Patent Publication Number: US-6665030-B2

Title: Liquid crystal display device with projection-recess patterns formed in pixel regions for reflecting incident light

Description:
CROSS-REFERENCE TO RELATED APPLICATIONS 
     This application is based upon and claims the benefit of priority from the prior Japanese Patent Applications No. 2000-395931, filed Dec. 26, 2000; and No. 2001-376016, filed Dec. 10, 2001, the entire contents of both of which are incorporated herein by reference. 
     BACKGROUND 
     1. Field of the Invention 
     The present invention relates to a liquid crystal display device for displaying an image using an external light source such as external light entering from an ambient area, or using an internal light source such as a back light in addition to the external light source. 
     2. Description of the Related Art 
     Recently, liquid crystal display devices have been used in various types of equipment such as personal computers, RVs, word processors, portable phones, and the like. While the fields in which liquid crystal display devices are applied increase, it is increasingly desired to have a high-performance feature of a compact size, lower power consumption, low manufacturing cost, and the like. In particular, there is a growing demand for the development of a semi-transmission type liquid crystal display device that has both the characteristics of a reflection type liquid crystal display device that has both the characteristics of a reflection type liquid crystal display and those of a transmission type liquid crystal display device as a display device to be applied to portable phones and the like that are used outdoors as well as indoors. 
     The semi-transmission type liquid crystal display device not only can display an image in the environment of a room, where little external light enters from an ambient area, by optically modulating transmitted light from a backlight through a liquid crystal layer as in a transmission type liquid crystal display device, but also can display an image outside, where a lot of external light enters from the periphery, by reflecting external light by a reflection plate and optically modulating it through the liquid crystal layer as in a reflection type liquid crystal display device. When external light is reflected by a reflection plate in a reflection type or semi-transmission type liquid crystal display device, it is important not to attenuate the intensity of light as far as possible, to display a bright image. In particular, there has been made an attempt to optimally arrange a reflection plate to provide reflection characteristics capable of effectively reflecting external light entering at any angle, as the reflection characteristics thereof greatly affect the attenuation of the intensity of light. 
     FIG. 17 shows a projection-recess pattern formed in each of pixel electrodes used as a reflection plate in a conventional reflection type liquid crystal display device. The projection-recess pattern includes a plurality of semi-spherical projections irregularly disposed, for example, on the surface of the electrode and a recess surrounding the projections. With this arrangement, the scatter of reflected light is controlled so that the reflected light concentrates in the region of a given range and that the intensity of the reflected light is increased in a particular observing direction. 
     However, when a single type of projection-recess patterns are formed side by side in the pixel electrodes as shown in FIG. 17, an image of high quality cannot be displayed. That is, the interference of light, which is scattered by the projection-recess patterns of the pixel electrodes, is made regular as a whole. Thus, the interference of light makes it difficult to observe an image. Further, the refraction factor of the liquid crystal material of a liquid crystal layer has a wavelength dependency. Thus, even if white external light is incident on the projection-recess patterns of the pixel electrodes from one direction through the liquid crystal layer, the external light is scattered in different directions with a deviation depending on each wavelength. Accordingly, the color of an image varies with the visual angle of an observer to a display surface. In particular, in a color liquid crystal display device, color oozing is caused thereby and greatly deteriorates the quality of a displayed image. 
     SUMMARY 
     The inventions provide, in part, a liquid crystal display device capable of obtaining a displayed image of higher quality using external ambient light. 
     According to the inventions, there is provided a liquid crystal display device comprising: 
     first and second electrode substrates; a liquid crystal layer held between the first and second electrode substrates and partitioned into a plurality of pixel regions in each of which the alignment of liquid crystal molecules is controlled from the first and second electrode plates; and a reflection plate formed on the first electrode substrate for scattering light entering through the second electrode plate and the liquid crystal layer, wherein the plurality of pixel regions are formed in an approximately matrix manner, and the reflection plate includes types of projection-recess patterns each separated from another of the same type in at least one of the row and column directions of the pixel regions. 
     In the liquid crystal display device, the reflection plate includes types of projection-recess patterns each separated from another of the same type. That is, since adjacent projection-recess patterns are different from each other in at least one of the row direction and the column direction of the pixel regions, the interference of light that is scattered by these projection-recess patterns can be made irregular as a whole. Therefore, difficulty in the observation of an image due to the interference of light can be reduced without impairing an excellent contrast in the reflection display mode. 
     Various objects and advantages of the invention will be set forth in the description which follows, and in part will be apparent from the description, or may be learned by practice of the invention. The objects and advantages of the invention may be realized and obtained by means of the instrumentalities and combinations particularly pointed out hereinafter. 
    
    
     BRIEF DESCRIPTION OF THE DRAWINGS 
     The accompanying drawings, which are incorporated in and constitute a part of the specification, illustrate embodiments of the invention, and together with the general description given above and the detailed description of the embodiments given below, serve to explain the principles of the invention. 
     FIG. 1 is a view showing a partial plane structure of a reflection type liquid crystal display device according to a first embodiment of the present invention; 
     FIG. 2 is a view showing a sectional structure of a pixel region taken along the line II—II shown in FIG. 1; 
     FIG. 3 is a view showing the combination and layout of projection-recess patterns provided for pixel electrodes shown in FIG. 1; 
     FIG. 4 is a view showing a first modification of the combination and layout of the projection-recess patterns shown in FIG. 3; 
     FIG. 5 is a view showing a second modification of the combination and layout of the projection-recess patterns shown in FIG. 3; 
     FIG. 6 is a view showing a partial plane structure of a reflection type liquid crystal display device according to a second embodiment of the present invention; 
     FIG. 7 is a view showing a locus of a light beam in the cross section of a red pixel region taken along the line VII—VII shown in FIG. 6; 
     FIG. 8 is a view showing a locus of a light beam in the cross section of a blue pixel region taken along the line VIII—VIII shown in FIG. 6; 
     FIG. 9 is a view showing the combination and layout of projection-recess patterns provided for pixel electrodes shown in FIG. 6; 
     FIG. 10 is a view showing a modification of the combination and layout of the projection-recess patterns shown in FIG. 9; 
     FIG. 11 is a view showing a partial plane structure of a semi-transmission type liquid crystal display device according to a third embodiment of the present invention; 
     FIG. 12 is a view showing a sectional structure of a pixel region taken along the line XII—XII shown in FIG. 11; 
     FIG. 13 is a view showing a partial plane structure of a semi-transmission type liquid crystal display device according to a fourth embodiment of the present invention; 
     FIG. 14 is a view showing a partial plane structure of a modification of the semi-transmission type liquid crystal display device shown in FIG. 11; 
     FIG. 15 is a view showing a sectional structure of a pixel region taken along the line XV—XV shown in FIG. 14; 
     FIG. 16 is a view showing a partial plane structure of a modification of the semi-transmission type liquid crystal display device shown in FIG. 13; 
     FIG. 17 is a view showing a partial plane structure of a conventional reflection type liquid crystal display device; 
     FIG. 18 is a view showing a locus of a light beam in the cross section of a red pixel region taken along the line XVIII—XVIII shown in FIG. 17; and 
     FIG. 19 is a view showing a locus of a light beam in the cross section of a blue pixel region taken along the line XIX—XIX shown in FIG.  17 . 
