propagation of two-dimensional Hermite-Gaussian beams

THROUGH a misaligned annular aperture

followed by a misaligned paraxial ABCD optical system

 

*L. Ez-zariy, H. Nebdi, A. Belafhal

Laboratory of Nuclear, Atomic and Molecular Physics
Department of Physics, Faculty of Sciences, Choua´b Doukkali University,

P. B 20, 24000 El Jadida, Morocco

* Corresponding author. E-mail: belafhal@gmail.com

Received: 02 December 2013; revised version accepted:19 January 2014

 

Abstract

     Based on the generalized Huygens-Fresnel diffraction integral and by expanding a hard-edged aperture function into a finite sum of complex Gaussian functions, an approximate analytical expression for description of transformation properties of two-dimensional Hermite-Gaussian beam by a misaligned annular aperture followed by a misaligned paraxial ABCD optical system is developed. The propagation of the Hermite-Gaussian 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 Hermite-Gaussian 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: 2-D Hermite-Gaussian beam; Generalized Collins diffraction integral; ABCD optical system; Annular Aperture; Misalignment.


 

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