Propagation properties of vector Mathieu-Gauss beams

摘要: Abstract The vector Helmholtz–Gauss (vHzG) beam is known as a general family of localized solutions the Maxwell equations in paraxial limit and Mathieu–Gauss constitutes its version elliptic cylindrical coordinates system. In this work, starting from expansion scalar term Bessel–Gauss beams, we give expression beams coordinates. Within frame work Collins diffraction integral formula derive analytical expressions transverse through an axisymmetric ABCD optical Some numerical calculations are performed to illustrate propagation free space simple lens results analyzed discussed.