Singular wavefields and the phase retrieval problem

Mikhail Yu. Loktev; Vladimir G. Volostnikov

doi:10.1117/12.317707

3 August 1998 Singular wavefields and the phase retrieval problem

Mikhail Yu. Loktev, Vladimir G. Volostnikov

Proceedings Volume 3487, International Conference on Singular Optics; (1998) https://doi.org/10.1117/12.317707
Event: International Conference on Singular Optics, 1997, Partenit, Crimea, Ukraine

Abstract

It is known that one-dimensional phase problem in optics can be reduced to a search of zero positions of the analytic continuation of a light field complex amplitude. Usually this procedure is executed by means of numerical methods based on the measurement of the field intensity on several planes. In this work it is shown that the analytic continuation can be realized by optical way. Namely, two-dimensional Fourier transform with an additional astigmatic phase converts a one- dimensional object field into a singular wavefield. The field zeros are the same as that of the analytic continuation of one-dimensional Fourier transform of the initial field. Thus, it is possible to restore the object field through one measurement. Results of computer simulations are presented.

Citation Download Citation

Mikhail Yu. Loktev and Vladimir G. Volostnikov "Singular wavefields and the phase retrieval problem", Proc. SPIE 3487, International Conference on Singular Optics, (3 August 1998); https://doi.org/10.1117/12.317707

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