Patent Publication Number: US-2013250286-A1

Title: Apparatus for measuring patterns on a reflective photomask

Description:
CROSS-REFERENCE TO RELATED APPLICATION(S) 
     This application claims priority from Korean Patent Application No. 10-2012-0030691, filed on Mar. 26, 2012, in the Korean Intellectual Property Office (KIPO), the entire contents of which are incorporated herein by reference. 
     BACKGROUND 
     1. Field 
     Example embodiments of the inventive concept may relate to apparatuses and methods for inspecting and/or measuring critical dimensions of patterns of reflective photomasks. 
     2. Description of Related Art 
     Reflective photomasks may be used in photolithography processes that form optical patterns on wafers using extreme ultraviolet (EUV) light. 
     SUMMARY 
     Example embodiments of the inventive concept may provide apparatuses for inspecting and/or measuring reflective photomasks using light. 
     Example embodiments of the inventive concept may provide apparatuses for inspecting and/or measuring optical patterns of reflective photomasks by causing light to be incident to the reflective photomasks at angles. 
     Example embodiments of the inventive concept may provide methods of inspecting and/or measuring reflective photomasks using light. 
     Example embodiments of the inventive concept may provide apparatuses for measuring optical patterns of reflective photomasks by causing deep ultraviolet (DUV) light to be incident to the reflective photomasks at angles. 
     In some example embodiments, an apparatus for measuring patterns on a reflective photomask may comprise a light illuminating part including a light source, configured to generate light, and a beam shaping part; a photomask stage configured to cause the light generated from the light source to be incident at an angle through the beam shaping part; and/or a light detector configured to receive optical image information of the reflective photomask mounted on the photomask stage. 
     In some example embodiments, the light incident to the photomask stage through the beam shaping part may have an angle with respect to a normal line of a surface of the photomask stage. 
     In some example embodiments, the light illuminating part may further include a polarization control part. 
     In some example embodiments, the light source may be configured to generate deep ultra violet (DUV) light having a wavelength of about 193 nm. 
     In some example embodiments, the beam shaping part may include an optical aperture. 
     In some example embodiments, the apparatus may further comprise a minor between the light illuminating part and the photomask stage. 
     In some example embodiments, the minor may include a semitransparent mirror. 
     In some example embodiments, the apparatus may further comprise a slit plate between the light illuminating part and the photomask stage. 
     In some example embodiments, the slit plate may include a slit of a bar shape. The photomask stage and the light detector may be configured to move in a direction perpendicular to the slit. 
     In some example embodiments, the light illuminating part may further include a relay lens between the light source and the beam shaping part. 
     In some example embodiments, the light detector may include a charge coupled device (CCD). 
     In some example embodiments, the apparatus may further comprise a pupil lens between the photomask stage and the light detector. 
     In some example embodiments, an apparatus for measuring patterns on a reflective photomask may comprise a light illuminating part including a light source configured to generate light and configured to adjust a progress direction of the light generated from the light source at an angle; a photomask stage in a direction at which the light is irradiated from the light illuminating part at the angle and configured to mount the reflective photomask; a slit plate between the light illuminating part and the photomask stage; and/or a light detector configured to receive image information of the reflective photomask mounted on the photomask stage. 
     In some example embodiments, the light illuminating part may further include a beam diffractor. 
     In some example embodiments, the beam diffractor may include a grating mask. 
     In some example embodiments, an apparatus for measuring patterns on a reflective photomask may comprise a light illuminating part that includes a light source configured to generate DUV light having a wavelength of about 193 nm; a photomask stage configured to mount the reflective photomask; and/or a light detector configured to receive the DUV light from the light illuminating part that is reflected from the reflective photomask mounted on the photomask stage. The light illuminating part may be configured to cause the DUV light from the light illuminating part to be incident on the reflective photomask at angles other than normal to the reflective photomask. 
     In some example embodiments, the apparatus may further comprise a beam shaping part. The beam shaping part may include an optical aperture. 
     In some example embodiments, the apparatus may further comprise a minor between the light illuminating part and the photomask stage. 
     In some example embodiments, the apparatus may further comprise a semitransparent mirror between the light illuminating part and the photomask stage. 
     In some example embodiments, the apparatus may further comprise a slit plate between the light illuminating part and the photomask stage. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
       The above and/or other aspects and advantages will become more apparent and more readily appreciated from the following detailed description of example embodiments, taken in conjunction with the accompanying drawings, in which: 
         FIGS. 1A to 1F  are diagrams conceptually illustrating apparatuses for measuring patterns of reflective photomasks according to some example embodiments of the inventive concept; 
         FIG. 2A  is a diagram conceptually illustrating beam shaping parts according to some example embodiments of the inventive concept; 
         FIG. 2B  is a diagram conceptually illustrating methods of forming beam shaping parts according to some example embodiments of the inventive concept; 
         FIG. 2C  is a diagram illustratively illustrating shapes formed by beam shaping parts according to some example embodiments of the inventive concept; 
         FIGS. 2D to 2H  are diagrams illustrating that DUV light may be adjusted by beam shaping parts at desired (or alternatively, predetermined) angles; 
         FIGS. 3A and 3B  are diagrams conceptually illustrating beam diffractors according to some example embodiments of the inventive concept; 
         FIGS. 4A to 4J  are graphs showing measured results of pattern of reflective photomasks using apparatuses for measuring reflective photomasks according to some example embodiments of the inventive concept; 
         FIG. 5A  is a conceptual diagram explaining that polarization control parts may adjust polarization angles of DUV light in apparatuses for measuring reflective photomasks according to some example embodiments of the inventive concept; and 
         FIG. 5B  is a graph showing measured results of critical dimensions of patterns of reflective photomasks according to polarization angles in an apparatus for measuring reflective photomasks according to some example embodiments of the inventive concept. 
