Lissajous-like patterns generated by multi-cosine Gaussian-correlated Schell-model beams
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.
- Publication:
-
Applied Physics B: Lasers and Optics
- Pub Date:
- November 2017
- DOI:
- 10.1007/s00340-017-6846-0
- Bibcode:
- 2017ApPhB.123..269Z