WO2006025505A1 - 不連続な面を有する光学素子を含む結像光学系 - Google Patents
不連続な面を有する光学素子を含む結像光学系 Download PDFInfo
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- WO2006025505A1 WO2006025505A1 PCT/JP2005/016040 JP2005016040W WO2006025505A1 WO 2006025505 A1 WO2006025505 A1 WO 2006025505A1 JP 2005016040 W JP2005016040 W JP 2005016040W WO 2006025505 A1 WO2006025505 A1 WO 2006025505A1
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B9/00—Optical objectives characterised both by the number of the components and their arrangements according to their sign, i.e. + or -
- G02B9/12—Optical objectives characterised both by the number of the components and their arrangements according to their sign, i.e. + or - having three components only
-
- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B13/00—Optical objectives specially designed for the purposes specified below
- G02B13/001—Miniaturised objectives for electronic devices, e.g. portable telephones, webcams, PDAs, small digital cameras
- G02B13/0015—Miniaturised objectives for electronic devices, e.g. portable telephones, webcams, PDAs, small digital cameras characterised by the lens design
- G02B13/002—Miniaturised objectives for electronic devices, e.g. portable telephones, webcams, PDAs, small digital cameras characterised by the lens design having at least one aspherical surface
- G02B13/0035—Miniaturised objectives for electronic devices, e.g. portable telephones, webcams, PDAs, small digital cameras characterised by the lens design having at least one aspherical surface having three lenses
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B27/00—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
- G02B27/42—Diffraction optics, i.e. systems including a diffractive element being designed for providing a diffractive effect
- G02B27/4205—Diffraction optics, i.e. systems including a diffractive element being designed for providing a diffractive effect having a diffractive optical element [DOE] contributing to image formation, e.g. whereby modulation transfer function MTF or optical aberrations are relevant
- G02B27/4211—Diffraction optics, i.e. systems including a diffractive element being designed for providing a diffractive effect having a diffractive optical element [DOE] contributing to image formation, e.g. whereby modulation transfer function MTF or optical aberrations are relevant correcting chromatic aberrations
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B3/00—Simple or compound lenses
- G02B3/02—Simple or compound lenses with non-spherical faces
- G02B3/08—Simple or compound lenses with non-spherical faces with discontinuous faces, e.g. Fresnel lens
-
- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B9/00—Optical objectives characterised both by the number of the components and their arrangements according to their sign, i.e. + or -
- G02B9/04—Optical objectives characterised both by the number of the components and their arrangements according to their sign, i.e. + or - having two components only
- G02B9/10—Optical objectives characterised both by the number of the components and their arrangements according to their sign, i.e. + or - having two components only one + and one - component
Definitions
- Imaging optical system including an optical element having a discontinuous surface
- the present invention relates to an imaging optical system such as a digital camera, a mobile phone with an imaging function, a lens for a solid-state imaging device such as a scanner, and a scanning lens such as a laser printer.
- an imaging optical system such as a digital camera, a mobile phone with an imaging function, a lens for a solid-state imaging device such as a scanner, and a scanning lens such as a laser printer.
- the refractive power in the direction perpendicular to the optical axis is rotationally asymmetric in the optical path between the imaging system and the image reading means.
- an image reading apparatus that satisfactorily corrects astigmatism by providing an optical member (for example, JP-A-5-14602).
- an image reading imaging lens for forming image information of the original on the image reading device, and at least one of the plurality of surfaces constituting the imaging lens is rotated with respect to the optical axis.
- An imaging lens having asymmetric refractive power and an image reading apparatus using the same are proposed (for example, Japanese Patent Laid-Open No. 2000-171705).
- An imaging lens having at least one Fresnel surface has also been proposed (for example, Japanese Patent Laid-Open No. 2002-55273) so that it can be downsized while suppressing curvature of field.
- the point force to reduce astigmatism or curvature of field is not necessarily a sufficient function.
- a meridional image plane that is a surface on which meridian rays are imaged and a spherical missing image surface that is a surface on which spherical missing rays are imaged. It is desirable to make it as close as possible to the ideal image plane (designed image plane), which is a plane perpendicular to the optical axis.
