WO2021261319A1 - ロッドレンズアレイ、光学機器、イメージセンサ、プリンタ、検査装置、屈折率分布型ロッドレンズ用母材ガラス組成物、及び屈折率分布型ロッドレンズの製造方法 - Google Patents
ロッドレンズアレイ、光学機器、イメージセンサ、プリンタ、検査装置、屈折率分布型ロッドレンズ用母材ガラス組成物、及び屈折率分布型ロッドレンズの製造方法 Download PDFInfo
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- WO2021261319A1 WO2021261319A1 PCT/JP2021/022591 JP2021022591W WO2021261319A1 WO 2021261319 A1 WO2021261319 A1 WO 2021261319A1 JP 2021022591 W JP2021022591 W JP 2021022591W WO 2021261319 A1 WO2021261319 A1 WO 2021261319A1
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- rod lens
- refractive index
- index distribution
- distribution type
- lens array
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- C—CHEMISTRY; METALLURGY
- C03—GLASS; MINERAL OR SLAG WOOL
- C03C—CHEMICAL COMPOSITION OF GLASSES, GLAZES OR VITREOUS ENAMELS; SURFACE TREATMENT OF GLASS; SURFACE TREATMENT OF FIBRES OR FILAMENTS MADE FROM GLASS, MINERALS OR SLAGS; JOINING GLASS TO GLASS OR OTHER MATERIALS
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- C03C21/002—Treatment of glass, not in the form of fibres or filaments, by diffusing ions or metals in the surface in liquid phase, e.g. molten salts, solutions to perform ion-exchange between alkali ions
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- C03—GLASS; MINERAL OR SLAG WOOL
- C03C—CHEMICAL COMPOSITION OF GLASSES, GLAZES OR VITREOUS ENAMELS; SURFACE TREATMENT OF GLASS; SURFACE TREATMENT OF FIBRES OR FILAMENTS MADE FROM GLASS, MINERALS OR SLAGS; JOINING GLASS TO GLASS OR OTHER MATERIALS
- C03C3/00—Glass compositions
- C03C3/04—Glass compositions containing silica
- C03C3/076—Glass compositions containing silica with 40% to 90% silica, by weight
- C03C3/078—Glass compositions containing silica with 40% to 90% silica, by weight containing an oxide of a divalent metal, e.g. an oxide of zinc
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- G02B13/26—Optical objectives specially designed for the purposes specified below for reproducing or copying at short object distances for reproducing with unit magnification
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- H04N1/03—Details of scanning heads ; Means for illuminating the original for picture information pick-up with photodetectors arranged in a substantially linear array
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Definitions
- the present invention relates to a rod lens array, an optical instrument, an image sensor, a printer, an inspection device, a base glass composition for a refractive index distribution type rod lens, and a method for manufacturing a refractive index distribution type rod lens.
- Patent Document 1 describes a surface defect device including a light source, an irradiation means, a light collecting means, and an observation means.
- the observation means includes an image pickup lens and an image pickup element such as a CCD image sensor or a CMOS image sensor.
- Patent Document 2 describes an inspection device suitable for visual inspection of a photoconductor drum of an electrophotographic copying machine or a printer.
- This inspection device includes a camera device for photographing a photoconductor drum with a plurality of one-dimensional CCD cameras arranged in a row.
- a close contact image sensor is also known as an image pickup sensor.
- the CIS is equipped with a rod lens array.
- a refractive index distribution type rod lens is usually used for the rod lens array.
- Patent Documents 3 to 5 describe a refractive index distribution type rod lens and a rod lens array in which a plurality of refractive index distribution type rod lenses are arranged.
- the refractive index distribution type rod lens is a rod-shaped (rod-shaped) lens having a refractive index distribution in which the refractive index is continuously decreased from the center to the outer periphery.
- the difference ⁇ n between the refractive index on the peripheral surface of the lens and the refractive index on the central axis is 0.003 or more.
- the opening angle (2 ⁇ ) becomes smaller than about 10 °, which is not desirable.
- Patent Document 3 suggests that an opening angle ( ⁇ ) of less than 5 ° is not desirable.
- the aperture angle of the refractive index distribution type rod lens according to the embodiment in Patent Document 4 is about 10.1 to 12.9 °.
- the aperture angle of the refractive index distribution type rod lens according to the embodiment in Patent Document 5 is 10.1 to 12.0 °.
- Patent Documents 1 and 2 do not describe the use of a refractive index distribution type rod lens.
- the refractive index distribution type rod lenses described in Patent Documents 3 to 5 have a large aperture angle. This cannot be said to be advantageous from the viewpoint of realizing a large depth of field in the refractive index distribution type rod lens, and it is considered that the depth of field of the refractive index distribution type rod lens described in Patent Documents 3 to 5 is small. Be done.
- the present invention provides a rod lens array having a large depth of field.
- the present invention also provides an optical instrument, an image sensor, a printer, and an inspection device provided with such a rod lens array.
- the present invention provides a base glass composition for a refractive index distributed rod lens, which is advantageous for increasing the depth of field of the rod lens array.
- the present invention also provides an advantageous method for manufacturing a refractive index distributed rod lens having a large depth of field.
- the present invention A rod lens array that forms an upright 1x image. It has multiple refractive index distributed rod lenses arranged so that their optical axes are parallel to each other. Each of the plurality of refractive index distribution type rod lenses has a refractive index distribution in the radial direction.
- the radius of the refractive index distribution type rod lens is expressed as r 0
- the central refractive index which is the central refractive index of the refractive index distribution type rod lens is expressed as n 0, and the refractive index distribution constant of the refractive index distribution type rod lens.
- n (r) n 0 ⁇ ⁇ 1- (A / 2) ⁇ r 2 ⁇
- the opening angle ⁇ represented by sin -1 (n 0 ⁇ ⁇ A ⁇ r 0 ) is 3 to 6 °.
- the imaging distance of the rod lens array is 45 to 75 mm.
- the value of the modulation transfer function (MTF) at a spatial frequency of 6 lines / mm is 30% or more, and the depth of field is 1.5 to 3.0 mm.
- a rod lens array is provided.
- the present invention Provided is an optical instrument equipped with the above rod lens array.
- a line-shaped lighting device that illuminates an object in a line-like manner, A line-shaped photosensor arranged so that light reflected from the object passes through the rod lens array and is collected. Provides an image sensor.
- the present invention provides a printer provided with a write head having the rod lens array described above.
- the present invention A transport device for transporting goods and A lighting device for illuminating the article and Image sensor and With a controller,
- the image sensor comprises the rod lens array described above for condensing light reflected from the article.
- the image information of the article transported by the transport device is acquired and transmitted to the controller.
- the controller identifies defects in the article based on the image information and determines the pass / fail of the article. Provide inspection equipment.
- the present invention Shown in mol%, 40% ⁇ SiO 2 ⁇ 65% 0% ⁇ TIO 2 ⁇ 10% 0.1% ⁇ MgO ⁇ 22% 0.15% ⁇ ZnO ⁇ 15% 0.5% ⁇ Li 2 O ⁇ 4% 2% ⁇ Na 2 O ⁇ 20% 0% ⁇ B 2 O 3 ⁇ 20% 0% ⁇ Al 2 O 3 ⁇ 10% 0% ⁇ K 2 O ⁇ 3% 0% ⁇ Cs 2 O ⁇ 3% 0% ⁇ Y 2 O 3 ⁇ 5% 0% ⁇ ZrO 2 ⁇ 2% 0% ⁇ Nb 2 O 5 ⁇ 5% 0% ⁇ In 2 O 3 ⁇ 5% 0% ⁇ La 2 O 3 ⁇ 5% Including 0% ⁇ Ta 2 O 5 ⁇ 5%, At least two selected from the group consisting of CaO, SrO, and BaO are contained in an amount of 0.1 mol% or more and 15 mol% or less, respectively.
- the present invention A method for manufacturing a refraction distribution type rod lens.
- Forming a glass wire composed of a glass composition containing an oxide of the first alkali metal element The glass wire is immersed in a molten salt containing a second alkali metal element different from the first alkali metal element, and the first alkali metal element in the glass wire and the second alkali in the molten salt are immersed.
- a refractive index distribution is formed on the glass wire.
- the glass composition is expressed in mol%.
- the glass composition contains at least two selected from the group consisting of CaO, SrO, and BaO in an amount of 0.1 mol% or more and 15 mol% or less, respectively.
- the glass composition is expressed in mol%. 2% ⁇ MgO + ZnO, 0.07 ⁇ ZnO / (MgO + ZnO) ⁇ 0.93, The condition of 2.5% ⁇ Li 2 O + Na 2 O ⁇ 24% and 0% ⁇ Y 2 O 3 + ZrO 2 + Nb 2 O 5 + In 2 O 3 + La 2 O 3 + Ta 2 O 5 ⁇ 11% is satisfied. Provide a method.
- the above rod lens array has a large depth of field. Further, the above-mentioned base glass composition for a refractive index distribution type rod lens is advantageous for increasing the depth of field of the rod lens array.
- FIG. 1 is a diagram illustrating a method for determining the depth of field of an example of a refractive index distribution type rod lens according to the present invention.
- FIG. 2 is a diagram showing an aperture angle of an example of a refractive index distribution type rod lens according to the present invention.
- FIG. 3A is a diagram showing an ion exchange process in an example of the method for manufacturing a refractive index distribution type rod lens according to the present invention.
- FIG. 3B is a graph conceptually showing the refractive index distribution in the refractive index distribution type rod lens.
- FIG. 4 is a perspective view showing an example of a rod lens array according to the present invention.
- FIG. 5 is a diagram schematically showing a field of view and a light amount distribution of a refractive index distribution type rod lens.
- FIG. 6 is a diagram schematically showing the light amount distribution of the rod lens array.
- FIG. 7A is a diagram showing a reference line in a rod lens array in which refractive index distribution type rod lenses are arranged in a row.
- FIG. 7B is a diagram showing a reference line in a rod lens array in which refractive index distribution type rod lenses are arranged in a row.
- FIG. 8A is a diagram showing a reference line in a rod lens array in which refractive index distribution type rod lenses are arranged in two rows.
- FIG. 8B is a diagram showing a reference line in a rod lens array in which refractive index distribution type rod lenses are arranged in two rows.
- FIG. 9A is a diagram showing a reference line in a rod lens array in which refractive index distribution type rod lenses are arranged in three rows.
- FIG. 9B is a diagram showing a reference line in a rod lens array in which refractive index distribution type rod lenses are arranged in three rows.
- FIG. 10 is a cross-sectional view showing an example of an optical device provided with a rod lens according to the present invention.
- FIG. 11 is a cross-sectional view showing another example of the optical device provided with the rod lens according to the present invention.
- FIG. 12 is a cross-sectional view showing still another example of the optical device provided with the rod lens according to the present invention.
- FIG. 13 is a cross-sectional view showing still another example of the optical device provided with the rod lens according to the present invention.
- FIG. 14 is a perspective view showing still another example of the optical device provided with the rod lens array according to the present invention.
- FIG. 15 is a graph showing the relationship between the MTF value and the working distance of the refractive index distribution type rod lens according to Example 2, Comparative Example 3, and Reference Example 1.
- FIG. 16A is a diagram schematically showing an optical system for calculating light intensity unevenness.
- FIG. 16B is a diagram schematically showing an optical system for calculating light intensity unevenness.
- FIG. 16A is a diagram schematically showing an optical system for calculating light intensity unevenness.
- FIG. 17 is a graph showing the light amount distribution of the rod lens array according to the first embodiment.
- FIG. 18 is a graph showing the light amount distribution of the rod lens array according to the second embodiment.
- FIG. 19 is a graph showing the light amount distribution of the rod lens array according to the third embodiment.
- the image data collected in the visual inspection of the subject must have a resolution that can identify the defect of the subject. If a camera equipped with a one-dimensional CCD sensor is used to obtain high-resolution image data, the effective width that can be captured by one camera becomes small. Therefore, it may be difficult to capture the entire subject with one camera. For example, when the pixel size corresponding to the resolution required for the image data is 90 ⁇ m, the width of the region that can be imaged by the camera equipped with the one-dimensional CCD sensor of 4096 pixels is about 370 mm. In this case, in order to inspect the entire subject having a width of 1200 mm, it is necessary to arrange four camera systems equipped with a one-dimensional CCD sensor and a camera lens in the width direction.
