WO2011129625A2 - 입체 영상 표시 장치 - Google Patents
입체 영상 표시 장치 Download PDFInfo
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- WO2011129625A2 WO2011129625A2 PCT/KR2011/002660 KR2011002660W WO2011129625A2 WO 2011129625 A2 WO2011129625 A2 WO 2011129625A2 KR 2011002660 W KR2011002660 W KR 2011002660W WO 2011129625 A2 WO2011129625 A2 WO 2011129625A2
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B30/00—Optical systems or apparatus for producing three-dimensional [3D] effects, e.g. stereoscopic images
- G02B30/20—Optical systems or apparatus for producing three-dimensional [3D] effects, e.g. stereoscopic images by providing first and second parallax images to an observer's left and right eyes
- G02B30/22—Optical systems or apparatus for producing three-dimensional [3D] effects, e.g. stereoscopic images by providing first and second parallax images to an observer's left and right eyes of the stereoscopic type
- G02B30/25—Optical systems or apparatus for producing three-dimensional [3D] effects, e.g. stereoscopic images by providing first and second parallax images to an observer's left and right eyes of the stereoscopic type using polarisation techniques
Definitions
- the present invention relates to a stereoscopic image display device, an optical filter for a stereoscopic image display device, glasses for stereoscopic image observation, and a method for improving the quality of a stereoscopic image.
- a stereoscopic image display device is a display device capable of delivering three-dimensional information of an expression object to an observer.
- the stereoscopic image display device may be classified into a glasses type device and a glassesless type device.
- the glasses method may be classified into a polarizing glasses method and an LC shutter glasses method
- the glasses-free method may be classified into a binocular / multi-view binocular parallax method, a volume method, or a holographic method. .
- An object of the present invention is to provide a stereoscopic image display apparatus, an optical filter for a stereoscopic image display apparatus, glasses for stereoscopic image observation, and a method for improving the quality of a stereoscopic image.
- the present invention includes an image display unit for generating an image signal including a right eye image light and a left eye image light, and transmits it to an observer side; And a phase difference film having a phase difference in a thickness direction and arranged to transmit an image signal transmitted from the image display part in a thickness direction to be transmitted to an observer's side.
- each term may include an error within about ⁇ 15 degrees, preferably an error within about ⁇ 10 degrees, more preferably an error within about ⁇ 5 degrees.
- a unit of an angle is a degree
- a unit of a phase difference is nm
- a unit of a crosstalk rate or brightness is cd / m ⁇ 2> .
- each image light is accurately incident on the right eye or the left eye of the observer.
- contrast is clearly distinguished, and image quality such as contrast ratio can be improved.
- the stereoscopic image display device when the stereoscopic image display device is observed at an oblique angle rather than in front, it is difficult to properly block light leakage of the right eye or left eye image light, and the right eye image light is incident on the left eye of the observer or the left eye.
- the so-called crosstalk phenomenon in which the dragon image light enters the observer's right eye occurs, and the viewing angle is also narrowed.
- the light shielding part may be formed, but the luminance of the device is inevitably accompanied by the formation of the light shielding part.
- a phase difference film having a phase difference in a thickness direction is disposed between a path through which an image signal enters an observer, that is, an image display unit for generating an image signal and the observer.
- the retardation film adjusts the optical characteristics of the image signal generated from the image display unit and transmits the optical characteristic to the observer, thereby solving problems such as generation of crosstalk or reduction of viewing angle without reducing luminance, and improving stereoscopic image quality.
- the term "drive state of a stereoscopic image display device” means a state in which the device displays a stereoscopic image.
- the retardation film various retardation films known in the art can be used as long as they have a retardation in the thickness direction, preferably a positive retardation in the thickness direction, and for example, + C plate or + B plate. Can be used.
- + C plate means a film that satisfies the relationship of the following general formula (1)
- + B plate means a film that satisfies the relationship of the following general formula (2) or (3).
- N x N y ⁇ N z
- N x represents a refractive index in the in-plane slow axis direction of the retardation film
- N y represents a refractive index in the in-plane fast axis direction of the retardation film
- N z represents a refractive index in the thickness direction of the retardation film.
- the retardation R th in the thickness direction of the retardation film may be calculated by the following general formula (4), and the plane direction retardation (R in ) of the retardation film may be calculated by the following general formula (5).
- N x , N y and N z are as defined in Formulas 1 to 3, and d represents the thickness of the retardation film.
- the range of the retardation in the thickness direction of the retardation film is not particularly limited and may be determined according to the type of the stereoscopic image display device or the retardation film.
- phase difference of the + C plate of the retardation film satisfies the relationship of the following general formula 6 or 7
- the phase difference of the + B plate may satisfy the relationship of any one of the following general formulas 8 to 11.
- X is a phase difference in the thickness direction of the + C plate
- X is a phase difference in the thickness direction of the + B plate.
- Y L represents a crosstalk rate (unit: cd / m 2 ) in the left eye of the observer in the driving state of the stereoscopic imaging apparatus, and Y L is preferably 0.3 or less, more preferably. Preferably it may be 0.1 or less, More preferably, it is 0.05 or less, More preferably, it may be 0.01 or less.
- Y R represents the crosstalk rate (unit: cd / m 2 ) in the right eye of the observer in the driving state of the stereoscopic imaging apparatus, and Y R is preferably 0.3 or less, more preferably 0.1 or less, and more preferably May be 0.05 or less, more preferably 0.01 or less.
- the phase difference in the thickness direction of the region through which the right eye image light transmits and the region through which the left eye image light transmits may be the same or different from each other in the retardation film.
- the distinction between the right eye image light and the left eye image light is not particularly limited.
- the device of the present invention is a polarizing glasses type device including a polarization control layer described below
- the right eye and left eye images The division of light may be referred to the following description according to the type of polarization control layer.
- the phase difference in the thickness direction of the region through which the right eye image light is transmitted and the region through which the left eye image light is transmitted in the + C plate satisfies the relationship of Formula 6, or + C
- the phase difference in the thickness direction of the region in which the right eye image light is transmitted from the plate satisfies the relation of Formula 6, and the phase difference in the thickness direction of the region in which the left eye image light is transmitted is satisfying the general formula 7, wherein + B
- the phase difference in the thickness direction of the region in which the right eye image light is transmitted from the plate satisfies Equation 8
- the phase difference in the thickness direction of the region in which the left eye image light is transmitted satisfies Equation 9, or the right eye image light is transmitted.
