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We address the issue of nonlinear modes in a two-dimensional waveguide array,spatially distributed in the Lieb lattice geometry, and modeled by a saturablenonlinear Schr\"odinger equation. In particular, we analyze the existence andstability of vortex-type solutions finding localized patterns with symmetricand asymmetric profiles, ranging from topological charge S=1 to S=3. By takinginto account the presence of anisotropy, which is inherent to experimentalrealization of waveguide arrays, we identify different stability behaviorsaccording to their topological charge. Our findings might give insight onexperimental feasibility to observe these kind of vortex states.

Localized vortex beams in anisotropic Lieb lattices