Figure 2
Schematic representation of the lens and its local thickness. The functions xL(y, z), xR(y, z) describe the surface of the lens closer to the light source and the lens surface farther from the light source. For the parabolic biconcave lens xL(y,z) = max{ xC − (1/2R) (y2+z2) − (Wsm/2), xC-(W/2) }, xR(y, z) = min{xC + (1/2R)(y2+z2) + (Wsm/2), xC + (W/2)}, where R denotes the curvature radius of the lens, W is the maximum thickness of the lens and Wsm is the minimum thickness of the lens; xC is a position of the geometric center of the lens. |