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30 April 2019 Energy backflow in in a tightly focused high-order cylindrical vector beam
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In this work, the tight focusing of high-order cylindrical vector beams was investigated. Our analysis relies upon the Richard-Wolf equations, which have been extensively utilized when studying tightly focused laser beams with due regard for the vector properties of light fields. The FDTD method implemented in FullWave software was used to verify the results obtained with the Richards-Wolf integrals. It was shown that in the focus, there are areas with the direction of the Poynting vector opposite to the direction of propagation of the beam and the negative values are comparable in absolute value with positive values. If the order of the beam is equal to two, then the region with negative values is located in the center of the focal spot. In contrast to previous papers, where the inverse energy flow was propagated along a spiral, in this work we investigate a non-vortex inverse flow with a laminar propagation of light.
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Sergey S. Stafeev, Victor V. Kotlyar, and Anton G. Nalimov "Energy backflow in in a tightly focused high-order cylindrical vector beam", Proc. SPIE 11025, Metamaterials XII, 1102518 (30 April 2019);

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