^This factor is due to the neglected constant in the amplitude ratio of the second-order to first-order terms in the Stokes' wave expansion. See Dingemans (1997), p. 179 & 182.
^Stokes, G. G. On the theory of oscillatory waves. Transactions of the Cambridge Philosophical Society. 1847, 8: 441–455. Reprinted in: Stokes, G. G. Mathematical and Physical Papers, Volume I. Cambridge University Press. 1880: 197–229.
Dingemans, M. W. Water wave propagation over uneven bottoms. Advanced Series on Ocean Engineering 13. Singapore: World Scientific. 1997. ISBN 981-02-0427-2. In 2 parts, 967 pages.
Svendsen, I. A. Introduction to nearshore hydrodynamics. Advanced Series on Ocean Engineering 24. Singapore: World Scientific. 2006. ISBN 981-256-142-0. 722 pages.
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