     
    
    
     DETAILED DESCRIPTION 
     Example embodiments will now be described more fully with reference to the accompanying drawings. Embodiments, however, may be embodied in many different forms and should not be construed as being limited to the embodiments set forth herein. Rather, these example embodiments are provided so that this disclosure will be thorough and complete, and will fully convey the scope to those skilled in the art. In the drawings, the thicknesses of layers and regions may be exaggerated for clarity. 
     It will be understood that when an element is referred to as being “on,” “connected to,” “electrically connected to,” or “coupled to” to another component, it may be directly on, connected to, electrically connected to, or coupled to the other component or intervening components may be present. In contrast, when a component is referred to as being “directly on,” “directly connected to,” “directly electrically connected to,” or “directly coupled to” another component, there are no intervening components present. As used herein, the term “and/or” includes any and all combinations of one or more of the associated listed items. 
     It will be understood that although the terms first, second, third, etc., may be used herein to describe various elements, components, regions, layers, and/or sections, these elements, components, regions, layers, and/or sections should not be limited by these terms. These terms are only used to distinguish one element, component, region, layer, and/or section from another element, component, region, layer, and/or section. For example, a first element, component, region, layer, and/or section could be termed a second element, component, region, layer, and/or section without departing from the teachings of example embodiments. 
     Spatially relative terms, such as “beneath,” “below,” “lower,” “above,” “upper,” and the like may be used herein for ease of description to describe the relationship of one component and/or feature to another component and/or feature, or other component(s) and/or feature(s), as illustrated in the drawings. It will be understood that the spatially relative terms are intended to encompass different orientations of the device in use or operation in addition to the orientation depicted in the figures. 
     The terminology used herein is for the purpose of describing particular example embodiments only and is not intended to be limiting of example embodiments. As used herein, the singular forms “a,” “an,” and “the” are intended to include the plural forms as well, unless the context clearly indicates otherwise. It will be further understood that the terms “comprises,” “comprising,” “includes,” and/or “including,” when used in this specification, specify the presence of stated features, integers, steps, operations, elements, and/or components, but do not preclude the presence or addition of one or more other features, integers, steps, operations, elements, components, and/or groups thereof. 
     Unless otherwise defined, all terms (including technical and scientific terms) used herein have the same meaning as commonly understood by one of ordinary skill in the art to which example embodiments belong. It will be further understood that terms, such as those defined in commonly used dictionaries, should be interpreted as having a meaning that is consistent with their meaning in the context of the relevant art and should not be interpreted in an idealized or overly formal sense unless expressly so defined herein. 
     Reference will now be made to example embodiments, which are illustrated in the accompanying drawings, wherein like reference numerals may refer to like components throughout. 
       FIGS. 1A to 1F  are diagrams illustrating apparatuses  10 A to  10 F for inspecting and/or measuring a pattern of a reflective photomask according to some example embodiments of the inventive concept. 
     Referring to  FIG. 1A , the apparatus  10 A for inspecting and/or measuring a pattern of a reflective photomask according to an embodiment of the inventive concept includes a light illuminating part  100 A, a photomask stage  200  and a light detector  700 . The apparatus  10 A for inspecting and/or measuring a reflective photomask  210  may further include an image analyzing part  800 . In order to easily understand example embodiments of the inventive concept, it is assumed and shown that the reflective photomask  210  is mounted on a lower surface of photomask stage  200 . 
     The light illuminating part  100 A may include a light source  110  and a beam shaping part  120 . The light source  110  may generate light having a wavelength of about 193 nm or more. For example, the light source  110  may generate DUV light having a wavelength of about 193 nm using argon fluoride (ArF) plasma and the like. In addition, the light source  110  may generate ultraviolet rays having wavelengths greater than 193 nm, for example, about 248 nm, 365 nm or the like, using krypton fluoride (KrF) plasma or various ways. Hereinafter, in order to easily understand example embodiments of the inventive concept, it is assumed and described simply and clearly that the light source  110  generates, for example, DUV light having a wavelength of about 193 nm. The beam shaping part  120  may form the DUV light into an arbitrary shape. A shape formed by the beam shaping part  120  will be described in detail later. The light illuminating part  100 A may further include relay lenses L 1  to L 3  installed between the light source  110  and the beam shaping part  120 . The relay lenses L 1  to L 3  may transmit the DUV light to the beam shaping part  120  by reducing loss of intensity of the DUV light generated from the light source  110 . For example, the relay lenses L 1  to L 3  may condense the DUV light so as to prevent the DUV light from escaping to the outside. The light illuminating part  100 A may cause the DUV light to be incident to the photomask stage  200  by adjusting the DUV light generated from the light source  110  to an arbitrary angle. For example, the DUV light shaped by the beam shaping part  120  may be irradiated to the photomask stage  200  at various arbitrary angles. The DUV light irradiated from the light illuminating part  100 A to the photomask stage  200  may have a desired (or alternatively, predetermined) angle with respect to a normal line of a surface of the photomask stage. 
