profiles. However, absorptive glass cannot be made thinner than a certain thickness; to make it thinner requires a filter that relies on interference or the like rather than absorption. Inconveniently, a thin glass substrate is liable to break, warp, or otherwise degrade. 
         [0004]    As an optical filter less liable to warp, for example, Patent Document 2 identified below proposes one in which, on opposite sides of an extremely thin substrate, dielectric multi-layer films are respectively formed which have a symmetrical structure with respect to the substrate with a view to reducing the warp resulting from film stress. For other examples, Patent Document 3 identified below proposes an optical thin film in which the difference between the numbers of layers stacked in the multi-layer films on opposite sides is controlled to be equal to or smaller than a predetermined value so as to cancel out film stress with a view to reducing the warp, and Patent Document 4 identified below proposes a multi-layer film filter in which a multi-layer film deposited by multi-layer film sputtering has a stress in a range of ±100 MPa or less. 
       LIST OF CITATIONS 
     Patent Literature 
       [0000]    
       
         Patent Document 1: Japanese Patent Application Publication No. 2006-220872 
         Patent Document 2: Japanese Patent Application Publication No. H11-202126 
         Patent Document 3: Japanese Patent Application Publication No. H09-085874 
         Patent Document 4: WO2004/038061 
       
     
       SUMMARY OF THE INVENTION 
     Technical Problem 
       [0009]    However, Patent Documents 2 and 3 make no mention of stress on each surface. Thus, with the structures proposed there, even though stress can be canceled out and the warp can be reduced, the strength of the optical filter cannot be increased. In addition, with the optical filter proposed in Patent Document 2, due to the dielectric multi-layer films having a symmetrical structure with respect to the substrate, the optical properties obtained are extremely limited. On the other hand, with a multi-layer film with little stress like the one proposed in Patent Document 4, the substrate cannot be reinforced. 
         [0010]    Devised against the background discussed above, the present invention aims to provide an optical filter that achieves thinness combined with high strength, and to provide an imaging device incorporating such an optical filter. 
       Means for Solving the Problem 
       [0011]    To achieve the above aim, according to one aspect of the present invention, in an optical filter that comprises a substrate with a thickness of 0.3 mm or less coated on both sides with multi-layer films respectively, the multi-layer films on both sides of the substrate both have compression stress, and conditional formula (1) below is fulfilled. 
         [0000]        F≧− 1.25 t+ 1.525  (1)
       where   F represents the strength ratio of the optical filter with respect to the substrate (the ratio of the strength of the optical filter with a coated substrate to the strength of an uncoated substrate); and   t represents the thickness of the substrate (mm).       
 
         [0015]    According to another aspect of the present invention, an imaging device comprises: an optical filter as described above; an imaging lens disposed on the light-entrance side of the optical filter; and an image sensor that receives the light incident thereon through the imaging lens and the optical filter. 
       Advantageous Effects of the Invention 
       [0016]    According to the present invention, a thin substrate is coated on both sides respectively with multi-layer films having compression stress, and the strength ratio before and after the coating fulfills a predetermined condition. With this configuration, it is possible to produce an optical filter that achieves thinness combined with high strength. 
     
    
     
       BRIEF DESCRIPTION OF DRAWINGS 
         [0017]      FIG. 1  is a sectional view schematically showing an optical filter according to one embodiment of the present invention; 
           [0018]      FIG. 2  is a sectional view schematically showing an imaging device incorporating the optical filter shown in  FIG. 1 ; 
           [0019]      FIG. 3  is a diagram illustrating strength measurement on an optical filter; and 
           [0020]      FIG. 4  is a plot of the spectral transmission of samples E 1  and E 2 . 
       
