Influences of sinusoidal component on typical phase masks used to realize wave-front coding technique

The key of wave-front coding lies in the design of suitable phase masks. In our recent research, by combining a sinusoidal component with the cubic phase mask, a new mask called cubic sinusoidal phase mask, abbreviated as CSPM is proposed and can enhance the DOF (depth of field) extension capability of cubic mask. However, that work needs further expansion. First, only the cubic phase mask is selected to demonstrate the effectiveness of sinusoidal component in improving the performance of wave-front coded imaging system, but this is not enough; second, several constraints, which are adopted to simplify the CSPM optimization, should be eliminated. In this paper, the researches have been expanded based on the two points mentioned above and the sinusoidal component is indeed useful for improving DOF extension capability of existing phase masks.