Based on an Input-Output algorithm,a precise design method of DOE is proposed adapting fast Fourier transform algorithm.Numerical simulation indicates that this method improves beam shaping effectively.With same diffractive efficiency,interpolation iterative arithmetic reduces PV by 14% and RMS by 4%.The algorithm provides better initial phases of DOE for simulating annealing optimization than primitive Input-Output algorithm.

The constrained global optimization(CGO) algorithm is used to optimally design one demension diffrative optical element(DOE).The adopted CGO method is described in detail.The results are also given.

DV-X_α method,is applied for calculating the Electronic structure and Magnetic properties of YFe₁₂,which is an ideal structure of ThMn₁₂.The result shows that this method has satisfactory advantages on the theoretic of magnetic material.