An improved LB pseudo-potential multi-relaxation multiphase model is used to study flow characteristics of single/dual droplets impacting liquid film. Development of liquid film impacted by a single droplet under different gas-liquid density ratio was investigated. It was found that with decrease of density ratio, top of coronal crown started bending inward, and bottom radius is significantly reduced. Then, double droplets impinging on liquid film was studied with large density ratio. It shows that a central jet was generated as double droplets impacting on liquid film. Increase of horizontal spacing between droplets delaied the appearance of central jet and reduced height of the initial central jet. With the increase of Re, height of the central jet increased obviously.

Considering side group structures of poly(organosilanes),unified basic formula are derived with method of configurational-conformational statistics in rotational-isomeric-state model.Characteristic ratios of mean-square radius of gyration for atactic poly(silastyrene)(PSS),polysilapropylene(PSP),poly(methylphenylsiloxane)(PMPS),poly(dimethylsilmethylene)(PDMSM) and poly(dimethylsilylene)(PDMS) chains are obtained.They are 1.45,0.63,0.97,0.69 and 1.99,and ratios of mean-square dipole moment are 2.49,0.99 0.61,0.48 and 0.27,respectively.It is found that effect of temperature,conformational energy,polymerization degree and tacticity of chains on ratios of PSS and PMPS is quite obvious.However,dependences of basic quantity of PSP and PDMSM on side groups,conformational energy and temperature are inappreciable.Dipolar large side groups in analysis flexibility and polarity of poly(organosilanes) is significant.

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.