Shadows and quasinormal modes of the Bardeen black hole in cloud of strings

We investigate the black hole solution of Einstein’s gravity coupled with non-linear electrodynamics (NED) source in the background of a cloud of strings. We analyze the horizon structure and optical features of the black hole. The photon radius and shadows are obtained as a function of black hole parameters. We observe that the size of the shadow image is bigger than its horizon radius and photon sphere. We also study the quasi-normal modes using WKB formula for this black hole. The dependence of shadow radius and quasi-normal modes on black hole parameters reflects that they are mimicker to each other.