Abstract

We introduce the paraxial group, the group of symmetries of the paraxial-wave equation and its action on paraxial beams. The transformations, elements of the group, are used to obtain closed-form expressions for the propagation of any paraxial beam through misaligned $ABCD$ optical systems. We prove that any paraxial beam is form-invariant under these transformations.

© 2008 Optical Society of America

Generalized Helmholtz-Gauss beam and its transformation by paraxial optical systems

Manuel Guizar-Sicairos and Julio C. Gutiérrez-Vega
Opt. Lett. 31(19) 2912-2914 (2006)

Degree of paraxiality for monochromatic light beams

Omar El Gawhary and Sergio Severini
Opt. Lett. 33(12) 1360-1362 (2008)

Propagation of generalized vector Helmholtz-Gauss beams through paraxial optical systems

Raul I. Hernandez-Aranda, Julio C. Gutiérrez-Vega, Manuel Guizar-Sicairos, and Miguel A. Bandres
Opt. Express 14(20) 8974-8988 (2006)

Dependence of the degree of paraxiality on field correlations

Omar El Gawhary and Sergio Severini
Opt. Lett. 33(16) 1866-1868 (2008)

Airy-Gauss beams and their transformation by paraxial optical systems

Miguel A. Bandres and Julio C. Gutiérrez-Vega
Opt. Express 15(25) 16719-16728 (2007)