Shaping the focal field of radially/azimuthally polarized phase vortex with Zernike polynomials

The focal field properties of radially/azimuthally polarized Zernike polynomials are studied. A method to design the pupil field in order to shape the focal field of radially or azimuthally polarized phase vortex is introduced. With this method, we are able to obtain a pupil field to achieve a longitudinally polarized hollow spot with a depth of focus up to 12Y and 0.28Y lateral resolution (FWHM) for an optical system with numerical aperture 0.99; a pupil field to generate eight focal spots along the optical axis is also obtained with this method.Accepted Author ManuscriptImPhys/Optic