- the CIS includes a plurality of one-dimensional light receiving elements arranged on a substrate and a rod lens array.
- the rod lens array forms an upright equal magnification image.
- the rod lens array is, for example, an array of a plurality of refractive index distribution type rod lenses.
- the refractive index distribution type rod lens is a substantially cylindrical lens having a refractive index distribution in the radial direction thereof and changing the refractive index from the central portion to the peripheral portion in the radial direction of the refractive index distribution type rod lens.
- CIS equipped with a rod lens array can reduce the distance between the image sensor and the object to be photographed by about 1/10 compared to a conventional camera system equipped with a CCD sensor and a lens, and the device is compact. It is advantageous in terms of conversion.
- the depth of field (DOF) which is a characteristic value indicating an allowable range of the distance between the object to be photographed and the lens, is small. This causes a problem that when the thickness of the subject varies, a focused portion and an out-of-focus portion occur in the subject. For this reason, the image of the out-of-focus portion is not clear, and there is a possibility that defects may be overlooked and defects may be misidentified.
- the aperture angle of the refractive index distribution type rod lens described in Patent Documents 3 to 5 is large, which cannot be said to be advantageous from the viewpoint of increasing the DOF of the refractive index distribution type rod lens. Therefore, the present inventors have drastically reviewed the conditions of the glass composition used for manufacturing the refractive index distribution type rod lens in order to realize the DOF in a desired range in the refractive index distribution type rod lens. As a result of a great deal of trial and error, the present inventors have finally found a refractive index distribution type rod lens capable of achieving a DOF in a desired range.
- the refractive index distribution type rod lens according to the present invention can be used not only in the technical field of visual inspection of a subject but also in the technical field of image formation such as an image scanner, a copying machine, a facsimile, and a printer. ..
- the refractive index distribution type rod lens 1b has an aperture angle ⁇ of 3 to 6 °.
- the radius of the refractive index distribution type rod lens 1b is expressed as r 0.
- the central refractive index which is the central refractive index of the refractive index distribution type rod lens 1b, is expressed as n 0.
- the refractive index distribution constant of the refractive index distribution type rod lens 1b is expressed as ⁇ A.
- the opening angle ⁇ is represented by sin -1 (n 0 ⁇ ⁇ A ⁇ r 0 ).
- the imaging distance (TC) of the erect image is 45 to 75 mm.
- the refractive index distribution type rod lens 1b has a depth of field (DOF) of 1.5 to 3.0 mm.
- DOF of the refractive index distribution type rod lens 1b is determined by subtracting the minimum value from the maximum value of the working distance.
- the value of the modulation transfer function (MTF) at a spatial frequency of 6 lines / mm is 30% or more.
- the rod lens array 10a As shown in FIG. 1, in the DOF of the refractive index distribution type rod lens 1b, for example, the rod lens array 10a, the line pattern 3, and the light receiving element 2 are arranged at predetermined intervals in the optical axis direction, and the rod lens array 10a and the DOF are arranged. It can be determined by obtaining the value of MTF while changing the distance from the line pattern 3.
- the rod lens array 10a is configured by arranging a plurality of refractive index distribution type rod lenses 1b in a direction perpendicular to the optical axis.
- the line pattern 3 has a black and white line pair corresponding to a spatial frequency of 6 lines / mm.
- the light receiving element 2 is, for example, a CCD sensor.
- the light emitted from the halogen lamp is passed through the color filter and the light diffusing plate, and then the line pattern 3 is irradiated with the light.
- the color filter may, for example, transmit light in the wavelength range of 500 to 600 nm, or may mainly transmit light having a wavelength of 530 nm.
- the value of MTF is applied to the light receiving element 2 by the rod lens array 10a with respect to the image (input image) of the line pattern 3 having a predetermined spatial frequency consisting of a bright part and a dark part before being incident on the rod lens array 10a. It can be determined as the recall rate of the image (output image) obtained by forming an image.
- the distance (distance between the object point and the imaging point) D max between the line pattern 3 that maximizes the MTF value and the light receiving element 2 is determined.
- D max an upright 1x image is obtained by the rod lens array 10a.
- the line pattern 3 is moved in the positive direction ( ⁇ L> 0) and the negative direction ( ⁇ L ⁇ 0) of the Z axis parallel to the optical axis.
- Find the MTF value at each position Thereby, by setting an acceptable range of a predetermined MTF value, the maximum value and the minimum value of the working distance can be obtained.
- the DOF of the refractive index distribution type rod lens 1b can be determined.
- the distance between the line pattern 3 and the rod lens array 10a is larger than the working distance corresponding to the distance D max.
- the distance between the line pattern 3 and the rod lens array 10a is smaller than the working distance corresponding to the distance D max.
- the distance between the line pattern 3 and the rod lens array 10a is equal to the working distance corresponding to the distance D max.
- the DOF of the refractive index distribution type rod lens 1b and the rod lens array 10a is in the above range, for example, in order to obtain image data suitable for visual inspection of a subject having uneven thickness, step, and unevenness. It is advantageous. Therefore, the refractive index distribution type rod lens 1b and the rod lens array 10a can contribute to the improvement of the accuracy of the visual inspection of the subject and the sophistication of the inspection standard.
- the DOF of the refractive index distribution type rod lens 1b is preferably 1.5 mm or more, more preferably 1.8 mm or more, and further preferably 2 mm or more.
- the DOF of the refractive index distribution type rod lens 1b is preferably 2.8 mm or less, and more preferably 2.5 mm or less.
- Lens MTF value is the maximum when the erecting equal-magnification image is formed by the gradient index rod lens 1b - distance between the imaging position L i is not limited to a particular value, for example, 13 ⁇ 28mm be.
- the rod lens array including the refractive index distribution type rod lens 1b is incorporated into the inspection device, it is easy to maintain the distance between the object to be inspected and the rod lens array at an appropriate distance. Therefore, it is possible to facilitate the assembly of parts such as an optical system.
- the refractive index distribution type rod lens 1b is advantageous from the viewpoint of inspecting an object having a desired DOF and having a step within a predetermined range.
- Lens - The distance between the imaging position L i is desirably at 15mm or more, and more preferably not less than 18 mm. Lens - between the imaging position distance L i is desirably at 25mm or less, and more desirably 22mm or less.
- the aperture angle ⁇ of the refractive index distribution type rod lens 1b is defined as shown in FIG. 2, for example.
- the aperture angle ⁇ is the maximum value of the angle formed by the light beam that can be incident on one end of the optical axis of the refractive index distribution type rod lens 1b and the optical axis.
- F1 is a subject surface (object surface)
- F2 is a light receiving surface (imaging surface) in a light receiving element or the like.
- Z 0 is the length of the refractive index distribution type rod lens 1b.
- L o is the distance between the object plane F1 and the gradient index rod lens 1b when the value of MTF is maximized
- L i is the imaging plane F2 when the value of MTF is maximized It is the distance between the refractive index distribution type rod lens 1b and the rod lens 1b.
- the rod lens array 10a constitutes a substantially upright equal-magnification imaging system
- the distance L i is substantially equal to the distance Lo o.
- X 0 is the field radius of the refractive index distribution type rod lens 1b.
- the aperture angle ⁇ of the refractive index distribution type rod lens 1b can be determined, for example, according to the method described in Examples.
- the aperture angle ⁇ may be determined by using the refractive index n 0 at the center of the refractive index distribution type rod lens 1b instead of the refractive index Nc of the glass strand before ion exchange. good. Nc or n 0 can be obtained by using the V block method described in Japanese Industrial Standards (JIS) B 7071-2: 2018.
- the aperture angle ⁇ of the refractive index distribution type rod lens 1b may be 3.5 ° or more, or 3.7 ° or more.
- the aperture angle ⁇ of the refractive index distribution type rod lens 1b is preferably 5.5 ° or less, and more preferably 5.2 ° or less.
- the maximum value of the MTF of the rod lens array 10a is not limited to a specific value, for example, 60% or more, preferably 65% or more, and more preferably 70% or more.
- the refractive index distribution type rod lens 1b has, for example, a refractive index distribution as shown in FIG. 3B in the radial direction.
- the refractive index n 0 at the origin means the refractive index at the central axis of the refractive index distribution type rod lens 1b.
- r represents the position of the refractive index distribution type rod lens 1b in the radial direction.
- the refractive index distribution of the refractive index distribution type rod lens 1b is expressed by, for example, the following equation (1).
- r is the distance from the optical axis of the refractive index distribution type rod lens 1b
- n (r) is the refractive index of the refractive index distribution type rod lens 1b at the distance r
- n 0 is.
- the refractive index at the center of the gradient index rod lens 1b ⁇ square root ⁇ a, each of h 4, h 6 and h 8, the refractive index distribution coefficients.
- n (r) 2 n 0 2 ⁇ ⁇ 1- ( ⁇ A ⁇ r) 2 + h 4 ⁇ ( ⁇ A ⁇ r) 4 + h 6 ⁇ ( ⁇ A ⁇ r) 6 + h 8 ⁇ ( ⁇ A ⁇ r) 8 ⁇ Equation (1)
- n (r) n 0 ⁇ ⁇ 1- (A / 2) ⁇ r 2 ⁇ Equation (2)
- the central refractive index n 0 of the refractive index distribution type rod lens 1b is not limited to a specific value, and is, for example, 1.51 to 1.65. As a result, the DOF tends to be large, and it is not so difficult to form a refractive index distribution by ion exchange of the base glass.
- the central refractive index n 0 of the refractive index distribution type rod lens 1b is preferably 1.54 to 1.62.
- the refractive index distribution constant ( ⁇ A) of the refractive index distribution type rod lens 1b is not limited to a specific value. ⁇ A means the square root of A.
- the refractive index distribution constant ⁇ A of the refractive index distribution type rod lens 1b is, for example, 0.130 to 0.230 mm -1 .
- the aperture angle ⁇ of the refractive index distribution type rod lens 1b is likely to fall within a desired range.
- the DOF of the refractive index distribution type rod lens 1b can be easily adjusted to a desired range.
- Refractive index distribution constant ⁇ A gradient index rod lens 1b may also be 0.140 mm -1 or higher, it may also be 0.150 mm -1 or higher, even 0.170 mm -1 or higher good.
- the refractive index distribution constant of the refractive index distribution type rod lens 1b is preferably 0.210 mm -1 or less, and more preferably 0.205 mm -1 or less.
- the imaging distance (TC) of the erect image of the refractive index distribution type rod lens 1b is 45 to 75 mm, which is advantageous from the viewpoint of adjusting the DOF of the refractive index distribution type rod lens 1b to a desired range.
- the imaging distance (TC) of the erect image in the refractive index distribution type rod lens 1b may be larger than a predetermined value from the viewpoint of adjusting the aperture angle and DOF to a desired range while considering the balance with the lens length Z 0. desirable. From this point of view, the image formation distance (TC) of the erect image in the refractive index distribution type rod lens 1b may be 47 mm or more, 50 mm or more, 53 mm or more, or 54 mm or more. There may be.
- the image formation distance of the erect image in the refractive index distribution type rod lens 1b may be 70 mm or less, and may be 67 mm or less. May be.
- the refractive index distribution type rod lens 1b when used in a close contact type image sensor that uses an LED or the like as the illumination light, the refractive index distribution type rod lens 1b suppresses an excessive decrease in the intensity and causes unevenness. It has a size suitable for reproducing less uniform lighting.
- the refractive index distribution type rod lens 1b prevents incident light having an incident angle larger than the aperture angle from being reflected by the side surface of the lens to generate noise light (so-called white noise (stray light)), if necessary. It may have a structure to be used. Such a structure may be, for example, a light absorption layer or a light scattering layer provided on the side surface of the lens.
- the refractive index distribution type rod lens 1b may have a core-clad structure in which a colored layer to be a light absorption layer is arranged on the side surface of the lens.
- the outer diameter of the lens may be different from the effective diameter of the lens that substantially contributes to the formation of an image.
- the refractive index distribution type rod lens 1b may have a structure in which fine uneven portions serving as a light scattering layer are formed on the side surface near the outermost peripheral surface thereof.