     The reflective photomask  210  may be mounted on the lower surface of the photomask stage  200 . For example, the photomask stage  200  may include an electrostatic chuck. The reflective photomask  210  may include optical patterns formed in a front surface of a mask substrate  220 . For example, the reflective photomask  210  may include a reflecting layer  230  and an absorption pattern  240 . The reflecting layer  230  may reflect the EUV light and the DUV light. The reflecting layer  230  may include a first reflecting layer  231  and a second reflecting layer  232  stacked with a multi-layer. For example, the first reflecting layer  231  may include silicon (Si), and the second reflecting layer  232  may include molybdenum (Mo). The absorption pattern  240  may absorb almost all of the EUV light and reflect a little DUV light. The DUV light incident on the front surface of the reflective photomask  210  mounted on the lower surface of the photomask stage  200  may be reflected at a desired (or alternatively, predetermined) angle. The reflected DUV light may have aerial optical image information of optical patterns formed on the front surface of the reflective photomask  210 . 
     The reflected DUV light may be passed through a pupil lens  600  and transmitted to the light detector  700 . The light detector  700  may include, for example, a charge coupled device (CCD). When the reflected DUV light is received by the light detector  700  using the CCD, patterns of the reflective photomask  210  may be inspected and/or measured in quantity at the same time. For example, patterns of millions of points or more may be inspected and/or measured at the same time. Generally, when a scanning electro microscopy (SEM) is used, since many areas may not be simultaneously inspected and/or measured, and there are matters of time and cost, it is difficult to inspect and/or measure patterns of hundreds of points or more. However, according to some example embodiments of the inventive concept, if the CCD is used, a relatively large number of patterns may be inspected and/or measured at the same time. In addition, the light detector  700  including the CCD may quickly convert optical image information of the patterns of the reflective photomask  210  to digital information through the reflected DUV light. For example, the light detector  700  may convert the optical image information of the patterns of the reflective photomask  210  into the digital information and then transmit converted digital information to the image analyzing part  800 . 
     The image analyzing part  800  receives the digital information from the light detector  700  and analyzes, inspects, and/or measures the image information of patterns of the reflective photomask  210 . For example, the image analyzing part  800  may convert the digital information to visual image information. The image analyzing part  800  inspects and/or measures image of patterns of the reflective photomask  210  based on the visual image information. The image analyzing part  800  may measure a critical dimension (CD) of the patterns of the reflective photomask  210  based on the image information. The image analyzing part  800  displays the image information of the patterns of the reflective photomask  210  on a monitor. For example, the visual image of the patterns of the reflective photomask  210  and inspected and/or measured results for the patterns of the reflective photomask  210  may be displayed in the form of graphics or graphs. 
     Referring to  FIG. 1B , according to some example embodiments of the inventive concept, the apparatus  10 B for inspecting and/or measuring a reflective photomask may include a light illuminating part  100 B, a photomask stage  200 , a light detector  700 , and a slit plate  300 . The apparatus  10 B for inspecting and/or measuring a reflective photomask may further include an image analyzing part  800 . The slit plate  300  may cause DUV light incident from the light illuminating part  100 B to be selectively incident on the front surface of the reflective photomask  210 , and DUV light reflected from the front surface of the reflective photomask  210  to be emitted to the light detector  700 . The slit plate  300  includes a slit  350 . A shape of the slit plate  300  in a top view or bottom view is conceptually shown. DUV light irradiated from the light illuminating part  100 B may be incident on the front surface of the reflective photomask  210  on the photomask stage  200  through the slit  350 . The DUV light reflected from the front surface of the reflective photomask  210  may be passed through the slit  350  and a pupil lens  600  and emitted to the light detector  700 . The photomask stage  200  and the light detector  700  may be horizontally moved in a direction perpendicular to a direction in which the slit  350  extends (see arrow). 
     Referring to  FIG. 1C , according to some example embodiments of the inventive concept, the apparatus  10 C for inspecting and/or measuring a reflective photomask may include a light illuminating part  100 C, a photomask stage  200 , and a light detector  700 , and the light illuminating part  100 C may include a light source  110  and a beam diffractor  150 . The apparatus  10 C for inspecting and/or measuring a reflective photomask may further include an image analyzing part  800 . The light illuminating part  100 C may further include relay lenses L 1  to L 3 . The apparatus  10 C for inspecting and/or measuring a reflective photomask may further include a slit plate  300 . The beam diffractor  150  may diffract DUV light at various angles. A diffracting angle of the DUV light may be varied depending on material or shape of the beam diffractor  150 . For example, the DUV light passed through the beam diffractor  150  may be diffracted at a surface of the beam diffractor  150  at various angles. The diffracted DUV light may be passed through the slit  350  at a desired (or alternatively, predetermined) angle and incident on the front surface of the reflective photomask  210 . The beam diffractor  150  will be described in detail later. 
