Propagation of the two-dimensional elegant Hermite-cosh-Gaussian beams in strongly nonlocal nonlinear media

In this paper, two-dimensional elegant Hermite-cosh-Gaussian beams are introduced and an analytical expression for the beam propagation through an optical ABCD system is derived by using Collins formula. By considering the transfer matrix of the strongly nonlocal nonlinear media, the propagation properties of a two-dimensional elegant Hermite-cosh-Gaussian beam through these media are investigated.