Light guide plate having a pseudo two-dimensional pattern

A light guide plate comprising:

• an input surface for receiving light from a plurality of discrete light sources, an output surface for emitting light, and a bottom surface opposing to the output surface,
• wherein at least one of the output surface and the bottom surface has a micro-pattern, the micro-pattern comprising micro-lenses distributed in a first direction y-axis that is parallel to the length direction and in a second direction x-axis that is parallel to the width direction;
• and
• wherein the micro-lenses have an area density function DI(y) that varies only with y in a first region, an area density function DII(y) that varies only with y in a second region, and an area density function DII(x, y) that varies with both x and y in a third region, area density functions DI(y), DII(y) having minimum values DImin, DIImin at a first same y value and maximum values DImax, DIImax at a second same y value, respectively;
• wherein
• 1.08≧DIImin/DImin≧1.02,
• DIImax/DImax≧1.20, and
• DII(y)>DIII(x, y)>DI(y) for a given x.