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

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