    
    
     DETAILED DESCRIPTION 
     A reflection type liquid crystal display device according to a first embodiment of the present invention will be described below with reference to the accompanying drawings. 
     FIG. 1 shows a partial plane structure of the reflection type liquid crystal display device. FIG. 2 shows a sectional structure of a pixel region shown in FIG.  1 . As shown in FIG. 2, the liquid crystal display device comprises an array substrate  78 , a counter substrate  82 , and a liquid crystal layer  85  held therebetween. 
     The array substrate  78  includes an insulation substrate  60 , a plurality of pixel electrodes  77  arranged in a matrix manner, a plurality of signal lines  71  disposed along the columns of the pixel electrodes  77 , a plurality of scanning lines  62  disposed along the rows of the pixel electrodes  77 , a plurality of thin film transistors (TFT) SW each disposed near intersections of a corresponding scanning line  62  and a corresponding signal line  71  and serving as a pixel switching element, a drive circuit for driving the scanning lines  62  and the signal lines  71 , and an alignment film  83  covering the pixel electrodes  77 . The counter substrate  82  includes a light transmitting insulation substrate  79 , a coloring layer  80  formed on the insulation substrate  79 , a transparent counter electrode  81  covering the coloring layer  80 , and an alignment film  84  covering the counter electrodes  81 . The coloring layer  80  includes red, green, and blue striped color filters arranged in the row direction and each facing the pixel electrodes  77  of a corresponding column. Further, a polarizing plate  40  is affixed to the insulation substrate  79  on a side opposite to the coloring layer  80 . In this reflection type liquid crystal display device, the liquid crystal layer  85  is partitioned into a plurality of pixel regions PX according to the pixel electrodes  77 , each pixel region PX is located substantially between two adjacent scanning lines  62  and two adjacent signal lines  71 . Each thin film transistor SW turns on in response to a scanning pulse supplied from a corresponding scanning line  62  to supply the potential of a corresponding signal line  71  to a corresponding pixel electrode  77 . Each pixel electrode  77  applies the potential of a corresponding signal line  71  to a corresponding pixel region PX of the liquid crystal layer  85  as a pixel potential, thereby causing the transmittance of the pixel region PX to be controlled based on the difference between the pixel potential and the potential of the counter electrode  81 . The drive circuit for the scanning lines  62  and the signal lines  71  includes a plurality of thin film transistors, which are formed in the same manner as the pixel switching elements, and the wirings thereof. These thin film transistors are of P- and N-channel types. 
     In the array substrate  78 , each thin film transistor SW includes a semiconductor layer  67 , a gate electrode  64  which is formed above the semiconductor layer  67 , insulated from the same, and connected to a corresponding scanning line  62 , and source and drain electrodes  66  and  65  which are formed in contact with the semiconductor layer  67  through contact holes  69  and  70  on both sides of the gate electrode  64  and connected to a corresponding pixel electrode  77  and a corresponding signal line  71 , respectively. The semiconductor layer  67  is formed on the insulation substrate  60  and covered with a gate insulation film  61  together with the insulation substrate  60 . The gate electrode  64  is insulated from the semiconductor layer  67  by the gate insulation film  61  and formed integrally with a corresponding scanning line  62  on the gate insulation film  61 . Further, a plurality of storage capacitance lines  63  are formed on the gate insulation film  61  and capacitively coupled to the rows of the pixel electrodes  77 , respectively. The gate electrodes  64 , the scanning lines  62 , and the storage capacitance lines  63  are covered with an interlayer insulation film  68  together with the gate insulation film  61 . The contact holes  69  and  70  are formed in the interlayer insulation film  68  and the gate insulation film  61  to expose a source  67   b  and drain  67   a  formed in the semiconductor layer  67  on both sides of the gate electrode  64 . The source and drain electrode  66  and  65  are formed on the interlayer insulation film  68  in contact with the source  67   b  and drain  67   a  of the semiconductor layer  67  exposed by the contact holes  69  and  70 . The source electrode  66  is formed integrally with an extended source electrode  72  on the interlayer insulation film  68 , the drain electrode  65  is formed integrally with the corresponding signal line  71  on the interlayer insulation film  68 . The source electrode  66 , the extended source electrode  72 , the drain electrode  65 , and the corresponding signal line  71  are covered with a protective insulation film  73  together with the interlayer insulation film  68 . The protective insulation film  73  includes a contact hole  74  partially exposing the extended source electrode  72 , and is covered with an organic insulation film  76 . The organic insulation film  76  includes a contact hole  75  partially exposing the extended source electrode  72  within the contact hole  74  of the protective insulation film  73 . The pixel electrode  77  is formed on the organic insulation film  76  in contact with that part of the extended source electrode  72  which corresponds to the contact holes  74  and  75 , and covered with the alignment film  83 . 
     The plurality of pixel electrodes  77  also serve as a reflection plate for scattering light, which enters from the counter substrate  82  side through the liquid crystal layer  85 , at a high reflectance, and are metal layers formed using the upper surface of the organic insulation film  76  as an underlayer. The organic insulation film  76  includes a plurality of projection-recess patterns. Each of the projection-recess patterns having a plurality of semi-spherical projections  77   a  disposed at random in the range of one pixel region PX and a recess  77   b  disposed so as to surround these projections  77   a . The plurality of pixel electrodes  77  contain a metal material such as, for example, silver, aluminum, or the alloys thereof, and are formed in a predetermined thickness along the projection-recess patterns of the organic insulation film  76 . Accordingly, each pixel electrode  77  includes a projection-recess pattern having semi-spherical projections  77   a  which are defined by the semi-spherical projections  77   a  of the organic insulation film  76  so as to be disposed at random in the range of a corresponding pixel region PX, and a recess  77   b  which is defined by the recess  77   b  of the organic insulation film  76  so as to surround the projections  77   a . There are two types of the projection-recess patterns for the pixel electrodes  77  as shown by A and B in FIG.  3 . Each projection-recess pattern is separated from another of the same type in the row and column directions of the pixel electrodes  77 . In the projection-recess pattern of each pixel electrode, the plurality of projections  77   a  constitute main scattering portions to incident light, and the recess  77   b  constitutes a sub-scattering portion to the incident light. 
     Next, a manufacturing process of the aforementioned reflection type liquid crystal display device will be described. 
     In the manufacture of the array substrate  78 , a high strain-point glass plate or quartz plate is used as the insulation substrate  60 . The semiconductor layers  67  are formed in such a manner that amorphous silicon is deposited on the insulation substrate  60  in a thickness of about 50 nm by CVD, annealed in a furnace at 450° C. for one hour, and crystallized as a poly-crystal silicon film by irradiation of an XeCl excimer laser, and then the poly-crystal silicon film is patterned by photo etching. The gate insulation film  61  is formed by depositing SiO x  on the semiconductor layers  67  and the insulation substrate  60  in a thickness of about 100 nm by CVD. Subsequently, the gate electrodes  64 , the scanning lines  62 , the storage capacitance lines  63  and the gate electrodes and other wirings of the thin film transistors for the drive circuit are formed by depositing a single, multi-layered or alloy film of one or more materials selected from Ta, Cr, Al, Mo, W, Cu and the like, on the gate insulation film  61  in a thickness of about 400 nm and patterning it in a predetermined shape by photo etching. Thereafter, an impurity such as phosphorus is doped into the semiconductor layer  67  by ion implantation or ion doping method with the gate electrodes  64  used as a mask. Here, phosphorus ions are accelerated in, for example, an atmosphere of PH 3 /H 2  at an acceleration voltage of 80 keV and implanted at a high concentration of a dose of 5×10 15  atoms/cm 2 . Thereafter, the drain electrodes  65  and the source electrodes  66  of the thin film transistors SW for the pixels and the source and drain electrodes of the N-channel thin film transistors for the drive circuit are formed. 
