25 June 2002 Optical vortices: creation, annihilation, and modeling
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The purpose of this investigation is the study of the process of the optical vortices pair arising from the nonzero intensity minimum. We propose and analyze a local polynomial model of optical vortex pair creation. The optical vortices arise around zero points of intensity, which lie on the zero-crossing lines of real and imaginary parts of wave field on real-plane. The appearance of the optical vortices is an indication of transition of wave into a new more complex state. Numerous theoretical and experimental papers are devoted to the investigation of such objects; the structure of isolated vortex and its statistical properties are studied there usually. The coordinates of real-plane zero points are located in the recovery problems of optical wave fields. However, the location of real-plane points is impossible for experimental data because of discretization and quantization of signals. Therefore an analytical model is necessary to study the creation and annihilation of the optical vortex pair and other spatial points at wave propagation.
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Vladimir P. Lukin, Vladimir P. Lukin, Victor A. Sennikov, Victor A. Sennikov, Valeri A. Tartakovski, Valeri A. Tartakovski, } "Optical vortices: creation, annihilation, and modeling", Proc. SPIE 4724, Laser Weapons Technology III, (25 June 2002); doi: 10.1117/12.472365; https://doi.org/10.1117/12.472365

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