Phase reconstruction from intensity measurements in linear systems

Martin J. Bastiaans and Kurt Bernardo Wolf

The phase of a signal at a plane is reconstructed from the intensity profiles at two close parallel screens connected by a small abcd canonical transform; this applies to propagation along harmonic and repulsive fibers, and in free media. We analyze the relationship between the local spatial frequency (the signal phase derivative) and the derivative of the squared modulus of the signal under a one-parameter canonical transform with respect to the parameter. We thus generalize to all linear systems the results which have been obtained separately for Fresnel and fractional Fourier transforms.

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