     Subsequently, the thin film transistors SW for the pixels and the N-channel thin film transistors for the drive circuit are covered with a resist so that impurities are not implanted thereto, and an impurity such as boron is doped with the gate electrodes of the P-channel thin film transistors for the drive circuit used as mask. Here, boron ions are accelerated in, for example, an atmosphere of B 2 H 6/ H 2  at an acceleration voltage of 80 keV and implanted at a high concentration of a dose of 5×10 15  atoms/cm 2 . Then, the source electrodes and the drain electrodes of the P-channel thin film transistors are formed. Ion implantation of an impurity is carried out so as to obtain an LDD (lightly doped drain) structure in the N-channel thin film transistors SW. Thereafter, the ion-implanted regions are activated by annealing to form the sources  67   b  and the drains  67   a.    
     The interlayer insulation film  68  is formed by depositing SiO 2  on the gate electrodes  64 , the scanning lines  62 , the storage capacitance lines  63 , the other wirings for the drive circuit, and the gate insulation film  61  in a thickness of about 500 nm by, for example, PECVD. The interlayer insulation film  68  is patterned by photo etching so as to expose the sources  67   b  and the drains  67   a  of the semiconductor layer  67 , thereby forming the contact holes  69  and  70 . 
     A single, multi-layered or alloy film of one or more materials selected from Ta, Cr, Al, Mo, W, Cu and the like is deposited on the interlayer insulation film  68  in a thickness of about 500 nm and patterned in a predetermined shape by photo etching, thereby forming the signal lines  71 , the source electrodes  66 , the extended source electrodes  72 , and the wirings for the drive circuit. 
     The protective insulation film  73  is formed by depositing SiN x  on the wirings and the interlayer insulation film  68  by PECVD. The contact holes  74  are formed by patterning the protective insulation film  73  by photo etching. 
     A photosensitive resin, for example, is coated as the organic insulation film  76  on the protective insulation film  73  in a thickness of about 2 μm and partially exposed to light in a range corresponding to the contact holes  74  using a photomask for the contact holes  75 . Further, the photosensitive resin is exposed as to light using a photomask for the projection-recess patterns. This photomask has a plurality of circular light-shielding portions disposed in the range of each pixel region PX at random so as not to overlap the signal lines  71 . Here, the amount of exposure for the projection-recess patterns is set to about 10% to 50% of the amount of exposure for the contact holes formed in the organic insulation film  76 . The photomask for the projection-recess patterns has a size of 2×2 pixels shown by thick lines in FIG.  3  and defines the projection-recess pattern A at pattern positions ( 1 ,  1 ) and ( 2 ,  2 ) and the projection-recess pattern B at pattern positions ( 2 ,  1 ) and ( 1 ,  2 ). Exposure is performed while shifting the photomask at a pitch of two pixels in the row direction of the pixel electrodes  77  shown by an arrow in FIG. 3, for example. In this case, each time the photomask reaches a final pixel electrode  77  of each row, it is further shifted in the column direction of the pixel electrodes  77  by two pixels. Inversely, the exposure may be performed while shifting the photomask at a pitch of two pixels in the column direction of the pixel electrodes  77 . In this case, each time the photomask reaches a final pixel electrode  77  of each column, it is further shifted in the row direction of the pixel electrodes  77  by two pixels. 
     The organic insulation film  76  is subjected to development to remove the aforementioned exposed portions, thereby forming the plurality of projections  77   a  and the recess  77   b  on the organic insulation film  76  together with the contact holes  75 . At this time, the projections  77   a  and the recess  77   b  are in an acute angle state. Thus, the array substrate  78  is subjected to heat treatment at, for example, 200° C. for about 60 minutes, thereby causing the surfaces of the projections  77   a  and the recess  77   b  to be rounded and smoothed. 
     A metal film of, for example, Al, Ni, Cr, Ag or the like is deposited on the organic insulation film  76  in a thickness of about 200 nm by sputtering and patterned in a predetermined shape by photo etching to obtain the pixel electrodes  77  formed in contact with the extended source electrodes  72  and capacitively coupled with the storage capacitance lines  63 . 
     Subsequently, a plurality of columnar spacers are formed in predetermined regions to secure a predetermined gap defining the thickness of the liquid crystal layer  85 . Then, the alignment film  83  is formed by a rubbing process of low temperature curing type polyimide which is coated by printing in a thickness of about 3 μm so as to cover the pixel electrodes  77  and the organic insulation film  76 . 
     In the manufacture of the counter substrate  82 , a high strain-point glass plate or quartz plate is used as the light transmitting insulation substrate  79 , and the coloring layer  80 , in which pigments are dispersed, is formed on the insulation substrate  79 . The transparent counter electrode  81  is formed by depositing, for example, ITO on the coloring layer  80  by sputtering. Subsequently, the alignment film  84  is formed by a rubbing process of low temperature curing type polyimide coated by printing in a thickness of about 3 μm so as to cover the counter electrodes  81 . Note that the alignment films  83  and  84  are rubbed in directions causing the alignment axes thereof to be offset by, for example, 70° to each other. 
     The array substrate  78  is integrated with the counter substrate  82  after the alignment films  83  and  84  are formed. Specifically, the array substrate  78  and the counter substrate  82  are opposed with the alignment films  83  and  84  disposed inside thereof and bonded to each other by a peripheral sealing member. The liquid crystal layer  85  is obtained by pouring a liquid crystal composition such as nematic liquid crystal poured into a liquid crystal pouring space serving as a cell surrounded and sealed by the peripheral sealing member between the array substrate  78  and the counter substrate  82 . The polarizing plate  40  is affixed to the insulation substrate  79  on the side opposite to the coloring layer  80  in the state where the liquid crystal layer  85  is held between the array substrate  78  and the counter substrate  82 . The reflection type liquid crystal display device is completed as described above. 
     According to the liquid crystal display device of the first embodiment, the reflection plate is composed of the plurality of pixel electrodes  77 . Each pixel electrode  77  has one of the projection-recess patterns A and B. The projection-recess patterns A and B are formed in the pixel electrodes  77  in such a combination that each projection-recess pattern is not located next to another of the same type. That is, different types of projection-recess patterns are arranged side by side in each of the row and column directions of pixel regions PX, the interference of light that is scattered by projection-recess patterns A and B of the pixel electrodes  77  can be made irregular as a whole. As a result, difficulty in the observation of an image due to the interference of light can be reduced without impairing an excellent contrast. 
     FIG. 4 shows a first modification of the layout of the patterns shown in FIG.  3 . In the first modification, a projection-recess pattern photomask has a size of 3×3 pixels as shown by thick lines in FIG. 4, and defines a projection-recess pattern A at pattern positions ( 1 ,  1 ), ( 2 ,  3 ), and ( 3 ,  2 ), a projection-recess pattern B at pattern positions ( 1 ,  2 ), ( 2 ,  1 ), and ( 3 ,  3 ), and a projection-recess patterns C at pattern positions ( 1 ,  3 ), ( 2 ,  2 ), and ( 3 ,  1 ). As shown by, for example, an arrow of FIG.  4 . Exposure is performed while shifting the photomask at a pitch of three pixels in the row direction of the pixel electrodes  77  shown by an arrow in FIG. 4, for example. In this case, each time the photomask reaches a final pixel electrode  77  of each row, it is further shifted in the column direction of the pixel electrodes  77  by three pixels. 
