MCIVER, M. and MCIVER, P., 1990. Second-order wave diffraction by a submerged circular-cylinder. Journal of Fluid Mechanics, 219, pp.519-529.
Expressions are derived for the amplitudes of the second-harmonic waves generated
when a uniform wave train is normally incident upon a two-dimensional body,
submerged in water of illfinite depth. These amplitudes are given in terms of integrals
over the free surface of products of first-order quantities. For a submerged, circular
cylinder, it is shown analytically that there is no second-order reflected wave at any
frequency. This extends the classical result that there is no reflection a t first-order for