The disclosure of Japanese Patent Applications No. 2007-198405 filed on Jul. 31, 2007 and No. 2008-47437 filed on Feb. 28, 2008 including specification, drawings and claims is incorporated herein by reference in its entirety.
The present invention relates generally to a line-head and imaging apparatus incorporating the same, and more particularly to a linehead adapted to use a micro-lens array to project an array of light emitter devices onto the surface to be irradiated, thereby forming an array of imaging spots, and an imaging apparatus using the same.
So far, there has been an optical write linehead known in which a plurality of LED array chips are lined up in a LED array direction, and a LED array of each LED array chip is magnified and projected through an associated positive lens onto a photosensitive member so that images of light-emission dots at ends of adjacent LED array chips are adjacently formed at the same pitch as an inter-image pitch for the light-emission dots of the same LED array chips, as proposed in Patent Publication 1. As the optical path involved is reversed, it turns into an optical read linehead.
Patent Publication 2 has proposed that such an arrangement as shown in Patent Publication 1 is constructed of two positive lenses to approximate projection light to parallel light thereby increasing the depth of focus.
Patent Publication 3 has come up with an optical write linehead wherein LED array chips are lined up in two rows at an interval with its repetitive phase set off by a half period, and positive lens arrays are located in two rows with each positive lens in association with each LED array chips so that the images of a light-emission dot array are lined up in a row on a photosensitive member.
[Patent Publication 1]
JP(A)2-4546
[Patent Publication 2]
JP(A)6-344596
[Patent Publication 3]
JP(A)6-278314
Problems with these prior arts are that even when the images of the light-emission dot array are in alignment with one another at an equal pitch on an ideal image plane, there are misalignments of the light-emission dots on the photosensitive member upon the back-and-forth movement of the image plane in the lens's optical axis direction due to the shakes of the photosensitive member, etc. with the result that the light-emission arrays move relatively in the sub-scan direction, ending up with variations in the pitch between the scan lines (the pitch variation in the main scan direction).
Further, as the angle of view of each positive lens grows large, it causes the decrease in the quantity of rim light to increase according to the cosine fourth law (shading). To prevent this shading from giving rise to density variations of printed images, the quantity of light of each pixel (light-emission dot image) must remain constant on the image plane; for this, however, that shading must be corrected by changing the quantity of light of the light source (light-emission dot) for each light-emission dot. However, the intensity of light emission of the light source pixel (light-emission dot) has influences on service life; as the shading of the optical system grows large, there is a variation in the light quantity of the light-emission dot pitch over time and, hence, an image density variation, even though the uniform quantity of light is initially obtained on the image plane by adjustment of light quantity per light-emission dot.
In view of such problems with the prior art as described above, one object of the invention is to provide an optical write linehead comprising a plurality of positive lens lined up in array form and a plurality of light emitter devices located in a row corresponding to each lens, wherein even when there are fluctuations in the optical axis direction of a surface with light emitter devices lined up on it and a write surface, variations of light-emission dot images from misalignments are reduced. Another object of the invention is to reduce density variations from shading between imaging spots by the respective lenses. Yet another object of the invention is to make it possible to use a drum-form photosensitive member wherein influences of changes in an optical direction distance based on its curvature are reduced.
A further object of the invention is to provide an imaging apparatus incorporating such an optical write linehead, and an optical read linehead with the optical path reversed.
According to the invention, the aforesaid objects are accomplishable by the provision of a linehead comprising a light emitter array including a plurality of light emitter blocks located at least in a first direction at intervals wherein each light emitter block includes at least one row of a plurality of light emitter devices lined up in array form in the first direction, characterized in that a lens array is located on an exit side of said light emitter array such that one positive lens system is in alignment with each light emitter block, a write surface is located on an imaging side of said lens array, and each positive lens system forming a part of said lens array comprises a telephoto optical system having confocally located two lens groups with an aperture stop located at a confocal plane of said telephoto optical system.
The arrangement being like such, even when one or both of the positions of the write surface and the surface with the light emitter devices located on it displace in the optical axis direction, there are no misalignments of imaging spots, and no density variations between imaging spots, resulting in prevention of deterioration of the ensuing image.
The aforesaid positive lens system may comprise two positive lenses.
The arrangement being like such, it is possible just only to facilitate fabricating individual lens arrays but also to facilitate correction of aberrations.
Preferably, the positive lens systems forming the aforesaid lens arrays should be all the same.
