Phase retrieval algorithms in the Fresnel domain

I. Raveh*, E. Marom, D. Mendlovic

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review


There are several known iterative algorithms, which reconstruct the phase of an unknown wavefront from two intensity measurements. These algorithms are based on a Fourier connection between the input and output plane. An algorithm based on a Fourier connection must contain additional optical setup for the implementation and in addition needs more longitudinal space. Since a wavefront is a function that obeys the wave equation, it is only natural to implement the iterative algorithms using free space propagation relation between two intensity planes. We propose to make phase retrieval calculations between any two arbitrary planes interrelated through the Fresnel domain. Since any two arbitrary parallel planes are interconnected by the Fresnel domain, no additional setup is needed. The calculation of the free space propagation is based on the angular spectrum approach, which is calculated using the fast Fourier transform (FFT). This approach can be applied with any of the algorithms that rely on a Fourier connection between the input and the output planes.

Original languageEnglish
Pages (from-to)172-173
Number of pages2
JournalProceedings of SPIE - The International Society for Optical Engineering
StatePublished - 1999
EventProceedings of the 1999 18th Congress of the International Commission for Optics (ICO XVIII): Optics for the Next Millennium - San Francisco, CA, USA
Duration: 2 Aug 19996 Aug 1999


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