RT Journal Article T1 Propagation of laser beam parameters through pure phase transmittances A1 Piquero Sanz, Gemma María A1 Mejías Arias, Pedro Miguel A1 Martínez Herrero, Rosario AB 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. PB Elsevier Science BV SN 0030-4018 YR 1996 FD 1996-08-15 LK https://hdl.handle.net/20.500.14352/58849 UL https://hdl.handle.net/20.500.14352/58849 LA eng NO [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. NO © 1996 Elsevier Science B.V.The research work leading to this paper has been supported by the Comisión Interministerial de Cienciay Tecnología of Spain, under Project No. TAP93-211, within the framework of EU-1269 Project. NO Comisión Interministerial de Ciencia y Tecnología of Spain NO Unión Europea DS Docta Complutense RD 7 may 2024