The arrangement being like such, it is possible to provide a uniform spacing between imaging spots that are images of the light emitter devices in the first direction (main scan direction), and to make lens array fabrication easy.
The aforesaid write surface may be defined by a plane.
The arrangement being like such, even when a plurality of light emitter blocks are lined up in a sub-scan direction (the second direction), writing can be applied to all the rows in the same state, resulting in none of the density variations between imaging spots, etc., and prevention of deterioration of the ensuing image.
The aforesaid write surface may be defined by a cylindrical surface.
The arrangement being like such, there is a line-head obtained that lends itself to an exposure head of imaging apparatus using a drum-form photosensitive member.
Preferably, the surface located in, and nearest to the image side of, at least the image-side positive lens group in the aforesaid positive lens system should be defined by a plane.
The arrangement being like such, the exit surface of the lens nearest to the image plane can be configured as a plane so that foreign matters such as dust and toner deposited onto that exit surface can easily is cleaned up: improved cleanability is achievable.
Preferably, the aforesaid aperture stop should be configured in such a way as to limit the aperture diameter at least in the first direction.
The arrangement being like such, it is possible to address the main scan direction (the first direction) about which misalignments of at least off-axis imaging spots become a problem.
Preferably, the aforesaid light-emission block includes plural rows of said light emitter devices in the second direction (sub-scan direction) orthogonal to the first direction.
The arrangement being like such, it is possible to address the formation of images at an increased imaging spot density.
Preferably, plural rows of said light emitter blocks should be lined up in the second direction orthogonal to the first direction.
The arrangement being like such, it is possible to address the formation of images at an increased imaging spot density.
Preferably, the aforesaid light emitter device comprises an organic EL device.
The arrangement being like such, it is possible to make much contribution to the uniform formation of images in the plane.
Alternatively, the aforesaid light emitter device may comprise a LED.
The arrangement is being like such, it is possible to address a linehead using LED arrays, too.
The invention also provides an imaging apparatus comprising at least two imaging stations each comprising an imaging unit which comprises a charging means around an image carrier, a linehead as recited above, a developing means and a transfer means, so that imaging is implemented in a tandem mode by letting a transfer medium pass through each station.
The arrangement being like such, it is possible to set up an imaging apparatus such as a printer that is of small format, has higher resolving power and undergoes less image deterioration.
The invention also includes a linehead comprising a light receptor array including a plurality of light receptor blocks located at least in a first direction at intervals wherein each light receptor block includes at least one row of a plurality of light receptor devices lined up in array form in the first direction, characterized in that a lens array is located on an entrance side of said light receptor array such that one positive lens system is in alignment with each light receptor block, a read surface is located on an object side of said lens array, and each positive lens system forming a part of said lens array comprises a telephoto optical system having confocally located two lens groups with an aperture stop located at a confocal plane of said telephoto optical system.
The arrangement being like such, even when one or both of the positions of the write surface and the surface with the light emitter devices located on it displace in the optical axis direction, there are no misalignments of imaging spots, and no density variations between imaging spots, resulting in prevention of deterioration of the image read.
Still other objects and advantages of the invention will in part be obvious and will in part be apparent from the specification.
The invention accordingly comprises the features of construction, combinations of elements, and arrangement of parts which will be exemplified in the construction hereinafter set forth, and the scope of the invention will be indicated in the claims.
Before giving a detailed account of the optical system for the inventive linehead, how to locate light emitter devices, and light-emission timing is briefly explained.
A plurality of microlenses 5 are provided in the main- and sub-scan directions of the light emitter array 1 to form a microlens array (MLA) 6. In this MLA 6, the front microlens in the sub-scan direction is set off the one in the main scan direction. Such MLA 6 array corresponds to an arrangement wherein light emitter devices are located zigzag on the light emitter array 1. In the example of
When, as described above, a plurality of light emitter devices 2 are located in the microlens 5 having a minus optical magnification and a plurality of rows of such lenses are located in the sub-scan direction, the formation of imaging spots lined up in the main scan direction of the image carrier 41 requires the following image data controls: (1) inversion of the sub-scan direction, (2) inversion of the main scan direction, (3) adjustment of the timing of when the plural rows of light emitter devices in the lens are to emit light, and (4) adjustment of the timing of when the inter-group light emitter devices are to emit light.
For group A, each light emitter device 2 is operated as described with reference to
T1 may be found as follows. T2 and T3, too, may likewise be found by substituting d2, and d3 for d1.