- the phase difference in the thickness direction of the region to be satisfied satisfies Equation 10
- the phase difference in the thickness direction of the region in which the left eye image light is transmitted may satisfy Equation 11. no.
- the retardation in the thickness direction of the retardation film may be, for example, 30 nm to 350 nm.
- the film when the retardation film is a + B plate, the film may have a phase difference in the plane direction along with the phase difference in the thickness direction.
- the range of the phase difference in the plane direction may be appropriately selected in consideration of stereoscopic image quality. For example, in the range of about 120 nm to 160 nm.
- phase differences R th and R in may be adjusted according to the type or specific configuration of the display device, and the aspect of such adjustment is in accordance with the general formula described above. desirable.
- the type of the image display unit included in the apparatus is not particularly limited, and all image display units of various stereoscopic image display apparatuses known in the art may be used, including glasses or auto glasses.
- the apparatus may be a three-dimensional image display device of the spectacle method, specifically, polarized glasses, in this case, the image display unit generates a video signal including the right eye and left eye image light to the observer side An image generator which can be transferred; And a polarization control layer disposed on the observer's side in the image generator and adjusted to have a different polarization state between the right eye image light and the left eye image light when the image signal is incident. It may include.
- FIG. 1 is a diagram illustrating an example of the above-described stereoscopic image display device 1.
- the image generating unit included in the exemplary device 1 of FIG. 1 may include a light source 11, a first polarizing plate 12, an image generating layer 13, and a second polarizing plate 14. 15 may be disposed at the observer 17 side of the image generating unit.
- the observer 17 may wear polarized glasses and observe a stereoscopic image.
- the polarizing glasses may have a right eye lens and a left eye lens, and the right eye lens and the left eye lens may each include a polarizing plate.
- the absorption axis of the polarizing plate included in each of the lenses differently, for example, in a direction in which both absorption axes are perpendicular to each other, the left eye image light is incident only to the left eye, and the right eye image light is also the right eye. It may be possible to make incident only.
- the right eye lens and the left eye lens may further include a ⁇ / 4 wavelength layer together with the polarizer.
- the absorption axes of the polarizing plates do not necessarily need to be different from each other.
- the absorption axes of the polarizing plates of the right and left eye lenses are adjusted to be horizontal to each other, and at the same time, the ⁇ / 4 wavelength layers of the right and left eye lenses have optical axes in different directions. Adjusting method, for example, in such a way that the optical axis of the ⁇ / 4 wavelength layer of the right eye lens and the left eye lens are perpendicular to each other, the left eye image light is incident only to the left eye, and the right eye image light is only to the right eye. Can be incident.
- the polarizing plates of the right and left eye lenses may be adjusted so that the absorption axes are adjusted in different directions, and the optical axes of the ⁇ / 4 wavelength layers of the right and left eye lenses are horizontal to each other.
- ⁇ / 4 wavelength layer means a phase delay element capable of delaying a phase by 1/4 of each wavelength with respect to incident light.
- the light source 11 may emit white light, which is not polarized, toward the polarizing plate 12 while using the apparatus 1 as part of the image generating unit.
- the light source 11 for example, a conventional direct type or edge type backlight unit (BLU) used in a liquid crystal display may be used.
- BLU edge type backlight unit
- the first polarizing plate 12 is arranged on the light source 11 side.
- the first polarizing plate 12 may have a transmission axis and an absorption axis orthogonal to the transmission axis.
- the first polarizing plate 12 transmits light having a polarization axis parallel to the transmission axis direction.
- the direction of the polarization axis is the vibration direction of the electric field in the light.
- the image generating layer 13 may include, for example, a single or a plurality of pixels PIXELs capable of generating left or right eye image light, arranged in a row and / or column direction. It may be a transmissive liquid crystal display panel. Such a display panel generates a video signal including left and right eye video light by driving each pixel in accordance with a signal while the device 1 is being used, and generates the generated video signal using a second polarizing plate ( 14).
- the display panel may include, for example, a substrate, a pixel electrode, an alignment layer, a liquid crystal layer, an alignment layer, a common electrode, a color filter, and a substrate sequentially disposed from the light source side 11.
- the display panel may form a right eye image generation region UR for generating a right eye image and a left eye image generation region UL for generating a left eye image by combining each unit pixel or two or more pixels.
- the left eye image generating region UL and the right eye image generating region UR are alternately arranged with each other while forming a stripe image extending in a common direction, as shown in FIG. As shown in Fig. 1 may be arranged alternately while forming a grid pattern.
- the right eye image and the left eye image are generated in the right eye and left eye image generation regions, respectively.
- the image generating region R for the right eye may be formed.
- the light passing through becomes the right eye image light
- the light passing through the left eye image generation region L becomes the left eye image light.
- the right eye and left eye image light may be linearly polarized light having a polarization axis in a specific direction, and the polarization axes may be in the same direction.
- the second polarizing plate 14 is arranged on the observer side. When the right and left eye image lights are incident, the second polarizing plate 14 transmits light parallel to the transmission axis of the polarizing plate 14.
- the transmission axes of the first and second polarizing plates 12 and 14 may be disposed to form an angle of 90 degrees with each other.
- the polarization control layer 15 includes a right eye image polarization control area AR and a left eye image polarization control area AL.
- the right eye image polarization adjusting region AR is an area for adjusting the polarization state of the right eye image light generated and transmitted in the right eye image generating region UR, and is arranged to allow the right eye image light to be incident thereon.
- the left eye image polarization adjusting area AL is an area for adjusting the polarization state of the left eye image light generated and transmitted in the left eye image generation area UL, and is arranged to allow the left eye image light to be incident thereon.
- the right eye and left eye image generating regions of the image generating layer 13 are arranged in the form as shown in FIG.
- the polarization control regions AR and AL are arranged according to the same as in FIG. 4.
- the image generating regions UR and UL are arranged as shown in FIG. 3
- the polarization control regions AR and AL may be arranged as shown in FIG. 5, but embodiments of the present invention are not limited thereto.
- the right eye and left eye image light transmitted through the polarization control layer 15 have different polarization states.
- the right eye and left eye image light may be light linearly polarized to have a direction substantially perpendicular to each other, or may be left circularly polarized light and right circularly polarized light.
- a phase difference film 16 is disposed between an image generator and an observer 17.
- the retardation film 16 is a film having a retardation in the thickness direction, and is disposed such that the video signal passes through the thickness direction of the retardation film 16 in the process of transmitting the video signal to the observer 17.