- the refractive index distribution type rod lens 1b is typically a lens made of glass.
- the glass composition at the center of the refractive index distribution type rod lens 1b is, for example, expressed in mol%, 40% ⁇ SiO 2 ⁇ 65%, 0% ⁇ TIO 2 ⁇ 10%, 0.1% ⁇ MgO ⁇ 22%, 0.15% ⁇ ZnO ⁇ 15%, 0.5% ⁇ Li 2 O ⁇ 4%, 2% ⁇ Na 2 O ⁇ 20%, 0% ⁇ B 2 O 3 ⁇ 20%, 0% ⁇ Al 2 O 3 The conditions of ⁇ 10% and 0% ⁇ K 2 O ⁇ 3% are satisfied.
- the base glass composition for a refractive index distribution type rod lens is, for example, expressed in mol%, 40% ⁇ SiO 2 ⁇ 65%, 0% ⁇ TiO 2 ⁇ 10%, 0.1% ⁇ MgO ⁇ 22%, 0.15% ⁇ ZnO ⁇ 15%, 0.5% ⁇ Li 2 O ⁇ 4%, 2% ⁇ Na 2 O ⁇ 20%, 0% ⁇ B 2 O 3 ⁇ 20%, 0% ⁇ Al 2 O 3 ⁇ 10%, 0% ⁇ K 2 O ⁇ 3%, 0% ⁇ Cs 2 O ⁇ 3%, 0% ⁇ Y 2 O 3 ⁇ 5%, 0% ⁇ ZrO 2 ⁇ 2%, 0% ⁇ Nb 2 O Includes 5 ⁇ 5%, 0% ⁇ In 2 O 3 ⁇ 5%, 0% ⁇ La 2 O 3 ⁇ 5%, and 0% ⁇ Ta 2 O 5 ⁇ 5%.
- this base glass composition contains at least two selected from the group consisting of CaO, SrO, and BaO in an amount of 0.1 mol% or more and 15 mol% or less, respectively. Further, this base glass composition is expressed in mol%, 2% ⁇ MgO + ZnO, 0.07 ⁇ ZnO / (MgO + ZnO) ⁇ 0.93, 2.5% ⁇ Li 2 O + Na 2 O ⁇ 24%, And 0% ⁇ Y 2 O 3 + ZrO 2 + Nb 2 O 5 + In 2 O 3 + La 2 O 3 + Ta 2 O 5 ⁇ 11%.
- a refractive index distribution type rod lens having a desired DOF can be obtained.
- the refractive index distribution type rod lens 1b can be manufactured, for example, by ion-exchange processing a glass wire made of the above glass composition.
- SiO 2 is an essential component that forms the network structure of glass.
- the content of SiO 2 is less than 40 mol%, the content of other components necessary for developing the optical characteristics as a refractive index distribution type rod lens after ion exchange becomes relatively large, and devitrification occurs. It will be easier. If the content is less than 40 mol%, the chemical durability of the glass composition is significantly reduced. On the other hand, when the content exceeds 65 mol%, the content of other components such as an alkaline component for forming a refractive index distribution, a refractive index increasing component, and a physical property value adjusting component is limited, which is practical. It becomes difficult to obtain a flexible glass composition. Therefore, the content of SiO 2 is 40 mol% or more and 65 mol% or less.
- TiO 2 is an essential component having an action of increasing the refractive index of the glass composition.
- the central refractive index of the refractive index distribution type rod lens obtained from the glass composition can be increased.
- the content of TiO 2 by increasing the content of TiO 2 , the refractive index distribution in the refractive index distribution type rod lens can be brought closer to the ideal state, and it is possible to manufacture a refractive index distribution type rod lens having excellent resolution.
- Become When the content of TiO 2 is 10 mol%, no reduction in the resolution of the image based on the obtained lens is observed, but when the content is less than 1 mol%, the resolution of the image is clearly reduced, which is practical. I can't get a lens.
- the content of TiO 2 is 1 mol% or more and 10 mol% or less.
- the content of TiO 2 is preferably 2 mol% or more and 8 mol% or less.
- MgO MgO is an essential component having an effect of lowering the melting temperature of the glass composition and increasing the difference in refractive index ( ⁇ n) between the central portion and the peripheral portion of the lens after ion exchange.
- ⁇ n refractive index
- the content of MgO exceeds 22 mol%, devitrification is likely to occur. Further, when the content of MgO exceeds 22 mol%, the content of other components is excessively reduced, and a practical glass composition cannot be obtained. Therefore, the content of MgO is 0.1 mol% or more and 22 mol% or less. From the viewpoint of realizing a sufficient refractive index difference, the content of MgO is preferably 2 mol% or more.
- the content of MgO is 2 mol% or more
- the content of alkaline earth metal oxides (CaO, SrO, BaO) can be more appropriately controlled for the purpose of further reducing the mobility of alkaline ions. .. That is, the content of MgO is preferably 2 mol% or more and 22 mol% or less, and more preferably 2 mol% or more and 16 mol% or less.
- ZnO, MgO + ZnO, ZnO / (MgO + ZnO) ZnO has an effect of improving the weather resistance of the glass composition and the refractive index distribution type rod lens.
- ZnO may be added to replace a part of MgO.
- the ZnO content is 0.15 mol% or more and 15 mol% or less. At this time, the content of MgO and ZnO is adjusted so that the total content of MgO and ZnO (MgO + ZnO) is 2 mol% or more.
- the content of MgO and ZnO so that the ratio of the content of ZnO to the total content of MgO and ZnO (ZnO / (MgO + ZnO) is 0.07 ⁇ ZnO / (MgO + ZnO) ⁇ 0.93).
- the ZnO content is preferably 3 mol% or more and 15 mol% or less.
- MgO + ZnO is 6 mol. % Or more, and the condition of 0.12 ⁇ ZnO / (MgO + ZnO) ⁇ 0.93 can be satisfied.
- the ZnO content is preferably 8 mol% or less. From the viewpoint of further enhancing the weather resistance of the glass composition and the refractive index distribution type rod lens, the ZnO content is more preferably 4 mol% or more and 15 mol% or less.
- MgO + ZnO is 6 mol% or more.
- MgO + ZnO may be 6 mol% or more and 22 mol% or less.
- MgO + ZnO may be 15 mol% or less.
- ZnO / (MgO + ZnO) is preferably 0.07 or more and 0.9. It is less than or equal to, more preferably 0.25 or more and 0.85 or less, further preferably 0.25 or more and 0.8 or less, and particularly preferably 0.3 or more and 0.8 or less.
- Li 2 O is an essential component and is one of the most important components for ion-exchange the glass composition of the present invention to obtain a refractive index distribution type rod lens.
- a sufficient concentration distribution that is, a sufficient refractive index distribution cannot be developed by ion exchange, and an appropriate refractive index distribution type rod lens cannot be obtained. It was being considered.
- the present inventors have an appropriate refractive index distribution even in a glass composition having a Li 2 O content of 4 mol% or less by performing ion exchange under predetermined conditions. , It has been newly found that a refractive index distribution type rod lens having a large DOF can be manufactured.
- the content of Li 2 O is 0.5 mol% or more, preferably 0.7 mol% or more, and more preferably 1 mol% or more.
- the content of Li 2 O is 4 mol% or less, preferably 3.5 mol% or less, more preferably 3 mol% or less, and further preferably 2 mol% or less.
- the refractive index distribution type rod lens 1b is that the content of Li 2 O is lower than that of various prior arts. Previously, there was a manufacturing process reason that the Li 2 O content could not be reduced. The present inventors have made new efforts such as limiting the amount of glass wire processed per batch by the ion exchange method and reducing the initial content of Li in the molten salt to reduce curvature of field, etc. It has been newly found that a refractive index distribution type rod lens having a smaller aperture angle than before and having practical resolution can be obtained while suppressing the aberration of the lens.
- Na 2 O Na 2 O assists the ion exchange between Li and the ion of the ion exchange species (ion contained in the molten salt) that replaces the Li ion by the so-called mixed alkali effect during the ion exchange, and the ion is easy to exchange. Keep the motility moderate.
- the ion exchange rate can be adjusted appropriately, and the optical characteristics of the refractive index distribution type rod lens can be adjusted. If the content of Na 2 O in the glass composition is less than 2 mol%, the glass becomes hard during glass molding, which makes molding difficult. In addition, the melting temperature of the glass rises significantly, making it difficult to manufacture the lens. In addition, it is difficult to sufficiently obtain the effect of keeping the mobility of ions moderate.
- the content of Na 2 O is 2 mol% or more, preferably 5 mol% or more, and more preferably 10 mol% or more.
- the Na 2 O content is 20 mol% or less, preferably 17 mol% or less.
- Li 2 O + Na 2 O As described above, the total of the Li 2 O content and the Na 2 O content (Li 2 O + Na 2 O) in the glass composition is 2.5 mol% or more and less than 24 mol%.
- Li 2 O + Na 2 O is in this range, a good resolution image can be obtained by a refractive index distribution type rod lens manufactured by using this glass composition.
- Li 2 O + Na 2 O is preferably 6 mol% or more, and more preferably 10 mol% or more.
- Li 2 O / Na 2 O Li 2 O ratio of content of the relative content of (Li 2 O / Na 2 O )
- Li 2 O / Na 2 O is excessively large (for example, 1.0 or more)
- the aperture angle of the refractive index distribution type rod lens manufactured by using the glass composition tends to be large, and its DOF tends to be small. It is in. Therefore, Li 2 O / Na 2 O is, for example, 0.2 or less, preferably 0.15 or less, and more preferably 0.1 or less.
- the above glass composition may further contain the following components.
- B 2 O 3 is an optional component that forms the network structure of glass, and promotes vitrification of the glass composition with almost no change in the resolution and aperture angle ⁇ of the obtained refractive index distribution type rod lens. It has the effect of adjusting the viscosity. It also has a slight effect of slowing the ion exchange rate of the glass composition.
- the content of each of the above-mentioned essential components is within the range of the present invention, but when viewed as a composition, the content of some components becomes relatively large, and the glass has a relatively large content. It may be added when the stability is reduced (for example, devitrification is likely to occur).
- the content of B 2 O 3 that can be added without changing the resolving power and the aperture angle of the obtained refractive index distribution type rod lens is, for example, 20 mol% or less. Therefore, the content of B 2 O 3 is 0 mol% or more and 20 mol% or less. The content is preferably 0 mol% or more and 10 mol% or less, and when the glass composition contains B 2 O 3 , the content is preferably 1 mol% or more and 10 mol% or less.
- the base glass composition for a refractive index distribution type rod lens may contain Al 2 O 3 as an optional component, and the content thereof is 0 mol% or more and 10 mol% or less.
- the total content of SiO 2 , TiO 2 and B 2 O 3 is, for example, 41 mol% or more and 70 mol%. It is less than or equal to 50 mol% or more and preferably 70 mol% or less.
- the base glass composition for a refractive index distribution type rod lens is Y 2 O 3 , ZrO 2 , Nb 2 O 5 , In 2 O 3 , La 2 O 3 , Ta 2 O 5 )
- the base glass composition for a refractive index distribution type rod lens is Y 2 O 3 , ZrO 2 , Nb 2 for the purpose of adjusting the refractive index of the refractive index distribution type rod lens obtained after ion exchange or improving the weather resistance. It may contain at least one component selected from the group consisting of O 5 , In 2 O 3 , La 2 O 3 , and Ta 2 O 5.
- the total content of these components is 0 mol% or more and 11 mol% or less, and when the base glass composition for a refractive index distribution type rod lens contains these components, the total content of these components is Desirably, it is 0.2 mol% or more and 6 mol% or less. Further, it is desirable that the total of the content of these components and the content of ZnO is 15 mol% or less.
- the content of Y 2 O 3 is preferably 0 mol% or more and 5 mol% or less.
- ZrO 2 The content of ZrO 2 is preferably 0 mol% or more and 2 mol% or less, and when the base glass composition for a refractive index distribution type rod lens contains ZrO 2 , the content is 0.2 mol% or more and 2 It is less than mol%.
- Nb 2 O 5 , In 2 O 3 , La 2 O 3 , and Ta 2 O 5 are each preferably 0 mol% or more and 5 mol% or less.
