Energy streamlines in conditions of optical vortex formation

Valerii P. Aksenov; Igor A. Izmailov; Boris N. Poizner; Olga V. Tikhomirova

doi:10.1117/12.411939

29 December 2000 Energy streamlines in conditions of optical vortex formation

Valerii P. Aksenov, Igor A. Izmailov, Boris N. Poizner, Olga V. Tikhomirova

Proceedings Volume 4341, Seventh International Symposium on Atmospheric and Ocean Optics; (2000) https://doi.org/10.1117/12.411939
Event: 7th International Symposium on Atmospheric and Ocean Optics, 2000, Tomsk, Russian Federation

Abstract

Spatial dynamics of distortions of the of the laser beam wavefront under the conditions of forming and evolution of the optical vortices have been study, energy streamlines have been constructed, and regularities of appearing the wave-front dislocations have been revealed. The system of differential equations for the energy streamlines (rays) in the three- dimensional space derived based on the parabolic equation for the complex amplitude of the monochromatic wave field was solved by the Euler technique with an automatic step choice. An analysis of the structure of the Umov-Poynting vector field for the different longitudinal coordinates in combination with the solution of the equation system allowed the rays spatial dynamics to be investigated. It was established that the rays were focused in the vicinities of the points corresponding to the nodes of the Umov-Poynting vector field for the beam having first the smooth wavefront. Such an energy distribution in the space stimulated appearing the points with zero intensity in the plane transversal to the propagation direction, the pairs of optical vortices were born in these points (bifurcation 'nodes - focuses'). Rays trajectories gained the spiral form in the vicinities of arising dislocations. In the process of the beam propagation the vortices first diverged and then drew together and annihilated, the wave-front was transformed from the singular to the smooth one, the rays stopped to twist and then focused as far as the next branch point. The initial point configuration determined the further ray trajectories and vortex evolution.

Citation Download Citation

Valerii P. Aksenov, Igor A. Izmailov, Boris N. Poizner, and Olga V. Tikhomirova "Energy streamlines in conditions of optical vortex formation", Proc. SPIE 4341, Seventh International Symposium on Atmospheric and Ocean Optics, (29 December 2000); https://doi.org/10.1117/12.411939

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