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Lissajous-like patterns generated by multi-cosine Gaussian-correlated Schell-model beams

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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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Authors and Affiliations

  1. College of Science, Guizhou Institute of Technology, Guiyang, 550003, People’s Republic of China

    Jie Zhu & Qin Su

  2. School of Physics and Electronics, Central South University, Changsha, 410083, People’s Republic of China

    Huiqin Tang & Kaicheng Zhu

Authors
  1. Jie Zhu
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  2. Huiqin Tang
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  3. Qin Su
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  4. Kaicheng Zhu
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Correspondence to Kaicheng Zhu.

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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

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