- K 2 O, Cs 2 O K 2 O and Cs 2 O are optional components having an action of reducing the mobility of alkaline ions by the mixed alkaline effect, like MgO, CaO, SrO, and BaO.
- Each of the contents of K 2 O and Cs 2 O is, for example, 0 mol% or more and 3 mol% or less.
- the content of Cs 2 O is preferably less than 2 mol%, more preferably 0 mol% or more and 1 mol% or less. , More preferably 0.5 mol% or less.
- the base material glass composition for a refractive index distribution type rod lens substantially does not contain Cs 2 O.
- substantially free means that the content of the component is less than 0.1 mol%.
- GeO 2 may be contained as another component in the base glass composition for a refractive index distribution type rod lens.
- the content of GeO 2 can be 0 mol% or more and 10 mol% or less.
- the base glass composition for a refractive index distribution type rod lens may contain at least one selected from the group consisting of SnO 2 , As 2 O 3 and Sb 2 O 3 as an additive.
- the content of SnO 2 , As 2 O 3 , and Sb 2 O 3 can each be 0 mol% or more and 1 mol% or less.
- the base glass composition for a refractive index distribution type rod lens may be substantially composed of the above-mentioned components.
- the content of each component contained in the glass composition and the relationship (total and content ratio) between the contents of each component satisfy the above-mentioned conditions.
- substantially consisting of means that the content of impurities of less than 0.1 mol% is allowed.
- the base glass composition for a refractive index distribution type rod lens is substantially free of lead (typically PbO). Further, the refractive index distribution type rod lens 1b also contains substantially no lead.
- the water resistance determined in accordance with the Japan Optical Glass Industry Association Standard (JOGIS) 06-2009 is first grade.
- the base glass composition for the refractive index distribution type rod lens has high water resistance
- the refractive index distribution type rod lens manufactured by using the base material glass composition for the refractive index distribution type rod lens also has high water resistance. Easy to have sex.
- the water resistance determined in accordance with JOBIS 06-2009 may be first grade.
- the base glass composition for a refractive index distribution type rod lens contains an oxide of a primary alkali metal element.
- the refractive index distribution type rod lens 1b can be manufactured, for example, by a method including the following steps (I) and (II).
- a glass strand 1a made of the above-mentioned base glass composition for a refractive index distribution type rod lens is formed.
- Glass element 1a is immersed in a molten salt S containing a second alkali metal element R different from the first alkali metal element Q contained in the base glass composition for a refractive index distribution type rod lens, and the glass element is immersed in the glass element.
- a refractive index distribution is formed on the glass wire 1a by performing an ion exchange treatment between the first alkali metal element Q in the wire 1a and the second alkali metal element R in the molten salt.
- the glass wire 1a is put into the molten salt S inside the container V, and the glass wire 1a is immersed in the molten salt S for a predetermined time.
- the molten salt S for example, at least one of potassium nitrate and sodium nitrate is melted.
- the cations of the first alkali metal element Q such as Li (lithium) contained in the glass wire 1a are dissolved in the molten salt S.
- cations of the second alkali metal element R such as K (potassium) in the molten salt S invade the glass wire 1a.
- the cations of the first alkali metal element Q and the second alkali metal element R can be appropriately exchanged with each other. Can be controlled.
- a concentration distribution of a specific monovalent cation is generated inside the glass wire 1a, and a refractive index distribution as shown in FIG. 3B is formed on the glass wire 1a according to this concentration distribution.
- the refractive index distribution type rod lens 1b can be manufactured from the glass wire 1a.
- the refractive index is typically the highest in the central portion of the refractive index distribution type rod lens 1b.
- r 0.
- the refractive index n 0 in the central portion of the refractive index distribution type rod lens 1b may be the same as the refractive index Nc of the base glass composition for the refractive index distribution type rod lens before the ion exchange treatment.
- the composition of the glass at the center of the refractive index distribution type rod lens is the same as the composition of the base glass before ion exchange. Can be the same.
- the optical product according to the present invention is not limited to a specific product as long as it includes the refractive index distribution type rod lens 1b.
- a predetermined rod lens array can be provided, for example, by using the refractive index distribution type rod lens 1b.
- the rod lens array forms an upright 1x image.
- the rod lens array may have a 0-dimensional array, a 1-dimensional array, or a 2-dimensional array with respect to the arrangement of the refractive index distribution type rod lens 1b.
- the zero-dimensional array is, for example, a configuration in which a single refractive index distribution type rod lens 1b is arranged, and is expected to have a desired effect by an optical product composed of a single refractive index distribution type rod lens 1b. be.
- the one-dimensional arrangement is a configuration in which a plurality of refractive index distribution type rod lenses 1b are arranged in a row in a specific direction.
- the specific direction is called the main scanning direction
- the direction perpendicular to the main scanning direction and perpendicular to the optical axis is called the sub-scanning direction.
- the plurality of refractive index distribution type rod lenses 1b are arranged so that their optical axes are substantially parallel to each other.
- the two-dimensional array is a configuration in which a plurality of lenses are arranged in different directions in addition to the one-dimensional array.
- a configuration in which a plurality of refractive index distribution type rod lenses 1b are arranged in two or more rows along the main scanning direction may correspond to a two-dimensional arrangement.
- the rod lens array 10b even if the diameter of each refractive index distribution type rod lens is small, a wide range of upright equal magnification images can be obtained.
- the image formation distance (TC) of the refractive index distribution type rod lens 1b is 45 to 75 mm. In other words, the imaging distance of the rod lens array is 45 to 75 mm.
- the refractive index distributed rod lens 1b has a depth of field (DOF) of 1.5 to 3.0 mm. In other words, the depth of field (DOF) in the rod lens array is 1.5 to 3.0 mm.
- the rod lens array 10b shown in FIG. 4 can be provided by using the refractive index distribution type rod lens 1b.
- a plurality of refractive index distribution type rod lenses 1b are arranged so that their optical axes are substantially parallel to each other.
- the plurality of refractive index distribution type rod lenses 1b are arranged in two rows so as to form a two-dimensional arrangement.
- the plurality of refractive index distribution type rod lenses 1b are arranged, for example, between a pair of fiber reinforced plastic (FRP) substrates 5.
- FRP fiber reinforced plastic
- a plurality of refractive index distribution type rod lenses 1b are integrated between the pair of FRP substrates 5.
- Such a rod lens array 10b can be manufactured, for example, as follows. First, a plurality of refractive index distribution type rod lenses 1b are arranged substantially in parallel on the surface of one FRP substrate 5, and the lenses are sandwiched by the other FRP substrate 5. After that, the space between the pair of FRP substrates 5 is filled with the black resin 7 to integrate the whole. Further, the end face of the refractive index distribution type rod lens 1b is polished as needed.
- one refractive index distribution type rod lens 1b forms an upright equal-magnification image in the range of the field radius X 0.
- the amount of light on the optical axis of the refractive index distribution type rod lens 1b is the largest, and the amount of light decreases as the distance from the optical axis increases. Therefore, the amount of light changes in the field of view represented by the field of view radius X 0. Since the rod lens array is formed by arranging such a refractive index distribution type rod lens 1b, unevenness in the amount of light depending on the arrangement pitch of the refractive index distribution type rod lens 1b occurs.
- the brightness of the image depends on the arrangement pitch of the rod lenses in the rod lens array and the main scanning direction (of the rod lens). It can fluctuate periodically in the arrangement direction). As a result, the optical instrument may not exhibit the desired performance.
- FIG. 5 schematically shows the relationship between the field of view of the upright equal-magnification image of the refractive index distribution type rod lens 1b having a diameter D and the light amount distribution.
- the light amount distribution E (x, y) in the field of view of an upright equal-magnification image is expressed by the following equation (3).
- E 0 is the light intensity at the center of the field of view of the upright equal-magnification image.
- E (x, y) E 0 ⁇ ⁇ ⁇ 1- (x 2 + y 2 ) / X 0 2 ⁇ Equation (3)
- FIG. 6 schematically shows the light amount distributions E M1 and E M2 in a rod lens array in which the refractive index distribution type rod lenses 1b having the above light amount distribution E (x, y) are arranged in an array.
- the light amount distribution E M1 shows the light amount distribution of the refractive index distribution type rod lens 1b individually
- the light amount distribution E M2 is a composite of the light amount distribution of the refractive index distribution type rod lens 1b.
- the light amount distribution in the rod lens array exhibits periodic light amount unevenness along the main scanning direction (x direction) according to the arrangement pitch of the refractive index distribution type rod lens 1b.
- the light amount unevenness ⁇ E (0,0) along the reference line is expressed by, for example, the following equation (4).
- E max and E min are the maximum value and the minimum value in the light amount distribution along the reference line, respectively.
- the light amount unevenness ⁇ E (0,0) can be obtained by actually manufacturing a rod lens array and measuring the light amount distribution. Further, if the optical constant of the refractive index distribution type rod lens 1b is known, ⁇ E (0,0) can be calculated based on the equations (3) and (4).
- the rod lens array has, for example, a lens group in which a plurality of refractive index distribution type rod lenses 1b are arranged in a row along the main scanning direction.
- the reference line is the refraction distribution type rod lens 1b along the direction parallel to the image plane of the upright equal magnification image and the central axis of the refraction distribution type rod lens 1b. It is an intersection with a plane at an equal distance from one end and the other end of the lens group (rod lens array) in the sub-scanning direction (y direction) when the end face of the lens is viewed.
- 7A and 7B conceptually show a reference line L R of a rod lens array having a lens group in which a plurality of refractive index distribution type rod lenses 1b are arranged in a row.
- FIGS. 8A and 8B conceptually show a reference line L R of a rod lens array having a lens group in which a plurality of refractive index distribution type rod lenses 1b are arranged in two rows.
- 9A and 9B conceptually show a reference line L R of a rod lens array having a lens group in which a plurality of refractive index distribution type rod lenses 1b are arranged in three rows.
- P may be an object such as a manuscript and an object to be inspected
- f 1 may be a reading surface or an inspection surface of the object.
- f 2 is an image plane.
- the amount of light unevenness ⁇ E (0,0) along the reference line is specific. Not limited to value.
- the light amount unevenness ⁇ E (0,0) along the reference line is, for example, 6% or less.
- a predetermined range is a range in which the light amount distribution has substantially periodicity in the main scanning direction (x direction), and ⁇ E (0,0) along the reference line is, for example, within a predetermined range. You may be asked.
- the light intensity unevenness ⁇ E (0,0) along the reference line is preferably 5% or less, and more preferably 4% or less.
- the light amount unevenness ⁇ E (0,0) along the reference line is, for example, 1% or more.
- the rod lens array 10b can be changed from various viewpoints, and a material known in the production of the rod lens array may be used as the material of each part constituting the rod lens array. Further, the arrangement of the plurality of refractive index distribution type rod lenses 1b is not limited to two rows. The plurality of refractive index distribution type rod lenses 1b may be arranged in one row, or may be arranged in two rows or three or more rows. By arranging the refractive index distribution type rod lenses 1b in a large number of rows, it is possible to provide a rod lens array that can handle a large area.
- the refractive index distribution type rod lens 1b may be a plastic rod lens having the above optical performance.
- the plastic rod lens can be manufactured by a method such as a copolymerization method, a sol-gel method, and an interdiffusion method.
- resins whose refractive index gradually decreases from the center to the outer circumference are laminated concentrically, and then the materials between the layers are mutually diffused so that the refractive index becomes continuous. After performing such a treatment, further heating and stretching is performed to obtain a rod-shaped rod lens. Due to the characteristics of the material of the plastic rod lens, it is easy to handle and generally inexpensive, and in some cases, it has an advantage.
- a rod lens array equipped with a refractive index distribution type rod lens 1b has a large DOF and, in some cases, has excellent weather resistance, and is widely used in optical instruments such as scanners, copiers, facsimiles, printers, CIS, and line cameras. be able to. In other words, it is possible to provide an optical instrument equipped with a rod lens array. Furthermore, since the rod lens array provided with the refractive index distribution type rod lens 1b is particularly excellent in water resistance (moisture resistance), it is not only used for general air conditioning in offices, but also in factories, storage warehouses or warehouses exposed to high temperature and humidity. It can be applied to the above optical equipment even in various environments including distribution such as transportation trucks.
