Multi-Gaussian Schell-model vortex beam. (English) Zbl 1331.81447
Summary: Multi-Gaussian Schell-model (MGSM) beam was introduced recently (S. Sahin and O. Korotkova [“Light sources generating far fields with tunable flat profiles”, Optical Lett. 37, No. 14, 2970–2972 (2012; doi:10.1364/OL.37.002970)] and O. Korotkova, S. Sahin and E. Shchepakina [“Multi-Gaussian Schell-model beams”, J. Opt. Soc. Amer. 29, No. 10, 2159–2164 (2012; doi:10.1364/JOSAA.29.002159)]). In this paper, multi-Gaussian Schell-model vortex (MGSMV) beam is introduced as a natural extension of MGSM beam. The explicit expression for the cross-spectral density of a MGSMV beam propagating through a stigmatic ABCD optical system is derived and the focusing properties of a MGSMV beam are studied in detail. It is found that we can shape the focused beam profile by varying the initial beam parameters, which will be useful in material thermal processing and particle trapping.
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