     Referring to  FIG. 1D , according to some example embodiments of the inventive concept, the apparatus  10 D for inspecting and/or measuring a reflective photomask includes a light illuminating part  100 D, a minor  400 , a photomask stage  200 , and a light detector  700 . The apparatus  10 D for inspecting and/or measuring a reflective photomask may further include an image analyzing part  800 . The apparatus  10 D for inspecting and/or measuring a reflective photomask may further include a slit plate  300 . The minor  400  may be installed on the light illuminating part  100 D and the photomask stage  200 . DUV light irradiated from the light illuminating part  100 D may be reflected to the mirror  400  and incident on a surface of the reflective photomask  210  at a desired (or alternatively, predetermined) angle. A portion of the DUV light reflected from the front surface of the reflective photomask  210  may be passed through a pupil lens  600  and transmitted to the light detector  700 . The mirror may be tilted or rotated. For example, the minor  400  may adjust the DUV light received from the light illuminating part  100 D at a desired (or alternatively, predetermined) angle and cause the adjusted DUV light to be incident on the front surface of the reflective photomask  210 . 
     Referring to  FIG. 1E , according to some example embodiments of the inventive concept, the apparatus  10 E for inspecting and/or measuring a reflective photomask may include a light illuminating part  100 E, a photomask stage  200 , a semitransparent mirror  450 , and the light detector  700 . The apparatus  10 E for inspecting and/or measuring a reflective photomask may further include an image analyzing part  800 . The apparatus  10 E for inspecting and/or measuring a reflective photomask may further include a slit plate  300 . DUV light irradiated from the light illuminating part  100 E may be reflected to the semitransparent minor  450  and incident on the front surface of the reflective photomask  210 . A portion of the DUV light reflected from the front surface of the reflective photomask  210  may be passed through the semitransparent mirror  450  and a pupil lens  600  and transmitted to the light detector  700 . A beam shaping part  120  of the light illuminating part  100 E may cause the DUV light to be incident on the semitransparent mirror  450  at a desired (or alternatively, predetermined) angle. The semitransparent mirror  450  may also be tilted or rotated. For example, the semitransparent minor  450  may adjust the DUV light received from the light illuminating part  100 E at a desired (or alternatively, predetermined) angle and cause the adjusted DUV light to be incident on the front surface of the reflective photomask  210 . 
     Referring to  FIG. 1F , according to some example embodiments of the inventive concept, the apparatus  1 OF for inspecting and/or measuring a reflective photomask includes a light illuminating part  100 F, a photomask stage  200 , and a light detector  700 , and the light illuminating part  100 F may further include a polarization control part  160 . The apparatus  10 F for inspecting and/or measuring a reflective photomask may further include an image analyzing part  800 . The apparatus  10 F for inspecting and/or measuring a reflective photomask may further include a slit plate  300 . The polarization control part  160  may adjust bias of the DUV light, that is, an oscillating direction. For example, the oscillating direction of the DUV light may be adjusted to have a desired (or alternatively, predetermined) angle formed in an extension direction of the patterns of the reflective photomask  210 . The polarization control part  160  will be described in detail later. 
       FIG. 2A  is a diagram conceptually illustrating a beam shaping part  120  according to some example embodiments of the inventive concept. Referring to  FIG. 2A , the beam shaping part  120  according to some example embodiments of the inventive concept includes a blind area  125  and an aperture area  126 . The blind area  125  may block DUV light. The aperture area  126  is an aerial space and passes the DUV light. Thus, the DUV light passed through the beam shaping part  120  may have a beam shape corresponding to the aperture area  126 . However, since the DUV light passed through the aperture area  126  may be diffracted, it may not have the same shape as the aperture area  126 . The DUV light passed through the aperture area  126  may be incident on the reflective photomask  210  and the mirror  400 , or the semitransparent mirror  450 , at a desired (or alternatively, predetermined) angle. A technical concept of off-axis illumination (OAI) technology may be applied to the beam shaping part  120 . For example, the beam shaping part  120  may be formed by suitably combining a dipole optical aperture, a quardrupole optical aperture, an annular optical aperture, and the like. For example, the beam shaping part  120  may be formed from a variety of shapes such as disar, quasar, cross-pole, annular, di-annular and quad-annular, C-quad, or a combination thereof. 
