Piquero Sanz, Gemma MaríaMejías Arias, Pedro MiguelMartínez Herrero, María Rosario2023-06-202023-06-201996-08-150030-401810.1016/0030-4018(96)00223-4https://hdl.handle.net/20.500.14352/58849© 1996 Elsevier Science B.V. The research work leading to this paper has been supported by the Comisión Interministerial de Ciencia y Tecnología of Spain, under Project No. TAP93-211, within the framework of EU-1269 Project.The propagation laws of the intensity moments of a laser beam through ABCD optical systems are generalized to include pure phase transmittances. This is done by representing the behaviour of such transmittances by means of a 4 x 4 matrix, hi, which can be handled, to some extent, as the ABCD-matrices associated with ordinary first-order optical systems. This formalism enables the application of ABCD propagation formulae to cascaded optical systems containing pure phase transmittances. Matrix M is used to determine the intensity moments at the output of two special quartic phase transmittances, namely, a circular spherically aberrated lens and a pair of orthogonal cylindrical (also aberrated) lenses.engjournal articlehttp://dx.doi.org/10.1016/0030-4018(96)00223-4http://www.sciencedirect.comopen access535Quality ImprovementOptical-SystemsMomentsÓptica (Física)2209.19 Óptica Física