Propagation of off-axial Hermite-cosine-Gaussian beams through an apertured and misaligned ABCD optical system

By introducing the hard aperture function into a finite sum of complex Gaussian functions, an approximate analytical expression for the one-dimensional off-axial Hermite-cosine-Gaussian beams passing through an apertured and misaligned paraxially ABCD optical system has been derived. As special cases, the corresponding closed-forms for the off-axial or non-off-axial Hermite-cosine-Gaussian beams passing through apertured or unapertured and misaligned or aligned paraxially ABCD optical systems have also been given. The results provide more convenient for studying their propagation and transformation than the usual way by using diffraction integral directly, which can be straightforward to the two-dimensional case. Some numerical examples are also illustrated. (C) 2003 Elsevier B.V. All rights reserved.