Abstract
In this paper, focusing patterns are theoretically investigated by Richards-Wolf's integral in a high numerical aperture lens illuminated by a polarized beam. The doughnut beam is introduced to achieve high resolution focusing spot. The focusing spot is as small as half of wavelength. Meanwhile, the optical needle with super-resolution lateral size is realized by using a complex amplitude filter. These research results can be used to achieve particle acceleration, optical trapping, imaging and so on.
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