Rodrigo Martín-Romo, José AugustoDuadi, HamootalAlieva Krasheninnikova, TatianaZalevsky, Zeev2023-06-202023-06-202010-01-181094-408710.1364/OE.18.001510https://hdl.handle.net/20.500.14352/44421© 2010 Optical Society of America. The financial support of the Spanish Ministry of Science and Innovation under project TEC2008-04105 and the Santander-Complutense project PR-34/07-15914 are acknowledged. José A. Rodrigo gratefully thanks a “Juan de la Cierva” grant.The gyrator transform is a useful tool for optical information processing applications. In this work we propose a multi-stage phase retrieval approach based on this operation as well as on the well-known Gerchberg-Saxton algorithm. It results in an iterative algorithm able to retrieve the phase information using several measurements of the gyrator transform power spectrum. The viability and performance of the proposed algorithm is demonstrated by means of several numerical simulations and experimental results.engMulti-stage phase retrieval algorithm based upon the gyrator transformjournal articlehttp://dx.doi.org/10.1364/OE.18.001510http://www.opticsinfobase.org/open access535Wavefront reconstructionSpace-telescopeOptical-systemObjectsFourierÓptica (Física)2209.19 Óptica Física