Abstract: A method of making a fascia for an automobile includes providing an article, the article being one of translucent or transparent and applying a deposited pattern onto at least a first portion of a first side of the article. The method further includes forming the article into a shape, the shape being configured to be consonant with a vehicle exterior configuration. A fascia system includes a transparent member mounted on a vehicle, the member having printed matter on one side, and the member being included into a vehicle exterior design. Additionally, the member is oriented in front of an illumination device and is illuminated by the device.

Abstract: Provided is a decorative member including a substrate and a decorative layer provided on the substrate, wherein the decorative member has a depth parameter value ?1m represented by Formula 1 of 0.15 or more.

Abstract: The present application relates to a decorative member including a color developing layer including a light reflective layer and a light absorbing layer provided on the light reflective layer; and a substrate provided on one surface of the color developing layer, wherein the light absorbing layer includes a copper oxide (CuaOx).

Abstract: The present application relates to a decoration member including a substrate layer having a convex structure or a concave structure arranged two-dimensionally, and a method for preparing the decoration member.

Abstract: A droplet sensor includes an optical cover having a curved surface that forms a part of a spheroid, a protective film that covers the curved surface of the optical cover, a light source provided at a first focal point of an ellipse facing the curved surface, and a photodetector provided at a second focal point of the ellipse. The refractive index of the protective film is greater than the refractive index of a liquid to be detected. A sensing region is determined by a range of an incident angle at which a light beam emitted from the light source and incident onto the curved surface is totally reflected at the interface between the protective film and a gas, and is not totally reflected at the interface between the protective film and the liquid to be detected.

Abstract: A bandpass filter may include a set of layers. The set of layers may include a first subset of layers. The first subset of layers may include hydrogenated germanium (Ge:H) with a first refractive index. The set of layers may include a second subset of layers. The second subset of layers may include a material with a second refractive index. The second refractive index may be less than the first refractive index.

Abstract: A vehicle lamp includes a lamp housing having an inner space and a welding surface, and a cover that covers the inner space and is joined to the lamp housing by laser welding to be disposed adjacent to another vehicle lamp. The cover includes a design surface portion and a welding leg. An end portion of the outer peripheral portion of the design surface portion on another vehicle lamp side is provided as an adjacent side end portion. The welding leg includes a facing surface portion that protrudes from the adjacent side end portion and faces the other vehicle lamp. The facing surface portion is provided at a position extending from an upper end portion to a lower end portion of the adjacent side end portion.

Abstract: An optical thin film provided on a base substrate, includes a layer whose main component is ytterbium oxide, and a layer whose main component is magnesium fluoride. The layer whose main component is magnesium fluoride disposed on the layer whose main component is ytterbium oxide. The layer whose main component is magnesium fluoride is positioned opposite from the base substrate with respect to the layer whose main component is ytterbium oxide.

Abstract: A near eye display (NED) includes an electronic display configured to output image light. Further, the NED includes an eye tracking module and multiple optical elements that are combined to form an optical system to allow for changes in position of one or both eyes of a user of the NED. Various types of such optical elements, which may have optical states that are switchable, may be used to steer a light beam toward the user's eye. A direction of the steering may be based on eye tracking information measured by the eye tracking module.

Abstract: A display apparatus includes a substrate comprising a display area and a non-display area. A light-emitting device is on the display area. A thin-film encapsulation layer is on the light-emitting device. The thin-film encapsulation layer includes at least one inorganic encapsulation layer and at least one organic encapsulation layer. The organic encapsulation layer includes a plurality of organic particles having a core-shell structure that includes a hollow core and a shell surrounding the hollow core. A touch unit is on the thin-film encapsulation layer.

Abstract: One embodiment can provide a laminate film for optical filtering. The laminate film can include a flexible substrate, one or more Bragg-reflector stacks positioned on the flexible substrate, and a high-refractive-index layer positioned on the one or more Bragg-reflector stacks. A respective Bragg-reflector stack has a number of layers with alternating refractive indices, and the Bragg-reflector is configured to have a stopping band with a predetermined center wavelength. A refractive index of the high-refractive-index layer is greater than that of an adjacent layer of the one or more Bragg-reflector stacks, thereby reducing incident-angle sensitivity of the one or more Bragg-reflector stacks. Moreover, at least one Bragg-reflector stack is configured to achieve a predetermined hue.

