Patent ID: 7443589

Claim:
Optics for beam shaping, comprising: a micro lens array in which a plurality of polygonal micro lenses are disposed in a surface, each polygonal microlens having corners and a lens rim having a length, whereby geometric arrangement of individual polygonal micro lenses and individual polygonal micro lens diameters follow a distribution pattern, wherein a number of the comers and the length of the lens rims of each of the polygonal micro lenses correspond to a Point distribution (P) and each of the individual polygonal micro lenses have a point which is a Voronoi Point, that defines a Voronoi Region (VR(p)), which is defined by the following equation for a Voronoi Lens: z ⁡ ( r ) = c · r 2 1 + 1 - ( 1 + k ) · c 2 · r 2 + a 4 · r 4 + a 6 · r 6 + … where r is a distance between a vertex of the Voronoi lens and a point p of the lens and 0≦r≦dmax c=1/R and R is a radius of curvature of the Voronoi lens z is a distance based on the vertex, where 0≦z≦z(dmax); and k is a conical constant; and a n are aspheric coefficients.