       FIG. 2B  is a diagram conceptually illustrating methods of forming beam shaping parts  120 A and  120 B according to some example embodiments of the inventive concept. Referring to  FIG. 2B  (A), the beam shaping part  120 A according to some example embodiments of the inventive concept may have an aperture area  126  corresponding to a desired (or alternatively, predetermined) offset angle range (Δθ=θ 2 −θ 1 ) and a desired (or alternatively, predetermined) offset distance range (Δd=d 2 −d 1 ) from a central point C. Referring to  FIG. 2B  (B), the beam shaping part  120 B according to some example embodiments of the inventive concept may include an unit aperture area  127  corresponding to a desired (or alternatively, predetermined) offset angle θr and a desired (or alternatively, predetermined) offset distance dr from the central point C. For example, in this embodiment, assuming that a radius of a virtual circle  128  inscribed in four sides of the beam shaping part  120 B from a length of one side of the beam shaping part  120 B, that is, from the central point C of the beam shaping part  120 B, is 1, it may be explained that the unit aperture area  127  of (B) is formed at a position having an offset angle θr of 45° and an offset distance dr of 0.5. Illustratively, it is assumed and shown that the unit aperture area  127  is a circle shape having a width of 2% of a radius of a virtual circle  128  inscribed in four sides of the beam shaping part  120 B. However, the unit aperture area  127  may have a variety of shapes and sizes. For example, the unit aperture area  127  may be formed from a variety of shapes such as a rectangular, a bar, an arc, circular arc, a folding fan, or any other shape. 
       FIG. 2C  is a diagram illustratively illustrating shapes in which beam shaping parts  121 A and  121 B are formed according to some example embodiments of the inventive concept. Referring to  FIG. 2C  (A), the beam shaping part  121 A according to some example embodiments of the inventive concept may include an aperture area  127  that has an offset distance da of 0.25 and arranged from 0° to 350° at intervals of 10°. Referring to  FIG. 2C  (B), the beam shaping part  121 B according to some example embodiments of the inventive concept may include an aperture area  127  that has an offset distance db of 0.5 and arranged from 0° to 350° at intervals of 10°. The beam shaping parts  121 A and  121 B shown in  FIG. 2C  may include unit apertures having a difference of the offset distances da and db regardless of an offset angle θ. 
       FIGS. 2D to 2H  are diagrams explaining that DUV light may be adjusted by beam shaping parts  122 A to  122 E at a desired (or alternatively, predetermined) angle. In each drawing, (A) is a top view of the beam shaping parts  122 A to  122 E, and (B) is a sectional view taken along line I-I′. Referring to  FIGS. 2D to 2H , the beam shaping parts  122 A to  122 E may include a blind area  125  and an aperture area  126 . 
     Referring to  FIG. 2D , the beam shaping part  122 A may have an aperture area  126  offset by a certain distance d 1  at one side. DUV light passed through the offset aperture area  126  may diagonally intersect with a virtual intersecting point I located on a normal line N passing through a central point C of the beam shaping part  122 A. For example, the DUV light passed through the offset aperture area  126  may have a desired (or alternatively, predetermined) angle θa with the normal line N passing through the central point C of the beam shaping part  122 A. The angle θa may be set according to an offset distance d 1  of the aperture area  126  spaced from the central point C of the beam shaping part  122 A and a spaced distance dn 1  of the virtual intersecting point I located on the normal line N from the central point C of the beam shaping part  122 A. Since the DUV light passed through the offset aperture area  126  is progressed to a plane wave of a concentric shape, the virtual intersecting point I may be set to an arbitrary position, or spaced distances dn 1  and dn 2  between the beam shaping part  122 A and the virtual intersecting point I, such that angles θa and θb between the DUV light and the normal line N may be variously adjusted. In addition, the position of the virtual intersecting point I may be fixed and the offset distance d 1  may be varied, such that the angles θa and θb with the normal line N may be variously adjusted. 
     Referring to  FIG. 2E , the beam shaping part  122 B may have an aperture area  126  symmetrically offset in a horizontal direction. Referring again to  FIG. 2C , DUV light passed through the offset aperture area  126  may diagonally intersect with the virtual intersecting point I located on the normal line N passing through the central point C of the beam shaping part  122 B. Thus, the DUV light may have symmetrical angles ±θa and ±θb and be incident to the photomask stage  200  from both sides. 
     Referring to  FIG. 2F , the beam shaping part  122 C may have a plurality of aperture areas  126  offset in one direction. Thus, the DUV light may be incident to the photomask stage  200  with various angles (θi 1 , θi 2 , θo 1 , θo 2 ) according to the offset distances dc 1  and dc 2 . 
     Referring to  FIG. 2G , the beam shaping part  122 D may have a plurality of aperture areas  126  symmetrically offset in a horizontal direction. Thus, the DUV light may be incident to the photomask stage  200  with a plurality of symmetrical angles. 
     Referring to  FIG. 2H , the beam shaping part  122 E may have a plurality of aperture areas  126  symmetrically offset in a horizontal direction I-I′ and a vertical direction II-II′. Thus, the DUV light may be incident to the photomask stage  200  with a symmetrical angle according to the offset distances from the horizontal direction and the vertical direction. 
     Referring to  FIGS. 2A to 2H , it is fully understood that the beam shaping parts  120 ,  120 A,  120 B,  121 A,  121 B, and  122 A- 122 E may have aperture areas  126  and/or unit aperture areas  127  having various sizes and variously arranged. 