Abstract: A touch display device is provided. The touch display device includes a substrate and a plurality of display units disposed on the substrate, wherein the display units form a display region and the display region has a first outline. The touch display device further includes an insulating layer disposed on the display units and a plurality of touch units disposed on the insulating layer, wherein the touch units form a touch region, and the touch region has a second outline. The touch display device further includes a reflection reducing layer disposed on the touch units, the reflection reducing layer is in contacted with the touch units and has a third outline, wherein the first outline and the second outline are located within the third outline in a view of a first direction perpendicular to the substrate.

Abstract: An objective of the present disclosure is to ensure a sufficient visual field of the exterior as viewed by a lens wearer, the lens having a highly ornamental matte-colored visual appearance. A semitransparent lens 11 has a lens substrate 12, a reflection layer 13, a hard-coat layer 15, and an intermediate layer 14. A surface of the lens substrate 12 has fine irregularities. The reflection layer 13 is disposed on the lens substrate 14. The hard-coat layer 15 is disposed on the reflection layer 13. The intermediate layer 14 is arranged between the lens substrate 12 and the reflection layer 13, and is formed from a material having a difference in refractive index less than or equal to 0.03 relative to the hard-coat layer 15. Haze value of the semitransparent lens 11 is in a range of 0.4 to 2.5 as measured in accordance with ISO 12312-1 according to the test method of ISO 12317.97.

Abstract: Provided is a polarizing film laminate comprising: an element substrate; a polarizer; a transparent electroconductive layer patterned so as to function as a touch sensor; and a pressure-sensitive adhesive layer, wherein the adhesive layer comprises: a base adhesive zone made of a transparent base pressure-sensitive adhesive material and formed over a given range from the adhesive layer in a thickness direction of the adhesive layer; and a refractive index adjustment zone formed over a given range from the adhesive layer in the thickness direction and comprising the base adhesive material and material infiltrated into the base adhesive material and different from the base adhesive material, the refractive index adjustment zone having an average refractive index greater than a refractive index of the base adhesive material, and wherein the base adhesive material zone of the adhesive layer is located on the side of the element substrate.

Abstract: A polymer gel electrolyte containing at least a lithium salt and an aprotic solvent, in which an amorphous polymer layer is formed on the surface of an electrode active material.

Abstract: The present application provides a photocurable resin composition for transferring surface free energy, the photocurable resin composition including a first compound exhibiting low surface free energy, a second compound exhibiting surface free energy higher than the surface free energy of the first compound, and a photopolymerization initiator, wherein a difference in transmittance of the photocurable resin composition to a wavelength of 450 nm between before and after addition of the first compound is less than 79.3%, and a method for producing a substrate using the photocurable resin composition.

Abstract: The translucent structure of the present invention has a haze of higher than 10% and at most 70% and has a concavo-convex structure on its surface. The concavo-convex structure has first convex portions having a diameter of larger than 10 ?m in a cross section at a height of 0.05 ?m+the bearing height of a surface shape, and second convex portions having a diameter of larger than 1 ?m in a cross section at a height of 0.5 ?m+the bearing height. The average diameter of the first convex portions is larger than 10 ?m and at most 185 ?m in a cross section at a height of 0.05 ?m+the bearing height. The maximum height of the first convex portions is from 0.2 to 8 ?m. The number of the second convex portions is from 0.0004 to 1.2 per 1 um2.

Abstract: The present invention aims to provide a water-repellant and oil-repellant coating composition which has good water-repellant and oil-repellant characteristics and further improves abrasion resistance, and a transparent film produced therefrom. The present invention is a water-repellant and oil-repellant coating composition comprising a first organic silicon compound (A) in which a fluorine-containing group having a perfluoroalkyl group or a perfluoropolyether group on the free end side thereof and a hydrolyzable group are bonded to a silicon atom thereof, and a second organic silicon compound (B) that is a hydrolyzable silane oligomer or a compound in which a carbon fluoride-containing group and a hydrolyzable group are bonded to a silicon atom thereof and that has a vapor pressure at 100° C. of 1 atm or less.

