  The Raman scattering with local optical excitation from the Majorana edge
modes of Kitaev spin liquids and topological superconductors is studied
theoretically. Although the effective one-dimensional model is common between
these two cases, the coupling to the electromagnetic field is different. It is
found that the Raman spectrum at low energy scales with $\omega^3$ in Kitaev
spin liquids while it shows the gap in topological superconductors. This is in
sharp contrast to the infrared absorption, where the spectrum shows the gap in
Kitaev spin liquids, while it behaves as $\sim \omega^2$ in topological
superconductors. This indicates that the electrodynamics of Majorana edge modes
depends on their higher-dimensional origins. The realistic estimate of the
Raman scattering intensity is given for $\alpha$-RuCl$_3$ as the candidate for
Kitaev spin liquid.