       FIGS. 3A and 3B  are diagrams conceptually illustrating beam diffractors according to some example embodiments of the inventive concept. Referring to  FIG. 3A , according to some example embodiments of the inventive concept, a beam diffractor  150  may include a line-type grating mask  151 A. The line-type grating mask  151 A may include a plurality of parallel line-type recessed portions R and protruding portions P. The line-type grating mask  151 A may diffract the DUV light in the form of one dimension, for example, a fan shape. Thus, the DUV light passed through the line-type grating mask  151 A may be infinitely diffracted in the form of the fan shape such as 0-order diffracted light, ±1-order diffracted light, ±2-order diffracted light, and the like. In the drawing, only the 0-order diffracted light and the ±1-order diffracted are shown. Referring to  FIG. 1C , the ±1-order diffracted light may be incident on the front surface of the reflective photomask  210  at a desired (or alternatively, predetermined) angle. A difference in level between the recessed portions R and protruding portions P of the line-type grating mask  151 A may be considered to set a relationship of destructive interference and constructive interference of the diffracted light. For example, in a case in which a phase difference of diffracted light passed through the recessed portions R and diffracted light passed through the protruding portions P of the line-type grating mask  151 A is between (¼)*π and (¾)*π, destructive interference may occur. In addition, in a case in which a phase difference of diffracted light passed through the recessed portions R and diffracted light passed through the protruding portions P of the line-type grating mask  151 A is less than (¼)*π or exceeds (¾)*π, constructive interference may occur. In order to obtain the required diffraction angle, widths and/or intervals of the recessed portions R and the protruding portions P of the line-type grating mask  151 A may be variously adjusted. For example, as widths and intervals of the recessed portions R and/or the protruding portions P of the line-type grating mask  151 A decrease, the diffraction angle may increase. 
     Referring to  FIG. 3B , the beam diffractor  150  according to some example embodiments of the inventive concept may include any one of a checker board-type grating mask  151 B, an island-type grating mask  151 C or a lattice-type grating mask  151 D. The checker board-type grating mask  151 B, the island-type grating mask  151 C or the lattice-type grating mask  151 D includes the plurality of recessed portions R and protruding portions P alternating in two directions. The checker board-type grating mask  151 B, the island-type grating mask  151 C or the lattice-type grating mask  151 D may diffract the DUV light in two dimensions, for example, four directions. 
       FIGS. 4A to 4J  are graphs showing measured results of a pattern of a reflective photomask using an apparatus for inspecting and/or measuring a reflective photomask according to some example embodiments of the inventive concept. As an example, a reflective photomask with line and space patterns of 128 nm half-pitch has been used in the experiment. In the drawings, (A) indicates diagrams conceptually illustrating a beam shaping part used in this experiment, and (B) indicates a graph of measured results. The X-axis of the graph indicates increasing or decreasing percentage from an origin (0), which is set as a critical dimension of patterns. For example, 0.02 increase means to be wider by a width corresponding to 2% of the critical dimension, and 0.02 decrease means to be narrower by a width corresponding to 2% of the critical dimension. The Y-axis of the graph indicates measured values of a changed critical dimension. 
       FIG. 4A  is a graph showing the results of split-measuring a critical dimension of patterns of the reflective photomask  210 , by further referring to  FIGS. 2B and 2C  and using the beam shaping part  123 A having unit aperture areas  127  located at an offset angle θ of 0° passing the central point C, that is, on a horizontal line and arranged from 0.1 to 1.0 offset distance at 0.1 intervals. Referring to  FIG. 4A , linear results in which critical dimensions of the patterns of the reflective photomask  210  are measured using unit aperture areas  127  located at offset distances d between 0.1 and 0.4 and between 0.8 and 1.0 are shown. Thus, when the beam shaping part  123 A having unit aperture areas  127  located at an offset angle θ of 0° and offset distances d between 0.1 and 0.4 or between 0.8 and 1.0 is used, the critical dimension of the pattern of the reflective photomask  210  may be measured using the DUV light. 
       FIG. 4B  is a graph showing the results of split-measuring a critical dimension of patterns of the reflective photomask  210 , by further referring to  FIGS. 2B and 2C  and using the beam shaping part  123 B having unit aperture areas  127  located on an extending line of an offset angle θ of 10° passing the central point C and arranged from 0.1 to 1.0 offset distance d at 0.1 intervals. Referring to  FIG. 4B , linear results in which critical dimensions of patterns of the reflective photomask  210  are measured using unit aperture areas  127  located at offset distances d between 0.1 and 0.4 are shown. Thus, when the beam shaping part  123 B having unit aperture areas  127  located at an offset angle θ of 10° and offset distances d between 0.1 and 0.4 is used, the critical dimension of the pattern of the reflective photomask  210  may be relatively accurately measured using the DUV light. In addition, when the beam shaping part  123 B having unit aperture areas  127  located at offset distances d between 0.7 and 1.0 is used, it may be seen that a change of the critical dimension of the pattern and the measured value are indicated to have a linear inverse slope. If a linear result is indicated, even a case of the inverse slope, the critical dimension of the pattern of the reflective photomask  210  may be relatively accurately measured using the DUV light according to some example embodiments of the inventive concept. 
