Propagation of laser beam parameters through pure phase transmittances

Piquero Sanz, Gemma MaríaMejías Arias, Pedro MiguelMartínez Herrero, Rosario2023-06-202023-06-201996-08-15[I] S. Lavi, R. Prochaska and E. Keren, Appl. Optics 27 ( 1988) 3696. [2] A.E. Siegman, Proc. SPIE 1224 ( 1990) 2. [3] M.J. Bastiaans, Optik 88 (1991) 163. [4J J. Sema, R. Martínez-Herrero and PM. Mejías, J. Opt. Soc. Am. A 8 (1991) 1094. [5] H. Weber, Opt. Quantum. Electron. 24 (1992) 1027. [6] R. Martínez-Hetrero and PM. Mejías, Optics Comm. 95 (1993) 18. [7] R. Martínez-Herrero, PM. Mejías and G. Piquero, Optics Lett. 17 (1992) 1650. [8] L. Mandel, E. Wolf, J. Opt. Sot. Am. 66 ( 1976) 529. [9] J. Sema, PM. Mejías and R. Martínez-Herrero, Opt. Quantum Electron. 24 ( 1992) 873. [10] R. Martínez-Herrero, G. Piquero and PM. Mejías, Opt. Quantum Electron. 27 (1995) 173. [11] A.E. Siegman, Appl. Optics 23 (1993) 5893. [12] R. Martínez-Herrero. PM. Mejías and H. Weber, Opt. Quantum Electron. 25 ( 1993) 423.0030-401810.1016/0030-4018(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.engPropagation of laser beam parameters through pure phase transmittancesjournal articlehttp://dx.doi.org/10.1016/0030-4018(96)00223-4http://www.sciencedirect.comopen access535Quality ImprovementOptical-SystemsMomentsÓptica (Física)2209.19 Óptica Física