- An optical device equipped with a rod lens array further includes, for example, a line-shaped light source and an optical sensor.
- the rod lens array 10b can be used to provide the close contact image sensor (CIS) 100 shown in FIG.
- the CIS 100 includes, for example, a rod lens array 10b, a housing 11, a line-shaped optical sensor 12, a line-shaped lighting device 13, and a document base 14.
- the line-shaped optical sensor 12 extends in the main scanning direction of the rod lens array 10b.
- the direction parallel to the X-axis is the main scanning direction
- the direction parallel to the Y-axis is the sub-scanning direction.
- the line-shaped illuminating device 13 extends in the main scanning direction of the rod lens array 10b.
- the platen 14 is formed of a glass plate. The glass plate forming the platen 14 is arranged so as to cover the opening of the housing 11.
- the rod lens array 10b, the line-shaped optical sensor 12, and the line-shaped lighting device 13 are arranged inside the housing 11. Illumination light is linearly applied from the line-shaped illumination device 13 to the document P placed on the platen 14.
- the rod lens array 10b is arranged so that the light reflected on the surface of the document P is incident on the linear photosensor 12.
- the line-shaped optical sensor 12 is arranged so that the light reflected from the document passes through the rod lens array 10b and is collected.
- a two-dimensional image of the document P by scanning a mechanism including the rod lens array 10b and the linear photosensor 12 in the sub-scanning direction or by transporting the document P placed on the platen 14 in the sub-scanning direction. You can get the data.
- the image sensor 100 may be configured to be able to image an object other than the original.
- the rod lens array 10b includes a refractive index distribution type rod lens 1b having a large DOF, for example, even in a portion where a part of the document P is floated due to a wrinkle or a spread portion or the like, the read image can be read. The quality tends to be good.
- the image sensor 300 shown in FIG. 11 can be provided.
- the image sensor 300 includes a housing 31, a line-shaped optical sensor 32, a line-shaped lighting device 33, a first spacer 34a, a second spacer 34b, and a substrate 35.
- the line-shaped lighting device 33 is arranged outside the housing 31.
- the rod lens array 10b is provided with the first spacer 34a and the second spacer 34b. It is positioned and fixed to the housing 31.
- the image sensor 300 may be applied to a device for inspecting the appearance of a subject, or may be used to obtain an image from a subject (inspection object) instead of the document P.
- the light beam emitted from the line-shaped illumination device 33 irradiates the subject, and the light reflected on the surface of the subject is imaged on the line-shaped optical sensor 32 by the imaging action of the rod lens array 10b.
- the line-shaped optical sensor 32 can sequentially convert one-dimensional image information on the surface of a subject into an electric signal and output it.
- the printer 500 shown in FIG. 12 can be provided.
- the printer 500 includes a writing head 51, a photosensitive drum 52, a charging device 53, a developing device 54, a transfer device 55, a fixing device 56, an erasing lamp 57, a cleaning device 58, and a paper feed cassette 59.
- the rod lens array 10b is arranged inside the writing head 51.
- the printer 500 is an electrophotographic printer.
- the writing head 51 includes a rod lens array 10b and a light emitting element array (not shown).
- the rod lens array 10b constitutes an imaging optical system that exposes the light emitted from the light emitting element array onto the photosensitive drum 52.
- the rod lens array 10b has its focal point located on the surface of the photosensitive drum 52, and constitutes an upright equal magnification optical system.
- a photosensitive layer made of a photoconductive material (photoreceptor) such as amorphous Si is formed on the surface of the photosensitive drum 52.
- the surface of the rotating photosensitive drum 52 is uniformly charged by the charger 53.
- the write head 51 irradiates the photosensitive layer of the photosensitive drum 52 with the light of the dot image corresponding to the image to be formed, neutralizes the charge in the area irradiated with the light in the photosensitive layer, and lurks in the photosensitive layer. An image is formed.
- the toner when the toner is attached to the photosensitive layer by the developing device 54, the toner adheres to the portion of the photosensitive layer where the latent image is formed according to the charged state of the photosensitive layer.
- the attached toner is transferred to the paper sent from the cassette by the transfer device 55, and then the paper is heated by the fixing device 56, so that the toner is fixed on the paper and an image is formed.
- the charge of the photosensitive drum 52 for which transfer has been completed is neutralized over the entire region by the erasing lamp 57, and then the toner remaining on the photosensitive layer is removed by the cleaner 58.
- the inspection device 700 shown in FIG. 13 can be provided.
- the inspection device 700 includes an image sensor 71, a line-shaped lighting device 72 as a light source, a controller 73, an output device 74, a transfer device 75, and a transfer control device 76.
- a rod lens array 10b is arranged inside the image sensor 71.
- the transport device 75 is, for example, a belt conveyor.
- the transport device 75 transports a subject T such as a printed circuit board, textile, and paper.
- the transfer control device 76 is a digital computer for controlling the transfer device 75, and outputs a control signal for adjusting the transfer speed of the transfer device 75 toward the transfer device 75.
- the image sensor 71 and the line-shaped lighting device 72 are arranged above the transport device 75, for example, and the subject T passes directly under the image sensor 71 by the transport device 75.
- the image sensor 71 and the line-shaped lighting device 72 are arranged so that clear image data of the subject T can be obtained.
- the controller 73 is a digital computer for forming image data of the subject T. When the subject T passes directly under the image sensor 71, the controller 73 continuously acquires one-dimensional image information from the image sensor 71. In addition, the controller 73 acquires the transport position information of the subject T from the transport control device 76.
- the controller 73 performs a calculation process based on the one-dimensional image information acquired from the image sensor 71 and the transport position information acquired from the transport control device 76 to form two-dimensional image information.
- the formed two-dimensional image information is compared with the information characterizing defects such as foreign matter, cracks, and pinholes stored in advance in the controller 73.
- the controller 73 identifies the presence / absence of defects, the number of defects, and the position of defects in the subject T.
- the controller 73 may determine the pass / fail of the subject T based on the comparison result.
- the output device 74 is, for example, a monitor and displays two-dimensional image information formed by the controller 73.
- the above-mentioned optical equipment such as CIS, image sensor, and inspection device may be configured to be able to acquire a color image of an object such as an object to be inspected, a subject, and a document.
- a color filter type optical device 900 can be provided.
- the optical device 900 includes a rod lens array 10a, a white light source (not shown), and an optical sensor 92.
- the white light source emits light having a different wavelength such as RGB.
- the white light source is, for example, a line-shaped light source.
- the optical sensor 92 is arranged along the main scanning direction of the rod lens array 10a and has a plurality of segments having different main wavelengths.
- the optical sensor 92 is, for example, a sensor such as a photodiode provided with a color filter corresponding to R (red), G (green), and B (blue).
- Each of the plurality of segments is arranged, for example, in the sub-scanning direction (y direction), and includes color filters corresponding to each of R, G, and B.
- the plurality of segments of the optical sensor 92 are arranged in the main scanning direction (x), and pixel information corresponding to RGB is formed in each segment, and these are combined to color the object. An image is obtained.
- the color filter type image sensor has advantages such as small color shift in the sub-scanning direction and good color reproducibility corresponding to each color of RGB.
- a rod lens array in a color filter type image sensor not only the shift from the reference position in the axial direction of the rod lens but also the optical performance when the rod lens is shifted from the reference position by a predetermined distance in the sub-scanning direction (y direction) is important.
- the light intensity unevenness it is important that the light intensity unevenness along the main scanning direction is small when the rod lens array is shifted in the sub-scanning direction (y direction) by a predetermined distance.
- the light intensity unevenness when shifted by a predetermined distance y in the sub-scanning direction is expressed as ⁇ E (y, 0).
- a rod lens array having a lens group in which a plurality of refractive index distribution type rod lenses 1b are arranged in a row along the main scanning direction when the distance from the reference line L R in the sub scanning direction is 0 to 0.5 mm.
- the light intensity unevenness ⁇ E can be calculated from each parameter of a known rod lens in addition to the measurement using the rod lens array. Further, in order to evaluate the light amount unevenness ⁇ E of the rod lens array, the overlap degree M of the rod lens array, which is the arrangement pitch ratio of the field radius, can be used.
- One of the causes of the light amount unevenness is the light amount distribution in the image formed by one rod lens. Therefore, assuming that multiple rod lenses are arranged so that the low light field of view region of a particular rod lens is compensated by another rod lens, the field of view radius is divided by the rod lens array pitch. It is understood that it is appropriate to use the value.
- X 0 is the field radius
- 2R is the arrangement pitch of the rod lens array
- the degree of overlap M of the rod lens array provided with the plurality of refractive index distribution type rod lenses 1b is not limited to a specific value, and is, for example, 1.4 to 3.6. This makes it easy to reduce unevenness in the amount of light while keeping the DOF within a desired range.
- the overlap degree M of the rod lens array is preferably 1.6 or more, more preferably 1.8 or more, and further preferably 2.0 or more.
- the overlap degree M of the rod lens array is preferably 3.4 or less, and more preferably 3.2 or less.
- Characteristics such as light intensity unevenness and overlap degree M related to light intensity unevenness of the rod lens array are indicators used for evaluation in expanding the range of products to which the rod lens array can be applied. On the other hand, these characteristics are limited to the characteristics for evaluating the optical performance regarding the shift in the sub-scanning direction (y direction). In an optical instrument using a rod lens array, it is important that the fluctuation of the light intensity unevenness is small even if the heights of the document and the object to be inspected fluctuate, such as the depth of field (DOF).
- DOE depth of field
- an index of the light amount unevenness depth is used for the fluctuation of the light amount unevenness with respect to the shift in the optical axis direction of the rod lens of the rod lens array.
- the depth of light unevenness is when the distance y from the reference line L R in the sub-scanning direction and the position of the object surface in the direction parallel to the optical axis of the rod lens of the rod lens array is the maximum value of MTF. It is expressed by ⁇ E (y, ⁇ L) as the maximum value of the light amount unevenness when the position of the object surface is deviated by ⁇ L.
- ⁇ L is a negative value when the distance between the object plane and the rod lens array in a direction parallel to the optical axis is smaller than L i, a positive value when the distance is larger than L i.
- the value of y representing the deviation in the sub-scanning direction (y direction) is 0.
- the light amount uneven depth ⁇ E (y, ⁇ L) when the thickness is about 0.5 mm and ⁇ L is ⁇ 1.5 mm to 1.5 mm is, for example, 25% or less.
- the light intensity unevenness depth ⁇ E (y, ⁇ L) in the range of the above y and ⁇ L values is preferably 15% or less, more preferably 10% or less, and further preferably 8% or less.
- the light intensity unevenness depth ⁇ E (y, ⁇ L) required for the rod lens array may differ depending on the quality level of the object such as the original document and the object to be inspected. For example, when the value of ⁇ L or y is not so large and it is required to acquire a high-quality image, when y is 0 to 0.3 mm and ⁇ L is ⁇ 1.0 mm to 1.0 mm.
- the light intensity uneven depth ⁇ E (y, ⁇ L) is, for example, 8% or less, preferably 6% or less. Further, when y is 0 to 0.2 mm and ⁇ L is ⁇ 0.5 mm to 0.5 mm, ⁇ E (y, ⁇ L) is, for example, 6% or less, preferably 4% or less. ..
- each glass wire was immersed in a molten sodium nitrate heated near the glass transition temperature of the glass composition constituting each glass wire, and ion exchange treatment was performed. As a result, a refractive index distribution was formed on each glass wire. Then, the glass wire after the ion exchange treatment was cut into one cycle length, and the cut end face was polished to obtain a refractive index distribution type rod lens according to each Example, each Comparative Example, and Reference Example 1.
- the refractive index Nc was determined by evaluating the refractive index of the glass composition according to each Example, each Comparative Example, and Reference Example 1.
- a rectangular parallelepiped sample having a cross-sectional area of 15 mm square was prepared by cutting out a base glass made of a glass composition, and the refractive index Nc was evaluated according to the V block method described in JIS B 7071-2: 2018.
- a sample is placed on a V-block prism, and the declination of the light rays bent by the sample when passing through the dispersed light rays is measured.