- the retardation film 16 is attached to and integrated with the polarization control layer 15 of the image display unit, or is worn by the observer 17. It may be attached to.
- the polarization control layer 15 includes right eye and left eye image light polarization control regions AR and AL, and an image for right eye and left eye which has passed through the polarization control layer 15.
- the light may be linearly polarized to have directions substantially perpendicular to each other, or may be left and right polarized.
- the polarization control layer when the right eye and left eye image light are left or right polarized light, respectively, the polarization control layer includes a right eye image light polarization control region and a left eye image light polarization control region, and the polarization
- the adjustment layer includes a? / 4 wavelength layer disposed in the right eye and left eye image light polarization adjusting regions, and the? / 4 wavelength layer disposed in the right eye image light polarization adjusting region and the left eye image light polarization control.
- the ⁇ / 4 wavelength layers disposed in the region may have different optical axes from each other.
- the optical axis may mean a fast axis or a slow axis when incident light passes through a corresponding area.
- the optical axis of the lambda / 4 wavelength layer disposed in the right eye image light polarization control region and the optical axis of the lambda / 4 wavelength layer disposed in the left eye image light polarization control region may be 90 degrees.
- this type of polarization control layer may be referred to as a “patterned ⁇ / 4 wavelength layer”.
- the polarization control layer for generating left and right polarized light includes a right eye image light polarization control region and a left eye image light polarization control region, and the polarization control layer includes a right eye and a left eye It may also include a lambda / 4 wavelength layer disposed in the dragon image light polarization control region and a lambda / 2 wavelength layer disposed in only one of the right and left eye image light polarization adjustment region.
- a polarization control layer may be referred to as a ( ⁇ / 2 + ⁇ / 4) wavelength layer.
- the definition of the ⁇ / 4 wavelength layer is as described above, and the term " ⁇ / 2 wavelength layer" means a phase delay element capable of delaying a phase by 1/2 of each wavelength with respect to incident light. do.
- the observer who observes the image signal includes a right eye lens and a left eye lens, and the right eye lens and the left eye lens are respectively.
- An image signal may be observed while wearing polarizing glasses including a ⁇ / 4 wavelength layer and a polarizing plate.
- the polarizing glasses including the ⁇ / 4 wavelength layer as described above may be referred to as circularly polarized glasses.
- the left-eye and right-eye lenses of the circularly polarized glasses may include a lens, a polarizing plate, and a ⁇ / 4 wavelength layer sequentially from the viewer's side when the viewer wears the glasses.
- the image signal may include a lens for the right eye and the left eye, and the right eye and the left eye lenses may wear polarizing glasses including polarizing plates, respectively, and observe the image signal.
- polarizing glasses including polarizing plates, respectively, and observe the image signal.
- such type of polarized glasses may be referred to as linear polarized glasses.
- the optical axis of the wavelength layer and the absorption axis of the polarizing plate may be adjusted as described above.
- the retardation film may be a + C or + B plate.
- the right eye image light refers to light transmitted through a region where only the ⁇ / 4 wavelength layer exists in the polarization control layer, and the left eye image.
- the light may refer to light transmitted through a region in which the ⁇ / 2 wavelength layer and the ⁇ / 4 wavelength layer exist simultaneously in the polarization control layer.
- the retardation in the thickness direction determined according to Formula 6 or 7 may be, for example, about 50 nm to 270 nm.
- the phase difference in the thickness direction of the region through which the right eye image light is transmitted in the + C plate may be adjusted according to Equation 6 above, for example, 140 nm to 200 nm, preferably 150 nm to 190 nm.
- the phase difference in the thickness direction of the region through which the left eye image light passes may be adjusted according to Formula 7, for example, 60 nm to 120 nm, preferably 70 nm to 110 nm.
- the observer may wear the circularly polarized glasses and observe the stereoscopic image display device, but the present invention is not limited thereto.
- the position thereof is not particularly limited, and for example, may be attached to the polarization control layer of the image display unit or to the front surface of the polarizing glasses. Can be.
- the phase difference in the thickness direction between the left eye image light and the right eye image light it is preferable to attach it to the entire surface of the polarizing glasses for the convenience of the process.
- the retardation in the thickness direction determined according to the general formula may be, for example, about 50 nm to 350 nm.
- the plane direction retardation R in of the + B plate may be, for example, about 120 nm to 160 nm.
- the phase difference in the thickness direction of the region through which the right eye image light is transmitted in the + B plate may be adjusted by Equation 8, for example, 150 nm to 350 nm, preferably 200 nm to 300 nm.
- the phase difference in the thickness direction of the region through which the left eye image light is transmitted may be adjusted by Formula 9, and may be, for example, 50 nm to 250 nm, preferably 100 nm to 150 nm. .
- the phase difference in the thickness direction in the region through which the left eye image light transmits and the region through which the right eye image light transmits is preferably different from each other.
- the observer may wear the above-mentioned linearly polarized glasses and observe the stereoscopic image display device, but is not limited thereto.
- the arrangement position of such retardation film is as above-mentioned.
- the retardation film may be a + C plate or a + B plate, but more preferably a + C plate.
- the polarization control layer is a patterned ⁇ / 4 wavelength layer
- light passing through any one of the ⁇ / 4 wavelength layers among the ⁇ / 4 wavelength layers having different optical axes is designated as right-eye image light.
- the light passing through the region of the ⁇ / 4 wavelength layer having an optical axis different from the above can be designated as the left eye image light.
- the retardation in the thickness direction determined according to the general formula may be, for example, about 30 nm to 350 nm.
- the phase difference in the thickness direction of the region through which the right eye image light is transmitted in the + C plate may be adjusted according to the general formula (6), for example, 150 nm to 350 nm, preferably 200 nm to 300 nm.
- the phase difference in the thickness direction of the region through which the left eye image light is transmitted may also be adjusted according to Equation 6, for example, 50 nm to 250 nm, preferably 100 nm to 150 nm.
- the observer may wear the circularly polarized glasses and observe the stereoscopic image display device, but the present invention is not limited thereto.
- the arrangement position of such retardation film is as above-mentioned.
- the polarization control layer when the polarization control layer generates linearly polarized light such that the polarization control layers have substantially perpendicular directions, the polarization control layer includes a right eye image light polarization control region and a left eye.
