Backward flow of energy for an optical vortex with arbitrary integer topological charge
Kotlyar V.V., Kovalev A.A., Nalimov A.G.


Image Processing Systems Institute оf RAS – Branch of the FSRC “Crystallography and Photonics” RAS, Samara, Russia,
Samara National Research University, Samara, Russia


We analyze the sharp focusing of an arbitrary optical vortex with the integer topological charge m and circular polarization in an aplanatic optical system. Explicit formulas to describe all projections of the electric and magnetic fields near the focal spot are derived. Expressions for the near-focus intensity (energy density) and energy flow (projections of the Pointing vector) are also derived. The expressions derived suggest that for a left-hand circularly polarized optical vortex with m > 2, the on-axis backward flow is equal to zero, growing in the absolute value as a power 2(m – 2) of the radial coordinate. These relations also show that upon the negative propagation, the energy flow rotates around the optical axis.

backward energy flow, optical vortex, rotating beams, Umov-Poynting vector.

Kotlyar VV, Kovalev AA, Nalimov AG. Backward flow of energy for an optical vortex with arbitrary integer topological charge. Computer Optics 2018; 42 (3): 408-413. DOI: 10.18287/2412-6179-2018-42-3-408-413.


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