We consider scattering of gravitational radiation incident axially on Kerr black holes. A Jeffreys-Wentzel-Kramers-Brillouin formulation applied to a combination of the Teukolsky-Press and Chandrasekhar-Detweiler formalisms allows the integration for relatively large frequencies |Mω|. Many interesting structures arise in the resultant cross sections. These include glories, dips in the cross section "due to" geometrical-optics orbits near the capture orbits, preferential polarization of the scattered wave, and very strong backward scattering when the conditions for superradiance hold.
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Handler et al. (1980) studied this question.
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