- This method is a method of relatively calculating the refractive index of a sample from the value of this declination and the refractive index of a known V-block prism.
- KPR-3000 manufactured by Shimadzu Corporation was used for the evaluation.
- the water resistance of each glass composition was evaluated according to JOBIS 06-2009.
- a sample prepared from each glass composition was placed in boiling water for 1 hour to measure the weight loss rate, and the water resistance of each glass composition was evaluated according to the weight loss rate.
- the water resistance of JOBIS 06-2009 is classified into grades 1 to 6, and it can be said that glass having a water resistance of grade 1 has excellent weather resistance, particularly resistance to moisture.
- each of the refractive index distribution type rod lenses was subjected to a predetermined treatment (concavo-convex formation treatment) on the side surface thereof for the purpose of removing noise light. Then, each of the plurality of refractive index distribution type rod lenses was arranged two-dimensionally to prepare a rod lens array in which the plurality of refractive index distribution type rod lenses as shown in FIG. 4 were arranged in two rows. In this way, the rod lens array according to each Example, each Comparative Example, and Reference Example 1 was obtained. A line pattern having 6 pairs of black and white lines at 1 mm intervals was prepared. That is, this line pattern had a spatial frequency of 6 lines / mm.
- the light emitted from the halogen lamp was passed through a color filter (transmission center wavelength: 530 nm, full width at half maximum 15 nm) to irradiate the line pattern.
- the line pattern, each rod lens array, and the light receiving element are arranged at the positions where the MTF value of the upright equal magnification image is maximized.
- the distance between the rod lens array and the light receiving element was determined as the lens-imaging position distance Lo.
- Table 3 After that, while keeping the distance between the rod lens array and the light receiving element constant, the MTF value is obtained at each position while moving the line pattern in the optical axis direction, and the MTF value is obtained from the relationship between ⁇ L and the MTF value.
- FIG. 15 shows the relationship between the MTF value and ⁇ L in the rod lens array according to Example 2, Comparative Example 3, and Reference Example 1.
- the DOF in the rod lens array provided with the refractive index distribution type rod lens according to each embodiment is in the range of 1.5 to 3.0 mm, and the refractive index distribution type rod lens according to each embodiment. Is suggested to have the desired DOF.
- the water resistance of the glass composition according to each example was first grade.
- the DOF in the rod lens array provided with the refractive index distribution type rod lens according to each comparative example was small.
- the DOF in the rod lens array provided with the refractive index distribution type rod lens according to Reference Example 1 was 2.4 mm.
- the water resistance of the glass composition according to Reference Example 1 is grade 4, suggesting that the glass composition according to Reference Example 1 is inferior in water resistance to the glass composition according to each example. Was done.
- Light intensity unevenness and overlap degree Light intensity unevenness was determined for each of the examples, each comparative example, and the rod lens array according to Reference Example 1 having each parameter as shown in Table 3. A rod lens having each parameter in Table 3 arranged in two rows as shown in FIG. 4 was considered as a model. 16A and 16B schematically show an optical system for calculating light intensity unevenness.
- the rod lens 10 corresponds to a refractive index distribution type rod lens in the rod lens array according to each example, each comparative example, and reference example 1.
- image formation distance TC and lens - relates inter imaging position distance L i, in accordance with the values shown in Table 3, was placed a refractive index distribution type rod lenses.
- the x direction is the main scanning direction of the rod lens array
- the y direction is the sub-scanning direction of the rod lens array.
- Table 4 shows the values of the light amount unevenness ⁇ E (y, 0) of the rod lens array according to each example, each comparative example, and reference example 1 calculated based on the formula (3) and the formula (4).
- Table 3 shows the degree of overlap M of each rod lens array.
- Light intensity unevenness depth Similar to the calculation of the light intensity unevenness, the light intensity unevenness was obtained for a plurality of sets of ⁇ L and y in the rod lens arrays according to Examples 1 to 3 and Comparative Example 4 based on the optical systems shown in FIGS. 16A and 16B. .. The results are shown in Tables 5 and 6.
- the maximum value of the light amount unevenness ⁇ E within a predetermined range of ⁇ L and y is the light amount unevenness depth ⁇ E (y, ⁇ L) .
- the optical parameters of the rod lens array according to Comparative Example 4 are as follows.
- the light amount unevenness depth ⁇ E (y, ⁇ L) of the rod lens array according to the first embodiment is 13.2%, and the embodiment.
- the light amount unevenness depth ⁇ E (y, ⁇ L) of the rod lens array according to 2 is 6.4%, and the light amount unevenness depth ⁇ E (y, ⁇ L) of the rod lens array according to Example 3 is 6.0%.
- the light amount uneven depth ⁇ E (y, ⁇ L) of the rod lens array according to Comparative Example 4 was 120.8%.
- the light amount unevenness depth ⁇ E (y, ⁇ L) of the rod lens array according to the first embodiment is 7.5%, and the embodiment.
- the light amount unevenness depth ⁇ E (y, ⁇ L) of the rod lens array according to 2 is 5.4%
- the light amount unevenness depth ⁇ E (y, ⁇ L) of the rod lens array according to Example 3 is 4.8%.
- the light amount uneven depth ⁇ E (y, ⁇ L) of the rod lens array according to Comparative Example 4 was 120.8%.
- the light amount unevenness depth ⁇ E (y, ⁇ L) of the rod lens array according to the first embodiment is 4.3%, and the embodiment.
- the light amount unevenness depth ⁇ E (y, ⁇ L) of the rod lens array according to 2 is 3.6%
- the light amount unevenness depth ⁇ E (y, ⁇ L) of the rod lens array according to Example 3 is 3.6%.
- the light amount uneven depth ⁇ E (y, ⁇ L) of the rod lens array according to Comparative Example 4 was 57.7%.
