%0 Journal Article %A Piquero Sanz, Gemma María %A Mejías Arias, Pedro Miguel %A Martínez Herrero, María Rosario %T Generalized ABCD matrix of thin pure-phase transmittances: Application to thick spherically-aberrated lenses %D 1997 %@ 0030-4026 %U https://hdl.handle.net/20.500.14352/58848 %X The behaviour of thin pure phase transmittances is represented by means of a generalized matrix, M, which can be handled as the ABCD-matrices associated with ordinary first-order optical systems. This formalism enables the application of generalized ABCD propagation formulae to cascaded optical systems containing pure phase transmittances. Matrix M is applied to thin and thick spherically aberrated lenses. In addition, the beam quality parameter of an incident Gaussian beam at the output plane of such lenses is investigated. %~