- the image light polarization control region, wherein the polarization control layer may include a lambda / 2 wavelength layer disposed only in any one of the right or left eye image light polarization control region.
- this type of polarization control layer may be referred to as a “patterned ⁇ / 2 wavelength layer”.
- the retardation film may be a + C plate or a + B plate, but more preferably a + B plate.
- the right eye image light refers to light transmitted through a region where the ⁇ / 2 wavelength layer does not exist in the polarization control layer
- the left eye image light is The light transmitted through the region in which the ⁇ / 2 wavelength layer is present in the polarization control layer may be referred to.
- the phase difference in the thickness direction of the + B plate determined according to the general formula may be, for example, about 50 nm to 350 nm.
- the plane direction phase difference R in of the + B plate may be, for example, about 120 nm to 160 nm.
- the phase difference in the thickness direction of the region through which the right eye image light is transmitted in the + B plate may be adjusted according to Formula 10, for example, 150 nm to 350 nm, preferably 200 nm to 300 nm.
- the phase difference in the thickness direction of the region through which the left eye image light is transmitted may be adjusted according to Formula 11, for example, 50 nm to 250 nm, preferably 100 nm to 200 nm.
- the observer may wear the circularly polarized glasses and observe the stereoscopic image display device, but the present invention is not limited thereto.
- the arrangement position of such retardation film is as above-mentioned.
- the specific kind of retardation film which can be used by the above-mentioned content is not specifically limited, As long as it shows the retardation characteristic of the range mentioned above, all the various retardation films known in this field can be used.
- the retardation film may be a liquid crystal film or a conventional polymer film, and in the case of the polymer film, the retardation film may be a polymer film whose phase difference is adjusted in a thickness direction through uniaxial or biaxial stretching.
- the present invention also includes a polarization control layer that can be output by adjusting the image signal including the right eye image light and the left eye image light, the right eye and left eye image light to have a different polarization state; And a phase difference film attached to a side from which the image signal is emitted from the polarization control layer and having a phase difference in the thickness direction.
- the optical filter is intended to be applied to the stereoscopic image display device of the polarizing glasses method described above, and is an optical filter in which a retardation film for improving the image quality is attached to and integrated with the polarization control layer.
- FIG. 6 shows a form in which the retardation film 16 is attached to the polarization control layer 15 as one exemplary optical filter 6.
- an arrow indicates an advancing direction of an image signal including left and right eye image lights when the stereoscopic image display device is driven.
- the above-described content may be applied to the retardation values such as specific types of retardation films, retardation, and the like.
- the retardation film included in the optical filter is a + C plate whose phase difference satisfies the following general formula 6 or 7, or as a + B plate, the phase difference is any one of the following general formulas 8 to 11 Can satisfy the relationship.
- X is a phase difference in the thickness direction of the + C plate
- X is a phase difference in the thickness direction of the + B plate.
- Y R and Y L are the crosstalk rates (Cd / m 2 ) in the left eye and the right eye, respectively, when the stereoscopic image display device to which the optical filter is applied is preferably.
- the polarization control layer in the optical filter constitutes the polarization control layer in the above-described stereoscopic image display device.
- the aforementioned patterned ⁇ / 2 or ⁇ / 4 wavelength layer or ( ⁇ / 2 + ⁇ / 4) wavelength layer are known, and the configuration of the polarization control layer is known. In the city, all of the above known methods may be used.
- the polarization control layer is disposed on the side where the image signal generated by the image display unit is incident, and the image signal transmitted through the polarization control layer is transmitted to the observer side via the retardation film. Can be.
- the method of attaching the retardation film to the polarization control layer is not particularly limited, and for example, may be configured by laminating using a conventional pressure-sensitive adhesive or an adhesive.
- the present invention also has a right eye lens and a left eye lens, wherein the right eye lens and the left eye lens are each related to a polarizing glasses for stereoscopic image observation including a phase difference film and a polarizing plate having a phase difference in a thickness direction.
- the polarizing glasses are used for observing an image emitted from the stereoscopic image display device of the polarizing glasses type, for example, and a phase difference film for improving the image quality on the front surface of the circularly polarized or linearly polarized glasses described above is provided. It may be a polarizing glasses of the attached form.
- FIG. 7 is a view showing exemplary polarizing glasses, and FIG. 7A shows the left eye lens including the polarizing plate 71L and the retardation film 72L and the right eye of the observer, which is located on the left eye LE of the observer.
- the polarizing glasses including the right eye lens including the polarizing plate 71R and the retardation film 72R as positioned at RE) are shown. Arrows in Figs. 7A and 7B show directions of an image signal incident to an observer.
- the above-described content may be applied to the retardation values such as specific types of retardation films, retardation, and the like.
- the retardation film included in the polarizing glasses as the + C plate, the phase difference satisfies the relationship of the following general formula 6 or 7, or as + B plate, the phase difference is any one of the following general formulas 8 to 11 Can satisfy the relationship.
- X is a phase difference in the thickness direction of the + C plate
- X is a phase difference in the thickness direction of the + B plate.
- Y R and Y L are crosstalk rates (Cd / m 2 ) in the left eye and the right eye, respectively, in the process of observing stereoscopic images using the polarizing glasses, and preferably the numerical value is 0.3 or less, more preferably 0.1 or less, more preferably 0.05 or less, and still more preferably 0.01 or less.
- the left eye and right eye lenses may further include a ⁇ / 4 wavelength layer.
- the absorption axes of the polarizing plates included in the right and left eye lenses are horizontal to each other, and the ⁇ / 4 wavelength layers included in the right and left eye lenses have different optical axes.
- the absorption axes of the polarizing plates included in the right eye and left eye lenses may have different directions, and the ⁇ / 4 wavelength layers included in the right eye and left eye lenses may have parallel optical axes.
- FIG. 7B is an exemplary view of a polarizing glasses, which is located in the left eye LE of an observer and includes a left eye lens including a polarizing plate 71L, a ⁇ / 4 wavelength layer 73L, and a phase difference film 72L.
- the polarizing glasses including the right eye lens including the polarizing plate 71R, the ⁇ / 4 wavelength layer 73R, and the retardation film 72R as being positioned in the right eye RE of the observer.
- the present invention also provides a method for improving the quality of a stereoscopic image displayed through an image display unit which generates an image signal including right eye and left eye image light to be incident to the observer's right eye and left eye, respectively, and transmits it to the observer's side. And reposing a phase difference film having a phase difference in a thickness direction so that an image signal emitted from the image display unit may pass through the phase difference film in a thickness direction and be transmitted to an observer. will be.