     According to the first modification, the projection-recess patterns A, B, and C are formed in the plurality of pixel electrodes  77  in such a combination that each projection-recess pattern is not located next to another of the same type. In particular, according to the layout of the projection-recess patterns of the first modification, the interference of light, that is scattered by the projection-recess patterns A, B and C of the pixel electrodes  77 , can be made more irregular as a whole as compared with the interference of light scattered by the projection-recess patterns arranged as shown in FIG.  3 . As a result, difficulty in the observation of an image due to the interference of light can be more reduced without impairing an excellent contrast. 
     FIG. 5 shows a second modification of the layout of the patterns shown in FIG.  3 . In the second modification, a projection-recess pattern photomask has a size of 3×3 pixels as shown by thick lines in FIG. 5, and defines a projection-recess pattern A at pattern positions ( 1 ,  1 ), ( 2 ,  3 ), and ( 3 ,  2 ), a projection-recess pattern B at pattern positions ( 1 ,  2 ), ( 2 ,  1 ), and ( 3 ,  3 ), and a projection-recess pattern C at pattern positions ( 1 ,  3 ), ( 2 ,  2 ), and ( 3 ,  1 ). As shown by, for example, an arrow of FIG. 5, exposure is performed while shifting the photomask at a pitch of three pixels in the row direction of the pixel electrodes  77  and at a pitch of two pixels in the column direction thereof. 
     According to the second modification, the projection-recess patterns A, B, and C are formed in the plurality of pixel electrodes  77  in such a combination that each projection-recess pattern is not located next to another of the same type. In particular, according to the layout of the projection-recess patterns of the second modification, the interference of light, that is scattered by the projection-recess patterns A, B and C of the pixel electrodes  77 , can be made more irregular as a whole as compared with the interference of light scattered by the projection-recess patterns arranged as shown in FIG.  4 . As a result, difficulty in the observation of an image due to the interference of light can be more reduced without impairing an excellent contrast. 
     Next, a reflection type liquid crystal display device according to a second embodiment of the present invention will be described below with reference to the accompanying drawings. FIG. 6 shows a partial plane structure of the reflection type liquid crystal display device. The liquid crystal display device is arranged similarly to that of the first embodiment except for the following arrangement. Thus, the same reference numerals as used in the first embodiment are used in FIG. 6 to denote the same portions, and the description thereof is omitted. 
     In this reflection type liquid crystal display device, types of projection-recess patterns are formed in the pixel electrodes  77  of pixel regions PX for different display colors, respectively. The average pitch of the main scattering portions of each projection-recess pattern depends on the wavelength λ of the display color assigned to a corresponding pixel region PX. Specifically, the average pitch of the projections  77   a  disposed in each pixel electrode  77  at random is determined according to the wavelength λ of a corresponding filter color of the coloring layer  80 . 
     The pixel electrodes  77  of an n-th column, the pixel electrodes  77  of an (n+1)-th column, and the pixel electrodes  77  of an (n+2)-th column face red, green, and blue color filters, respectively (n=1, 2, 3 . . .). These pixel electrodes  77  include, for example, projection-recess patterns R in each of which a plurality of projections  77   a  serving as red pixel is main scattering portions are disposed at random at an average pitch of d red , projection-recess patterns G in each of which a plurality of projections  77   a  serving as green pixel main scattering portions are disposed at random at an average pitch of d green , and projection-recess patterns B in each of which a plurality of projections  77   a  serving as blue pixel main scattering portions are disposed at random at an average pitch of d blue . Further, in each of the projection-recess patterns R, G, and B, a recess  77   b  serving as a sub-scattering portion is disposed so as to surround the projections  77   a  similarly to the first embodiment. 
     These average pitches d red , d green , and d blue  are set such that they are shorter as the wavelengths λ of the colors of the color filters are shorter and set longer as they are longer. Thus, the relationship of d red &gt;d green &gt;d blue  is established therebetween. Specifically, the average pitches are set such that white light, beams which enter from one direction, are reflected in different directions according to the respective wavelengths λ in the red, green and blue pixel regions, so that they can exit in the same direction in order to attain excellent color display of white. 
     Next, the locus of a light beam in a conventional reflection type liquid crystal display device in which a single type of projection-recess pattern is formed in all the pixel electrodes as shown in FIG. 17 will be compared with the locus of a light beam in the reflection type liquid crystal display device of the second embodiment as shown in FIG.  6 . FIG. 18 shows the locus of a light beam in the cross section of a red pixel region taken along the line XVIII—XVIII shown in FIG. 17, and FIG. 19 shows the locus of a light beam in the cross section of a blue pixel region taken along the line XIX—XIX shown in FIG.  17 . In FIGS. 18 and 19, n 1  shows a refractive index in air, n 2  shows a refractive index of a liquid crystal material, θ 1  shows an incident angle of incident light traveling from the outside to the liquid crystal layer, θ 2  shows an exit angle of the incident light refracted by the liquid crystal layer and traveling to the pixel electrode, θ 3  shows an inclination of the pixel electrode with respect to a horizontal plane, and θ 4  shows an exit angle of the reflected light reflected by the pixel electrode and traveling to the outside of the liquid crystal layer, respectively. The exit angle θ 4  has the following relationship with respect to the incident angle θ 1 , the inclination θ 3 , the refractive index n 1 , and the refractive index n 2 .            sin                   θ   4       =       sin                   θ   1        cos                 2                   θ   3       +     sin                 2        θ   3                (       n   2       n   1       )     2     -       sin   2          θ   1                                            
     The refractive index n 2  of the liquid crystal material is usually larger when a wavelength is shorter. Thus, the above formula shows that when the wavelength λ is shorter, the exit angle θ 4  is larger with respect to the incident light from the θ 1  direction. That is, when the exit angle of the red component light is shown by θ 4 (red)  and the exit angle of blue component light is shown by θ 4 (blue) , there is established a relationship θ 4 (red) &gt;θ 4 (blue) . Accordingly, when a single type of projection-recess pattern is formed in all the pixel electrodes regardless of display color, as in the conventional reflection type liquid crystal display device shown in FIG. 17, excellent color display of white cannot be achieved since the color components of reflected light are separately observed from a viewpoint on a line oblique to the liquid crystal layer. 