- FIG. 8 shows the positions of the meridional image plane and the spherical image plane of the imaging optical system in the case of 1 to 3 lenses.
- the coordinate on the horizontal axis indicates the position in the optical axis direction
- the coordinate on the vertical axis indicates the position in the image height direction. Since a lens that is rotationally symmetric with respect to the optical axis is used, if a position in the image height direction with respect to a position in the optical axis direction is determined, a rotationally symmetric meridian image plane and a spherical image plane are determined.
- FIGS. 5 to 7 show optical path diagrams of the above-described imaging optical system having one to three lenses.
- the imaging optical system also includes one lens and a glass plate force.
- the light that has entered through the aperture of the object passes through the first lens 1 and the glass plate 4 and reaches the sensor surface 5.
- the entrance surface and the exit surface of the first lens 1 and the entrance surface and the exit surface of the glass plate 4 are referred to as second to fifth surfaces, respectively.
- the second and third surfaces are defined by a single aspheric formula.
- the third side has DOE.
- the imaging optical system is composed of two lenses and a glass plate force.
- the light incident on the object force through the diaphragm passes through the first lens 1, the second lens 2, and the glass plate 4 to reach the sensor surface.
- the entrance surface and exit surface of the first lens 1, the entrance surface and exit surface of the second lens 2, and the entrance surface and exit surface of the glass plate 4 are referred to as the second to fifth, eighth, and ninth surfaces, respectively.
- the second through fifth surfaces are defined by a single aspheric formula.
- the A diffraction element a diffraction grating, DOE for correcting chromatic aberration is provided on the fifth surface, that is, the exit surface of the second lens 2.
- the imaging optical system includes three lenses and a glass plate.
- the light incident on the object force through the diaphragm passes through the first lens 1, the second lens 2, the third lens 3, and the glass plate 4 and reaches the sensor surface 5.
- the entrance surface and the exit surface of the first lens 1, the entrance surface and the exit surface of the second lens 2, the entrance surface and the exit surface of the third lens 3, and the entrance surface and the exit surface of the glass plate 4 are respectively 2nd to 9th. It is called a surface.
- the second through seventh surfaces are defined by a single aspheric expression.
- a diffraction element diffraction grating, DOE for correcting chromatic aberration is provided on the fifth surface, that is, the exit surface of the second lens 2.
- the curve (dotted line) and the curve (solid line) indicating the spherical image plane are curved around the straight line (vertical axis) indicating the ideal image plane. That is, the curve indicating the meridian image plane (dotted line) and the curve indicating the spherical image plane (solid line) have convex portions on the image side and the object side of the straight line indicating the ideal image plane (vertical axis). In particular, the curve (dotted line) indicating the meridional image plane has prominent protrusions on the image side and the object side of the straight line (vertical axis) indicating the ideal image plane.
- the imaging optical system of the present invention includes at least one lens, and at least one surface of the at least one lens is divided into at least one band-like region surrounding the periphery of the optical axis and a central region including the optical axis. is doing.
- the first region of the meridional image plane on which the meridian ray passing through one of the plurality of regions forms an image is displaced from the reference image plane of the imaging optical system to the image side.
- the second area of the meridional image plane on which the meridional ray passing through another area forms an image is displaced toward the reference image surface force of the imaging optical system, the first and second areas are the reference.
- a step is provided at the boundary between at least one belt-like region and the central region so as to approach the image plane
- the imaging optical system of the present invention by adjusting the position direction and size of the step at the boundary between at least one belt-like region and the central region while keeping the number of lenses constant, The meridian image plane can be brought closer to an ideal image plane perpendicular to the optical axis.
- the imaging optical system of the present invention since the imaging optical system of the present invention has the above-mentioned characteristics, it has conventionally been a problem of curvature of field and Z or astigmatism, such as a digital camera, a mobile phone with an imaging function, and a scanner. Widely used in imaging optical systems such as imaging element lenses and scanning lenses such as laser printers.
- the size of the step is determined by the magnitude of the displacement of the reference image plane force of the first and second regions, and the direction of the step is determined by the first and second directions.
- the direction of displacement of the region from the reference image plane, whether the surface with the step is the image side or the object side of the lens, and whether the surface with the step is concave or convex is determined. Therefore, the position, direction and size of the step can be appropriately determined from the meridional image plane of the imaging optical system.
