Beginning with a beam coherence polarization (BCP) matrix, we obtain an analytical intensity expression for radially polarized ultrashort pulsed laser beams that pass through an apertureless aplanatic lens. We also investigate the intensity distribution of radially polarized beams in the vicinity of the focus.
The focal shift of these beams is studied in detail. The focal shift depends strongly on
that coincides with π times the Fresnel number.
© 2007 Optical Society of America
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