Diffraction properties of Bessel-Gauss beams by Fresnel zone plate

The intensity distribution in the vicinity of the focus of circular Fresnel zone plate formed by Bessel-Gauss beam is studied. Dark hollow beams are obtained near focus under the illumination of high order Bessel-Gauss beam, the width and the length of central hollow depends on the order of the beam and the number of plate zones. These beams with special intensity distribution in the field of laser processing and trapping particles have potential application value.