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Outer frequency spectrum of sea waves and its equilibrium range
Authors:Wu Kejian  Song Jinbao  Zhao Dongliang  Sun Fu
Affiliation:1.Institute of Physical Oceanography, Ocean University of Qingdao, Qingdao 266003, China2.Laboratory of Physical Oceanography, Ocean University of Qingdao, Qingdao 266003, China
Abstract:The present paper defines the generalized apparent energy distribution and derives the analytical form of the so-called generalized outer frequency spectrum or nth order apparent frequency spectrum. It is shown that the generalized outer frequency spectrum has an equilibrium range with an exponent -(n+3) and the upper limit of the exponent is -3. The results of this paper are universal and are applicable for any other wave phenomena if the ray theory of waves and the Longuet-Higgins' linear random wave model are exact enough for their description.
Keywords:Outer frequency spectrum  inner frequency spectrum  equilibrium
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