Rodrigo Martín-Romo, José AugustoAlieva Krasheninnikova, TatianaCalvo Padilla, María Luisa2023-06-202023-06-202006-101084-752910.1364/JOSAA.23.002494https://hdl.handle.net/20.500.14352/51044© 2006 Optical Society of America. The Spanish Ministry of Education and Science is acknowledged for financial support (Ramon y Cajal grant, T. Alieva) and projects TIC 2002-01846 and TEC 2005-02180/MIC. The authors thank Martin Bastiaans for careful reading of the manuscript and helpful discussions.On the basis of a matrix formalism, we analyze the paraxial optical systems composed by generalized lenses and fixed free-space intervals, suitable for orthosymplectic transformations in phase space. Flexible configurations to perform the attractive operations for optical information processing such as image rotation, separable fractional Fourier transformation, and twisting for different parameters are proposed.engjournal articlehttp://dx.doi.org/10.1364/JOSAA.23.002494http://www.opticsinfobase.org/open access535Fractional Fourier-TransformsImage RotationImplementationÓptica (Física)2209.19 Óptica Física