The more attractive first-order optical systems such as a (fractional) Fourier transformer, a gyrator, and an image rotator  – used, among other applications, for optical information processing, including pattern recognition, encryption, and filtering; transversal mode conversion; and tomographic methods of coherence state estimation – correspond to different kinds of rotations in phase space. All such systems that produce phase-space rotations are described by an orthogonal ray transformation matrix.
|Title of host publication||ICO-21 Congress Proceedings 2008, 21th Congress of the International Commission for Optics, Optics for the 21st Century, Sydney, Australia|
|Place of Publication||Sydney|
|Publication status||Published - 2008|
Alieva, T., & Bastiaans, M. J. (2008). Invariants of second-order moments of optical beams under phase-space rotations. In ICO-21 Congress Proceedings 2008, 21th Congress of the International Commission for Optics, Optics for the 21st Century, Sydney, Australia (pp. 103-). Sydney.