Reflector, method of manufacturing the same, and display device using the reflector

A reflector for a liquid crystal display device having a total-reflective or a semi-reflective reflecting surface, wherein said reflecting surface comprises a plurality of fine circular-arc concave curves arranged side-by-side when viewed in cross section, and wherein:

• the maximum tilt angle of each of said circular-arc concave curves is set substantially to one half of an effective viewing angle;
• the pitch of said circular-arc concave curves is 50 μm or less;
• the surface of the reflector has n irregularities;
• the height hn of each of the irregularities is given by the formula hn=r(1−cos 2n) and the pitch Pn of each of the fine circular-arc curves is given by the formula Pn=2r(sin 2n), wherein 2n is the tilt angle of a tangent to one of the fine circular-arc concave curves and r is the radius of the fine circular-arc concave curve of which 2n is the tangent;
• the tilt angle θn is in the range of a predetermined angle;
• when a successive predetermined number of said circular-arc concave curves are taken as one set, different pitches of said circular-arc concave curves are included in said one set, and several units of said circular-arc concave curves are repeatedly formed, said one set of circular-arc concave curves being one unit;
• and
• transparent upper and lower substrates are held by a predetermined gap formed therebetween, a liquid crystal material is sealed in the gap, the reflector is provided on the lower substrate in the gap, and the height hn of the concave surface is one-fifth of the size of the gap.