- the shapes of the surfaces constituting at least one belt-like region and the central region are individually determined. Therefore, the shapes of the meridional image plane and the spherical image plane can be adjusted by individually adjusting the shapes of the surfaces constituting at least one belt-like region and the central region.
- a surface constituting a central region including at least one band-shaped region and an optical axis is expressed by a definition formula having an origin at the intersection of each surface and the optical axis.
- a surface constituting a central region including at least one band-shaped region and an optical axis is expressed by a definition formula having an origin at the intersection of each surface and the optical axis.
- the surfaces constituting at least one belt-like region and the central region are defined by an aspherical expression. Therefore, the meridional image plane and the spherical image plane are obtained by individually adjusting the shape of the surface by individually adjusting the aspherical coefficients of the surfaces constituting at least one belt-like region and the central region. Can be adjusted.
- the slope of the step surface at the boundary between the central region and the strip region or the plurality of strip regions is determined as a function of the angle of the light beam passing through the boundary portion. Therefore, the effect of the step discontinuity on the aberration can be mitigated by bringing the surface inclination closer to the angle of the light ray passing through the boundary portion.
- the minimum amount of light incident on the step surface is determined so that the slope is between the angle and the maximum angle. Therefore, the effect of the step discontinuity on the aberration can be mitigated by bringing the inclination of the surface closer to the angle of the light ray passing through the boundary portion.
- the step surface at the boundary between the central region and the strip region or the plurality of strip regions is parallel to the optical axis
- the average of the light incident on the step surface The inclination of the step surface with respect to the optical axis is determined so as to have an inclination of the angle. Therefore, the effect of the step discontinuity on the aberration can be mitigated by bringing the surface inclination closer to the angle of the light ray passing through the boundary portion.
- At least one belt-like region and the central region are defined by a circle centered on a point on the optical axis. Therefore, the boundary of the region can be determined simply by determining the radius of the circle that forms the periphery of the region.
- a diffraction element is provided on at least one surface of at least one optical element. Therefore, chromatic aberration correction can be performed using the effect of the negative Abbe number of the diffraction element.
- at least one belt-like region and a central region are provided on the most image side surface. Therefore, the shape of the meridian image plane can be easily adjusted.
- the imaging optical system of the present invention includes at least one lens, and at least one surface of at least one lens is divided into at least one band-like region surrounding the periphery of the optical axis and a central region including the optical axis. is doing.
- the meridional image plane region on which the meridian ray passing through at least one of the band-shaped region and the central region forms an image is a reference image surface force image of the imaging optical system.
- the imaging optical system of the present invention by adjusting the position direction and the size of the step at the boundary between at least one belt-like region and the central region while keeping the number of lenses constant, The meridian image plane can be brought closer to an ideal image plane perpendicular to the optical axis.
- the imaging optical system of the present invention since the imaging optical system of the present invention has the above-mentioned characteristics, it has conventionally been a problem of curvature of field and Z or astigmatism, such as a digital camera, a mobile phone with an imaging function, and a scanner. Widely used in imaging optical systems such as imaging element lenses and scanning lenses such as laser printers.
- the size of the step is determined by the magnitude of the displacement of the reference image plane force in the meridional image plane region, and the direction of the step is determined in the meridional image plane region.
- the direction of displacement from the reference image plane, whether the surface with the step is the image side or the object side of the lens, and whether the surface with the step is concave or convex are determined. Therefore, the position, direction and size of the step can be appropriately determined from the meridional image plane of the imaging optical system.
- the shapes of the surfaces constituting at least one belt-like region and the central region are individually determined. Therefore, the shapes of the meridional image plane and the spherical image plane can be adjusted by individually adjusting the shapes of the surfaces constituting at least one belt-like region and the central region.
- FIG. 1 shows an optical path diagram of an imaging optical system (Numerical Example 1) according to an embodiment of the present invention.
- FIG. 2 shows aberration diagrams of the imaging optical system (Numerical Example 1) according to one embodiment of the present invention.
- FIG. 3 shows an optical path diagram of an imaging optical system (Numerical Example 2) according to another embodiment of the present invention.