     In contrast, in the reflection type liquid crystal display device of the second embodiment shown in FIG. 6, the projection-recess patterns R, G, and B are formed in the pixel electrodes  77  of the red, green, and blue pixel regions PX, respectively. Further, the average pitches of the main scattering portions of the projection-recess patterns R, G, and B depend on the wavelengths λ of red, green, and blue which are the display colors of the respective pixel regions PX. FIG. 7 shows the locus of a light beam in the cross section of a red pixel region taken along the line VII—VII shown in FIG.  6 . FIG. 8 shows the locus of a light beam in the cross section of a blue pixel region taken along the line VIII—VIII shown in FIG.  6 . In FIGS. 7 and 8, n 1  shows a refractive index in air, n 2  shows a refractive index of a liquid crystal material, θ 1  shows an incident angle of incident light traveling from the outside to the liquid crystal layer, θ 2  shows an exit angle of the incident light refracted by the liquid crystal layer and traveling to the pixel electrode, θ 3  shows an inclination of the pixel electrode with respect to a horizontal plane, and θ 4  shows an exit angle of the reflected light reflected by the pixel electrode and traveling to the outside of the liquid crystal layer, respectively. The pitch of the projections  77   a  in FIG. 7 is longer than that in FIG.  8 . The difference of height between the projections  77   a  and the recess  77   b  is not varied with the pitch. However, a longer pitch can make the maximum value of the inclination θ 3  of the pixel electrode  77  smaller with respect to the horizontal plane. That is, when the pitch, which prescribes the inclination θ 3  of the pixel electrodes  77 , is set longer to obtain the inclination θ 3 ′ of the pixel electrode  77 , the inclinations θ 3  and θ 3 ′ have a relationship θ 3′ &lt;θ 3 . Thus, the exit angles can be set to a substantially constant value that does not depend on the display color, by selecting a pitch for each display color from the relationship of the above formula so as to establish a relationship of exit angle θ 4  (red) of the red component light=exit angle θ 4 (blue)  of the blue component light. With this structure, excellent color display of white can be achieved without causing the color components of reflected light to be separately observed from a viewpoint on a line oblique to the liquid crystal layer  85 . 
     A projection-recess pattern photomask has a size of 1×3 pixels as shown by thick lines in FIG. 9, and defines a projection-recess pattern R at a pattern position ( 1 ,  1 ), a projection-recess pattern G at a pattern position ( 1 ,  2 ), and a projection-recess pattern B at a pattern position ( 1 ,  3 ). As shown by, for example, an arrow of FIG. 9, exposure is performed while shifting the photomask at a pitch of three pixels in the row direction of the pixel electrodes  77 . In this case, each time the photomask reaches a final pixel electrode  77  of each row, it is further shifted in the column direction of the pixel electrodes  77  by one pixel. 
     According to the liquid crystal display device of the embodiment, the projection-recess patterns R, G, and B are formed in the plurality of pixel electrodes  77  in such a combination that each projection-recess pattern are not located next to another of the same type. With this arrangement, the interference of light that is scattered by the projection-recess patterns R, G, and B of the pixel electrodes  77  can be made irregular as a whole. Therefore, difficulty in the observation of an image due to the interference of light can be more reduced without impairing an excellent contrast. Further, the average pitches of the main scattering portions of the projection-recess patterns R, G, and B, that is, the average pitches of the projections  77   a  are determined according to the wavelengths λ of red, green, and blue color filters, respectively such that the exit angles θ 4  coincide with each other. Thus, excellent color display of white can be achieved without causing the color components of reflected light to be separately observed from a viewpoint on a line oblique to the liquid crystal layer  85 . 
     FIG. 10 shows a modification of the combination and the layout of the projection-recess patterns shown in FIG.  9 . This modification is applied to a case in which the red, green, and blue color filters are arranged in a matrix manner in place of a striped manner. In this case, a projection-recess pattern photomask has a size of 3×3 pixels as shown by thick lines in FIG. 10, and defines a projection-recess pattern R at pattern positions ( 1 ,  1 ), ( 2 ,  3 ), and ( 3 ,  2 ) that correspond to red pixel regions PX, a projection-recess pattern G at pattern positions ( 1 ,  2 ), ( 2 ,  1 ), and ( 3 ,  3 ) that correspond to green pixel regions PX, and a projection-recess pattern B at pattern positions ( 1 ,  3 ), ( 2 ,  2 ), and ( 3 ,  1 ) that correspond to blue pixel regions PX. As shown by, for example, an arrow in FIG. 10, exposure is performed while shifting the photomask at a pitch of three pixels in the row direction of the pixel electrodes  77 . In this case, each time the photomask reaches a final pixel electrode  77  of each row, it is further shifted in the column direction of the pixel electrodes  77  by three pixels. 
     According to this modification, even if the display colors of the pixel regions PX are different in each column, an effect similar to that of the second embodiment can be obtained. 
     A semi-transmission type liquid crystal display device according to a third embodiment of the present invention will be described below with reference to the accompanying drawings. 
     FIG. 11 shows a partial plane structure of the semi-transmission type liquid crystal display device. FIG. 12 shows a sectional structure of a pixel region taken along the line XII—XII shown in FIG.  11 . As shown in FIG. 12, the liquid crystal display device includes an array substrate  78 , a counter substrate  82 , and a liquid crystal layer  85  held therebetween. The same reference numerals as used in the first embodiment are used in FIGS. 11 and 12 to denote the same portions. 
     The array substrate  78  includes an insulation substrate  60 , a plurality of pixel electrodes  77  arranged in a matrix manner, a plurality of signal lines  71  disposed along the columns of the pixel electrodes  77 , a plurality of scanning lines  62  disposed along the rows of the pixel electrodes  77 , a plurality of thin film transistors (TFT) SW each disposed near intersections of a corresponding scanning line  62  and a corresponding signal line  71  and serving as a pixel switching element, a drive circuit for driving the scanning lines  62  and the signal lines  71 , and an alignment film  83  covering the pixel electrodes  77 . The counter substrate  82  includes a light transmitting insulation substrate  79 , a coloring layer  80  formed on the insulation substrate  79 , a transparent counter electrode  81  covering the coloring layer  80 , and an alignment film  84  covering the counter electrodes  81 . The coloring layer  80  includes red, green, and blue striped color filers arranged in the row direction and each facing the pixel electrodes  77  of a corresponding column. Further, polarizing plates  40  are affixed to the insulation substrates  60  and  79  on sides opposite to the liquid crystal layer  85 . In this reflection type liquid crystal display device, the liquid crystal layer  85  is partitioned into a plurality of pixel regions PX according to the pixel electrodes  77 , each pixel region PX is located substantially between two adjacent scanning lines  62  and two adjacent signal lines  71 . Each thin film transistor SW turns on in response to a scanning pulse supplied from a corresponding scanning line  62  to supply the potential of a corresponding signal line  71  to a corresponding pixel electrode  77 . Each pixel electrode  77  applies the potential of a corresponding signal line  71  to a corresponding pixel region PX of the liquid crystal layer  85  as a pixel potential, thereby causing the transmittance of the pixel region PX to be controlled based on the difference between the pixel potential and the potential of the counter electrode  81 . The drive circuit for the scanning lines  62  and the signal lines  71  includes a plurality of thin film transistors, which are formed in the same manner as the pixel switching elements, and the wirings thereof. These thin film transistors are of P- and N-channel types. 
