The S-FFT calculation of Collins formula and its application in digital holography

In this paper the single two dimensional fast Fourier transform (S-FFT) calculation of Collins' formula is studied based on Nyquist sampling theorem. The conditions that sampling theorem should follow are deduced, and the inverse calculation of Collins' formula is also applied to the reconstruction of light wave field of object in digital holography. The investigation indicates that inverse calculation of Collins' formula can be used conveniently in digital holography study on paraxial optical system. The sampling conditions derived from this paper are helpful to the design of digital holographic optical system