- FIG. 4 is an aberration diagram of an imaging optical system (Numerical Example 2) according to another embodiment of the present invention.
- FIG. 5 shows an optical path diagram of a conventional imaging optical system (conventional example 1) having a single lens configuration.
- FIG. 6 shows an optical path diagram of a conventional two-lens imaging optical system (conventional example 2).
- FIG. 7 shows an optical path diagram of a conventional imaging optical system (Comparative Example 1) having a three-lens configuration.
- FIG. 8 is an aberration diagram of a conventional imaging optical system.
- FIG. 9 shows aberration diagrams of the imaging optical system of Comparative Example 1.
- FIG. 10 shows an optical path diagram of a conventional imaging optical system (Comparative Example 2) having two lenses.
- FIG. 11 shows aberration diagrams of the imaging optical system of Comparative Example 2.
- FIG. 12 shows aberration diagrams of the image forming optical system according to Numerical Example 3.
- FIG. 13 is an aberration diagram of the image forming optical system according to Numerical Example 4.
- the discontinuous boundaries of the present invention will be described.
- the structure of the step surface will be described. Flare is generated by light rays incident on the step surface.
- the step surface is parallel to the optical axis, the light on the step surface will have an inclination between the minimum and maximum angles of light incident on the step surface. It is preferable to define an inclination with respect to the axis.
- the inclination of the step surface with respect to the optical axis may be determined so that the average angle of light incident on the step surface is inclined.
- FIG. 1 shows an optical path diagram of the imaging optical system of Numerical Example 1.
- the imaging optical system of Numerical Example 1 is composed of three lenses and a glass plate cover.
- Light incident from the object through the diaphragm passes through the first lens 1, the second lens 2, the third lens 3, and the glass plate 4 and reaches the sensor surface 5.
- the entrance surface and exit surface of the first lens 1, the entrance surface of the second lens 2, and The exit surface, the entrance surface and exit surface of the third lens 3, and the entrance surface and exit surface of the glass plate 4 are referred to as second to ninth surfaces, respectively.
- the second through sixth surfaces are each defined by a single aspherical expression.
- a diffraction element (diffraction grating, DOE) for correcting chromatic aberration is provided on the fifth surface, that is, the exit surface of the second lens 2.
- the seventh surface, that is, the exit surface of the third lens 3 is an astigmatism compensation surface, that is, a surface provided with at least one band-like region surrounding the periphery of the optical axis and a central region including the optical axis. Details of the seventh aspect are explained below.
- Fig. 9 showing an enlarged view of the aberration of Comparative Example 1 described above, the curvature of the meridional image plane is examined.
- the dotted line indicating the meridional image plane is in the order from the side closer to the optical axis, a convex portion directed toward the image side, a convex portion directed toward the object side, and a convex portion directed toward the image side, and three convex portions.
- the peaks of the convex portions are located at image heights l.O (mm), 2.0 (mm), and 2.5 (mm).
- the image heights at which the defocus (defocus from the designed image plane) is 0 (mm) are the image heights 0 (mm), 1.65 (mm), and 2.2 (mm).
- a discontinuous boundary is provided on the seventh surface so that the dotted line indicating the meridional image plane approaches the designed image plane position. Therefore, the position on the meridional image plane corresponding to the discontinuous boundary on the 7th surface is obtained.
- the discontinuous boundary is, for example, at the image height corresponding to the peak of the convex part of the curve indicating the position where the meridian ray condensing at the image height where the defocus is 0 (mm) passes through the 7th surface. It may be the middle position where the condensed meridian rays pass through the 7th surface.
- a meridian ray condensed at an image height where defocus is 0 (mm) may be a position where the seventh surface passes.
- the meridian rays that converge to the image height corresponding to the peak of the convex portion directed toward the image side and the image height corresponding to the peak of the convex portion directed toward the object side and the position where the meridian ray that passes through the seventh surface is concentrated. This is the intermediate position between the shining meridian rays passing through the 7th surface.
- the central region including the optical axis is moved in the optical axis direction, the paraxial calculation becomes deficient. Therefore, the central region including the optical axis is fixed and used as a reference.