T1=|(d1×β)/S|
Here the respective parameters are:
d1 is the distance of the light emitter device in the sub-scan direction,
S is the speed of movement of the imaging plane (image carrier), and
β is the magnification of the lens.
In
Using such a linehead as described above, an imaging apparatus may be set up. In one embodiment of the invention, that linehead may be applied to a tandem color printer (imaging apparatus) wherein four lineheads are used to expose four photosensitive members to light so that four colors of images can be formed at the same time for transfer onto one endless intermediate transfer belt (intermediate transfer medium).
As shown in
The capitals K, C, M and Y affixed to the aforesaid reference numerals mean black, cyan, magenta and yellow, respectively, indicating photosensitive members for black, cyan, magenta and yellow. The same will hold for other members, too. As the intermediate transfer belt 50 is driven, the photosensitive members 41K, 41C, 41M, 41Y are rotationally driven in synchronization with it in the direction indicated by the arrow (clockwise). Around each photosensitive member 41 (K, C, M, Y) there is a charger means (corona charger) 42 (K, C, M, Y) that enables the peripheral surface of the photosensitive member 41 (K, C, M, Y) to be uniformly charged, and such an inventive line-head 101 (K, C, M, Y) as described above, which allows that peripheral surface uniformly charged by the charger means 42 (K, C, M, Y) to be subject to sequential line scans in synchronization with the rotation of the photosensitive member 41 (K, C, M, Y).
Further, the imaging apparatus comprises a developer 44 (K, C, M, Y) which adds a developing agent or toner to an electrostatic image formed by the linehead 101 (K, C, M, Y) to convert it into a visible (toner) image, a primary transfer roller 45 (K, C, M, Y) that provides a transfer means for sequentially transferring the toner images developed at the developer 44 (K, C, M, Y) onto the intermediate transfer belt 50 to be primarily transferred, and a cleaning unit 46 (K, C, M, Y) that provides a cleaning means for removal of toner remaining on the surface of the photosensitive member 41 (K, C, M, Y) after transfer.
Each linehead 101 (K, C, M, Y) here is located such that its array direction lies along the generating line of the photosensitive drum 41 (K, C, M, Y), and such that its light-emission energy peak wavelength substantially matches with the sensitive peak wavelength of the photo-sensitive member 41 (K, C, M, Y).
For the developer 44 (K, C, M, Y), for instance, a nonmagnetic one-component toner is used as the developing agent. That one-component developing agent is delivered to a developing roller via, for instance, a feed roller, and the thickness of the developing agent deposited onto the surface of the developing roller is controlled by a control blade. Then, that developing roller is brought in contact or engagement with the photosensitive member 41 (K, C, M, Y) to deposit the developing agent onto the photo-sensitive member 41 (K, C, M, Y) depending on its potential level so that toner images are obtained by development.
The respective black, cyan, magenta and yellow toner images formed at the 4-color monochromatic toner image-formation station are primarily transferred in order onto the intermediate transfer belt 50 by a primary transfer bias applied to the primary transfer roller 45 (K, C, M, Y) so that they are superposed together on the intermediate transfer belt 50 into a full-color toner image. Then, the full-color toner image is secondarily transferred at a secondary transfer roll 66 onto a recording medium P such as paper, whereupon it is passed through a pair of fixing rollers 61 defining a fixing unit for fixation onto the recording medium P. Finally, the recording medium P is ejected through a pair of ejection rollers 62 onto an output tray 68 mounted on top of the apparatus.
It is here noted that reference numeral 63 is indicative of a feeder cassette with a number of recording media P piled up in it; 64 a pickup roller adapted to feed the recording media P one by one from the feeder cassette 63; 65 a pair of gate rollers adapted to control the feed timing of when to feed the recording media P to the secondary transfer portion of the secondary transfer roller 66; 66 the secondary transfer roller working as the secondary transfer means adapted to define the secondary transfer portion between it and the intermediate transfer belt 50; and 67 a cleaning blade working as the cleaning means adapted to remove toner remaining on the surface of the intermediate transfer belt 50 after the secondary transfer.
The invention is specifically concerned with the optical system for such a linehead (optical write line-head) as described above. First of all, the principles are explained.
