Abstract
Starting from the vectorial Rayleigh-Sommerfeld integral formulae, the analytical propagation equations of vectorial flat-topped vortex hollow beam in free space are derived. The far-field and paraxial approximation can be treated as special cases of general results. According to the obtained analytical expressions, the nonparaxial propagation, far field propagation and paraxial propagation properties of flat-topped vortex hollow beam are illustrated and analyzed by using numerical examples.
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