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Propagation of laser beam parameters through pure phase transmittances Piquero Sanz, Gemma María Mejías Arias, Pedro Miguel Martínez Herrero, María Rosario © 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. 2023-06-20T18:52:57Z 2023-06-20T18:52:57Z 1996-08-15 journal article 0030-4018 10.1016/0030-4018(96)00223-4 https://hdl.handle.net/20.500.14352/58849 http://dx.doi.org/10.1016/0030-4018(96)00223-4 http://www.sciencedirect.com eng TAP93-211 EU-1269 open access Elsevier Science BV