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arXiv · 2601.21704

Reverse Energy Flows in Two-Dimensional Photonic Crystals and Analogies with Vortex Formation and Analogous Flows in Hydrodynamics

Andrey Pryamikov
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Abstract

This paper examines the connection between photonic band-gap formation in two types of two-dimensional photonic crystals and the emergence of reverse electromagnetic energy flows generated by linearly polarized plane waves incident on a photonic-crystal slab. We show that these reverse energy flows, observed in both transmitted and reflected fields, originate from vortex structures in the Poynting vector. The resulting energy-flow patterns exhibit striking analogies to vortex formation in fluid motion past obstacles. The geometry and dynamics of the Poynting-vector vortices determine whether the incident electromagnetic energy is impeded, leading to the formation of photonic band gaps, or instead guided through the structure, enabling transmission.

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Andrey Pryamikov. 2026-01-29. Reverse Energy Flows in Two-Dimensional Photonic Crystals and Analogies with Vortex Formation and Analogous Flows in Hydrodynamics. https://arxiv.org/abs/2601.21704

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