  We consider the scattering of gravitational waves off a Schwarzschild black
hole in $f(R)$ gravity. We show that the reflection and transmission
coefficients for tensor waves are the same as in General Relativity. While the
scalar waves, which are not present in General Relativity, demonstrate
interesting features. The equation that governs these scalar waves can be
reduced to a Volterra integral equation. Analysis of this equation shows that a
larger fraction of these waves are reflected compared to what one obtains for
tensors. This may provide a novel observational signature for fourth order
gravity.