- the stereoscopic image display device, the optical filter, or the manufacturing method of the polarizing glasses which can improve stereoscopic image quality by placing an appropriate phase difference film between the image display unit and the observer.
- the method may be a method of using a stereoscopic image display device in which an observer wears the polarized glasses and observes a stereoscopic image.
- the specific type of the retardation film, the retardation value, and the arrangement position in the apparatus or the glasses may be equally applied.
- the retardation film used in the method is a + C plate whose retardation satisfies the relationship of the following general formula 6 or 7, or as a + B plate, the retardation of any of the following general formulas 8 to 11 Can satisfy the relationship.
- X is a phase difference in the thickness direction of the + C plate
- X is a phase difference in the thickness direction of the + B plate.
- Y R and Y L are the crosstalk rates (Cd / m 2 ) in the left eye and the right eye, respectively, when the stereoscopic image display device is driven.
- the numerical values are respectively or simultaneously 0.3. Or less, more preferably 0.1 or less, more preferably 0.05 or less, and still more preferably 0.01 or less.
- the method is a manufacturing method such as a stereoscopic image display device, an optical filter, or polarizing glasses, other specific steps or types of parts to be used, as long as the above-described retardation film is disposed at an appropriate position during the method Is not particularly limited, and all of the general contents known in the art may be applied.
- the present invention provides a stereoscopic image display device and an optical filter for a stereoscopic image display device, which can prevent crosstalk or decrease the viewing angle without reducing luminance when displaying a stereoscopic image, and can improve image quality such as contrast ratio.
- the present invention can provide a polarizing glasses for observing stereoscopic images or a method for improving the quality of stereoscopic images.
- FIG. 1 is a cross-sectional view illustrating one exemplary display device.
- FIGS. 2 and 3 exemplarily illustrate the arrangement of the right eye and left eye image generation regions in the stereoscopic image display apparatus.
- 4 and 5 are diagrams exemplarily showing the arrangement of the right and left eye polarization control regions of the polarization control layer of the stereoscopic image display device.
- FIG. 6 is a diagram illustrating an optical filter for an exemplary stereoscopic image display device.
- FIG. 7 is a diagram illustrating an exemplary polarizing glasses for stereoscopic image observation.
- the retardation of the retardation film is measured using light having a wavelength of 550 nm or 589 nm.
- Axoscan manufactured by Axomatrics
- a device capable of measuring 16 Muller Matrix, 16 Muller matrices of the retardation film are measured according to the manufacturer's manual, and the phase difference is extracted therefrom. .
- the crosstalk rate of a stereoscopic imaging apparatus may be defined as a ratio of luminance in a dark state and a bright stat, and a method of measuring the crosstalk rate according to each stereoscopic image display apparatus is known in the art.
- a method of measuring the crosstalk rate according to each stereoscopic image display apparatus is known in the art.
- the crosstalk rate in this embodiment using the stereoscopic image display device of the polarizing glasses method is measured in the following manner. First, polarizing glasses for stereoscopic image observation are placed at a normal observation point of the stereoscopic image display apparatus.
- the observation point when the observer observes a stereoscopic image, the observation point is a distance that is 3/2 times the length of the horizontal direction of the stereoscopic image display device from the center of the stereoscopic image display device.
- the horizontal length of the stereoscopic image display device may be a horizontal length based on the observer, for example, a horizontal length of the image display device when a viewer observes a stereoscopic image. .
- the luminance meter (equipment name: SR-UL2 Spectrometer) is disposed on the back of the left and right eye lenses of the polarizing glasses while the stereoscopic image display device outputs the left eye image. Measure the brightness.
- the luminance measured at the back of the left eye lens is the brightness of the bright state
- the luminance measured at the back of the lens of the right eye is the brightness of the dark state.
- the ratio of the brightness of the dark state to the brightness of the bright state ([brightness of the dark state] / [brightness of the bright state]) is obtained and defined as the crosstalk rate Y L in the left eye. can do.
- the crosstalk rate Y R in the right eye may be measured in the same manner as described above, and the luminance may be measured by measuring the brightness in the light and dark states while the stereoscopic image display device is outputting the right eye image.
- the brightness measured at the back of the left eye lens is the brightness of the dark state
- the brightness measured at the back of the right eye lens is the brightness of the light state
- the ratio ([brightness of the dark state / brightness of the light state) is the same. ])
- the crosstalk rate according to the horizontal viewing angle is evaluated in the following manner.
- the polarizing glasses for stereoscopic image observation are placed at a normal viewing point of the stereoscopic image display device, and the viewing angle is 0 degrees in the horizontal direction with respect to the observer.
- the crosstalk rates (Y L and Y R ) are measured in the same manner as in item 2 above, with 5 degrees increments up to 80 degrees.
- the angle of the observer's gaze when the observer observes the center of the stereoscopic image display device at a normal observation point is set as a reference (0 degree), and the degree of change in the observer's gaze in the horizontal direction based on the reference.
- the angle of is measured.
- the crosstalk rate in said 2. item is the numerical value measured at the observation angle of 0 degree.
- the brightness of the crosstalk relative to the horizontal viewing angle is determined by placing the polarizing glasses for stereoscopic image observation at a normal observation point of the stereoscopic image display device as described in the above 3. Evaluation method of the crosstalk rate.
- the observation angle is measured in the same manner as in item 2. while varying the observation angle by 5 degrees from 0 to 80 degrees in the horizontal direction.
- Crosstalk than a brightness corresponding to the horizontal viewing angle of the left eye (left CR) is to be calculated by the formula 12, the luminance (CR right) compared to the crosstalk of the horizontal viewing angle of the right eye is to be calculated by the formula 13.
- CR left luminance of the left eye image light transmitted through the left eye area of the polarizing glasses / crosstalk rate in the left eye (Y L )
- CR right luminance of the right eye image light transmitted through the right eye area of the polarizing glasses / crosstalk rate in the right eye (Y R )
- the ⁇ / 4 wavelength layer having a slow axis of 45 degrees with respect to the transmission axis of the polarizing plate (14 of FIG. 1) is provided in the polarization control region (R of FIG. 1) of the right eye image light.
- a polarizing film including a right eye lens and a left eye lens, and having a transmission axis oriented at 90 degrees with respect to the transmission axis of the polarizing plate 14 of FIG. 1, on the right eye lens, transmission of the polarizing plate 14 of FIG. 1.
