By using the Richards-Wolf vector dif fraction theory,the focusing properties of a radially polarized sinh-Gaussian b eam through a high numerical aperture (NA) with a diffra ctive optical element (DOE) are investigated in this paper.The phase of the incoming radially polarized sinh-Gaussian beam is spatially modulated by a diffractive optical element (DOE).Numerical calculations are performed to analyze the influence of parameters on the tight focusing properties.Then the intensity distribution of radially polarized sinh- Gaussian beam after being focused by a high numerical aperture with a diffractive optical element (DOE) is studied.W e find that a three-dimensional optical chain along optical axis can be obtaine d near the focus by spatially modulating the phase of incoming beam,and the particles,whose refractive index is lower than t he ambient,could simultaneously be trapped by use of focused radially polarized sinh-Gaussian beams.Moreover,an optical needle can be generated by appropriately adjusting the correlated parameter of t he incident beam.The effects of correlated parameters of the incident b eam and the maximal angle of the high numerical-aperture objective are investigated.These properties may have quite important applicat ions in atom-optical experiment,such as optical trapping,material processing an d atom switches.