LAUSR

Abstract A 4f optical system is applied to modulate the statistical properties of a vector partially coherent beam. We find that the intensity distribution and the degree of coherence of an incident radially polarized Gaussian Schell-model (RPGSM) beam can be shaped simultaneously by a 4f optical system with an amplitude filter in the frequency plane. By controlling the parameters of the amplitude filter and the coherence length of the incident beam precisely, the shaped beam can display periodic spatial coherence in the source plane and form intensity lattices with radially polarization in the far field. Our method provides a novel way for manipulating the statistical properties of a vector partially coherent beam, and is useful for particle trapping.