- a ⁇ / 4 wavelength layer having a slow axis oriented at 45 degrees with respect to the axis and a + C plate are sequentially attached, and having a transmission axis oriented at 90 degrees with respect to the transmission axis of the polarizer (14 in FIG. 1) on the left eye lens.
- a polarizing glasses circularly polarized glasses
- a ⁇ / 4 wavelength layer having a slow axis oriented at -45 degrees relative to the transmission axis of the polarizing plate (14 in FIG. 1), and a + C plate are sequentially attached.
- the crosstalk rate observed in the left or right eye is measured in the above-described manner while changing the phase difference in the thickness direction of the + C plate attached to the left and right eye lenses, and the result is shown in FIG. 8. It was.
- the + C plate a retardation film produced by using a photocurable vertical alignment liquid crystal having a birefringence ( ⁇ n) of 0.1 as a retardation film of a conventional liquid crystal film type was used.
- Fig. 8A shows the crosstalk rate Y L in the left eye in the above case, where the x axis represents the phase difference in nm in the thickness direction of the + C plate, and the y axis represents the crosstalk rate Cd. / m 2 ).
- the lens for the right eye was a liquid crystal film prepared by coating a + C plate having a phase difference in the thickness direction of 170 nm (a photocurable vertical alignment liquid crystal having a birefringence ⁇ n of 0.1 to a thickness of 1.7 ⁇ m).
- Type retardation film a photocurable vertical alignment liquid crystal having a birefringence ( ⁇ n) of 0.1 nm) having a thickness of 90 nm with a thickness of 0.9 ⁇ m.
- the stereoscopic image display device and the polarizing glasses were configured in the same manner as in Example 1, except that the type of retardation film) was attached.
- the stereoscopic image display device and the polarizing glasses were constructed in the same manner as in Example 2 except that the + C plate was not attached to the right and left eye lenses.
- FIG. 9A shows the crosstalk rate in the left eye according to the horizontal viewing angle, where the x-axis shows the horizontal viewing angle (unit: degrees), and the y-axis shows the crosstalk rate (Cd / m 2 ).
- 9 (b) shows the crosstalk rate in the right eye according to the horizontal viewing angle, the x-axis shows the horizontal viewing angle (unit: degrees), and the y-axis shows the crosstalk rate (Cd / m 2 ).
- the dotted line in each figure shows the result about Comparative Example 1, and the solid line shows the result about Example 2.
- the luminance compared to the crosstalk according to the horizontal viewing angle was measured in the above manner, and this is illustrated in FIG. 10.
- the x-axis represents a horizontal viewing angle (unit: degrees) and the y-axis represents luminance CR left .
- the x-axis represents a horizontal viewing angle (unit: degrees)
- the y-axis represents luminance CR right .
- the dotted line in each figure shows the result about Comparative Example 1
- the solid line shows the result about Example 2.
- a polarizing film including a right eye lens and a left eye lens, wherein the polarizing film has a transmission axis oriented at 90 degrees with respect to the transmission axis of the polarizing plate (14 of FIG. 1) of the display device on the right eye lens, and a phase difference in a plane direction.
- a + B plate having a (R in ) of 140 nm is sequentially attached, and a polarizing film having a transmission axis oriented at 90 degrees on the left eye lens and a + B plate having a phase difference (R in ) of 140 nm in the plane direction are sequentially.
- the stereoscopic image display device and the polarizing glasses were configured in the same manner as in Example 1, except that the polarizing glasses (linear polarized glasses) attached thereto were configured, and the image emitted from the stereoscopic image display device thus constructed was observed.
- the crosstalk rate observed in the left or right eye is measured in the above-described manner while changing the phase difference in the thickness direction of the + B plate attached to the left and right eye lenses, and the result is shown in FIG. 11. It was.
- a COP (cyclic olefin polymer) type phase difference film commonly used as a + B plate was used as the + B plate.
- Fig. 11 (a) shows the crosstalk rate Y L in the left eye, where the x-axis shows the phase difference (unit: nm) in the thickness direction of the + B plate, and the y-axis shows the crosstalk rate (Cd / m 2 ). Indicates.
- FIG 11 (b) shows the crosstalk rate (Y R ) in the right eye, where the x axis represents the phase difference (unit: nm) in the thickness direction of the + B plate, and the y axis represents the crosstalk rate (Cd / m). 2 ).
- the right eye lens has a + B plate (COP (cyclic olefin polymer) type phase difference film (thickness: 80 ⁇ m)) having a phase difference of 240 nm in thickness direction and 137.5 nm in surface direction. And a + B plate (COP (cyclic olefin polymer) series retardation film (thickness: 80 ⁇ m)) having a phase difference of 130 nm and a thickness of 137.5 nm in the plane direction to the left eye lens. Except for the three-dimensional image display device and the polarizing glasses were configured in the same manner as in Example 3.
- COP cyclic olefin polymer
- the display device and the polarizing glasses were configured in the same manner as in Example 4 except that the + B plate was not attached to the right eye and left eye lenses.
- Luminance due to the crosstalk of the left eye image light and the right eye image light according to the horizontal viewing angle in the process of using the apparatus of Example 4 and Comparative Example 2 was measured in the above manner, and it is shown in FIG. 13.
- the x-axis represents a horizontal viewing angle (unit: degrees)
- the y-axis represents luminance CR left .
- the x axis represents a horizontal viewing angle (unit: degrees)
- the y axis represents luminance CR right .
- the dotted line in each figure shows the result about the comparative example 2, and the solid line shows the result about Example 4.
- ⁇ / 2 having a structure as shown in FIG. 1, but having a slow axis oriented at -45 degrees relative to the transmission axis of the polarizing plate 14 of FIG. 1 only in the polarization control region (L of FIG. 1) of the left eye image light.
- a polarization control layer (15 in FIG. 1) (patterned? / 2 wavelength layer) in which the wavelength layer is located, and a + B plate having a phase difference of 140 nm in the plane direction is attached to the entire surface of the polarization control layer
- the device was configured. Subsequently, a right eye lens and a left eye lens are included, and the polarizing film having a transmission axis oriented at 90 degrees with respect to the transmission axis of the polarizing plate (14 of FIG.
- the crosstalk rate observed in the left eye or the right eye was measured in the above-described manner while changing the phase difference in the thickness direction of the + B plate attached to the front surface of the polarization control layer, and the result is shown in FIG. 14. .
