Propagation properties of vector Mathieu-Gauss beams |
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Authors: | A Chafiq |
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Institution: | Laboratoire de Physique Nucléaire, Atomique et Moléculaire(LPNAM), Département de Physique, Université Choua?¨b Doukkali, Faculté des Sciences, B.P. 20, 24000 El Jadida, Morocco |
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Abstract: | The vector Helmholtz-Gauss (vHzG) beam is known as a general family of localized vector beam solutions of the Maxwell equations in the paraxial limit and the vector Mathieu-Gauss beam constitutes its version in elliptic cylindrical coordinates system. In this work, starting from the expansion of the scalar Mathieu-Gauss beam in term of Bessel-Gauss beams, we give a general expression of vector Mathieu-Gauss beams in cylindrical coordinates. Within the frame work of the Collins diffraction integral formula we derive the analytical expressions of transverse vector Mathieu-Gauss beams through an axisymmetric ABCD optical system. Some numerical calculations are performed to illustrate the propagation of the vector Mathieu-Gauss beam in free space and through a simple lens system. The results are analyzed and discussed. |
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Keywords: | Vector Mathieu-Gauss beams Bessel-Gauss beams Mathieu beams Collins formula |
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