Abstract: The present invention provides a cover element having a pressure-sensitive adhesive sheet preliminarily laminated thereto, wherein the pressure-sensitive adhesive sheet comprises a pressure-sensitive adhesive layer in which a refractive index adjustment zone having a refractive index greater than that of a base pressure-sensitive adhesive material thereof is formed over a given range from a surface of the pressure-sensitive adhesive layer in a thickness direction thereof, whereby: in a lamination process of a customer which is a supply destination of the cover element, it becomes possible to eliminate a need to distinguish between obverse and reverse sides of the pressure-sensitive adhesive sheet itself; and, when the cover element is bonded to an optical element through the pressure-sensitive adhesive layer, it becomes possible to suppress internal reflection in a laminate formed of these optical elements.

Abstract: A transparent film is provided, enabling a printed matter that is less likely to exhibit apparently white-tinged images and has less degraded image quality. The transparent film of an embodiment of the present application includes a support; an anti-reflection layer disposed on one side of the support; and an ink-absorbing layer disposed on the other side of the support. The anti-reflection layer preferably has, on the surface thereof on the side opposite to the support, an anti-reflection structure with multiple protrusions disposed at a pitch not greater than the visible light wavelength.

Abstract: The present invention is directed to a display fluid comprising charged composite color particles dispersed in a solvent. The composite color particle comprises core particles which are at least one color core particle and at least one core particle having a high refractive index, a shell in which the color core particles and the high refractive index core particles are completely or partially embedded, and steric stabilizer molecules on the surface of the composite color particle. A display fluid comprising the composite color particles of the present invention provides improved optical performance.

Abstract: Blood separation systems and methods are provided for detecting lipids in plasma that has been separated from a plasma-containing fluid, such as blood. Plasma is separated from a fluid in a blood separator, with at least a portion of the separated plasma being removed from the blood separator via a plasma flow path. Blue and/or ultraviolet light is passed through the separated plasma in the blood separator or in the plasma flow path, with at least a portion of the light being received after passing through the separated plasma. A signal is generated based on the amount of light passing through the separated plasma, with the signal being indicative of the lipid content of the separated plasma. Determining the lipid content of the separated plasma involves comparing the difference between the signal and a reference signal that represents receipt of all or a pre-selected amount of the light.

Abstract: The present invention is a multilayered composite comprising porous metal oxide particles that are covalently bonded by way of inorganic ether groups to one or more sites of a first polyhydroxyl-functionalized polymer. This first polymer is in turn covalently bonded by way of inorganic ether groups to one or more sites of a second polyhydroxyl-functionalized polymer. The multilayered composites can be prepared by contacting porous inorganic-oxide particles with a sufficient amount of OH-reactive crosslinking agent to form metal oxide particles imbibed with the crosslinking agent, and then contacting the inorganic-oxide particles with a solution of polyhydroxyl-functionalized polymer under reactive conditions.

Abstract: To provide a transfer material which is capable of improving the visibility of a transparent electrode pattern of an electrostatic capacitance type input device, and is capable of improving the productivity of the electrostatic capacitance type input device. A transfer material includes a temporary supporter and a transparent curable resin layer laminated on the temporary supporter, and a refractive index of the transparent curable resin layer at a wavelength of 550 nm is 1.55 or more.

Abstract: A touch display device comprises a display module, a polarizer, a first patterned electrode layer and a first transparent adhesive layer. The first patterned electrode layer is disposed between the polarizer and the display module and includes a patterned portion and a non-patterned portion. The first transparent adhesive layer is disposed on the first patterned electrode layer. The refractive index of the first transparent adhesive layer is greater than or equal to 1.65 and less than or equal to 1.72, wherein reflectivity of the patterned portion is substantially the same as reflectivity of the non-patterned portion.

Abstract: An optical arrangement for use in an optical imaging process includes an optical element, an immersion zone and a liquid repelling device. During the optical imaging process, the immersion zone is located adjacent to the optical element and is filled with an immersion liquid. The optical element has a first surface region and a second surface region. During the optical imaging process, the first surface region is wetted by the immersion liquid. At least temporarily during the optical imaging process, the liquid repelling device generates an electrical field in the region of the second surface. The electrical field being is adapted to cause a repellent force on parts of the immersion liquid which are responsive to the electrical field and inadvertently contact the second surface region. The repellent force has a direction to drive away the parts of the immersion liquid from the second surface region.

Abstract: An optical component includes a base material and a film containing silica particles and conductive transparent metal oxide particles. The conductive transparent metal oxide particles are preferably composed of SnO2. The number-based average particle diameter of the conductive transparent metal oxide particles is preferably 0.8 nm or more and 5.0 nm or less. When the content of the silica particles in the film is represented by Xs (vol %) and the content of the conductive transparent metal oxide particles in the film is represented by Xc (vol %), it is preferred to satisfy the following relationship: 0.003?Xc/Xs?0.12.

