  We study the optical effect of chiral topological superconductors in two
dimensions. The linear optical response from chiral Bogoliubov edge modes in
clean superconductors has in-gap resonances, which is originated from the
transitions within the edge particle-hole pair bands. Interestingly, the number
of resonance peaks is determined by the Bogoliubov-de Gennes Chern number of
topological superconductors. Such features in optical absorption offer a way to
distinguish topological superconductors with different Chern number. We further
demonstrate that linear optical effect could probe different topological phases
in quantum anomalous Hall insulator-superconductor junction devices. This
finding provides an applicable method to detect chiral Bogoliubov edge states
and is distinguishable from collective modes in superconductors and possible
trivial explanations.
