As a new optical element, Linear axicon is introduced. The on-axis intensity distribution of the linear axicon is obtained through a computer simulation on the basis of a scalar diffraction theory. Using a trapezoid apodization, the diffraction effect is reduced. In the linear axicon illuminated by a Gaussian beam, we showed that a longitudinal distribution has a uniform region and a transverse distribution is a first kind Bessel function, whose form is especially independent of a longitudinal distance. In addition, the overview of a tele-axicon and a holographic axilens is introduced.
Prior to dealing with a axicon, superresolution(FWHM(full width half maximum) is less than the Rayleigh criteria) is obtain by using a square top function as initial impulse function.