Theoretical study on the self-healing property of cotangent phase modulated RAiGV

Due to its self-healing property, the Ring Airy Gaussian Vortex Beams (RAiGV) have potential applications in the fields of particle capture and handling, laser medical treatment, and super-resolution imaging. This paper proposes a cotangent phase modulated RAiGV, and carries out a numerical simulation study on its self-healing property. The results show that the beam will split into multiple lobes during the transmission process. Each lobe consists of a main lobe and multiple side lobes, and the lobes shrink, rotate and converge continuously; when one of the lobes is completely blocked or when blocking all the side lobes of the beam, the beam does not have the self-healing ability; when all the main lobes of the beam are blocked, blocking the innermost ring of the beam, or blocking all the outer rings of the beam, the beam has the self-healing ability. After a certain distance of transmission, the beam field is basically the same as the selffocusing beam field.