Method of designing a matched light guide for a stereoscopic 3D liquid crystal display

A method of designing a backlight light guide for an autostereoscopic 3D display comprising:

• a) specifying a backlight having a light guide defined by a first side and a second side opposite the first side, and having a first surface extending between the first and second sides and a second surface opposite the first surface and extending between the first and second sides, a distance between the first surface and the second surface defining a light guide thickness, wherein the first surface substantially re-directs light with a plurality of prism features having a prism angle and the second surface substantially transmits light, the second surface having a predetermined width value and a predetermined length value, and a first light source positioned to transmit light into the first side and a second light source positioned to transmit light into the second side;
• b) selecting a plurality of design parameter value pairs, where each parameter value pairs includes a light guide thickness value and a prism angle value, and each design parameter value pair is different from each other;
• c) executing a ray tracing optical model on the light guide for each parameter value pair to calculate output data for each parameter value pair, the output data comprising a single pass light extraction efficiency value, an average minimum light angle value emitted from the second surface, and a maximum flux/minimum flux value emitted from the second surface;
• and
• d) selecting a parameter value pair based on the output data to manufacture the light guide for an autostereoscopic 3D display, wherein the selected parameter value pair provides an average minimum light angle value emitted from the second surface of greater than 60 degrees, maximum flux to minimum flux ratio emitted from the second surface is in a range from 5:1 to 1:1, and a maximized single pass light extraction efficiency value.