Patent ID: 8310727

Claim:
A method to generate random and density controllable dot patterns on an optical device, and the method being executed by a computer, and including the following steps: A. dividing a 2D domain into multiple cell units; B. determining dot density in each cell; C. creating at random initial location of dots in each cell; D. solving the force operation cut radius of the dot by employing the following equation; r cut = l ⁢ ∑ k m ⁢ r _ k 2 D · a c · m E. setting up a residual force; F. solving the force control parameter in the cell by employing the following equation; s c = - ln ⁢ ⁢ f re  r ij  G. performing the force operation for the cell by employing the following equation; f ⁡ ( r ij ) = { r ij  r ij  · ⅇ - ( r ij · s c ) , r ij ≤ r cut 0 , r ij > r cut H. making the dots in the cell to achieve balanced positions after repeated operation; I. completing generating a dot pattern within a 2D domain; and J. transferring the dot pattern to the optical device by a transfer printing equipment; wherein, r ij is a vector representing relative distance among dots; S c is the force control parameter for each dot; r cut is the force operation cut radius of the dot; l is ratio factor; m is total number of dots in a cell; r k is the radius of each dot; f re is residual force; and a c is ratio parameter.