       FIG. 4C  is a graph showing the results of split-measuring a critical dimension of patterns of the reflective photomask  210 , by further referring to  FIGS. 2B and 2C  and using the beam shaping part  123 C having unit aperture areas  127  located on an extending line of an offset angle θ of 20° passing the central point C and arranged from 0.1 to 1.0 offset distance d at 0.1 intervals. Referring to  FIG. 4B , linear results in which critical dimensions of patterns of the reflective photomask  210  are measured using unit aperture areas  127  located at offset distances d between 0.2 and 0.4, are shown. Thus, when the beam shaping part  123 C having unit aperture areas  127  located at an offset angle θ of 20° and offset distances d between 0.1 and 0.4 or between 0.8 and 1.0 is used, the critical dimension of the pattern of the reflective photomask  210  may be relatively accurately measured using the DUV light. In addition, when the beam shaping part  123 C having unit aperture areas  127  located at offset distances d between 0.7 and 1.0 is used, it may be seen that a change of the critical dimension of the pattern and the measured value are indicated to have a linear inverse slope. If a linear result is indicated, even a case of the inverse slope, the critical dimension of the pattern of the reflective photomask  210  may be relatively accurately measured using the DUV light according to some example embodiments of the inventive concept. 
       FIG. 4D  is a graph showing the results of split-measuring a critical dimension of patterns of the reflective photomask  210 , by further referring to  FIGS. 2B and 2C  and using the beam shaping part  123 D having unit aperture areas  127  located on an extending line of an offset angle θ of 30° passing the central point C and arranged from 0.1 to 1.0 offset distance d at 0.1 intervals. Referring to  FIG. 4D , linear results in which critical dimensions of patterns of the reflective photomask  210  are measured using unit aperture areas  127  located at offset distances d between 0.1 and 0.4, are shown. Thus, when the beam shaping part  123 D having unit aperture areas  127  located at an offset angle θ of 30° and offset distances d between 0.1 and 0.4 is used, the critical dimension of the pattern of the reflective photomask  210  may be relatively accurately measured using the DUV light. In addition, when the beam shaping parts having unit aperture areas  127  located at offset distances d between 0.7 and 1.0 is used, it may be seen that a change of the critical dimension of the pattern and the measured value are indicated to have a linear inverse slope. If a linear result is indicated, even a case of the inverse slope, the critical dimension of the pattern of the reflective photomask  210  may be relatively accurately measured using the DUV light according to some example embodiments of the inventive concept. 
       FIG. 4E  is a graph showing the results of split-measuring a critical dimension of patterns of the reflective photomask  210 , by further referring to  FIGS. 2B and 2C  and using the beam shaping part  123 E having unit aperture areas  127  located on an extending line of an offset angle θ of 40° passing the central point C and arranged from 0.1 to 1.0 offset distance d at 0.1 intervals. Referring to  FIG. 4E , linear results in which critical dimensions of patterns of the reflective photomask  210  are measured using unit aperture areas  127  located at offset distances d between 0.1 and 0.4, are shown. Thus, when the beam shaping part  123 E having unit aperture areas  127  located at an offset angle θ of 40° and offset distances d between 0.1 and 0.4 is used, the critical dimension of the pattern of the reflective photomask  210  may be relatively accurately measured using the DUV light. 
       FIG. 4F  is a graph showing the results of split-measuring a critical dimension of patterns of the reflective photomask  210 , by further referring to  FIGS. 2B and 2C  and using the beam shaping part  123 F having unit aperture areas  127  located on an extending line of an offset angle θ of 50° passing the central point C and arranged from 0.1 to 1.0 offset distance d at 0.1 intervals. Referring to  FIG. 4F , linear results in which critical dimensions of patterns of the reflective photomask  210  are measured using unit aperture areas  127  located at offset distances d between 0.1 and 0.4 and between 0.7 and 1.0, are shown. Thus, when the beam shaping part  123 F having unit aperture areas  127  located at an offset angle θ of 50° and offset distances d between 0.1 and 0.4 and between 0.7 and 1.0 is used, the critical dimension of the pattern of the reflective photomask  210  may be relatively accurately measured using the DUV light. 
       FIG. 4G  is a graph showing the results of split-measuring a critical dimension of patterns of the reflective photomask  210 , by further referring to  FIGS. 2B and 2C  and using the beam shaping part  123 G having unit aperture areas  127  located on an extending line of an offset angle θ of 60° passing the central point C and arranged from 0.1 to 1.0 offset distance d at 0.1 intervals. Referring to  FIG. 4G , linear results in which critical dimensions of patterns of the reflective photomask  210  are measured using unit aperture areas  127  located at offset distances d between 0.1 and 0.4, are shown. Thus, when the beam shaping part  123 G having unit aperture areas  127  located at an offset angle θ of 60° and offset distances d between 0.1 and 0.4 is used, the critical dimension of the pattern of the reflective photomask  210  may be relatively accurately measured using the DUV light. 
       FIG. 4H  is a graph showing the results of split-measuring a critical dimension of patterns of the reflective photomask  210 , by further referring to  FIGS. 2B and 2C  and using the beam shaping part  123 H having unit aperture areas  127  located on an extending line of an offset angle θ of 70° passing the central point C and arranged from 0.1 to 1.0 offset distance d at 0.1 intervals. Referring to  FIG. 4H , linear results in which critical dimensions of patterns of the reflective photomask  210  are measured using unit aperture areas  127  located at offset distances d between 0.1 and 0.4, are shown. Thus, when the beam shaping part  123 H having unit aperture areas  127  located at an offset angle θ of 70° and offset distances d between 0.1 and 0.4 is used, the critical dimension of the pattern of the reflective photomask  210  may be relatively accurately measured using the DUV light. 
