摘要

A class of random stationary, scalar sources producing far fields with Lissajous-like intensity profiles is introduced by modeling the source spectral degree of coherence (SDOC) as a multi-cosine Gaussian-correlated Schell-model (McGCSM) function. Analytical expressions for the cross-spectral density generated by such sources on propagation through a stigmatic ABCD optical system are derived. The far-field spectral density distributions in free space are illustrated numerically. It is shown that the McGCSM beam can exhibit Lissajous-like patterns during propagation when the beam parameter M is sufficiently large. The patterns can be controlled to demonstrate various geometries by directly adjusting the properties of its SDOC in the source plane. Moreover, we find that the far-field spectral density distribution can also display an optical lattice structure when the beam parameter M is relatively small.