- the discontinuous boundary around the central region including the optical axis is halfway between the image height 0 (mm) and the first curvature of field 1.0 (mm) on the meridional image plane. Determined by the intersection of the meridian rays and the surface focused at an image height of 0.5 mm
- the next discontinuous boundary toward the outside converges at an image height of 1.65 (mm) where the defocus is 0 (mm) next to the image height of 0 (mm) on the meridional image plane. Determined by the intersection of the meridian ray and the surface.
- the next discontinuous boundary toward the outside is an image height of 2.2 (mm), where the defocus is 0 (mm) next to the image height of 1.65 (mm) on the meridional image plane. Determined by the intersection of the condensed meridian ray and the surface.
- the intersection of the meridian ray focused on the image height of 0.5 (mm) and the surface is a distance of 0.24 (mm) in the optical axis force.
- the intersection of the meridian ray and the surface that converges to an image height of 1.65 (mm) is also a distance of 0.83 (mm) in the optical axis force.
- the intersection of the meridian ray and the surface that converges to an image height of 2.2 (mm) is a distance of 1.13 (mm) from the optical axis.
- the seventh surface is a composite surface connected by the discontinuous boundaries defined above.
- the seventh surface of the present embodiment is expressed by the following equation. That is, the optical axis is z, the coordinates of the plane perpendicular to the optical axis are represented by x, y, k is a constant that determines the shape of the quadratic curve, c is the central curvature, A is the correction factor, j is the central region and It is an identification number of the surrounding belt-like area, and the center area is set to 1 from the inside with the center area as 1, and the center shift amount d is determined on the basis of the origin on the optical axis of the center area.
- the surface representing one band is a quadratic curve
- the seventh surface of one embodiment of the present invention is expressed by a plurality of curves indicated by the identification number j for each of the central region and the surrounding belt-like regions.
- the seventh surface of Comparative Example 1 Since it is not divided into a band and a surrounding band, it is represented by a single curve with a center shift of zero.
- the expressions indicating the shapes of a plurality of curves having discontinuous boundaries are the same.
- the discontinuous boundary is set as a step, and the step is provided by the center shift amount d.
- the lens thickness decreases and the center shift amount d is-.
- the lens thickness increases and the center shift amount d becomes +.
- a step is provided on the image side of the lens, and the shape of the lens is concave.
- the lens thickness increases and the center shift amount d becomes +. If the image plane is to be corrected in the + direction when the focus shift amount is, the center shift amount d is-.
- the center shift amount d of the center region is set to OO (mm).
- the center shift amount d of the outer belt-like region is 0.02 (mm ), 0.02 (mm).
- the center shift amount of the outer belt-like region is set to -0.02 (mm) because the focus shift amount expected to occur in this surface region is -0.02 (mm).
- the center shift amount d of the outermost strip region is OO (mm) because the shape of the meridional image plane is not changed by the center shift amount in the outermost strip region.
- FIG. 2 shows aberration diagrams of the imaging optical system of Numerical Example 1. Compared to the aberration diagram of Comparative Example 1 in FIG. 9, the curve representing the meridional image plane indicated by the dotted line in the diagram on the left side of FIG. 2 approaches the image plane position and the astigmatism is also reduced.
- the expressions representing the shapes of a plurality of curves having discontinuous boundaries on the seventh surface are the same.
- the shape of multiple curves on the seventh surface may be determined individually.
- the constant kj which determines the shape of the quadratic curve so that the meridional image plane and the spherical image plane in the diagram on the left side of Fig. 2 are close to the designed image plane (vertical axis in Fig. 2), the center
- FIG. 3 shows an optical path diagram of the imaging optical system of Numerical Example 2.
- the imaging optical system of Numerical Example 2 is composed of two lenses and a glass plate cover. Light incident from the object through the diaphragm passes through the first lens 1, the second lens 2, and the glass plate 4 and reaches the sensor surface 5.
- the entrance surface and exit surface of the first lens 1, the entrance surface and exit surface of the second lens 2, and the entrance surface and exit surface of the glass plate 4 are referred to as second to seventh surfaces, respectively.
- the second through fourth surfaces are each defined by a single aspheric formula.
- a diffraction element (diffraction grating, DOE) for correcting chromatic aberration is provided on the third surface, that is, the exit surface of the first lens 2.
