Nonparaxial propagation of rotating Cosh-Gaussian beams

Starting from the inhomogeneous Helmholtz equation, we obtain the exact rotating Cosh-Gaussian vector potential solution oriented along the propagation axis (i.e., the z axis). The electric and the magnetic fields are both expressed in terms of rotating Cosh-Gaussian beams (RCGBs) that are rigorous solutions to Maxwell’s equations. The paraxial and the nonparaxial RCGBs have an inherent rotating property in that the angular velocity decreases with increasing the propagation distance. The evolution of the Poynting vector of the RCGBs is analyzed as they propagate in free space.