Serna Galán, JulioNemes, George2023-06-202023-06-201993-11-010146-959210.1364/OL.18.001774https://hdl.handle.net/20.500.14352/58604© 1993 The Optical Society of America. J. Serna acknowledges a grant from the Spanish Programa Nacional de Formacion de Personal Investigator and financial support from the Comisión Interministerial de Ciencia y Tecnología of Spain under Project ROB 90-539. He thanks P. M. Mejías and R. Martínez-Herrero for their help and valuable suggestions. G. Nemeş acknowledges his sponsorship by International Research and Exchanges Board, the National Science Foundation (grant ECS- 92-09081), and the U.S. Air Force Office of Scientific Research (contract F49620-92-J-0229). He thanks A. E. Siegman for the excellent working conditions in his laboratory.We show how to decouple a coherent Gaussian beam having general astigmatism (to transform it into a beam having only simple astigmatism, or orthogonal symmetry) by using a single rotated thin cylindrical lens. The resulting coherent orthogonal Gaussian beam may be further transformed into a stigmatic (rotationally symmetric) Gaussian beam by an orthogonal telescopic magnifier. The initial beam parameters must be known; we suggest a procedure for their measurement.engjournal articlehttp://www.opticsinfobase.org/ol/abstract.cfm?id=11987http://www.opticsinfobase.orgopen access535Wigner Distribution Function1st-Order Optical-Systems2nd-Order MomentsAbcd LawLightÓptica (Física)2209.19 Óptica Física