- the fifth surface that is, the exit surface of the second lens 2 is an astigmatism correction surface, that is, a surface provided with at least one band-like region surrounding the periphery of the optical axis and a central region including the optical axis. Details of the fifth aspect are explained below.
- FIG. 10 shows an optical path diagram of the imaging optical system of Comparative Example 2. As shown in FIG. 10, like the imaging optical system of Numerical Example 2, the imaging optical system of Comparative Example 2 is composed of two lenses and a glass plate. The light incident on the object force through the diaphragm passes through the first lens 1, the second lens 2 and the glass plate 4 and reaches the sensor surface 5.
- the entrance surface and exit surface of the first lens 1, the entrance surface and exit surface of the second lens 2, and the entrance surface and exit surface of the glass plate 4 are referred to as second to seventh surfaces, respectively.
- the second to fifth surfaces are each defined by a single aspherical expression.
- a diffraction element (diffraction grating, DOE) for correcting chromatic aberration is provided on the third surface, that is, the exit surface of the first lens 2.
- FIG. 11 showing the aberration of Comparative Example 2, the state of curvature of the meridian image plane is examined.
- the dotted line indicating the meridional image plane indicates the three convexities, the convex portion directed toward the object side, the convex portion directed toward the image side, and the convex portion directed toward the object side in order of the direction close to the optical axis. Part.
- the peaks of the convex portions are located at image heights of 0.8 (mm), 1.5 (mm), and 2.05 (mm).
- the defocus (defocus from the designed image plane) is 0 (mm).
- the image heights are 0.5 (mm), 1.0 (mm), and 1.75 (mm).
- a discontinuous boundary is provided on the fifth surface so that the dotted line indicating the meridional image plane approaches the designed image plane position. Therefore, the position on the meridional image plane corresponding to the discontinuous boundary on the fifth plane is obtained.
- the discontinuous boundary is, for example, at the image height corresponding to the peak of the convex part of the curve indicating the position where the meridian ray condensing at the image height where the defocus is 0 (mm) passes through the fifth surface and the meridian image plane It may be the middle position where the condensed meridian rays pass through the fifth surface.
- a meridian ray focused at an image height where defocus is 0 (mm) may be a position where the fifth surface passes.
- the central region including the optical axis is moved in the optical axis direction, deficiencies in paraxial calculation occur. Therefore, the central region including the optical axis is fixed and used as a reference.
- the discontinuous boundary around the central region including the optical axis is a meridian ray that converges to an image height of 0.5 (mm) at a defocus of 0 (mm). Determined by the intersection with the surface.
- the next discontinuous boundary toward the outside is the image height lO (mm) that becomes defocused 0 (mm) next to the image height 0.5 (mm) on the meridional image plane. Determined by the intersection of the condensed meridian ray and the surface.
- the next discontinuous boundary toward the outside is an image height of 1.75 (mm) at the defocus 0 (mm) next to the image height of 1.0 (mm) on the meridional image plane. Determined by the intersection of the condensed meridian ray and the surface.
- the intersection of the meridian ray focused on the image height 0.5 (mm) and the surface is a distance of 0.22 (mm) in the optical axis force.
- the intersection of the meridian and the surface focused at the image height l.O (mm) is 0.44 (mm) from the optical axis.
- the intersection of the meridian and the surface, which converges to an image height of 1.75 (mm), is a distance of 0.8 (mm) from the optical axis.
- the fifth surface is a composite surface connected by the discontinuous boundaries defined above.
- the expressions indicating the shapes of a plurality of curves having discontinuous boundaries are the same.
- the discontinuous boundary is set as a step, and the step is provided by the center shift amount d.
- a step is provided on the image side of the lens, and the shape of the lens is concave.
- the lens thickness increases and the center shift amount d becomes +. If the image plane is to be corrected in the + direction when the focus shift amount is, the center shift amount d is-.
- the center shift amount d of the center region is set to O.O (mm).
- the center shift amount d of the outer belt-like region is set to -0.01 (mm) because it is a focus shift amount O.Ol (mm) assumed to occur in this surface region.
- the center shift amount d of the outer belt-like region is set to 0.05 (mm) because the focus shift amount assumed to occur in this surface region is 0.05 (mm).
