title: Propagation law for the generating function of Hermite-Gaussian-type modes in first-order optical systems.
abstract: Based on the common Hermite-Gaussian modes, a general class of orthonormal Hermite-Gaussian-type modes is introduced. Such modes can most easily be defined by means of their generating function. It is shown that these modes remain in their class of orthonormal Hermite-Gaussiantype modes, when they propagate through first-order optical systems. A propagation law for the generating function is formulated.
authors.forename: Martin
authors.initials: M
authors.lastname: Bastiaans
authors.forename: Tatiana
authors.initials: T
authors.lastname: Alieva