    
    
     DESCRIPTION OF EMBODIMENTS 
       [0021]    Hereinafter, optical filters, imaging devices, etc. that embody the present invention will be described with reference to the accompanying drawings.  FIG. 1  schematically shows a sectional structure of an optical filter FR according to one embodiment of the present invention, the optical filter FR being composed of a substrate SU (e.g., a glass substrate) with a thickness of 0.3 mm or less that is coated on both sides with multi-layer films M 1  and M 2  respectively.  FIG. 2  schematically shows a sectional structure of an imaging device  10  incorporating the optical filter FR. 
         [0022]    The imaging device  10  has, inside a housing  10   a , an optical filter FR (e.g., an infrared-cut filter), an imaging lens  11 , and an image sensor  12 . The optical filter FR is supported on a side wall of the housing  10   a  via a support member  13 . A imaging device  10  like this can be applied to digital cameras, and also to an imaging part incorporated in mobile devices. 
         [0023]    The imaging lens  11  is disposed on the light-entrance side of the optical filter FR, and converges the incident light on the light-receiving surface of the image sensor  12 . The image sensor  12  is a photoelectric conversion device that receives the light (image light) incident through the imaging lens  11  and the optical filter FR, converts it into an electrical signal, and outputs the result to the outside (e.g., to a display device). Specifically, the image sensor  12  comprises a solid-state image sensor such as a CCD image sensor or CMOS image sensor. 
         [0024]    In the optical filter FR, the multi-layer films M 1  and M 2  on both sides of the substrate SU both has compression stress, and conditional formula (1) below is fulfilled. 
         [0000]        F≧− 1.25 t+ 1.525  (1)
       where   F represents the strength ratio of the optical filter with respect to the substrate (the ratio of the strength of the optical filter with a coated substrate to the strength of an uncoated substrate); and   t represents the thickness of the substrate (mm).       
 
         [0028]    Since a thin substrate is generally liable to bend, a multi-layer film for use in a mirror or the like tends to be given reduced stress. This results in low strength; in particular with a thickness of 0.3 mm or less, a substrate is prone to break and is difficult to handle. In an optical filter FR having a thin substrate SU with a thickness of 0.3 mm or less, one effective way to obtain so high strength as to fulfill conditional formula (1) is to coat the substrate SU on both sides purposely with multi-layer films M 1  and M 2  having compression stress so as to obtain well-balanced compression stress. Accordingly, with a structure where a substrate SU is coated on both sides with multi-layer films M 1  and M 2  having compression stress, it is possible to achieve thinness combined with high strength. 
         [0029]    As described above, coating a substrate SU on both sides with multi-layer films M 1  and M 2  having compression stress helps increases the strength of the optical filter FR. The relationship between the strength ratio F and the thickness t before and after the coating is defined by conditional formula (1). The thicker the substrate SU, the lower the strength ratio F; the thinner the substrate SU, the higher the strength ratio F. Thus, to fulfill conditional formula (1), it is necessary to improve the strength ratio F more the thinner the substrate SU. 
         [0030]    As will be understood from conditional formula (1), for example with t=0.3 mm, the optical filter FR can be given strength 1.15 times (−1.25×0.3+1.525=1.15) or more that of the uncoated substrate. With a 0.1 mm thick substrate with extremely low strength (with t=0.1 mm), the optical filter FR can be given strength 1.4 times (−1.25×0.1+1.525=1.4) or more that of the uncoated substrate. 
         [0031]    According to the above-described distinctive configuration, a thin substrate is coated on both sides with multi-layer films having compression stress, and the strength ratio before and after the coating fulfills a predetermined condition. It is thus possible to produce an optical filter that achieves thinness combined with high strength. Using a resulting thin filter as an infrared-cut filter in a camera helps make the camera low-profile and compact. To follow is a description of the conditions and other features for more effectively achieving thinness combined with high strength. 
         [0032]    It is preferable that the optical filter FR fulfill conditional formula (1a) below. 
         [0000]        F≧− 1.5 t+ 1.65  (1a)
 
