Far field structural characteristics of cosh-Gaussian beam

By means of the theorem of the vectorial structure of electromagnetic beams and the method of stationary phase, the analytical vectorial structure of cosh-Gaussian (ChG) beam in the far field is presented. The light intensity distributions of a ChG beam and its vectorial structure are investigated in the far field. In addition, the influence of the parameters associated with the cosh term on the light intensity distributions of the whole beam and its structure are also analyzed. The analytical formulae obtained here are applicable not only to the non-paraxial case, but also to the paraxial case. The physical picture of ChG beam in the far field is well depicted from the vectorial structure.