       FIG. 4I  is a graph showing the results of split-measuring a critical dimension of patterns of the reflective photomask  210 , by further referring to  FIGS. 2B and 2C  and using the beam shaping part  123 I having unit aperture areas  127  located on an extending line of an offset angle θ of 80° passing the central point C and arranged from 0.1 to 1.0 offset distance d at 0.1 intervals. Referring to  FIG. 4I , linear results in which critical dimensions of patterns of the reflective photomask  210  are measured using unit aperture areas  127  located at offset distances d between 0.1 and 0.5, are shown. Thus, when the beam shaping part  1231  having unit aperture areas  127  located at an offset angle θ of 80° and offset distances d between 0.1 and 0.5 is used, the critical dimension of the pattern of the reflective photomask  210  may be relatively accurately measured using the DUV light. 
       FIG. 4J  is a graph showing the results of split-measuring a critical dimension of patterns of the reflective photomask  210 , by further referring to  FIGS. 2B and 2C  and using the beam shaping part  123 J having unit aperture areas  127  located on an extending line of an offset angle θ of 90° passing the central point C and arranged from 0.1 to 1.0 offset distance d at 0.1 intervals. Referring to  FIG. 4J , linear results in which critical dimensions of patterns of the reflective photomask  210  are measured using unit aperture areas  127  located at offset distances d between 0.1 and 0.5, are shown. Thus, when the beam shaping part  123 J having unit aperture areas  127  located at an offset angle θ of 90° and offset distances d between 0.1 and 0.5 is used, the critical dimension of the pattern of the reflective photomask  210  may be relatively accurately measured using the DUV light. 
     Referring again to  FIGS. 4A to 4J , according to some example embodiments of the inventive concept, when the beam shaping parts  123 A to  123 J having various unit apertures or apertures by combing various offset angles θ and various offset distances d, are used, it can be understood that the critical dimensions of the patterns of the reflective photomask  210  using the DUV light may be measured within a range with a linear measured result. 
     Referring again to  FIGS. 4A to 4J , it can be understood that there are ranges with a commonly linear measured result. The ranges with a commonly linear measured result may be varied according to the size of critical dimensions of the reflective photomask  210 . Accordingly, when critical dimensions of the patterns of the reflective photomask  210  are varied, the beam shaping parts  120 ,  120 A,  120 B,  121 A,  121 B,  122 A- 122 E and  123 A- 123 J, which show a linear measured result within a tolerance of uniformity of the critical dimension, may be selected using some example embodiments of the inventive concept. Therefore, the critical dimensions of the patterns of the reflective photomask  210  may be relatively accurately measured. 
       FIG. 5A  is a conceptual diagram explaining that a polarization control part  160  adjusts a polarization angle of DUV light, in an apparatus for inspecting and/or measuring a reflective photomask  210  according to some example embodiments of the inventive concept. Referring to (A) of  FIG. 5A , a polarization angle passed through a polarization control part  160 A may be parallel to a direction extending the line and space pattern  250  of the reflective photomask  210 . Referring to (B) and (C) of  FIG. 5A , DUV light passed through polarization control parts  160 B and  160 C may be formed by ±45° to the direction extending a line and space pattern  250  of the reflective photomask  210 . Referring to (D) of  FIG. 5A , DUV light passed through a polarization control part  160 D may be formed by 90° to the direction extending the line and space pattern  250  of the reflective photomask  210 . 
       FIG. 5B  is a graph showing the measured results of a critical dimension of a pattern of a reflective photomask  210  according to a polarization angle, in an apparatus for inspecting and/or measuring a reflective photomask  210  according to some example embodiments of the inventive concept. The graph shows results of measuring critical dimensions of line and space patterns of the reflective photomask  210  by splitting the polarization angle into 30°, 45°, and 60°, by assuming that the polarization angle is set 0° when it is the same as a direction to which a line and space pattern of the reflective photomask  210  extends and is set 90° when it is orthogonal to the direction. Referring to  FIG. 5B , generally linear measured results are shown. In particular, when the polarization angle is 60°, a relatively more linear measured result is shown. Therefore, according to some example embodiments of the inventive concept, if the polarization angle is variously adjusted according to the critical dimension, it can be understood that a measured result of the critical dimension can be obtained more accurately. 
     As a result, when the apparatus for measuring the reflective photomask according to some example embodiments of the inventive concept is used, since a critical dimension of a pattern of the reflective photomask may be relatively accurately measured using DUV light, processing costs of measuring the critical dimension of the pattern of the reflective photomask are inexpensive, and the process can be performed quickly and accurately. 
     While example embodiments have been particularly shown and described, it will be understood by those of ordinary skill in the art that various changes in form and details may be made therein without departing from the spirit and scope of the present invention as defined by the following claims.