Abstract: An optical layered body, which has a high hardness and a fine external appearance without an interference fringe, and is excellent in optical properties and in an adhesion property between a substrate and a hard coat layer.

Abstract: Provided are light emitting diodes (LEDs) and methods of fabricating such LEDs. An LED may include a transparent conductive oxide (TCO) layer having a varying refractive index. For example, the refractive index may be higher at the interface of the TCO layer with an epitaxial stack than on the side of the TCO layer. The refractive index variability allows reducing light intensity losses in the LED. The refractive index variability may be achieved by feeding a substrate through a deposition chamber having a variable concentration of at least one process gas, such as oxygen. Specifically, the concentration of the process gas may be higher at one slit opening than at another slit opening. As the substrate moves through the deposition chamber, the TCO layer is continuously deposited. Due to the concentration variability, the resulting TCO layer may have a variable composition throughout the thickness of the TCO layer.

Abstract: A device including a first semiconductor layer and a contact to the first semiconductor layer is disclosed. An interface between the first semiconductor layer and the contact includes a first roughness profile having a characteristic height and a characteristic width. The characteristic height can correspond to an average vertical distance between crests and adjacent valleys in the first roughness profile. The characteristic width can correspond to an average lateral distance between the crests and adjacent valleys in the first roughness profile.

Abstract: An optical element includes a substrate and a film. The substrate made of sapphire. The film is covered on the substrate and is configured for increasing reflectivity of ultraviolet lights and filtering the ultraviolet lights. The film includes a plurality of high refractive index layers and a plurality of low refractive index layers alternately stacked on the substrate.

Abstract: A display device for a vehicle includes a front face cover that covers a front face of a display section for displaying information of the vehicle, and an antireflection film provided on a surface of the front face cover. The surface of the front face cover has a curved face which is formed so that an observation color of the curved face viewed from an eye range of a person sitting on a seat of the vehicle differs depending on an observation position in the eye range due to a difference in an interference wavelength of reflection light reflected by the antireflection film, the reflection light advancing toward the eye range from the front surface.

Abstract: A micromirror arrangement (1) having: at least one micromirror (3) having a reflective surface (11) formed at a mirror substrate (2), and an antireflective coating (7) formed at the mirror substrate (2) outside the reflective surface (11). A reflective coating (8) is formed within the reflective surface (11) and has at least two layer subsystems, wherein the first layer subsystem has layers (8e, 8f) composed of a periodic sequence of alternate high and low refractive index layers composed of a nonmetallic material and is optimized with regard to the reflectivity in respect of a used wavelength of the micromirror arrangement, and wherein the second layer subsystem is optimized with regard to the reflectivity in respect of a measurement wavelength of the micromirror arrangement, said measurement wavelength deviating from the used wavelength.

Abstract: Provided is a display device equipped with a touch panel, including a front panel arranged above a capacitive touch panel at a predetermined distance away therefrom, in which the touch panel includes a plurality of X electrodes and a plurality of Y electrodes, and the X electrodes are sequentially applied with pulse signals and the Y electrodes receive the pulse signals. When an arbitrary point on the front panel is touched, the touch panel computes a touched point on the touch panel by using both the received pulse signals obtained from the Y electrodes in a case where the front panel is not deformed and the received pulse signals obtained from the Y electrodes in a case where the front panel is deformed. With this, an erroneous operation in which a measurement value is lowered to finally disappear is prevented.

Abstract: A lens includes a substrate and an infrared-cut (IR-cut) filtering film. The substrate is made of sapphire, is configured for converging or diffusing light rays and includes an object-side surface and an image-side surface opposite to the object-side surface. The IR-cut filtering film increases the reflectivity of the substrate in relation to infrared light, and is coated on the image-side surface of the substrate.

Abstract: A coated article includes a temperable antireflection (AR) coating that utilizes medium and low index (index of refraction “n”) layers having compressive residual stress in the AR coating. In certain example embodiments, the coating may include the following layers from the glass substrate outwardly: silicon oxynitride (SiOxNy) medium index layer/high index layer/low index layer. In certain example embodiments, depending on the chemical and optical properties of the high index layer and the substrate, the medium and low index layers of the AR coating are selected to cause a net compressive residual stress and thus optimize the overall performance of the antireflection coating when the coated article is tempered and/or heat-treated.