     In the array substrate  78 , each thin film transistor SW includes a semiconductor layer  67 , a gate electrode  64  which is formed above the semiconductor layer  67 , insulated from the same, and connected to a corresponding scanning line  62 , and source and drain electrodes  66  and  65  which are formed in contact with the semiconductor layer  67  through contact holes  69  and  70  on both sides of the gate electrode  64  and connected to a corresponding pixel electrode  77  and a corresponding signal line  71 , respectively. The semiconductor layer  67  is formed on the insulation substrate  60  and covered with a gate insulation film  61  together with the insulation substrate  60 . The gate electrode  64  is insulated from the semiconductor layer  67  by the gate insulation film  61  and formed integrally with a corresponding scanning line  62  on the gate insulation film  61 . Further, a plurality of storage capacitance lines  63  are formed on the gate insulation film  61  and capacitively coupled to the rows of the pixel electrodes  77 , respectively. The gate electrodes  64 , the scanning lines  62 , and the storage capacitance lines  63  are covered with an interlayer insulation film  68  together with the gate insulation film  61 . The contact holes  69  and  70  are formed in the interlayer insulation film  68  and the gate insulation film  61  to expose a source  67   b  and drain  67   a  formed in the semiconductor layer  67  on both sides of the gate electrode  64 . The source and drain electrode  66  and  65  are formed on the interlayer insulation film  68  in contact with the source  67   b  and drain  67   a  of the semiconductor layer  67  exposed by the contact holes  69  and  70 . The source electrode  66  is formed integrally with an extended source electrode  72  on the interlayer insulation film  68 , the drain electrode  65  is formed integrally with the corresponding signal line  71  on the interlayer insulation film  68 . The source electrode  66 , the extended source electrode  72 , the drain electrode  65 , and the corresponding signal line  71  are covered with a protective insulation film  73  together with the interlayer insulation film  68 . The protective insulation film  73  includes a contact hole  74  partially exposing the extended source electrode  72 , and is covered with an organic insulation film  76 . The organic insulation film  76  includes a contact hole  75  partially exposing the extended source electrode  72  within the contact hole  74  of the protective insulation film  73 . The pixel electrode  77  is formed on the organic insulation film  76  in contact with that part of the extended source electrode  72  which corresponds to the contact holes  74  and  75 , and covered with the alignment film  83 . 
     Each of the pixel electrodes  77  includes a reflecting portion for scattering the light, which enters from the counter substrate  82  side through the liquid crystal layer  85 , at a high reflectance, and a transmission region for transmitting the light from a back light with absorption. The pixel electrodes  77  are formed using the upper surface of the organic insulation film  76  as an underlayer. The organic insulation film  76  includes a plurality of projection-recess patterns having a plurality of semi-spherical projections  77   a  disposed at random in the range of one pixel region PX and a recess  77   b  disposed so as to surround these projections  77   a . The light-transmitting portion electrodes  77   c  of the pixel electrodes  77  is a light-transmitting conductive film, for example, of ITO. Further, the reflecting portion electrodes of the pixel electrodes  77  contain a metal material such as, for example, silver, aluminum, or the alloys thereof, and are formed in a predetermined thickness along the projection-recess patterns of the organic insulation film  76 . Accordingly, the reflecting portion of the each pixel electrode  77  includes a projection-recess pattern having semi-spherical projections  77   a  which are defined by the semi-spherical projections  77   a  of the organic insulation film  76  so as to be disposed at random in the range of a corresponding pixel region PX, and a recess  77   b  which is defined by the recess  77   b  of the organic insulation film  76  so as to surround the projections  77   a . There are two types of the projection-recess patterns for the pixel electrodes  77  as shown by A and B in FIG.  3 . Each projection-recess pattern is separated from another of the same type in the row and column directions of the pixel electrodes  77 . In the projection-recess pattern of each pixel electrode, the plurality of projections  77   a  constitute main scattering portions to incident light, and the recess  77   b  constitutes a sub-scattering portion to the incident light. 
     Next, a manufacturing process of the aforementioned semi-transmission type liquid crystal display device will be described. 
     In the manufacture of the array substrate  78 , a high strain-point glass plate or quartz plate is used as the insulation substrate  60 . The semiconductor layers  67  are formed in such a manner that amorphous silicon is deposited on the insulation substrate  60  in a thickness of about 50 nm by CVD, annealed in a furnace at 450° C. for one hour, and crystallized as a poly-crystal silicon film by irradiation of an XeCl excimer laser, and then the poly-crystal silicon film is patterned by photo etching. The gate insulation film  61  is formed by depositing SiO x  on the semiconductor layers  67  and the insulation substrate  60  in a thickness of about 100 nm by CVD. Subsequently, the gate electrodes  64 , the scanning lines  62 , the storage capacitance lines  63  and the gate electrodes and other wirings of the thin film transistors for the drive circuit are formed by depositing a single, multi-layered or alloy film of one or more materials selected from Ta, Cr, Al, Mo, W, Cu and the like, on the gate insulation film  61  in a thickness of about 400 nm and patterning it in a predetermined shape by photo etching. Thereafter, an impurity such as phosphorus is doped into the semiconductor layer  67  by ion implantation or ion doping method with the gate electrodes  64  used as a mask. Here, phosphorus ions are accelerated in, for example, an atmosphere of PH 3 /H 2  at an acceleration voltage of 80 keV and implanted at a high concentration of a dose of 5×10 15  atoms/cm 2 . Thereafter, the drain electrodes  65  and the source electrodes  66  of the thin film transistors SW for the pixels and the source and drain electrodes of the N-channel thin film transistors for the drive circuit are formed. 
     Subsequently, the thin film transistors SW for the pixels and the N-channel thin film transistors for the drive circuit are covered with a resist so that impurities are not implanted thereto, and an impurity such as boron is doped with the gate electrodes of the P-channel thin film transistors for the drive circuit used as mask. Here, boron ions are accelerated in, for example, an atmosphere of B 2 H 6 /H 2  at an acceleration voltage of 80 keV and implanted at a high concentration of a dose of 5×10 15  atoms/cm 2 . Then, the source electrodes and the drain electrodes of the P-channel thin film transistors are formed. Ion implantation of an impurity is carried out so as to obtain an LDD (lightly doped drain) structure in the N-channel thin film transistors SW. Thereafter, the ion-implanted regions are activated by annealing to form the sources  67   b  and the drains  67   a.    
     The interlayer insulation film  68  is formed by depositing SiO 2  on the gate electrodes  64 , the scanning lines  62 , the storage capacitance lines  63 , the other wirings for the drive circuit, and the gate insulation film  61  in a thickness of about 500 nm by, for example, PECVD. The interlayer insulation film  68  is patterned by photo etching so as to expose the sources  67   b  and the drains  67   a  of the semiconductor layer  67 , thereby forming the contact holes  69  and  70 . 
     A single, multi-layered or alloy film of one or more materials selected from Ta, Cr, Al, Mo, W, Cu and the like is deposited on the interlayer insulation film  68  in a thickness of about 500 nm and patterned in a predetermined shape by photo etching, thereby forming the signal lines  71 , the source electrodes  66 , the extended source electrodes  72 , and the wirings for the drive circuit. 
     The protective insulation film  73  is formed by depositing SiN x  on the wirings and the interlayer insulation film  68  by PECVD. The contact holes  74  are formed by patterning the protective insulation film  73  by photo etching. 
     A photosensitive resin, for example, is coated as the organic insulation film  76  on the protective insulation film  73  in a thickness of about 2 μm and partially exposed to light in a range corresponding to the contact holes  74  using a photomask for the contact holes  75 . Further, the photosensitive resin is exposed to light using a photomask for the projection-recess patterns. This photomask has a plurality of circular light-shielding portions disposed in the range of each pixel region PX at random so as not to overlap the signal lines  71 . Here, the amount of exposure for the projection-recess patterns is set to about 10% to 50% of the amount of exposure for the contact holes formed in the organic insulation film  76 . In the same manner as the first embodiment, the photomask for the projection-recess patterns has a size of 2×2 pixels shown by thick lines in FIG. 3, and defines the projection-recess pattern A at pattern positions ( 1 ,  1 ) and ( 2 ,  2 ) and the projection-recess pattern B at pattern positions ( 2 ,  1 ) and ( 1 ,  2 ). 
