Nonparaxial Propagation of Complex Variable Function Cosh-Gaussian Beams

摘要

By applying the superposition of beams, we obtain a group of virtual sources for a complex variable function (CVF) Cosh-Gaussian wave. We also derive a closed-form expression for the CVF-Cosh-Gaussian wave that in the appropriate limit yielding the paraxial CVF-Cosh-Gaussian beam. From the spectral representation of the CVF-Cosh-Gaussian waves, we derive the jth-order nonparaxial corrections for the corresponding paraxial CVF-Cosh-Gaussian beam analytically. The angular velocity of the nonparaxial CVF-Cosh-Gaussian beams decreases with the transmission distance increasing.