         [0033]    Conditional formula (1a) defines, within the conditional range defined by conditional formula (1) above, a still preferable conditional range from the above-mentioned and other viewpoints. Thus, preferably, fulfilling conditional formula (1a) helps enhance the effects mentioned above. 
         [0034]    As will be understood from conditional formula (1a), for example with t=0.3 mm, the optical filter FR can be given strength 1.2 times (−1.5×0.3+1.65=1.2) or more that of the uncoated substrate. With a 0.1 mm thick substrate with extremely low strength (with t=0.1 mm), the optical filter FR can be given strength 1.5 times (−1.5×0.1+1.65=1.5) or more that of the uncoated substrate. 
         [0035]    Specific examples of the optical filter FR include infrared-cut filters. In infrared-cut filters, the multi-layer films M 1  and M 2  on both sides of the substrate SU are both given such an optical property as to transmit light in the visible region and reflect light in the infrared region. Thus, achieving thinness combined with high strength in them is effective in achieving slimness in digital appliances incorporating an imaging lens. For example, consider the fabrication of an infrared-cut filter that transmits light with wavelengths of 450 to 600 nm and reflect light with wavelengths of 700 nm or more. In that case, TiO 2  and SiO 2  as the components of the multi-layer films M 1  and M 2  are stacked in alternate layers each with an optical thickness corresponding to a quarter-wavelength (¼ the wavelength) of the infrared region (e.g., a wavelength of 900 nm). Here, for efficient transmission of light with wavelengths 450 to 600 nm, each layer is given a thickness that slightly deviates from the quarter-wavelength. This helps suppress the effect of interference. Examples of the film deposition process for the optical filter FR includes vacuum deposition, ion-assisted deposition, ion-plating, sputtering (such as reactive sputtering), and ion-beam sputtering. Preferably, both of the multi-layer films M 1  and M 2  on both sides of the substrate SU are formed by one of the just-enumerated processes. 
         [0036]    An optical filter, like the infrared-cut filter mentioned above, that is used in a digital appliance such as a camera incorporated in a mobile phone is so thin as to be liable to break or be otherwise damaged when subjected to impact. To avoid that, it is preferable that the multi-layer films M 1  and M 2  on both sides of the substrate SU both fulfill conditional formula (2) below. 
         [0000]      |σ× d|≧ 900  (2)
       where   σ represents the film stress (MPa/m); and   d represents the film thickness (μm).       
 
         [0040]    By providing, respectively on both sides of a substrate SU, multi-layer films M 1  and M 2  having compression stress such that the absolute value of the film stress σ multiplied by the film thickness d is equal to or greater than 900 Pa as expressed by conditional formula (2), it is possible to fabricate an optical filter FR that is less prone to break. For the multi-layer films M 1  and M 2  to fulfill conditional formula (2), it is preferable that the multi-layer films M 1  and M 2  on both sides of the substrate SU both have a thickness of 3.0 μm or more. However, if the multi-layer films M 1  and M 2  on both sides of the substrate SU both have a thickness of 9.0 μm or more, the multi-layer films M 1  and M 2  have so high compression stress as to cause the substrate SU to bend, leading to difficult handling. To avoid that, it is preferable that the multi-layer films M 1  and M 2  on both sides of the substrate SU both have a thickness less than 9.0 μm. 
         [0041]    For the multi-layer films M 1  and M 2  to fulfill conditional formula (2), it is preferable to adopt a film deposition process that tends to produce compression stress. Specifically, it is preferable to form the multi-layer films M 1  and M 2  by ion-assisted deposition, ion-plating, reactive sputtering, or ion-beam sputtering. 
         [0042]    It is still preferable that the multi-layer films M 1  and M 2  on both sides of the substrate SU both fulfill conditional formula (2a) below. 
         [0000]      |σ× d|≧ 1500  (2a)
 
