The three dimensional distribution of focused vector Mathieu-Gauss beams (vMG) is studied in
the vicinity of the geometrical focus of an unapertured thin lens. We adopt two different
intensity based criteria for defining the actual focus. Our analysis confirms the existence of
a focal shift towards the lens for this type of beams. The dependence of the focal shift on the
different parameters of the beams is discussed in detail. Beams with different states of
polarization are studied as well, and it is shown that the focal shift is independent of the
© 2008 Optical Society of America
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