Paraxial Propagation of vector Mathieu-Gauss beams


A. Chafiq, Z. Hricha*, A. Belafhal

Laboratoire de Physique Nucléaire, Atomique et Moléculaire,

Département de Physique, Université Chouaïb Doukkali, Faculté des Sciences,

 B. P 20, 24000 El Jadida, Morocco

* Corresponding author.

Received: 03 April 2006; revised version accepted: 20 September 2006



     Based on the expansion of the scalar Mathieu-Gauss beam in terms of Bessel-Gauss beams we give a general expression of vector Mathieu-Gauss (vMG) beams in cylindrical coordinates. Furthermore, the analytical expression of transverse vector Mathieu-Gauss beams through any axisymmetric optical ABCD system is derived by using the Collins diffraction formula. Particularly, the propagation of the vector Mathieu-Gauss beam in free space and through a simple lens system are illustrated numerically and discussed.


Keywords: Vector Mathieu-Gauss beams; Bessel-Gauss beams, Mathieu beams; Collins formula.

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