         [0043]    Conditional formula (2a) below defines, within the conditional range defined by conditional formula (2) above, a still preferable conditional range from the above-mentioned and other viewpoints. Thus, preferably, fulfilling conditional formula (2a) helps enhance the effects mentioned above. 
         [0044]    By providing, respectively on both sides of a substrate, multi-layer films M 1  and M 2  having compression stress such that the absolute value of the film stress σ multiplied by the film thickness d is equal to or greater than 1500 Pa as expressed by conditional formula (2a), it is possible to fabricate an optical filter FR that is still less prone to break. For the multi-layer films M 1  and M 2  to fulfill conditional formula (2a), it is preferable that the multi-layer films M 1  and M 2  on both sides of the substrate SU both have a thickness of 4.0 μm or more but less than 9 μm. Particularly preferred conditional ranges include 5.0 μm or more but less than 9 μm, and 5.5 μm or more but less than 9 μm. 
         [0045]    For the multi-layer films M 1  and M 2  to fulfill conditional formula (2a), it is preferable to adopt a film deposition process that tends to produce compression stress. Specifically, it is preferable to form the multi-layer films M 1  and M 2  by ion-assisted deposition, ion-plating, reactive sputtering, or ion-beam sputtering. 
         [0046]    It is preferable that the substrate SU be formed of glass. Plastic substrates are unsuitable for deposition of a dielectric multi-layer film on them. Accordingly, as a reliable transparent substrate that provides certain strength as an optical filter FR and that in addition is free from exfoliation, a glass substrate is preferable to a plastic substrate. 
         [0047]    It is preferable that the multi-layer films M 1  and M 2  on both sides of the substrate SU be both composed of at least two deposition materials and that at least one of them be SiO 2  or a mixture containing SiO 2 . It is preferable that the multi-layer films M 1  and M 2  on both sides of the substrate SU be both composed of at least two deposition materials and that at least one of them be TiO 2 , Nb 2 O 5 , Ta 2 O 5 , ZrO 2 , or a mixture containing any of those. A low-refractive-index material such as SiO 2  and a high-refractive-index material such as TiO 2  are preferred in producing compression stress, are easy to manufacture, and are preferred also in terms of providing refractive indices required to achieve desired performance. 
       EXAMPLES 
       [0048]    Hereinafter, different configurations and other features of optical filters according to the present invention will be described more specifically by way of practical and comparative examples. 
         [0049]    As shown in Table 1, differently configured samples, namely Samples A 1  to K 1  and A 2  to K 2 , of optical filters FR were fabricated by coating a substrate SU with a thickness t of 0.1 mm or 0.3 mm on both sides (sides A and B) with multi-layer films M 1  and M 2 . The multi-layer films M 1  and M 2  were both a dielectric multi-layer film having a TiO 2 /SiO 2  film structure. Specifically, the multi-layer films M 1  and M 2  were both composed of an alternate stack of high-refractive-index layers of TiO 2  and low-refractive-index layers of SiO 2 . TiO 2  had a refractive index of 2.385 at a wavelength of 550 nm, and SiO 2  had a refractive index of 1.455 at a wavelength of 550 nm. For convenience’ sake, TiO 2  is occasionally (as in Table 1, etc.) designated as TiO2, and SiO 2  as SiO2. 
         [0050]    As to the film deposition process for the multi-layer films M 1  and M 2 , in Table 1, IAD (Samples A 1  to F 1  and A 2  to F 2 ) is short for ion-assisted deposition, and VD (Samples G 1  to K 1  and G 2  to K 2 ) is short for vacuum deposition (with no ion-assist). Also listed in Table 1 are the film thickness d (μm) and the film stress σ (MPa/m) of the multi-layer films M 1  and M 2 , and the value corresponding to conditional formula (2) or (2a), specifically |σ×d| (Pa). For film stress σ, a minus sign (−) indicates the compressing direction, and a plus sign (+) the tensile direction. 
         [0051]    The film stress σ listed in Table 1 was measured in the following manner: a film was deposited on a strip-form glass substrate with t=0.3 mm; then the radius of curvature R of the sag was measured; then the film stress σ was calculated according to formula (ST) below. Here, as the strip-form glass substrate, a sheet of transparent glass was used; Es was assumed to be 6.6×10 N/m 2 , and vs as 2.35×10 −1 . 
         [0000]      σ=( Es×ts   2 )/[6(1− vs ) R×tf]   (ST)
       where   Es represents the Young&#39;s modulus of the strip-form glass substrate (N/m 2 );   vs represents the Poisson ratio of the strip-form glass substrate;   ts represents the thickness of the substrate (m);   R represents the radius of curvature (m); and   tf represents the film thickness (m).       
 
