Iterative blind deconvolution algorithm applied to phase retrieval

The iterative blind deconvolution algorithm proposed by Ayers and Dainty [Opt. Lett. 13,547 (1988)] and improved on by Davey et al. [Opt. Commun. 69,353 (1989)] is applied to the problem of phase retrieval, which is a special case of the blind deconvolution problem. A close relationship between this algorithm and the error-reduction version of the iterative Fourier-transform phase-retrieval algorithm is shown analytically. The performance of the blind deconvolution algorithm is compared with the error-reduction and hybrid input-output versions of the iterative Fourier-transform algorithm by reconstruction experiments on real-valued, nonnegative images with and without noise.