Likewise, as the surface 55 of the light emitter array 1 that is an object plane shuttles back and forth in the direction of the lens's optical axis O-O′ due to the attachment of the light emitter array 1 or the like and moves to a position indicated by 55′ in
In the invention as shown in
Likewise, even when the surface 55 of the light emitter array 1 moves to a position 55′ in the direction of the lens's optical axis O-O′, the position of the imaging spot 8x on the photosensitive member 41 becomes the position 8x″ of the chief ray 12 after refraction through the microlens 5; there is no misalignment of the imaging spot 8x even when the position of the surface 55 of the light emitter array shakes back and forth.
Further, as the telephoto lens system comprising two confocal positive lenses L1 and L2 with the aperture stop 11 located at that confocal point F is used as the micro-lens 5, it permits a divergent solid angle Ω from the light emit ter device 2 of a light beam coming out of the light emitter device 2 at any position on the surface 55 of the light emitter array 1 and passing through the aperture in the aperture stop 11 (a divergent solid angle Ω from the end light emitter device 2 is shown in
Accordingly, as the aforesaid optical system for the inventive linehead is used with an optical write linehead, there is none of such pitch variations as occurring with the prior art imaging spot 8 in the main scan direction, and none of the pitch variations between scan lines drawn in association with the movement of the imaging spot 8 in the sub-scan direction.
That is, the invention provides a linehead comprising a plurality of light emitter devices lined up in a row in the main scan direction and one positive lens system located in association with the plurality of light emitter devices so that the image of the row of light emitter devices (the array of imaging spots) is projected onto a projection plane (photosensitive member) to form an image, wherein that projection optical system is configured in the so-called telecentric configuration on both sides; even when there is an axial direction displacement of one or both of the position of the projection plane (photosensitive member) and the surface of the light emitter array, there is no misalignment of imaging spots or no density variation between the imaging spots, so that the ensuing image is free from deterioration.
In this case, for the function of the aperture stop 11, it is only needed to limit the diameter of the aperture in a direction (the main scan direction) in which there is a problem with the misalignment of an at least off-axis imaging spot; when an array of one row of light emitter devices is provided in association with one positive lens system as in the prior art (Patent Publications 1 and 3), it is only needed to limit the diameter of the aperture in the main scan direction. When, as in the aforesaid embodiment of the invention, two rows of arrays are located very closely in the sub-scan direction (
In the explanation of the embodiment with reference to
The foregoing is directed to the optical write line-head. If the optical path involved is reversed, there is an optical read linehead set up for reading images: a plurality of light receptor devices are lined up in a row in the main scan direction, and the image of the row of light receptor devices (an array of reading spots) is back projected onto a read plane to read images. In this case, too, the projection optical system is configured in the so-called telecentric configuration on both its side, or two positive lenses having a confocal point are used with an aperture stop located at the position of that confocal point. In any case, there is the telephoto lens system set up: even when there is an axial direction displacement of one or both of the read plane and the surface of the light receptor device array, there is no misalignment of imaging spots or no density variation between the imaging spots, so that the ensuing image is free from deterioration. In
The optical write linehead according to one example to which such inventive principles are applied is now explained.
In this example, as in
In the example of
The glass substrate 20 is fitted in an associated dent 22 in a longitudinal casing 21, and a back lid 23 is covered over it for fixation using a fixture 24. An optical write linehead 101 is fixed in place by inserting alignment pins 25 provided at both ends of the longitudinal casing 21 into associated alignment holes in the imaging apparatus, and screwing fixing screws into threaded holes in the imaging apparatus through insertion holes 26 in both ends of the longitudinal casing 21.
And on the surface side of the glass substrate 20 in the casing 21, there is a first microlens array 61 comprising positive lens components L1 located via a first spacer 71 such that the center of each light emitter block 4 of the light emitter array 1 is in line with the positive lens L1. On that there is a stop plate 30 having apertures 31 (
Thus, the lens array of microlenses 5 for projecting the light emitter device row of each light emitter block 4 comprises a combination of the first microlens array 61 with the second microlens array 62.
And, based on the invention, the image-side (back) focus of the positive lenses L1 forming the first micro-lens array 61 is in alignment with the object-side (front) focus of the positive lens L2 forming the second microlens array 62, and the thickness of the second 72, and the third spacer 73 is set such that the stop plate 30 is positioned at that match plane. Details of the stop plate 30 are shown in
While light rays coming out of the center of the light emitter block 4 and arriving at the image plane (photosensitive member 41) are shown in
The foregoing example is directed to the so-called bottom emission type optical write linehead 101 that uses as the light emitter devices 2 organic EL devices located on the back side of the glass substrate 20 to harness light emitted toward the surface side of that glass substrate 20; however, EL devices or LEDs may just as well be located as the light emitter device 2 on the surface side of the substrate.