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Abstract
Description
正立等倍像を形成するロッドレンズアレイであって、
光軸が互いに平行になるように配列された、複数の屈折率分布型ロッドレンズを備え、
前記複数の屈折率分布型ロッドレンズのそれぞれは、半径方向に屈折率分布を有し、
前記屈折率分布型ロッドレンズの半径をr0と表し、前記屈折率分布型ロッドレンズの中心の屈折率である中心屈折率をn0と表し、前記屈折率分布型ロッドレンズの屈折率分布定数を√Aと表し、前記屈折率分布型ロッドレンズの中心からの距離rにおける屈折率を、n(r)=n0・{1-(A/2)・r2}と近似したときに、sin-1(n0・√A・r0)で表される開口角θが3~6°であり、
前記ロッドレンズアレイの結像距離は、45~75mmであり、
6本/mmの空間周波数における変調伝達関数(MTF)の値が30%以上である被写界深度が1.5~3.0mmである、
ロッドレンズアレイを提供する。
上記のロッドレンズアレイを備えた、光学機器を提供する。
上記のロッドレンズアレイと、
対象物をライン状に照明するライン状照明装置と、
前記対象物から反射した光が前記ロッドレンズアレイを透過して集光されるように配置されたライン状光センサと、を備えた、
イメージセンサを提供する。
物品を搬送するための搬送装置と、
前記物品を照明するための照明装置と、
イメージセンサと、
制御器と、を備え、
前記イメージセンサは、前記物品から反射した光を集光するための上記のロッドレンズアレイを備え、
前記搬送装置によって搬送される前記物品の画像情報を取得して前記制御器に送信し、
前記制御器は、前記画像情報に基づいて、前記物品の欠陥を特定して前記物品の合否を判定する、
検査装置を提供する。
モル%で示して、
40%≦SiO2≦65%
0%≦TiO2≦10%
0.1%≦MgO≦22%
0.15%≦ZnO≦15%
0.5%≦Li2O<4%
2%≦Na2O≦20%
0%≦B2O3≦20%
0%≦Al2O3≦10%
0%≦K2O≦3%
0%≦Cs2O≦3%
0%≦Y2O3≦5%
0%≦ZrO2≦2%
0%≦Nb2O5≦5%
0%≦In2O3≦5%
0%≦La2O3≦5%
0%≦Ta2O5≦5%、を含み、
CaO、SrO、及びBaOからなる群より選ばれる少なくとも2つを、それぞれ0.1モル%以上15モル%以下含み、
モル%で表示して、
2%≦MgO+ZnO、
0.07≦ZnO/(MgO+ZnO)≦0.93、
2.5%≦Li2O+Na2O<24%、及び
0%≦Y2O3+ZrO2+Nb2O5+In2O3+La2O3+Ta2O5≦11%の条件を満たす、
屈折率分布型ロッドレンズ用母材ガラス組成物を提供する。
屈折率分布型ロッドレンズの製造方法であって、
第一アルカリ金属元素の酸化物を含むガラス組成物からなるガラス素線を形成することと、
前記第一アルカリ金属元素とは異なる第二アルカリ金属元素を含む溶融塩に前記ガラス素線を浸漬して、前記ガラス素線中の前記第一アルカリ金属元素と前記溶融塩中の前記第二アルカリ金属元素とをイオン交換処理することにより、前記ガラス素線に屈折率分布を形成することと、を備え、
前記ガラス組成物は、モル%で示して、
40%≦SiO2≦65%
0%≦TiO2≦10%
0.1%≦MgO≦22%
0.15%≦ZnO≦15%
0.5%≦Li2O<4%
2%≦Na2O≦20%
0%≦B2O3≦20%
0%≦Al2O3≦10%
0%≦K2O≦3%
0%≦Cs2O≦3%
0%≦Y2O3≦5%
0%≦ZrO2≦2%
0%≦Nb2O5≦5%
0%≦In2O3≦5%
0%≦La2O3≦5%
0%≦Ta2O5≦5%、を含み、
前記ガラス組成物は、CaO、SrO、及びBaOからなる群より選ばれる少なくとも2つを、それぞれ0.1モル%以上15モル%以下含み、
前記ガラス組成物は、モル%で表示して、
2%≦MgO+ZnO、
0.07≦ZnO/(MgO+ZnO)≦0.93、
2.5%≦Li2O+Na2O<24%、及び
0%≦Y2O3+ZrO2+Nb2O5+In2O3+La2O3+Ta2O5≦11%の条件を満たす、
方法を提供する。
n(r)2=n0 2・{1-(√A・r)2+h4・(√A・r)4+h6・(√A・r)6+h8・(√A・r)8} 式(1)
n(r)=n0・{1-(A/2)・r2} 式(2)
SiO2は、ガラスの網目構造を形成する必須成分である。SiO2の含有率が40モル%未満では、イオン交換後に屈折率分布型ロッドレンズとしての光学特性を発現させるために必要な他の成分の含有率が相対的に大きくなって、失透が生じやすくなる。また、当該含有率が40モル%未満では、ガラス組成物としての化学的な耐久性が著しく低下する。一方、当該含有率が65モル%を超えると、他の成分、例えば屈折率分布を形成するためのアルカリ成分、屈折率増加成分、及び物性値調整成分など、の含有率が限定され、実用的なガラス組成物とすることが困難となる。このため、SiO2の含有率は、40モル%以上65モル%以下である。
TiO2は、ガラス組成物の屈折率を増大させる作用を有する必須成分である。母材ガラス組成物の屈折率を増大させることにより、当該ガラス組成物から得られた屈折率分布型ロッドレンズの中心屈折率を増大させることができる。また、TiO2の含有率を増加させることにより、屈折率分布型ロッドレンズにおける屈折率分布を、より理想的な状態に近づけることができ、解像度に優れる屈折率分布型ロッドレンズの製造が可能となる。TiO2の含有率が10モル%のときには、得られるレンズに基づく画像の解像度の低下は観察されないが、その含有率が1モル%未満のときには画像の解像度が明らかに低下して、実用的なレンズが得られない。一方、当該含有率が10モル%を超えると、着色が強くなることで色収差が大きくなり、実用的なレンズが得られない。そこで、画像の解像度を高めることができ、かつ、色収差が小さいレンズを得るために、TiO2の含有率は、1モル%以上10モル%以下である。TiO2の含有率は、望ましくは2モル%以上8モル%以下である。
MgOは、ガラス組成物の熔融温度を低下させ、イオン交換後における、レンズ中心部と周辺部との間の屈折率差(Δn)を大きくする作用を有する必須成分である。MgOの含有率が22モル%を超えると、失透が生じやすくなる。また、MgOの含有率が22モル%を超えると、その他の成分の含有率が過度に減少し、実用的なガラス組成物が得られない。このため、MgOの含有率は、0.1モル%以上22モル%以下である。十分な屈折率差を実現する観点から、MgOの含有率は、望ましくは2モル%以上である。MgOの含有率が2モル%以上であると、アルカリ土類金属酸化物(CaO、SrO、BaO)の含有率を、アルカリイオンの易動度をさらに低下させることを目的としてより適切に制御できる。すなわち、MgOの含有率は、望ましくは2モル%以上22モル%以下であり、より望ましくは2モル%以上16モル%以下である。
ZnOは、ガラス組成物及び屈折率分布型ロッドレンズの耐候性を向上させる作用を有する。本発明に係るガラス組成物において、ZnOは、MgOの一部を置換するために加えてもよい。ガラス組成物及び屈折率分布型ロッドレンズの耐候性を高める観点から、ZnOの含有率は、0.15モル%以上15モル%以下である。このとき、MgO及びZnOの含有率の合計(MgO+ZnO)が2モル%以上であるように、MgO及びZnOの含有率が調整される。加えて、MgO及びZnOの含有率の合計に対するZnOの含有率の比(ZnO/(MgO+ZnO)が、0.07≦ZnO/(MgO+ZnO)≦0.93となるように、MgO及びZnOの含有率が調整される。ガラス組成物及び屈折率分布型ロッドレンズの耐候性をより高める観点から、ZnOの含有率は、望ましくは3モル%以上15モル%以下である。この場合、MgO+ZnOが6モル%以上であってもよく、0.12≦ZnO/(MgO+ZnO)≦0.93の条件が満たされうる。耐失透性の観点から、ZnOの含有率は、望ましくは8モル%以下である。ガラス組成物及び屈折率分布型ロッドレンズの耐候性をさらに高める観点から、ZnOの含有率は、より望ましくは4モル%以上15モル%以下である。この場合、MgO+ZnOが6モル%以上であってもよく、MgO+ZnOが6モル%以上22モル%以下でありうる。MgO+ZnOは、15モル%以下であってもよい。また、ZnO/(MgO+ZnO)は、望ましくは0.07以上0.9以下であり、より望ましくは0.25以上0.85以下であり、さらに望ましくは0.25以上0.8以下であり、とりわけ望ましくは0.3以上0.8以下である。
Li2Oは、必須成分であり、本発明のガラス組成物をイオン交換して屈折率分布型ロッドレンズを得るために、最も重要な成分の一つである。従来、ガラス組成物におけるLi2Oの含有率が少ないと、イオン交換によって、十分な濃度分布、即ち十分な屈折率分布を発現できず、適切な屈折率分布型ロッドレンズを得ることができないと考えられていた。しかし、本発明者らは、Li2Oの含有率が4モル%以下であるガラス組成物であっても、所定の条件でイオン交換を行うことにより、適切な屈折率分布を有し、かつ、大きなDOFを有する屈折率分布型ロッドレンズを作製できることを新たに見出した。Li2Oの含有率が4モル%を超えると、得られる屈折率分布型ロッドレンズの開口角が大きくなりやすく、DOFが小さくなりやすい。Li2Oの含有率は、0.5モル%以上であり、望ましくは0.7モル%以上であり、より望ましくは1モル%以上である。また、Li2Oの含有率は、4モル%以下であり、望ましくは3.5モル%以下であり、より望ましくは3モル%以下であり、さらに望ましくは2モル%以下である。
Na2Oは、イオン交換の際に、いわゆる混合アルカリ効果によって、Liと、Liイオンを置換するイオン交換種のイオン(溶融塩中に含有されるイオン)とのイオン交換を助け、イオンの易動度を適度に保つ。イオン易動度を適度に保つことで、イオン交換速度を適度に調整でき、屈折率分布型ロッドレンズの光学特性を調整できる。ガラス組成物中のNa2Oの含有率が2モル%未満であると、ガラス成形時にガラスが硬くなるので、成形が困難となる。加えて、ガラスの溶融温度が著しく上昇し、レンズの作製が困難となる。また、イオンの易動度を適度に保つ効果を十分に得ることが難しい。一方、Na2Oの含有率が20%を超えると、ガラスの化学的耐久性が低下し、実用性に欠ける。したがって、Na2Oの含有率は、2モル%以上であり、望ましくは5モル%以上であり、より望ましくは10モル%以上である。また、Na2Oの含有率は、20モル%以下であり、望ましくは17モル%以下である。
上記の通り、ガラス組成物におけるLi2Oの含有率とNa2O含有率との合計(Li2O+Na2O)は、2.5モル%以上24モル%未満である。Li2O+Na2Oがこの範囲であると、このガラス組成物を用いて製造された屈折率分布型ロッドレンズによって良好な解像度の画像を得ることができる。Li2O+Na2Oは、望ましくは6モル%以上であり、より望ましくは10モル%以上である。
Na2Oの含有率に対するLi2Oの含有率の比(Li2O/Na2O)が大きいと、ガラス組成物を用いて製造された屈折率分布型ロッドレンズの解像力が向上することがある。一方、Li2O/Na2Oが過剰に大きい(例えば1.0以上)と、ガラス組成物を用いて製造された屈折率分布型ロッドレンズの開口角が大きくなり、そのDOFが小さくなる傾向にある。このため、Li2O/Na2Oは、例えば、0.2以下であり、望ましくは0.15以下であり、より望ましくは0.1以下である。
B2O3は、ガラスの網目構造を形成する任意成分であり、得られる屈折率分布型ロッドレンズの解像力及び開口角θをほとんど変化させることなく、ガラス組成物のガラス化を促進し、その粘性を調整する作用を有する。また、若干ではあるが、ガラス組成物のイオン交換速度を遅くする作用も有する。B2O3は、例えば、上述した各必須成分の含有率は本発明の範囲内であるが、組成物として見たときに一部の成分の含有率が相対的に大きくなり、ガラスとしての安定性が低下する(例えば失透を生じやすくなる)場合に、加えてもよい。B2O3の添加により、必須成分間の含有率の比率を変えることなく、相対的に大きくなった上記一部の成分の含有率を小さくすることができる。得られる屈折率分布型ロッドレンズの解像力及び開口角を変化させることなく添加できるB2O3の含有率は、例えば、20モル%以下である。このため、B2O3の含有率は、0モル%以上20モル%以下である。当該含有率は、望ましくは0モル%以上10モル%以下であり、ガラス組成物がB2O3を含有する場合、その含有率は望ましくは1モル%以上10モル%以下である。
屈折率分布型ロッドレンズ用母材ガラス組成物は、任意成分としてAl2O3を含んでいてもよく、その含有率は、0モル%以上10モル%以下である。
屈折率分布型ロッドレンズ用母材ガラス組成物において、SiO2、TiO2、及びB2O3の含有率の合計(SiO2+TiO2+B2O3)は、例えば41モル%以上70モル%以下であり、望ましくは50モル%以上70モル%以下である。
屈折率分布型ロッドレンズ用母材ガラス組成物は、イオン交換後に得られる屈折率分布型ロッドレンズの屈折率の調整、あるいは耐候性の向上を目的として、Y2O3、ZrO2、Nb2O5、In2O3、La2O3、及びTa2O5からなる群より選択される少なくとも1つの成分を含んでいてもよい。これらの成分の含有率の合計は0モル%以上11モル%以下であり、屈折率分布型ロッドレンズ用母材ガラス組成物がこれらの成分を含む場合、これらの成分の含有率の合計は、望ましくは0.2モル%以上6モル%以下である。また、これらの成分の含有率とZnOの含有率との合計が15モル%以下であることが望ましい。
Y2O3の含有率は、望ましくは0モル%以上5モル%以下である。
ZrO2の含有率は、望ましくは0モル%以上2モル%以下であり、屈折率分布型ロッドレンズ用母材ガラス組成物がZrO2を含む場合、その含有率は0.2モル%以上2モル%以下である。
K2O及びCs2Oは、混合アルカリ効果により、MgO、CaO、SrO、及びBaOと同様に、アルカリイオンの易動度を小さくする作用を有する任意成分である。K2O及びCs2Oの含有率のそれぞれは、例えば、0モル%以上3モル%以下である。屈折率分布型ロッドレンズ用母材ガラス組成物の耐水性を高める観点から、Cs2Oの含有率は、望ましくは2モル%未満であり、より望ましくは0モル%以上1モル%以下であり、さらに望ましくは0.5モル%以下である。屈折率分布型ロッドレンズ用母材ガラス組成物の耐水性を高める観点から、屈折率分布型ロッドレンズ用母材ガラス組成物は、Cs2Oを実質的に含まないことが望ましい。本明細書において「実質的に含まない」とは、当該成分の含有率が0.1モル%未満であることを意味する。
