Optical pupil filter is one of the basic elements for optical superresolution. So it is important to design and manufacture the optical pupil filter. The amplitude optical pupil filters with sine functions were designed. This pupil filter can realize different types of superresolution by changing the periods of sine function or the transmittance of the central point. By numerical calculations, It is noticed that 0.5～2 sine periods is suitable for superresolution. When the number of periods is smaller than 0.5, there is no superresolution effect. And the superresolution effect is worse as the number bigger than 2. In numerical calculation it is also noticed that the Strehl ratio is unchanged with the central point transmittance when the number of periods is integer and its value is 0.25. The numerical results show the typical properties of amplitude optical pupil filters with sine functions and it will help manufacture it.