  Majorana fermions exist on the boundaries of two-dimensional topological
superconductors (TSCs) as charge-neutral quasi-particles. The neutrality makes
the detection of such states challenging from both experimental and theoretical
points of view. Current methods largely rely on transport measurements in which
Majorana fermions manifest themselves by inducing electron-pair tunneling at
the lead-contacting point. Here we show that chiral Majorana fermions in TSCs
generate {enhanced} local optical response. The features of local optical
conductivity distinguish them not only from trivial superconductors or
insulators but also from normal fermion edge states such as those in quantum
Hall systems. Our results provide a new applicable method to detect dispersive
Majorana fermions and may lead to a novel direction of this research field.