屈折率分布型ロッドレンズ用母材ガラス組成物において、その他の成分として、GeO2を含んでいてもよい。GeO2の含有率は0モル%以上10モル%以下でありうる。また、屈折率分布型ロッドレンズ用母材ガラス組成物は、添加物として、SnO2、As2O3、及びSb2O3からなる群より選択される少なくとも1つを含んでいてもよい。SnO2、As2O3、及びSb2O3の含有率のそれぞれは、0モル%以上1モル%以下でありうる。屈折率分布型ロッドレンズ用母材ガラス組成物は、実質的に上記の成分からなってもよい。この場合、ガラス組成物が含む各成分の含有率、ならびに各成分の含有率間の関係(合計及び含有比)は、上述した各条件を満たす。本明細書において、「実質的に~からなる」とは、含有率にして0.1モル%未満の不純物の含有を許容することを意味する。
屈折率分布型ロッドレンズ用母材ガラス組成物は、実質的に鉛(代表的な化合物としてはPbO)を含まない。また、屈折率分布型ロッドレンズ1bも実質的に鉛を含まない。
(I)上記の屈折率分布型ロッドレンズ用母材ガラス組成物からなるガラス素線1aを形成する。
(II)屈折率分布型ロッドレンズ用母材ガラス組成物に含まれる第一アルカリ金属元素Qとは異なる第二アルカリ金属元素Rを含む溶融塩Sにガラス素線1aを浸漬して、ガラス素線1a中の第一アルカリ金属元素Qと溶融塩中の第二アルカリ金属元素Rとをイオン交換処理することにより、ガラス素線1aに屈折率分布を形成する。
E(x,y)=E0・√{1-(x2+y2)/X0 2} 式(3)
ΔE(0,0)=(Emax-Emin)/Emin 式(4)
表1に示す組成となるようにガラス原料を混合し、混合物を熔融して、実施例1~4、比較例1~3、及び参考例1に係る熔融ガラス(ガラス組成物)を得た。表1における数値はモル%を示す。各ガラス組成物における所定の成分のモル%基準の含有率の関係を表2に示す。各熔融ガラスを紡糸してファイバー状に成形し、得られたガラスファイバーを所定の長さで切断し、切断面を研磨した。これにより、各実施例、各比較例、及び参考例1に係るガラス素線を得た。各ガラス素線の直径(線径)は、560μmであった。次に、各ガラス素線を構成するガラス組成物のガラス転移温度付近に加熱した硝酸ナトリウム溶融塩に各ガラス素線を浸漬し、イオン交換処理を行った。これにより、各ガラス素線に屈折率分布を形成した。その後、イオン交換処理後のガラス素線を1周期長に切断し、切断した端面を研磨して、各実施例、各比較例、及び参考例1に係る屈折率分布型ロッドレンズを得た。
上記のように作製した屈折率分布型ロッドレンズを適当な長さに切断して得られたサンプルの切断面を鏡面研磨した。次に、このサンプルの一方の端面に格子状のパターンが記載されたシートを接触させ、サンプルの他方の端面からそのパターンの正立像を観察して、各屈折率分布型ロッドレンズの周期長Pを決定した。次に、√A=2π/Pの関係に基づいて、各屈折率分布型ロッドレンズの屈折率分布係数√Aを決定した。次に、屈折率分布係数√A、屈折率分布型ロッドレンズの半径r0、及びイオン交換処理前のガラス素線の屈折率Ncの値と、下記の式(5)に示す関係に基づいて、各屈折率分布型ロッドレンズの開口角θを決定した。結果を表3に示す。なお、屈折率Ncは、1.60であり、各屈折率分布型ロッドレンズの光軸における屈折率n0とみなすことができた。
θ=sin-1{√A・Nc・r0} 式(5)
JOGIS 06-2009に準拠して各ガラス組成物の耐水性を評価した。各ガラス組成物から作製した試料を沸騰水中に1時間置いて減量率を測定し、減量率に応じて各ガラス組成物の耐水性を評価した。JOGIS 06-2009における耐水性は、1級から6級に区分されており、耐水性が1級であるガラスは、耐候性、特に水分に対して優れた耐久性を持つといえる。
各屈折率分布型ロッドレンズに対し、その側面にノイズ光の除去を目的に所定の処理(凹凸形成処理)を施した。その後、複数の各屈折率分布型ロッドレンズを2次元に配列して、図4に示すような複数の屈折率分布型ロッドレンズが2列に配列されたロッドレンズアレイを作製した。このようにして、各実施例、各比較例、及び参考例1に係るロッドレンズアレイを得た。1mmの間隔に6組の黒白のラインペアを有するラインパターンを準備した。すなわち、このラインパターンは、6本/mmの空間周波数を有していた。ハロゲンランプからの出射光をカラーフィルタ(透過中心波長:530nm、半値全幅15nm)を通過させてラインパターンに照射した。図1に示すように、正立等倍像のMTFの値が最大となる位置に、ラインパターン、各ロッドレンズアレイ、及び受光素子を配置した。このときの、ロッドレンズアレイと受光素子との間の距離をレンズ-結像位置間距離Loと決定した。結果を表3に示す。その後、ロッドレンズアレイと受光素子との間の距離を一定にしたまま、ラインパターンを光軸方向に移動させながら、各位置でMTFの値を求め、ΔLとMTFの値との関係からMTFの値が30%以上となる作動距離の範囲を特定した。そのうえで、作動距離の最大値から最小値を差し引いて、各屈折率分布型ロッドレンズの被写界深度(DOF)を決定した。結像距離TC、視野半径X0、及び重なり度Mとともに、結果を表3に示す。また、図15に、実施例2、比較例3、及び参考例1に係るロッドレンズアレイにおける、MTFの値とΔLとの関係を示す。
表3に示すような各パラメータを有する各実施例、各比較例、及び参考例1に係るロッドレンズアレイについて光量ムラを求めた。表3の各パラメータを有するロッドレンズを、図4に示すように二列に配列したものをモデルとして考えた。図16A及び図16Bは、光量ムラを算出するための光学系を模式的に示している。図16A及び図16Bにおいて、ロッドレンズ10は、各実施例、各比較例、及び参考例1に係るロッドレンズアレイにおける屈折率分布型ロッドレンズに相当している。ロッドレンズアレイのMTFが最大となるモデルを考え、結像距離TC及びレンズ-結像位置間距離Liに関し、表3に示した値に従って、屈折率分布型ロッドレンズを配置した。図16A及び図16Bにおいて、x方向は、ロッドレンズアレイの主走査方向であり、y方向は、ロッドレンズアレイの副走査方向である。y=0を表す直線はロッドレンズアレイの軸線であり、この直線上において、副走査方向に二列に配列されたロッドレンズの中心からの垂線の長さが等しい。yの値は、y=0の軸線からシフトした距離である。
光量ムラの算出と同様に、図16A及び図16Bに示す光学系に基づいて、実施例1~3及び比較例4に係るロッドレンズアレイにおいて、複数のΔLとyの組について光量ムラを求めた。結果を表5及び6に示す。ΔLとyの所定の範囲内の光量ムラΔEの最大値が光量ムラ深度ΔE(y,ΔL)である。なお、比較例4に係るロッドレンズアレイの光学的パラメータは以下の通りである。
中心屈折率n0=1.450
光学定数√A=0.1500mm-1
レンズ長Z0=27.75mm
原稿等-レンズ間距離LO=8.211mm
視野半径X0=0.8187mm
重なり度M=0.9097
Claims (17)
- 正立等倍像を形成するロッドレンズアレイであって、
光軸が互いに平行になるように配列された、複数の屈折率分布型ロッドレンズを備え、
前記複数の屈折率分布型ロッドレンズのそれぞれは、半径方向に屈折率分布を有し、
前記屈折率分布型ロッドレンズの半径をr0と表し、前記屈折率分布型ロッドレンズの中心の屈折率である中心屈折率をnoと表し、前記屈折率分布型ロッドレンズの屈折率分布定数を√Aと表し、前記屈折率分布型ロッドレンズの中心からの距離rにおける屈折率を、n(r)=n0・{1-(A/2)・r2}と近似したときに、sin-1(n0・√A・r0)で表される開口角θが3~6°であり、
前記ロッドレンズアレイの結像距離は、45~75mmであり、
6本/mmの空間周波数における変調伝達関数(MTF)の値が30%以上である被写界深度が1.5~3.0mmである、
ロッドレンズアレイ。 - 前記屈折率分布定数√Aは、0.130~0.230mm-1であり、
前記中心屈折率noは、1.51~1.65である、請求項1に記載のロッドレンズアレイ。 - 前記MTFの最大値は、60%以上である、請求項1又は2に記載のロッドレンズアレイ。
- 前記MTFの値が最大となるレンズ-結像位置間距離は、13~28mmである、請求項1~3のいずれか1項に記載のロッドレンズアレイ。
- 前記ロッドレンズアレイの配列ピッチを2Rと表し、視野半径をX0と表したときに、X0/2Rで表される重なり度Mは、1.4~3.6である、請求項1~4のいずれか1項に記載のロッドレンズアレイ。
- 前記正立等倍像の結像面と、前記屈折率分布型ロッドレンズの中心軸に平行な方向に沿って前記屈折率分布型ロッドレンズの端面を見たときに副走査方向における前記ロッドレンズアレイの一端及び他端から等距離にある平面との交線を基準線LRと表したとき、基準線LRにおける光量ムラΔE(0,0)が6%以下である、請求項1~5のいずれか1項に記載のロッドレンズアレイ。
- 前記正立等倍像の結像面と、前記屈折率分布型ロッドレンズの中心軸に平行な方向に沿って前記屈折率分布型ロッドレンズの端面を見たときに副走査方向における前記ロッドレンズアレイの一端及び他端から等距離にある平面との交線を基準線LRと表したとき、
前記副走査方向に前記基準線LRから0~0.5mm離れた前記結像面の範囲における光量ムラΔE(y,0)は、12%以下である、請求項1~6のいずれか1項に記載のロッドレンズアレイ。 - 前記正立等倍像の結像面と、前記屈折率分布型ロッドレンズの中心軸に平行な方向に沿って前記屈折率分布型ロッドレンズの端面を見たときに副走査方向における前記ロッドレンズアレイの一端及び他端から等距離にある平面との交線を基準線LRと表したとき、
前記副走査方向に前記基準線から0~0.5mm離れており、かつ、前記屈折率分布型ロッドレンズの光軸に平行な方向における物体面の位置が前記MTFの値が最大となるときの物体面の位置から-1.5mm~1.5mmずれているときの光量ムラの最大値である光量ムラ深度ΔE(y,ΔL)は、25%以下である、請求項1~7のいずれか1項に記載のロッドレンズアレイ。 - 前記屈折率分布型ロッドレンズの前記中心におけるガラス組成が、モル%で表して、
40%≦SiO2≦65%
0%≦TiO2≦10%
0.1%≦MgO≦22%
0.15%≦ZnO≦15%
0.5%≦Li2O<4%
2%≦Na2O≦20%
0%≦B2O3≦20%
0%≦Al2O3≦10%
0%≦K2O≦3%
の条件を満たす、請求項1~8のいずれか1項に記載のロッドレンズアレイ。 - 請求項1~9のいずれか1項に記載のロッドレンズアレイを備えた、光学機器。
- 請求項1~9のいずれか1項に記載のロッドレンズアレイと、
対象物をライン状に照明するライン状照明装置と、
前記対象物から反射した光が前記ロッドレンズアレイを透過して集光されるように配置されたライン状光センサと、を備えた、
イメージセンサ。 - 前記ライン状光センサは、副走査方向に配列され、R、G、Bのそれぞれに対応するカラーフィルタを備えた、複数のセグメントを有し、
前記複数のセグメントは、前記ロッドレンズアレイの主走査方向に配列されている、
請求項11に記載のイメージセンサ。 - 請求項1~9のいずれか1項に記載のロッドレンズアレイを有する書込ヘッドを備えた、プリンタ。
- 物品を搬送するための搬送装置と、
前記物品を照明するための照明装置と、
イメージセンサと、
制御器と、を備え、
前記イメージセンサは、前記物品から反射した光を集光するための請求項1~9のいずれか1項に記載のロッドレンズアレイを備え、
前記搬送装置によって搬送される前記物品の画像情報を取得して前記制御器に送信し、
前記制御器は、前記画像情報に基づいて、前記物品の欠陥を特定して前記物品の合否を判定する、
検査装置。 - モル%で示して、
40%≦SiO2≦65%
0%≦TiO2≦10%
0.1%≦MgO≦22%
0.15%≦ZnO≦15%
0.5%≦Li2O<4%
2%≦Na2O≦20%
0%≦B2O3≦20%
0%≦Al2O3≦10%
0%≦K2O≦3%
0%≦Cs2O≦3%
0%≦Y2O3≦5%
0%≦ZrO2≦2%
0%≦Nb2O5≦5%
0%≦In2O3≦5%
0%≦La2O3≦5%
0%≦Ta2O5≦5%、を含み、
CaO、SrO、及びBaOからなる群より選ばれる少なくとも2つを、それぞれ0.1モル%以上15モル%以下含み、
モル%で表示して、
2%≦MgO+ZnO、
0.07≦ZnO/(MgO+ZnO)≦0.93、
2.5%≦Li2O+Na2O<24%、及び
0%≦Y2O3+ZrO2+Nb2O5+In2O3+La2O3+Ta2O5≦11%の条件を満たす、
屈折率分布型ロッドレンズ用母材ガラス組成物。 - 日本光学硝子工業会規格(JOGIS)06-2009に準拠して決定される耐水性が1級である、請求項14に記載の屈折率分布型ロッドレンズ用母材ガラス組成物。
- 屈折率分布型ロッドレンズの製造方法であって、
第一アルカリ金属元素の酸化物を含むガラス組成物からなるガラス素線を形成することと、
前記第一アルカリ金属元素とは異なる第二アルカリ金属元素を含む溶融塩に前記ガラス素線を浸漬して、前記ガラス素線中の前記第一アルカリ金属元素と前記溶融塩中の前記第二アルカリ金属元素とをイオン交換処理することにより、前記ガラス素線に屈折率分布を形成することと、を備え、
前記ガラス組成物は、モル%で示して、
40%≦SiO2≦65%
0%≦TiO2≦10%
0.1%≦MgO≦22%
0.15%≦ZnO≦15%
0.5%≦Li2O<4%
2%≦Na2O≦20%
0%≦B2O3≦20%
0%≦Al2O3≦10%
0%≦K2O≦3%
0%≦Cs2O≦3%
0%≦Y2O3≦5%
0%≦ZrO2≦2%
0%≦Nb2O5≦5%
0%≦In2O3≦5%
0%≦La2O3≦5%
0%≦Ta2O5≦5%、を含み、
前記ガラス組成物は、CaO、SrO、及びBaOからなる群より選ばれる少なくとも2つを、それぞれ0.1モル%以上15モル%以下含み、
前記ガラス組成物は、モル%で表示して、
2%≦MgO+ZnO、
0.07≦ZnO/(MgO+ZnO)≦0.93、
2.5%≦Li2O+Na2O<24%、及び
0%≦Y2O3+ZrO2+Nb2O5+In2O3+La2O3+Ta2O5≦11%の条件を満たす、
方法。
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US20230258846A1 (en) | 2023-08-17 |
CA3188321A1 (en) | 2021-12-30 |
TW202206934A (zh) | 2022-02-16 |
EP4174533A1 (en) | 2023-05-03 |
EP4174533A4 (en) | 2024-06-12 |
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