- a COP (cyclic olefin polymer) type phase difference film commonly used as a + B plate was used as the + B plate.
- the dotted line represents the crosstalk rate Y L (Cd / m 2 ) in the left eye
- the solid line represents the crosstalk rate Y R (Cd / m 2 ) in the right eye
- the x-axis represents the + B plate.
- the y axis represents the crosstalk rate (Cd / m 2 ).
- Example 5 a phase difference film of + B plate (COP (cyclic olefin polymer) series having a phase difference of 137.5 nm in the surface direction and 210 nm in the thickness direction on the front surface of the polarization control layer of the device (thickness : Stereoscopic image display device and polarizing glasses were configured in the same manner as in Example 5, except that (amount: 80 ⁇ m)) was attached.
- COP cyclic olefin polymer
- the stereoscopic image display device and the polarizing glasses were constructed in the same manner as in Example 6 except that the + B plate was not attached.
- FIG. 15A The incidence of crosstalk according to the horizontal viewing angle of the left eye image light and the right eye image light in the process of using the apparatus of Example 6 and Comparative Example 3 was measured in the same manner as above, and is shown in FIG. 15.
- the x-axis represents a horizontal viewing angle (unit: degrees)
- the y-axis represents a crosstalk rate Y L (Cd / m 2 ).
- the x axis represents a horizontal viewing angle (unit: degrees)
- the y axis represents a crosstalk rate Y R (Cd / m 2 ).
- the dotted line in each figure shows the result about the comparative example 3, and the solid line shows the result about Example 6.
- Luminance due to the crosstalk of the left eye image light and the right eye image light according to the horizontal viewing angle in the process of using the apparatus of Example 6 and Comparative Example 3 was measured in the same manner as above, and is shown in FIG. 16.
- the x axis represents a horizontal viewing angle (unit: degrees)
- the y axis represents luminance CR left .
- the x axis represents a horizontal viewing angle (unit: degrees)
- the y axis represents luminance CR right .
- the dotted line in each figure shows the result about the comparative example 3, and the solid line shows the result about Example 6.
- image generating layer 15 polarization control layer
- AR polarization control region of right eye image light
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Abstract
Description
Claims (23)
- 우안용 영상광과 좌안용 영상광을 포함하는 영상 신호를 생성하고, 이를 관찰자측으로 전달할 수 있는 영상 표시부; 및 두께 방향으로 위상차를 가지며, 상기 영상 표시부에서 전달되는 영상 신호를 두께 방향으로 투과시켜 관찰자측에 전달할 수 있도록 배치되어 있는 위상차 필름을 포함하는 입체 영상 표시 장치.
- 제 1 항에 있어서, 위상차 필름은, +C 플레이트 또는 +B 플레이트인 입체 영상 표시 장치.
- 제 2 항에 있어서, +C 플레이트는 하기 일반식 6 또는 7의 관계를 만족하고, +B 플레이트는 하기 일반식 8 내지 11 중 어느 하나의 관계를 만족하는 입체 영상 표시 장치:[일반식 6]0.0201X2 - 0.0398X + 0.0339 ≤ 0.5[일반식 7]0.0192X2 - 0.0763X + 0.0899 ≤ 0.5[일반식 8](9.24×10-7)X2 - 0.000236X + 0.0288 ≤ 0.5[일반식 9](5.5×10-7)X2 - 0.000347X + 0.067 ≤ 0.5[일반식 10](1.97×10-6)X2 - 0.000616X + 0.0644 ≤ 0.5[일반식 11](1.99×10-6)X2 - 0.00125X + 0.206 ≤ 0.5상기 일반식 6 및 7에서 X는 상기 +C 플레이트의 두께 방향의 위상차이고, 상기 일반식 8 내지 11에서 X는 상기 +B 플레이트의 두께 방향의 위상차이다.
- 제 3 항에 있어서, +C 플레이트에서 우안용 영상광이 투과되는 영역 및 좌안용 영상광이 투과되는 영역의 두께 방향의 위상차가 일반식 6의 관계를 만족하거나, 또는 +C 플레이트에서 우안용 영상광이 투과되는 영역의 두께 방향의 위상차가 일반식 6의 관계를 만족하고, 좌안용 영상광이 투과되는 영역의 두께 방향의 위상차는 일반식 7을 만족하는 입체 영상 표시 장치.
- 제 3 항에 있어서, +B 플레이트에서 우안용 영상광이 투과되는 영역의 두께 방향의 위상차는 일반식 8을 만족하고, 좌안용 영상광이 투과되는 영역의 두께 방향의 위상차는 일반식 9를 만족하거나, 우안용 영상광이 투과되는 영역의 두께 방향의 위상차는 일반식 10을 만족하고, 좌안용 영상광이 투과되는 영역의 두께 방향의 위상차는 일반식 11을 만족하는 입체 영상 표시 장치.
- 제 1 항에 있어서, 영상 표시부는, 우안용 영상광과 좌안용 영상광을 포함하는 영상 신호를 생성하여 관찰자측으로 전달할 수 있는 영상 생성부; 및 상기 영상 생성부에서 관찰자측에 배치되고, 또한 상기 영상 신호가 입사되면, 상기 우안용 영상광과 좌안용 영상광이 서로 상이한 편광 상태를 가지도록 조절하여, 관찰자측에 전달할 수 있는 편광 조절층을 포함하는 입체 영상 표시 장치.
- 제 6 항에 있어서, 편광 조절층은, 우안용 영상광 편광 조절 영역과 좌안용 영상광 편광 조절 영역을 포함하며, 또한 상기 편광 조절층은, 우안용 및 좌안용 영상광 편광 조절 영역에 배치되어 있는 λ/4 파장층과 우안용 및 좌안용 영상광 편광 조절 영역 중 어느 한 영역에만 배치되어 있는 λ/2 파장층을 포함하는 입체 영상 표시 장치.
- 제 7 항에 있어서, 위상차 필름이 +C 플레이트 또는 +B 플레이트인 입체 영상 표시 장치.
- 제 8 항에 있어서, +C 플레이트는 두께 방향의 위상차가 50 nm 내지 270 nm이고, +B 플레이트는 두께 방향의 위상차가 50 nm 내지 350 nm인 입체 영상 표시 장치.
