Focus shaping of linearly polarized Lorentz beam with sine-azimuthal variation wavefront

Focal shaping plays an important role in many optical focusing systems. In this paper, the focusing properties of linearly polarized Lorentz beam with sine-azimuthal variation wavefront were investigated. Simulation results show that the focal pattern can be altered considerably by the beam parameters and the phase parameter that indicates the phase change frequency on increasing azimuthal angle. And some novel focus shape may appear, including multiple-peak focal pattern, wheel focal pattern. And some optical gradient force distributions were also given to show that the focusing properties of this kind of Lorentz beams may be used to construct tunable optical traps, which may pave the way for application of laser diode in tweezers technique.