Optical transport characteristics with different axicon models were studied systematically based on the diffractive and interferential theory and geometry optics. The characteristics of traditional axicon, kinoform-axicon, elliptical axicon and gradient-axicon were simulated and analyzed respectively. Based on the simulation analysis results, propagation-invariant beams with long non-diffracting distance was generated by kinoform-axicon; beams oblique incidence were also converted to non-diffracting beams by elliptical axicon; and bottle beams with much more extensive application can be obtained directly by gradient-axicon.