         [0058]    Table 2 lists, for each of Samples A 1  to K 1  and A 2  to K 2  of optical filters FR, the strength (unit: N), the strength ratio F, and an evaluation. The strength ratio F is the value corresponding to conditional formula (1) or (1a). Different indications of evaluation are as follows: with t=0.1 mm, F&lt;1.4 was evaluated as “Poor”, 1.4≦F&lt;1.5 as “Good”, and 1.5≦F as “Excellent”; with t=0.3 mm, F&lt;1.15 was evaluated as “Poor”, 1.15≦F&lt;1.2 as “Good”, and 1.2≦F as “Excellent”. 
         [0059]    As the strength of Samples A 1  to K 1  and A 2  to K 2 , the breaking strength of the optical filter was measured on a testing machine as shown in  FIG. 3 . The breaking strength was measured on a digital force gauge, model ZP-200N, manufactured by Imada Co., Ltd. The testing machine was composed of a gauge head  1 , measurement beds  2 , etc. The measurement beds  2  were placed across an interval L of 4 mm from each other, and each of Samples A 1  to K 1  and A 2  to K 2  rested on them with an overlap of 1 mm at either end. The gauge head  1  had a point with a radius of curvature of R0.57 mm, and was brought down at a speed of 9 mm/min in the direction indicated by arrow P. Samples A 1  to K 1  and A 2  to K 2  each had a size of 6 mm by 6 mm, and all except Samples A 1  and A 2  had the multi-layer films M 1  and M 2  deposited on both sides respectively. The gauge head  1  was pressed against each of Samples A 1  to K 1  and A 2  to K 2  in the direction indicated by arrow P, and the value measured when the latter broke was taken as its strength. 
         [0060]    As shown in Tables 1 and 2, Samples D 1  to F 1  and D 2  to F 2  are practical examples, and Samples A 1  to C 1 , G 1  to K 1 , A 2  to C 2 , and G 2  to K 2  are comparative examples. Now, with Samples E 1  and E 2  taken up as examples, their film structure, evaluation, etc. will be described in more detail. Substrates SU with thicknesses t of 0.1 mm and 0.3 mm respectively were each coated on both sides (sides A and B) with multi-layer films M 1  and M 2  as shown in Tables 3 and 4 on a vacuum film deposition machine to produce Samples E 1  and E 2  of optical filters FR. For both sides A and B, the multi-layer films M 1  and M 2  contained TiO 2  as a high-refractive-index material and SiO 2  as a low-refractive index material. The films were deposited by ion-assisted deposition, which tends to produce compression stress. The multi-layer film M 1  on side A had a film thickness d of 4.3760 μm, and had a film stress σ of −366.6 MPa/m as compression stress. Accordingly, the value of |film stress σ×film thickness d| was 1604 Pa. On the other hand, the multi-layer film M 2  on side B had a film thickness d of 4.2412 μm, and had a film stress σ of −384.8 MPa/m as compression stress. Accordingly, the value of |film stress σ×film thickness d| was 1632 Pa.  FIG. 4  shows a plot of the spectral transmission of Samples E 1  and E 2 . 
         [0000]    
       
         
               
               
               
               
               
               
             
               
               
               
               
               
               
               
             
               
               
             
               
               
               
               
               
               
               
             
               
               
             
               
               
               
               
               
               
               
             
           
               
                 TABLE 1 
               
             
             
               
                   
               
               
                   
                   
                   
                 Film 
                   
                   
               
               
                   
                   
                   