Abstract: The disclosure is directed to multilayer Mo/Si coatings for reflective mirrors used in extreme ultraviolet lithographic systems and to a method of making such mirrors using plasma ion assisted deposition (PIAD) techniques. The coating are deposited on a substrate suitable for EUV lithography, and are Mo/Si coating consisting of 40-100 Mo/Si periods, each period consisting on a Mo layer followed by a Si layer. Each of the individual Mo and Si layers is deposited to a specified or target thickness in the range of 2 nm to 5 nm, and the thicknesses are controlled to ±0.1 nm. A plasma from a plasma source is used to densify and smooth the substrate prior to deposition of the coating, and each layer of the coating is plasma densified and smoothed.

Abstract: A vehicle interior material of the present invention is a vehicle interior material that is disposed in a lower side of windshield glass inside a compartment and includes a grain structure including a concavity and a convexity on the upper face thereof, the vehicle interior material including at the convexity of the grain structure, a diffuse reflection face that is inclined with respect to a general upper face of the grain structure.

Abstract: A laminated film includes a structure where each 200 layers or more of a layer composed of a resin A (A layer) and a layer composed of a resin B (B layer) are alternately laminated, wherein a relative reflectance in a wavelength range of 400 nm to 1000 nm is 30% or more, tensile stresses at 100% elongation in a longitudinal direction and a width direction of the film are 3 MPa or more and 90 MPa or less in a tensile test at 150° C., and the number of layers with a layer pair-thickness of 120 nm or more and less than 220 nm is 1.05 times or more to 2.5 times or less the number of layers with a layer-thickness of 220 nm or more and 320 nm or less.

Abstract: An article comprising a substrate and an anti-reflection coating, and methods for depositing the coating, are disclosed. The coating comprises (a) a first coating layer having a high refractive index deposited on the substrate; (b) an epoxide-silica coating layer deposited onto the high refractive index coating layer, comprising an inorganic silica component and an organic organo-silicate component, and (c) a silica coating layer consisting essentially of silica, deposited directly onto the epoxide-silica coating layer. The anti-reflection coating optionally comprises a stack of coating layers, between the first high refractive index coating layer and the epoxide-silica coating layer, having alternating a low refractive index and a high refractive index. Individual coating layer compositions, refractive indexes, and thicknesses are carefully controlled such that reflectance is minimized through destructive interference in the visible light wavelength range of 400 to 700 nm.

Abstract: A transparent electromagnetic wave-shielding filter, containing a support, a conductive layer provided on the support, and a hard coat layer provided on the conductive layer, wherein the conductive layer is formed by subjecting an emulsion layer which contains a silver halide and a binder and is coated on the support, to exposure and developing process, wherein the hard coat layer is formed by coating a coating liquid for forming the hard coat layer with a solvent on the conductive layer, and wherein the emulsion layer contains a compound soluble in the solvent of the coating liquid for forming the hard coat layer.

Abstract: Disclosed is a transparent touch screen construction that includes a pattern of layer stacks disposed on a substrate. The layer stacks each include a transparent conductor layer and an intermediate layer positioned between the substrate and the transparent conductor layer. The intermediate layer has a refractive index that is lower than that of the transparent conductor layer and that of the substrate. The construction of the layer stacks reduces the difference in visible light transmission between the areas of the substrate covered by the stacks and the areas of the substrate left exposed by the stacks. Also disclosed are methods for reducing the visibility of a patterned transparent conductor in a touch screen by disposing an intermediate layer pattern between a substrate and a transparent conductor pattern, the intermediate layer pattern and transparent conductor pattern being coincident.

Abstract: The optical element includes a base member configured to have an optical surface, a concave-convex structure configured to have an average pitch smaller than a shortest wavelength of a use wavelength range, and an intermediate layer formed between the optical surface and the concave-convex structure, made of a material different from that of the concave-convex structure, and having a refractive index between those of the base member and the material of the concave-convex structure. The optical surface is formed into a shape having a rotational symmetry axis. A thickness of the intermediate layer or each of thicknesses of the intermediate layer and the concave-convex structure varies so as to increase as a distance from the rotational symmetry axis increases. The optical element has good anti-reflection performance not only at a central part of the optical surface having a small curvature radius but also at a peripheral part thereof.

