The Effect of a Sinusoidal Wavefront on the Transfer Function of a Circular Aperture

Abstract
The influence of a radially symmetric sinusoidal aberration function on the behavior of the transfer function is studied. It is shown that the main effect of the sinusoidal wavefront is manifest in the low frequency region of the transfer function with a rapid drop in contrast. The transfer function is computed via the sampling theorem for some typical situations. Finally, it is shown that when the wavefront is crinkly there is no coupling between the superposed wavefront and the wavefront owing to the natural aberrations of the optical system.

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