In this report, the aberrations up to the seventh order of several axial-symmetrical optical surfaces are presented. The comparing of aberration coefficients in several cases is discussed. A new kind of optical elements called 'inphasev optical elements (10E) is described. It is shown that the new optical elements can be achromatized for a large range of wave lengths. The IOE on a plane surface have fast convergence of their aberration terms. It is point out that IOE can be produced by photolithographic technologies which according to their optical properties makes them especially perspective.