     The organic insulation film  76  is subjected to development to remove the aforementioned exposed portions, thereby forming the plurality of projections  77   a  and the recess  77   b  on the organic insulation film  76  together with the contact holes  75 . At this time, the projections  77   a  and the recess  77   b  are in an acute angle state. Thus, the array substrate  78  is subjected to heat treatment at, for example, 200° C. for about 60 minutes, thereby causing the surfaces of the projections  77   a  and the recess  77   b  to be rounded and smoothed. 
     The light-transmitting conductive film of ITO is deposited on the organic insulation film  76  in a thickness of about 50 nm by sputtering and patterned in a predetermined shape by photo etching, thereby forming the light-transmitting portions  77   c  of the pixel electrodes  77 . Thereafter, a single, multi-layered or alloy film of one or more materials selected from Ta, Cr, Al, Mo, W, Cu and the like is deposited on the organic insulation film  76  in a thickness of about 200 nm by sputtering, and patterned in a predetermined shape by photo etching, thereby forming the reflecting portions of the pixel electrodes  77 . The pixel electrodes  77  are in contact with the extended source regions  72  and capacitively coupled to the storage capacitance lines  63 . 
     Subsequently, a plurality of columnar spacers are formed in predetermined regions to secure a predetermined gap defining the thickness of the liquid crystal layer  85 . Then, the alignment film  83  is formed by a rubbing process of low temperature curing type polyimide which is coated by printing in a thickness of about 3 μm so as to cover the pixel electrodes  77  and the organic insulation film  76 . 
     In the manufacture of the counter substrate  82 , a high strain-point glass plate or quartz plate is used as the light transmitting insulation substrate  79 , and the coloring layer  80 , in which pigments are dispersed, is formed on the insulation substrate  79 . The transparent counter electrode  81  is formed by depositing, for example, ITO on the coloring layer  80  by sputtering. Subsequently, the alignment film  84  is formed by a rubbing process of low temperature curing type polyimide coated by printing in a thickness of about 3 μm so as to cover the counter electrodes  81 . Note that the alignment films  83  and  84  are rubbed in directions causing the alignment axes thereof to be offset by, for example, 70° to each other. 
     The array substrate  78  is integrated with the counter substrate  82  after the alignment films  83  and  84  are formed. Specifically, the array substrate  78  and the counter substrate  82  are opposed with the alignment films  83  and  84  disposed inside thereof and bonded to each other by a peripheral sealing member. The liquid crystal layer  85  is obtained by pouring a liquid crystal composition such as nematic liquid crystal poured into a liquid crystal pouring space serving as a cell surrounded and sealed by the peripheral sealing member between the array substrate  78  and the counter substrate  82 . The polarizing plates  40  are affixed to the insulation substrates  60  and  79  on the sides opposite to the liquid crystal layer  85  in the state where the liquid crystal layer  85  is held between the array substrate  78  and the counter substrate  82 . The semi-transmission type liquid crystal display device is completed as described above. 
     According to the semi-transmission type liquid crystal display device of the third embodiment, the reflection plate is composed of the plurality of pixel electrodes  77 . Each pixel electrode  77  has one of the projection-recess patterns A and B. The projection-recess patterns A and B are formed in the pixel electrodes  77  in such a combination that each projection-recess pattern is not located next to another of the same type. That is, different types of projection-recess patterns are arranged side by side in each of the row and column directions of pixel regions PX, the interference of light that is scattered by projection-recess patterns A and B of the pixel electrodes  77  can be made irregular as a whole. As a result, difficulty in the observation of an image due to the interference of light can be reduced without impairing an excellent contrast. 
     Note that the layout of the patterns shown in FIG. 3 may be replaced with the layouts of the patterns shown in FIGS. 4 and 5 as the modification. 
     Next, a semi-transmission type liquid crystal display device according to a fourth embodiment of the present invention will be described. FIG. 13 shows a partial plane structure of the semi-transmission type liquid crystal display device. The liquid crystal display device is arranged similarly to that of the third embodiment except the following arrangement. Thus, the same reference numerals as used in the third embodiment are used in FIG. 13 to denote the same portions, and the description thereof is omitted. 
     In this semi-transmission type liquid crystal display device, types of projection-recess patterns are formed in the pixel electrodes  77  of pixel regions PX for different display colors, respectively. The average pitch of the main scattering portions of each projection-recess pattern depends on the wavelength λ of the display color assigned to a corresponding pixel region PX. Specifically, the average pitch of the projections  77   a  disposed in each pixel electrode  77  at random is determined according to the wavelength λ of a corresponding filter color of the coloring layer  80 . 
     The pixel electrodes  77  of an n-th column, the pixel electrodes  77  of an (n+1)-th column, and the pixel electrodes  77  of an (n+2)-th column face red, green, and blue color filters, respectively (n=1, 2, 3 . . .). These pixel electrodes  77  include, for example, projection-recess patterns R in each of which a plurality of projections  77   a  serving as red pixel main scattering portions are disposed at random at an average pitch of d red , projection-recess patterns G in each of which a plurality of projections  77   a  serving as green pixel main scattering portions are disposed at random at an average pitch of d green , and projection-recess patterns B in each of which a plurality of projections  77   a  serving as blue pixel main scattering portions are disposed at random at an average pitch of d blue . Further, in each of the projection-recess patterns R, G, and B, a recess  77   b  serving as a sub-scattering portion is disposed so as to surround the projections  77   a  similarly to the first embodiment. 
     These average pitches d red , d green , and d blue  are set such that they are shorter as the wavelengths λ of the colors of the color filters are shorter and set longer as they are longer. Thus, the relationship of d red &gt;d green &gt;d blue  is established therebetween. Specifically, the average pitches are set such that white light, beams which enter from one direction, are reflected in different directions according to the respective wavelengths λ in the red, green and blue pixel regions, so that they can exit in the same direction in order to attain excellent color display of white. 
     Next, the locus of a light beam in a conventional reflection type liquid crystal display device in which a single type of projection-recess pattern is formed in all the pixel electrodes as shown in FIG. 17 will be compared with the locus of a light beam in the semi-transmission type liquid crystal display device of the fourth embodiment as shown in FIG.  13 . As described in the second embodiment, FIG. 18 shows the locus of a light beam in the cross section of a red pixel region taken along the line XVIII—XVIII shown in FIG. 17, and FIG. 19 shows the locus of a light beam in the cross section of a blue pixel region taken along the line XIX—XIX shown in FIG.  17 . In FIGS. 18 and 19, n 1  shows a refractive index in air, n 2  shows a refractive index of a liquid crystal material, θ 1  shows an incident angle of incident light traveling from the outside to the liquid crystal layer, θ 2  shows an exit angle of the incident light refracted by the liquid crystal layer and traveling to the pixel electrode, θ 3  shows an inclination of the pixel electrode with respect to a horizontal plane, and θ 4  shows an exit angle of the reflected light reflected by the pixel electrode and traveling to the outside of the liquid crystal layer, respectively. The exit angle θ 4  has the following relationship with respect to the incident angle θ 1 , the inclination θ 3 , the refractive index n 1 , and the refractive index n 2 .            sin                   θ   4       =       sin                   θ   1        cos                 2                   θ   3       +     sin                 2        θ   3                (       n   2       n   1       )     2     -       sin   2          θ   1                                            
     The refractive index n 2  of the liquid crystal material is usually larger when a wavelength is shorter. Thus, the above formula shows that when the wavelength λ is shorter, the exit angle θ 4  is larger with respect to the incident light from the θ 1  direction. That is, when the exit angle of the red component light is shown by θ 4 (red)  and the exit angle of blue component light is shown by θ 4 (blue) , there is established a relationship θ 4 (red) &gt;θ 4 (blue) . Accordingly, when a single type of projection-recess pattern is formed in all the pixel electrodes regardless of display color, as in the conventional reflection type liquid crystal display device shown in FIG. 17, excellent color display of white cannot be achieved since the color components of reflected light are separately observed from a viewpoint on a line oblique to the liquid crystal layer. 
