Twisted complex-variable-function Gaussian model beams with special correlations

Abstract We introduce a new class of twisted complex-variable-function Gaussian model (TCVFGM) beams and provide the propagating cross-spectral density (CSD) of optical beams with various correlations. Sufficient conditions are provided to guarantee that the CSD function is physically genuine. We designed an experimental setup to synthesize TCVFGM beams endowed with various correlations using complex transmittance screens. The experimental results of a sinc-correlated TCVFGM source are presented, indicating that the spectral density is present as an array and rotates during propagation. These findings may be useful in beam shaping and particle manipulation.