Continuous domain vertical alignment liquid crystal display

A continuous domain vertical alignment liquid crystal display, comprising:

• a first substrate and a second substrate, and liquid crystal molecules interposed therebetween, and
• first alignment-controlling means and second alignment-controlling means disposed at insides of the first substrate and the second substrate respectively, a maximum width of each first alignment-controlling means being less than 10 microns, and a maximum width of each second alignment-controlling means being in the range from 5˜7.5 microns;
• wherein the first alignment-controlling means and the second alignment-controlling means cooperate to assist the formation of a continuum of multiple domains of orientation of the liquid crystal molecules when the continuous domain vertical alignment liquid crystal display is in an on state;
• the first and second alignment-controlling means are first and second ridge-shaped protrusions, respectively;
• and
• each of the first protrusions is curved along a length thereof, and each of the second protrusions are is curved along a length thereof, and the curvature of each of the second protrusions corresponds to the curvature of a nearest one of the first protrusions;
• wherein a path defining the shape of each of the first and second protrusions satisfies the following equation:
• x=A sin(π*y/nL), (0≦y≦L, n is a natural number),
• wherein x and y are Cartesian coordinates of any point along the path, ‘A’ is a constant number being the interval between each adjacent first protrusion and second protrusion, and ‘L’ is the length of the first protrusion or the second protrusion along the Y axis.