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A theory is developed for the loss in wave energy as a result of currents induced in a permeable sea bottom by wave action. This loss in energy is reflected as a reduction in the wave height as the waves move shoreward. It is shown by numerical examples that this reduction may be on the order of ten per cent on very flat beaches for wave periods and bottom materials commonly found in the ocean.
J. A. Putnam (Wed,) studied this question.