Zero Acceleration and Non‐Self‐Healing Airy Beam Propagation near a Black Hole

Abstract

In this paper, an analytical expression of Airy beams near a black hole is derived by general relativity concepts. This paper demonstrates the self‐acceleration and the self‐healing properties of Airy beams near a black hole with different Schwarzschild radii. It shows, during transmission, that the equivalent acceleration near a black hole decreases to a minimum negative value, then increases and eventually approaches zero. After propagating a certain distance, the trajectories of Airy beams approaching a black hole may no longer travel along parabolas, but rather almost straight lines due to the existence of the strong gravitational field. The shapes of the wave structure of Airy beams remain unvarying during the transmission, which indicates that the nondiffraction characteristic is still present. Moreover, the self‐healing property of Airy beams near a black hole gradually disappears with the increase of the strength of the gravitational field, because the energy flow to the major lobe is prevented by the gravitational field of the black hole. These intriguing features may open new prospects in the fields of nanophotonic optics, relativistic effects, transformation optics, and so on.