                 Thick- 
               
               
                 Sample 
                   
                 Deposi- 
                 ness 
                 Film 
               
             
          
           
               
                 t = 
                 t = 
                 Film 
                 tion 
                 d 
                 Stress σ 
                 |σ × d| 
               
               
                 0.1 mm 
                 0.3 mm 
                 Structure 
                 Process 
                 (μm) 
                 (MPa/m) 
                 (Pa) 
               
               
                   
               
             
          
           
               
                   
                 Multi-Layer Film M1 on Side A 
               
             
          
           
               
                 A1 
                 A2 
                 (Substrate 
                 — 
                 0 
                 0 
                 0 
               
               
                   
                   
                 Only) 
               
               
                 B1 
                 B2 
                 TiO2/SiO2 
                 IAD 
                 1.1588 
                 −360.1 
                 417 
               
               
                 C1 
                 C2 
                 TiO2/SiO2 
                 IAD 
                 2.3182 
                 −338.4 
                 784 
               
               
                 D1 
                 D2 
                 TiO2/SiO2 
                 IAD 
                 3.2291 
                 −301.1 
                 972 
               
               
                 E1 
                 E2 
                 TiO2/SiO2 
                 IAD 
                 4.3760 
                 −366.6 
                 1604 
               
               
                 F1 
                 F2 
                 TiO2/SiO2 
                 IAD 
                 6.1110 
                 −320.9 
                 1961 
               
               
                 G1 
                 G2 
                 TiO2/SiO2 
                 VD 
                 1.1619 
                 16.8 
                 20 
               
               
                 H1 
                 H2 
                 TiO2/SiO2 
                 VD 
                 2.3261 
                 9.6 
                 22 
               
               
                 I1 
                 I2 
                 TiO2/SiO2 
                 VD 
                 3.2834 
                 12.3 
                 40 
               
               
                 J1 
                 J2 
                 TiO2/SiO2 
                 VD 
                 4.3646 
                 20.1 
                 88 
               
               
                 K1 
                 K2 
                 TiO2/SiO2 
                 VD 
                 6.1553 
                 12.7 
                 78 
               
             
          
           
               
                   
                 Multi-Layer Film M2 on Side B 
               
             
          
           
               
                 A1 
                 A2 
                 (Substrate 
                 — 
                 0 
                 0 
                 0 
               
               
                   
                   
                 Only) 
               
               
                 B1 
                 B2 
                 TiO2/SiO2 
                 IAD 
                 1.1505 
                 −342.6 
                 394 
               
               
                 C1 
                 C2 
                 TiO2/SiO2 
                 IAD 
                 2.1050 
                 −338.5 
                 713 
               
               
                 D1 
                 D2 
                 TiO2/SiO2 
                 IAD 
                 3.2435 
                 −342.0 
                 1109 
               
               
                 E1 
                 E2 
                 TiO2/SiO2 
                 IAD 
                 4.2412 
                 −384.8 
                 1632 
               
               
                 F1 
                 F2 
                 TiO2/SiO2 
                 IAD 
                 6.3291 
                 −329.5 
                 2086 
               
               
                 G1 
                 G2 
                 TiO2/SiO2 
                 VD 
                 1.1623 
                 13.2 
                 15 
               
               
                 H1 
                 H2 
                 TiO2/SiO2 
                 VD 
                 2.1667 
                 8.4 
                 18 
               
               
                 I1 
                 I2 
                 TiO2/SiO2 
                 VD 
                 3.3013 
                 10.5 
                 35 
               
               
                 J1 
                 J2 
                 TiO2/SiO2 
                 VD 
                 4.2764 
                 18.8 
                 81 
               
               
                 K1 
                 K2 
                 TiO2/SiO2 
                 VD 
                 6.4120 
                 11.5 
                 73 
               
               
                   
               
             
          
         
       
     
         [0000]    
       
         
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 2 
               
               
                   
               
               