Abstract: An optical article includes: an optical base; and a layer that is provided on the optical base and contains SiO2 as a main component, the layer being a silicon-nitride-containing silicon oxide layer containing SisOtNu (s>0, T?0, u>0).

Abstract: Disclosed is an objective lens used for an optical pickup apparatus to perform writing and/or reading of an optical information recording medium, comprising an antireflective film on a surface of a light source side, wherein a light flux of wavelengths including a wavelength ?1 of 380 nm??1?420 nm and a wavelength ?2 of 630 nm??2?810 nm, is condensed on the medium, a numerical aperture on the light source side with respect to the wavelength ?1 is within a range of 0.8-0.9, and that with respect to the wavelength ?2 is 0.7 or less, and a band of the antireflective film is within a range of 700 nm-800 nm in a state where a reflectance of a light flux perpendicularly entering a central portion of the surface in a wavelength region from 400 nm to 1200 nm is 3.0% or less.

Abstract: The invention is directed to highly reflective optical elements having an amorphous MgAl2O4?SiO2 coating with fluoride enhancements inserted and sealed by dense smooth SiO2 layers, and to a method for preparing such elements using energetic deposition techniques and the spinel crystalline form of MgAl2O4 as the source of the amorphous MgAl2O4 coating, The coating and the method described herein can be used to make highly reflective mirrors, and can also be applied to beamsplitters, prisms, lenses, output couplers and similar elements used in <200 nm laser systems.

Abstract: An object of the present invention is to provide a film having a high brightness and a natural metal-effect, and also having excellent formability, causing no delamination and maintaining the metal-effect after forming. Another object is to provide a molded body having less environmental burden, excellent in recycling efficiency and giving no electromagnetic interference. A laminated film including a structure where each 30 layers or more of a layer composed of a resin A (A layer) and a layer composed of a resin B (B layer) are alternately laminated, wherein a relative reflectance in a wavelength range of 400 nm to 1000 nm is 30% or more, tensile stresses at 100% elongation in a longitudinal direction and a width direction of the film are 3 MPa or more and 90 MPa or less in a tensile test at 150° C., and the number of layers with a layer-pair thickness of 10 nm or more and less than 220 nm is more than the number of layers with a layer-pair thickness of 220 nm or more and 320 nm or less.

Abstract: An antireflection film is provided and includes at least one layer containing fine pores. When a surface portion of the antireflection film comes into contact with water for 15 minutes and then the water is wiped away, the surface portion has a chromaticity change ?E of 0.45 or less, the chromaticity change ?E being a chromaticity change in a CIE1976 L*a*b* color space and measured under a standard light source D65.

Abstract: A multilayer reflective film coated substrate includes a multilayer under film comprised of Mo/Si alternately-layered films, an intermediate layer in the form of a Si film, and a multilayer reflective film comprised of Mo/Si alternately-layered films for reflecting exposure light. The multilayer under film, the intermediate layer, and the multilayer reflective film are formed on a substrate in this order. Given that a cycle length of the multilayer under film is d bottom (unit:nm), a thickness of the intermediate layer is d Si (unit:nm), and a cycle length of the multilayer reflective film is d top (unit:nm), relationships of a formula (1) and a formula (2) are satisfied, the formula (1) given by n×d top?0.05?d bottom?n×d top+0.05 where n is a natural number equal to or greater than 1, and the formula (2) given by m×d top?1.2?d Si??m×d top+1.2 where m is an integer equal to or greater than 0.

Abstract: An optical filter has a multilayer thin film comprising first to i-th layers stacked in alternate layers of high and low refractive indices on a transparent substrate. Respective odd-numbered layers (high refractive index layers) and respective even-numbered layers (low refractive index layers) form repetitive sequences of layers each of which cyclically changes in optical thickness throughout the multilayer thin film. Each of k-th from-the-bottom alternate layers of high and low refractive indices has such an optical thicknesses as meet the following conditional expressions (1) and (2), concurrently: n×d=(.c/4)×[1+sin{(k?1)×.}×.]??(1) 0 . . . <1 ??(2) where .c is the center wavelength of reflection band, n is the refraction index of the layer for the d-line, d is the physical thickness of the layer, . is a factor of a pitch angle represented by 2./the number of layers a one layer-stack, . is the rate of amplitude.