- the center shift amount d of the outermost belt-like region is O.O (mm) because the shape of the meridional image plane is not changed by the center shift amount in the outermost belt-like region.
- FIG. 4 shows aberration diagrams of the imaging optical system of Numerical Example 2. Compared to the aberration diagram of Comparative Example 2 in FIG. 11, the curve representing the meridional image plane indicated by the dotted line in the left diagram of FIG. 4 approaches the image plane position and the astigmatism is also reduced.
- the configuration of the imaging optical system of Numerical Example 3 is the same as the configuration of the imaging optical system of Numerical Example 1 except for the configuration of the astigmatism correction surface (seventh surface).
- the position of the step in the numerical examples 1 and 3 (inner radius of the surface) and the size of the step in the numerical examples 1 and 3 (center shift amount dj) are U, respectively (Tables 1 and 7).
- FIG. 12 is an aberration diagram of the image forming optical system according to Numerical Example 3.
- the configuration of the imaging optical system of Numerical Example 4 is the same as the configuration of the imaging optical system of Numerical Example 2 except for the configuration of the astigmatism correction surface (fifth surface).
- the step position (inner surface radius) in Numerical Examples 2 and 4 and the step size (center shift dj) in Numerical Examples 2 and 4 are U, respectively (Tables 3 and 8).
- FIG. 13 is an aberration diagram of the image forming optical system according to Numerical Example 4.
- Fno. 2. 8 Focal length 4. 15 (ram) Optical arrangement
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JP2006531989A JP4822005B2 (ja) | 2004-09-03 | 2005-09-01 | 不連続な面を有する光学素子を含む結像光学系 |
US11/661,864 US7492534B2 (en) | 2004-09-03 | 2005-09-01 | Imaging optical system including optical element having discontinuous plane |
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JP2009020447A (ja) * | 2007-07-13 | 2009-01-29 | Fujinon Corp | 撮像レンズ、およびカメラモジュールならびに携帯端末機器 |
WO2016017434A1 (ja) * | 2014-07-28 | 2016-02-04 | コニカミノルタ株式会社 | 投影光学系及び投影装置 |
JP2019015788A (ja) * | 2017-07-04 | 2019-01-31 | キヤノン株式会社 | 撮像光学系及びそれを有する撮像装置 |
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FR2966936B1 (fr) | 2010-11-02 | 2012-12-07 | Commissariat Energie Atomique | Systeme optique de formation d'image sur une surface spherique concave |
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JPH11249007A (ja) * | 1998-03-03 | 1999-09-17 | Mark:Kk | 段差により収差を調整したレンズ装置 |
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JPH0514602A (ja) | 1991-06-28 | 1993-01-22 | Canon Inc | 画像読取装置 |
JP3862446B2 (ja) | 1998-10-02 | 2006-12-27 | キヤノン株式会社 | 結像レンズ及びそれを用いた画像読取装置 |
JP3478265B2 (ja) * | 2000-06-12 | 2003-12-15 | ミノルタ株式会社 | 撮像レンズ装置 |
JP2002055273A (ja) | 2000-08-07 | 2002-02-20 | Enplas Corp | 撮像レンズ |
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JPH11249007A (ja) * | 1998-03-03 | 1999-09-17 | Mark:Kk | 段差により収差を調整したレンズ装置 |
Cited By (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JP2009020447A (ja) * | 2007-07-13 | 2009-01-29 | Fujinon Corp | 撮像レンズ、およびカメラモジュールならびに携帯端末機器 |
WO2016017434A1 (ja) * | 2014-07-28 | 2016-02-04 | コニカミノルタ株式会社 | 投影光学系及び投影装置 |
JP2019015788A (ja) * | 2017-07-04 | 2019-01-31 | キヤノン株式会社 | 撮像光学系及びそれを有する撮像装置 |
JP6991756B2 (ja) | 2017-07-04 | 2022-01-13 | キヤノン株式会社 | 撮像光学系及びそれを有する撮像装置 |
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JP4822005B2 (ja) | 2011-11-24 |
US7492534B2 (en) | 2009-02-17 |
JPWO2006025505A1 (ja) | 2008-05-08 |
US20080068731A1 (en) | 2008-03-20 |
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