Fuzzy control iterative algorithm for the design of diffractive optical elements for laser beam shaping

Abstract

This paper proposes the Fuzzy Control Iterative Algorithm (FCIA) for the design of diffractive optical elements for laser beam shaping. Firstly, to improve the poor uniformity of output laser beam obtained by the G-S algorithm, we put forward the Profile Smoothing Algorithm (PSA), which is effective in improving beam uniformity but slack in controlling the Mean Square Error. Then we put forward the Fuzzy Control Iterative Algorithm, which combines PSA and G-S algorithm by fuzzy control theory. Taking advantages of GS and PSA, FCIA can decrease both Mean Square Error and nonuniformity of output beam simultaneously. Computer-designed result shows that an extremely ideal output beam is derived by using FCIA. The Mean Square Error is 0.75%. The nonuniformity is 0.46%. And the energy converting efficiency is up to 94.91%. This paper affords a novel algorithm for the design of diffractive optical elements for laser beam shaping.