propagation of twodimensional HermiteGaussian beams THROUGH a misaligned annular aperture followed by a misaligned paraxial ABCD optical system
*L. Ezzariy, H. Nebdi, A. Belafhal Laboratory of Nuclear, Atomic and Molecular Physics P. B 20, 24000 * Corresponding author. Email: belafhal@gmail.com Received: 02 December 2013; revised version accepted:19 January 2014
Abstract Based on the generalized HuygensFresnel diffraction integral and by expanding a hardedged aperture function into a finite sum of complex Gaussian functions, an approximate analytical expression for description of transformation properties of twodimensional HermiteGaussian beam by a misaligned annular aperture followed by a misaligned paraxial ABCD optical system is developed. The propagation of the HermiteGaussian beam through an unapertured misaligned optical system or this latter with a misaligned circular aperture or a misaligned black screen cases are deduced here as particular cases of the misaligned annular apertured misaligned optical system which can be regarded as the general case. So, other particular cases concerning the HermiteGaussian beam and the pure Gaussian beam traveling an unapertured aligned optical system or coupled with aligned annular aperture, circular aperture or black screen can be derived. Some numerical simulations are also performed in this work.
Keywords: 2D HermiteGaussian beam; Generalized Collins diffraction integral; ABCD optical system; Annular Aperture; Misalignment.

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