Second-order wave diffraction by a submerged circular-cylinder
2013-02-25T15:17:21Z (GMT)
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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
this body.