Propagation of Bessel-modulated Gaussian beams

through a misaligned first-order optical system


A. Belafhal*, M. Yaalou, S. Hennani

Laboratoire de Physique Nucléaire, Atomique et Moléculaire,

Département de Physique, Faculté des Sciences, Université Chouaïb Doukkali

B.P. 20, El Jadida 24000, Morocco

* Corresponding author. E-mail:

Received: 20 July 2011; revised version accepted: 29 August 2011



     Based on the extended Collins formula, an analytical expression, for Bessel-modulated Gaussian (QBG) beams passing through a misaligned first-order optical system, is derived. Results show that the beam shape of the output beam remains unchanged and similar to that of the input even in the considered misaligned system. It is also indicated that the beam centre is related to the misaligned parameters and is derived from the optical axis. As an example, the propagation of zeroth-order QBG beams propagating through a misaligned thin lens is investigated numerically. Results in this paper may provide potential applications in combination technology of laser beams.


Keywords: Bessel-modulated Gaussian beam; Misaligned first-order optical system; Collins formula.

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