In the foregoing example, the light emitter blocks 4 in the light emitter array 1 are lined up in three rows in the sub-scan direction with the front positions set off in the main scan direction, as can be seen from
Further in the example of
Referring to
Referring here to the microlens arrays 61, 61 used with the inventive optical write linehead 101, they may be of any desired construction known so far in the art.
Examples 1 to 4 are now explained with reference to specific numerical ones for the optical system used in the aforesaid examples. Examples 1, 2 and 3 are each directed to the microlens 5 in the case where the image plane 41 is in planar form, and Example 4 is directed to microlenses 51, 52 and 53 in the case where the photosensitive drum 41 is used as the image plane 41.
a) and 26(b) are sectional views of the optical system corresponding to one microlens 5 in Example 1, as taken in the main- and sub-scan directions, respectively. In this example, there is no glass substrate located on the exit side of the light emitter device 2; the microlens 5 is configured in the form of a telephoto lens system consisting of confocal plano-convex positive lens L1 and plano-convex positive lens L2; and the stop plate 30 is located on a confocal plane between the plano-convex positive lens L1 and the plano-convex positive lens L2 (where the image-side (back) focus of the plano-convex positive lens L1 matches with the object-side (front) focus of the plano-convex positive lens L2).
Set out below are numerical data about this example. It is noted that, in order from the side of the light emitter block 4 toward the side of the photosensitive member (image plane) 41,
r1, r2 . . . the radius of curvature of each optical surface (in mm),
d1, d2 . . . the spacing between the respective optical surfaces (in mm),
vd1, vd2 . . . the Abbe constant of each transparent medium. It is here noted that r1, r2 . . . are also indicative of the optical surfaces: the optical surface r1 is the light emitter block (object plane) 4, the optical surfaces r2 and r3 are the object-side and image-side surfaces of the plane-convex positive lens L1, the optical surface r4 is the aperture 31 in the stop plate 30, the optical surfaces r5 and r6 are the object-side and image-side surfaces of the plano-convex positive lens L2, and r7 is the photosensitive member (image plane) 41. It is also noted that in what follows, the total width of the image-plane pixel group will refer to the width in the main scan direction of an image on the image plane of the light emitter block 4 that is an object.
a) and 27(b) are sectional views of the optical system corresponding to one microlens 5 in Example 2, as taken in the main and sub-scan directions, respectively. In this example, there is no glass substrate located on the exit side of the light emitter device 2; the microlens 5 is configured in the form of a telephoto lens system consisting of a plano-convex positive lens L1 and a plano-convex positive lens L2; and the stop plate 30 is located on a confocal plane between the plano-convex positive lens L1 and the plano-convex positive lens L2 (where the image-side (back) focus of the plano-convex positive lens L1 matches with the object-side (front) focus of the plano-convex positive lens L2).
Set out below are numerical data about this example. It is noted that, in order from the side of the light emitter block 4 toward the side of the photosensitive member (image plane) 41,
r1, r2 . . . the radius of curvature of each optical surface (in mm),
d1, d2 . . . the spacing between the respective optical surfaces (in mm),
vd1, vd2 . . . the Abbe constant of each transparent medium. It is here noted that r1, r2 . . . are also indicative of the optical surfaces: the optical surface r1 is the light emitter block (object plane) 4, the optical surfaces r2 and r2 are the object-side and image-side surfaces of the plane-convex positive lens L1, the optical surface r4 is the aperture 31 in the stop plate 30, the optical surfaces r5 and r6 are the object-side and image-side surfaces of the plano-convex positive lens L2, and r7 is the photosensitive member (image plane) 41. It is also noted that the object-side and image-side surfaces of the plano-convex positive lens L1 and L2 are each an aspheric surface, with the aspheric surface shape represented by
cr2/[1+√{1−(1+K)c2r2}]
where r is a distance from the optical axis, C is an axial curvature (1/r), and K is the conic coefficient. In the following numerical data, K2 is the conic coefficient of the object-side surface of the plano-convex positive lens L1, and K5 is the conic coefficient the object-side surface of the plano-convex positive lens L2.
a) and 28(b) are sectional views of the optical system corresponding to one microlens 5 in Example 3, as taken in the main and sub-scan directions, respectively. In this example, there is no glass substrate located on the exit side of the light emitter device 2; the microlens 5 is configured in the form of a telephoto lens system consisting of a double-convex positive lens L1 and a plane-convex positive lens L2; and the stop plate 30 is located on a confocal plane between the double-convex positive lens L1 and the plano-convex positive lens L2 (where the image-side (back) focus of the double-convex positive lens L1 matches with the object-side (front) focus of the plano-convex positive lens L2).
