The focusing of a radially polarized beam without annular apodization ora phase filter at the entrance pupil of the objective results in a wide focus and low purity of the longitudinally polarized component.However,the presence of a physical annular apodization or phase filter makes some applications more difficult or even impossible.We propose a radially polarized and amplitude-modulated annular multi-Gaussian beam mode.Numerical simulation shows that it can be focused into a sharper focal spot of 0.125λ~2 without additional apodizations or filters.The beam quality describing the purity of longitudinally polarized component is up to 86%. The focusing of a radially polarized beam without annular apodization ora phase filter at the entrance pupil of the objective results in a wide focus and low purity of the longitudinally oriented polarized component. Host, the presence of a physical annular apodization or phase filter makes some applications more Difficult or even impossible. We propose a radially polarized and amplitude-modulated annular multi-Gaussian beam mode. Numerical simulation shows that it can be focused onto a sharper focal spot of 0.125λ ~ 2 without additional apodizations or filters. The beam quality describing the the purity of longitudinally polarized component is up to 86%.