                 Sample 
                 Strength 
                 Strength 
                   
                 Sample 
                 Strength 
                 Strength 
                   
               
               
                 t = 0.1 mm 
                 (N) 
                 Ratio F 
                 Evaluation 
                 t = 0.3 mm 
                 (N) 
                 Ratio F 
                 Evaluation 
               
               
                   
               
             
             
               
                 A1 
                 3.08 
                 1.00 
                 Poor 
                 A2 
                 27.8 
                 1.00 
                 Poor 
               
               
                 B1 
                 3.90 
                 1.27 
                 Poor 
                 B2 
                 27.9 
                 1.00 
                 Poor 
               
               
                 C1 
                 4.07 
                 1.32 
                 Poor 
                 C2 
                 29.8 
                 1.07 
                 Poor 
               
               
                 D1 
                 4.45 
                 1.44 
                 Good 
                 D2 
                 32.1 
                 1.15 
                 Good 
               
               
                 E1 
                 5.22 
                 1.69 
                 Excellent 
                 E2 
                 33.8 
                 1.21 
                 Excellent 
               
               
                 F1 
                 5.36 
                 1.74 
                 Excellent 
                 F2 
                 35.4 
                 1.27 
                 Excellent 
               
               
                 G1 
                 2.94 
                 0.95 
                 Poor 
                 G2 
                 28.2 
                 1.01 
                 Poor 
               
               
                 H1 
                 2.97 
                 0.96 
                 Poor 
                 H2 
                 27.2 
                 0.98 
                 Poor 
               
               
                 I1 
                 3.03 
                 0.98 
                 Poor 
                 I2 
                 27.9 
                 1.00 
                 Poor 
               
               
                 J1 
                 2.96 
                 0.96 
                 Poor 
                 J2 
                 28.8 
                 1.03 
                 Poor 
               
               
                 K1 
                 3.10 
                 1.01 
                 Poor 
                 K2 
                 28.9 
                 1.04 
                 Poor 
               
               
                   
               
             
          
         
       
     
         [0000]    
       
         
               
             
               
               
               
             
               
               
               
             
           
               
                 TABLE 3 
               
             
             
               
                   
               
               
                 Multi-Layer Film M1 on Side A 
               
             
          
           
               
                 Number of 
                   
                 Film Thickness 
               
               
                 Layers 
                 Material 
                 (nm) 
               
               
                   
               
             
          
           
