Abstract
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.
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Zhu, J., Tang, H., Su, Q. et al. Lissajous-like patterns generated by multi-cosine Gaussian-correlated Schell-model beams. Appl. Phys. B 123, 269 (2017). https://doi.org/10.1007/s00340-017-6846-0
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DOI: https://doi.org/10.1007/s00340-017-6846-0