Extension of depth of field in integral imaging using amplitude and phase modulation of the pupil function

We analyze the extension of depth of field using both amplitude and phase modulation of the pupil function. In particular, we discuss the advantages and disadvantages of each approach and establish the range of applicability of each method based on the range of spatial frequencies of interest in the imaging system. Our result serves as a starting point for choosing the right form of modulation for extension of depth of field.