- 제 6 항에 있어서, 편광 조절층은, 우안용 영상광 편광 조절 영역과 좌안용 영상광 편광 조절 영역을 포함하며, 또한 상기 편광 조절층은, 우안용 및 좌안용 영상광 편광 조절 영역에 배치된 λ/4 파장층을 포함하고, 상기 우안용 영상광 편광 조절 영역에 배치된 λ/4 파장층과 상기 좌안용 영상광 편광 조절 영역에 배치된 λ/4 파장층은 서로 상이한 광축을 가지는 입체 영상 표시 장치.
- 제 10 항에 있어서, 위상차 필름은 +C 플레이트인 입체 영상 표시 장치.
- 제 11 항에 있어서, +C 플레이트는 두께 방향의 위상차가 30 nm 내지 350 nm인 입체 영상 표시 장치.
- 제 6 항에 있어서, 편광 조절층은, 우안용 영상광 편광 조절 영역과 좌안용 영상광 편광 조절 영역을 포함하며, 또한 상기 편광 조절층은, 상기 우안용 및 좌안용 영상광 편광 조절 영역 중 어느 한 영역에만 배치되어 있는 λ/2 파장층을 포함하는 입체 영상 표시 장치.
- 제 13 항에 있어서, 위상차 필름은 +B 플레이트인 입체 영상 표시 장치.
- 14 항에 있어서, +B 플레이트는 두께 방향의 위상차가 50 nm 내지 350 nm인 입체 영상 표시 장치.
- 우안용 영상광과 좌안용 영상광을 포함하는 영상 신호가 입사되면, 상기 우안용 및 좌안용 영상광이 서로 다른 편광 상태를 가지도록 조절하여 출사시킬 수 있는 편광 조절층; 및 상기 편광 조절층으로부터 영상 신호가 출사되는 측에 부착되어 있고, 또한 두께 방향으로 위상차를 가지는 위상차 필름을 포함하는 입체 영상 표시 장치용 광학 필터.
- 제 16 항에 있어서, 위상차 필름은, 하기 일반식 6 또는 7의 관계를 만족하는 +C 플레이트이거나, 하기 일반식 8 내지 11 중 어느 하나의 관계를 만족하는 +B 플레이트인 입체 영상 표시 장치용 광학 필터:[일반식 6]0.0201X2 - 0.0398X + 0.0339 ≤ 0.5[일반식 7]0.0192X2 - 0.0763X + 0.0899 ≤ 0.5[일반식 8](9.24×10-7)X2 - 0.000236X + 0.0288 ≤ 0.5[일반식 9](5.5×10-7)X2 - 0.000347X + 0.067 ≤ 0.5[일반식 10](1.97×10-6)X2 - 0.000616X + 0.0644 ≤ 0.5[일반식 11](1.99×10-6)X2 - 0.00125X + 0.206 ≤ 0.5상기 일반식 6 내지 11에서 X는 상기 +C 플레이트 또는 +B 플레이트의 두께 방향의 위상차이다.
- 우안용 렌즈 및 좌안용 렌즈를 가지되, 상기 우안용 및 좌안용 렌즈는 각각 두께 방향으로 위상차를 가지는 위상차 필름 및 편광판을 포함하는 입체 영상 관찰용 편광 안경.
- 제 18 항에 있어서, 위상차 필름은, 하기 일반식 6 또는 7의 관계를 만족하는 +C 플레이트이거나, 하기 일반식 8 내지 11 중 어느 하나의 관계를 만족하는 +B 플레이트인 입체 영상 관찰용 편광 안경:[일반식 6]0.0201X2 - 0.0398X + 0.0339 ≤ 0.5[일반식 7]0.0192X2 - 0.0763X + 0.0899 ≤ 0.5[일반식 8](9.24×10-7)X2 - 0.000236X + 0.0288 ≤ 0.5[일반식 9](5.5×10-7)X2 - 0.000347X + 0.067 ≤ 0.5[일반식 10](1.97×10-6)X2 - 0.000616X + 0.0644 ≤ 0.5[일반식 11](1.99×10-6)X2 - 0.00125X + 0.206 ≤ 0.5상기 일반식 6 내지 11에서 X는 상기 +C 플레이트 또는 +B 플레이트의 두께 방향의 위상차이다.
- 제 18 항에 있어서, 좌안용 및 우안용 렌즈는 각각 λ/4 파장층을 추가로 포함하는 입체 영상 관찰용 편광 안경.
- 제 20 항에 있어서, 우안용 및 좌안용 렌즈에 포함되는 편광판의 흡수축은 서로 수평 방향을 이루고, 상기 우안용 및 좌안용 렌즈에 포함되는 λ/4 파장층은 서로 상이한 광축을 가지거나, 또는 우안용 및 좌안용 렌즈에 포함되는 편광판의 흡수축은 서로 상이한 방향을 이루고, 상기 우안용 및 좌안용 렌즈에 포함되는 λ/4 파장층은 서로 평행한 광축을 가지는 입체 영상 관찰용 편광 안경.
- 관찰자의 우안과 좌안에 각각 입사될 우안용 및 좌안용 영상광을 포함하는 영상 신호를 생성하고, 이를 관찰자측으로 전달할 수 있는 영상 표시부를 통하여 표시되는 입체 영상의 품질을 향상시키는 방법으로, 두께 방향으로 위상차를 가지는 위상차 필름을 상기 영상 표시부에서 출사되는 영상 신호가 상기 위상차 필름을 두께 방향으로 투과하여 관찰자측에 전달될 수 있도록 배치하는 단계를 포함하는 입체 영상의 품질 개선 방법.
- 제 22 항에 있어서, 위상차 필름은, 하기 일반식 6 또는 7의 관계를 만족하는 +C 플레이트이거나, 하기 일반식 8 내지 11 중 어느 하나의 관계를 만족하는 +B 플레이트인 입체 영상의 품질 개선 방법:[일반식 6]0.0201X2 - 0.0398X + 0.0339 ≤ 0.5[일반식 7]0.0192X2 - 0.0763X + 0.0899 ≤ 0.5[일반식 8](9.24×10-7)X2 - 0.000236X + 0.0288 ≤ 0.5[일반식 9](5.5×10-7)X2 - 0.000347X + 0.067 ≤ 0.5[일반식 10](1.97×10-6)X2 - 0.000616X + 0.0644 ≤ 0.5[일반식 11](1.99×10-6)X2 - 0.00125X + 0.206 ≤ 0.5상기 일반식 6 내지 11에서 X는 상기 +C 플레이트 또는 +B 플레이트의 두께 방향의 위상차이다.
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