     In contrast, in the semi-transmission type liquid crystal display device of the fourth embodiment shown in FIG. 13, the projection-recess patterns R, G, and B are formed in the pixel electrodes  77  of the red, green, and blue pixel regions PX, respectively. Further, the average pitches of the main scattering portions of the projection-recess patterns R, G, and B depend on the wavelengths λ of red, green, and blue which are the display colors of the respective pixel regions PX. The locus of a light beam in the cross section of a red pixel region taken along the line VII—VII shown in FIG. 13 is formed as shown in FIG.  7 . The locus of a light beam in the cross section of a blue pixel region taken along the line VIII—VIII shown in FIG. 13 is formed as shown in FIG.  8 . In FIGS. 7 and 8, n 1  shows a refractive index in air, n 2  shows a refractive index of a liquid crystal material, θ 1  shows an incident angle of incident light traveling from the outside to the liquid crystal layer, θ 2  shows an exit angle of the incident light refracted by the liquid crystal layer and traveling to the pixel electrode, θ 3  shows an inclination of the pixel electrode with respect to a horizontal plane, and θ 4  shows an exit angle of the reflected light reflected by the pixel electrode and traveling to the outside of the liquid crystal layer, respectively. The pitch of the projections  77   a  in FIG. 7 is longer than that in FIG.  8 . The difference of height between the projections  77   a  and the recess  77   b  is not varied with the pitch. However, a longer pitch can make the maximum value of the inclination θ 3  of the pixel electrode  77  smaller with respect to the horizontal plane. That is, when the pitch, which prescribes the inclination θ 3  of the pixel electrodes  77 , is set longer to obtain the inclination θ 3 ′ of the pixel electrode  77 , the inclinations θ 3  and θ 3 ′ have a relationship θ 3 ′&lt;θ 3 . Thus, the exit angles can be set to a substantially constant value that does not depend on the display color, by selecting a pitch for each display color from the relationship of the above formula so as to establish a relationship of exit angle θ 4 (red)  of the red component light=exit angle θ 4 (blue)  of the blue component light. With this structure, excellent color display of white can be achieved without causing the color components of reflected light to be separately observed from a viewpoint on a line oblique to the liquid crystal layer  85 . 
     A projection-recess pattern photomask has a size of 1×3 pixels as shown by thick lines in FIG. 9 in the same manner as the second embodiment, and defines a projection-recess pattern R at a pattern position ( 1 ,  1 ), a projection-recess pattern G at a pattern position ( 1 ,  2 ), and a projection-recess pattern B at a pattern position ( 1 ,  3 ). As shown by, for example, an arrow of FIG. 9, exposure is performed while shifting the photomask at a pitch of three pixels in the row direction of the pixel electrodes  77 . In this case, each time the photomask reaches a final pixel electrode  77  of each row, it is further shifted in the column direction of the pixel electrodes  77  by one pixel. 
     According to the semi-transmission type liquid crystal display device of the fourth embodiment, an effect similar to that of the reflection type liquid crystal display device of the second embodiment can be obtained. That is, the projection-recess patterns R, G, and B are formed in the plurality of pixel electrodes  77  in such a combination that each projection-recess pattern are not located next to another of the same type. With this arrangement, the interference of light that is scattered by the projection-recess patterns R, G, and B of the pixel electrodes  77  can be made irregular as a whole. Therefore, difficulty in the observation of an image due to the interference of light can be more reduced without impairing an excellent contrast. Further, the average pitches of the main scattering portions of the projection-recess patterns R, G, and B, that is, the average pitches of the projections  77   a  are determined according to the wavelengths λ of red, green, and blue color filters, respectively such that the exit angles θ 4  coincide with each other. Thus, excellent color display of white can be achieved without causing the color components of reflected light to be separately observed from a viewpoint on a line oblique to the liquid crystal layer  85 . 
     Note that the combination and the layout of the projection-recess patterns shown in FIG. 9 may be replaced with those of a modification shown in FIG.  10 . This modification is applied to a case where the red, green, and blue filters are arranged in a matrix manner in place of a striped manner, as described in the second embodiment. According to this modification, even if the display colors of the pixel regions PX are different in each column, an effect similar to that of the fourth embodiment can be obtained. 
     Note that the present invention is not limited to the aforementioned embodiments and may be modified within the spirit or scope thereof. 
     For example, the light-transmitting portions  77   c  of the third embodiment may be formed flat by partially removing the projection-recess patterns of the organic insulation film  76  as shown in FIGS. 14 and 15. Further, the light-transmitting portions  77   c  of the fourth embodiment may be formed flat in the same manner as shown in FIG.  16 . 
     The organic insulation film  76  of the first to fourth embodiments may have a plurality of projection-recess patterns each of which is composed of a plurality of semi-spherical recesses disposed at random in the range of each pixel region PX and a projection disposed so as to surround these recesses. In this case, each pixel electrode  77  has a projection-recess pattern composed of the plurality of semi-spherical recesses, which are prescribed by the plurality of semi-spherical recesses of the organic insulation film  76  so as to be disposed at random in the range of a corresponding pixel region PX, and the projection, which is prescribed by the projection of the organic insulation film  76  so as to surround these recesses. Accordingly, in the projection-recess patterns of the respective pixel electrodes  77 , the plurality of recesses constitute main scattering portions to incident light, and the projection constitutes a sub-scattering portion to the incident light. 
     While the semiconductor layer  67  of each thin film transistor SW is composed of polysilicon, it may be composed of amorphous silicon. In addition to the above-mentioned, the present invention also applicable to a simple matrix reflection type or semi-transmission type liquid crystal display device which does not have pixel switching elements such as the thin film transistors SW. 
     Further, when it is sufficient only to make the interference of scattering light irregular, each projection-recess pattern may be allocated to at least one adjacent pixel region PX, specifically, to at least one adjacent pixel electrode  77  under the condition that the projection-recess pattern of each type is separated from another of the same type in at least one of the row and column directions of the pixel regions. Further, three types of projection-recess pattern selected from four types of projection-recess pattern may be combined and arranged in place of all the types of projection-recess patterns being combined. 
     Additional advantages and modifications will readily occur to those skilled in the art. Therefore, the invention in its broader aspects is not limited to the specific details and representative embodiments shown and described herein. Accordingly, various modifications may be made without departing from the spirit or scope of the general inventive concept as defined by the appended claims and their equivalents.