Set out below are numerical data about this example. It is noted that, in order from the side of the light emitter block 4 toward the side of the photosensitive member (image plane) 41,
r1, r2 . . . the radius of curvature of each optical surface (in mm),
d1, d2 . . . the spacing between the respective optical surfaces (in mm),
nd1, nd2 . . . the d-line refractive index of each transparent medium, and
vd1, vd2 . . . the Abbe constant of each transparent medium. It is here noted that r1, r2 . . . are also indicative of the optical surfaces: the optical surface r1 is the light emitter block (object plane) 4, the optical surfaces r2 and r3 are the object-side and image-side surfaces of the double-convex positive lens L1, the optical surface r4 is the aperture 31 in the stop plate 30, the optical surfaces r5 and r6 are the object-side and image-side surfaces of the plano-convex positive lens L2, and r7 is the photosensitive member (image plane) 41. It is also noted that the object-side surfaces of the double-convex positive lens L1 and plano-convex positive lens L2 are each an aspheric surface, with the aspheric surface shape represented by
cr2/[1+√{1−(1+K)c2r2}]
where r is a distance from the optical axis, c is an axial curvature (1/r), and K is the conic coefficient. In the following numerical data, K2 is the conic coefficient of the object-side surface of the double-convex positive lens L1, and K5 is the conic coefficient the object-side surface of the plano-convex positive lens L2.
In this example, the microlens 51, 52, 53 has no glass substrate located on the exit side of the light emitter device 2; the microlens S is configured in the form of a telephoto lens system made up of a plano-convex positive lens L1 and a plano-convex positive lens L2; and the stop plate 30 is located on a confocal plane between the plano-convex positive lens L1 and the plano-convex positive lens L2 (the plane at which the image-side (back) focus of the plano-convex positive lens L2 matches with the object-side (front) focus of the plano-concave positive lens L2).
And the optical axes of the respective microlenses 51, 52, 53 are parallel with one another, and lenses of the same construction are used for the microlenses 51, 52 and 53 in the first, second and third rows, with only the spacing between the lens L2 and the photosensitive member (image plane) 41 varying depending on the curvature (the radius of 20 mm) of the photosensitive member 41. The spacing between the photosensitive member (image plane) 41 and the lens L2 of both the microlenses 51 and 53 in the first and third rows is larger by 32 μm with respect to the microlens 52 in the center or second row (
Set out below are numerical data about the micro-lenses 51, 52, 53 in this example. It is noted that, in order from the side of the light emitter block 4 toward the side of the photosensitive member (image plane) 41,
r1, r2 the radius of curvature of each optical surface (in mm),
d1, d2 . . . the spacing between the respective optical surfaces (in mm),
nd1, nd2 . . . the d-line refractive index of each transparent medium, and
vd1, vd2 . . . the Abbe constant of each transparent medium. It is here noted that r1, r2 . . . are also indicative of the optical surfaces: the optical surface r1 is the light emitter block (object plane) 4, the optical surfaces r2 and r3 are the object-side and image-side surfaces of the double-convex positive lens L1, the optical surface r4 is the aperture 31 in the stop plate 30, the optical surfaces r5 and r6 are the object-side and image-side surfaces of the plano-convex positive lens L2, and r7 is the photosensitive member (image plane) 41. It is also noted that the object-side surfaces of the plano-convex positive lenses L1 and L2 are each an aspheric surface, with the aspheric surface shape represented by
cr2/[1+√{1−(1+K)c2r2}]
where r is a distance from the optical axis, c is an axial curvature (1/r), and K is the conic coefficient. In the following numerical data, K2 is the conic coefficient of the object-side surface of the plano-convex positive lens L1, and K5 is the conic coefficient the object-side surface of the plano-convex positive lens L2. Note here that the tilt of the image plane is indicated by α7.
While the inventive linehead and the inventive imaging apparatus incorporating the same have been described with reference to the principles and examples, it is understood that the invention is by no means limited to them and so many modifications may be made.
Number | Date | Country | Kind |
---|---|---|---|
2007-198405 | Jul 2007 | JP | national |
2008-047437 | Feb 2008 | JP | national |