               
                 1 
                 TiO2 
                 10.41 
               
               
                 2 
                 SiO2 
                 35.68 
               
               
                 3 
                 TiO2 
                 103.92 
               
               
                 4 
                 SiO2 
                 156.28 
               
               
                 5 
                 TiO2 
                 85.38 
               
               
                 6 
                 SiO2 
                 145.31 
               
               
                 7 
                 TiO2 
                 81.39 
               
               
                 8 
                 SiO2 
                 142.42 
               
               
                 9 
                 TiO2 
                 79.78 
               
               
                 10 
                 SiO2 
                 141.23 
               
               
                 11 
                 TiO2 
                 78.94 
               
               
                 12 
                 SiO2 
                 140.67 
               
               
                 13 
                 TiO2 
                 78.45 
               
               
                 14 
                 SiO2 
                 140.37 
               
               
                 15 
                 TiO2 
                 78.16 
               
               
                 16 
                 SiO2 
                 140.20 
               
               
                 17 
                 TiO2 
                 77.99 
               
               
                 18 
                 SiO2 
                 140.07 
               
               
                 19 
                 TiO2 
                 77.92 
               
               
                 20 
                 SiO2 
                 139.96 
               
               
                 21 
                 TiO2 
                 77.95 
               
               
                 22 
                 SiO2 
                 139.87 
               
               
                 23 
                 TiO2 
                 78.07 
               
               
                 24 
                 SiO2 
                 139.80 
               
               
                 25 
                 TiO2 
                 78.29 
               
               
                 26 
                 SiO2 
                 139.78 
               
               
                 27 
                 TiO2 
                 78.69 
               
               
                 28 
                 SiO2 
                 140.03 
               
               
                 29 
                 TiO2 
                 79.67 
               
               
                 30 
                 SiO2 
                 141.45 
               
               
                 31 
                 TiO2 
                 83.93 
               
               
                 32 
                 SiO2 
                 154.74 
               
               
                 33 
                 TiO2 
                 22.54 
               
               
                 34 
                 SiO2 
                 9.55 
               
               
                 35 
                 TiO2 
                 130.53 
               
               
                 36 
                 SiO2 
                 10.42 
               
               
                 37 
                 TiO2 
                 17.13 
               
               
                 38 
                 SiO2 
                 151.39 
               
               
                 39 
                 TiO2 
                 86.77 
               
               
                 40 
                 SiO2 
                 144.27 
               
               
                 41 
                 TiO2 
                 86.17 
               
               
                 42 
                 SiO2 
                 147.66 
               
               
                 43 
                 TiO2 
                 25.10 
               
               
                 44 
                 SiO2 
                 5.67 
               
               
                 45 
                 TiO2 
                 53.39 
               
               
                 46 
                 SiO2 
                 78.63 
               
               
                   
               
             
          
         
       
     
         [0000]    
       
         
               
             
               
               
               
             
               
               
               
             
           
               
                 TABLE 4 
               
             
             
               
                   
               
               
                 Multi-Layer Film M2 on Side B 
               
             
          
           
               
                 Number of 
                   
                 Film Thickness 
               
               
                 Layers 
                 Material 
                 (nm) 
               
               
                   
               
             
          
           
               
                 1 
                 TiO2 
                 10.46 
               
               
                 2 
                 SiO2 
                 36.00 
               
               
                 3 
                 TiO2 
                 104.57 
               
               
                 4 
                 SiO2 
                 157.87 
               
               
                 5 
                 TiO2 
                 87.41 
               
               
                 6 
                 SiO2 
                 147.98 
               
               
                 7 
                 TiO2 
                 84.70 
               
               
                 8 
                 SiO2 
                 147.22 
               
               
                 9 
                 TiO2 
                 85.68 
               
               
                 10 
                 SiO2 
                 150.91 
               
               
                 11 
                 TiO2 
                 91.65 
               
               
                 12 
                 SiO2 
                 164.54 
               
               
                 13 
                 TiO2 
                 106.88 
               
               
                 14 
                 SiO2 
                 180.20 
               
               
                 15 
                 TiO2 
                 111.96 
               
               
                 16 
                 SiO2 
                 180.70 
               
               
                 17 
                 TiO2 
                 108.33 
               
               
                 18 
                 SiO2 
                 171.86 
               
               
                 19 
                 TiO2 
                 103.59 
               
               
                 20 
                 SiO2 
                 173.64 
               
               
                 21 
                 TiO2 
                 106.91 
               
               
                 22 
                 SiO2 
                 172.72 
               
               
                 23 
                 TiO2 
                 103.89 
               
               
                 24 
                 SiO2 
                 174.16 
               
               
                 25 
                 TiO2 
                 109.86 
               
               
                 26 
                 SiO2 
                 181.79 
               
               
                 27 
                 TiO2 
                 112.25 
               
               
                 28 
                 SiO2 
                 180.33 
               
               
                 29 
                 TiO2 
                 106.49 
               
               
                 30 
                 SiO2 
                 165.16 
               
               
                 31 
                 TiO2 
                 95.22 
               
               
                 32 
                 SiO2 
                 159.12 
               
               
                 33 
                 TiO2 
                 90.87 
               
               
                 34 
                 SiO2 
                 76.31 
               
               
                   
               
             
          
         
       
     
       LIST OF REFERENCE SIGNS 
       [0000]    
       
         
           
             FR optical filter 
             M 1 , M 2  multi-layer film 
             SU substrate 
             imaging device 
               11  imaging lens 
               12  image sensor 
             A 1  to K 1 , A 2  to K 2  sample