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Theoretical solution for wave diffraction by wedge or corner with arbitrary reflection characteristics

Theoretical solution for wave diffraction by wedge or corner with arbitrary reflection characteristics

作     者:Hong Guangwen(Received December 20 1990 acepted June 15, 1991) 

出 版 物:《Acta Oceanologica Sinica》 (海洋学报(英文版))

年 卷 期:1992年第11卷第2期

页      面:287-303页

核心收录:

学科分类:07[理学] 0707[理学-海洋科学] 

主  题:wave Theoretical solution for wave diffraction by wedge or corner with arbitrary reflection characteristics 

摘      要:An exact analytic solution for wave diffraction by wedge or corner with arbitrary angle (rπ) and reflection coefficients (R0 and Rr) is presented in this paper. It is expressed in two forms-series and integral representations, corresponding recurrence relation and asymptotic expressions are also derived. The solution is simplified for some special cases of rπ. For Rr= R0,r= 1/N and Rr≠R0,r = 1/2N, the solution can be reduced to linear superpositions of incident and partially reflected waves, hence a nonlinear solution of forth order for this problem can be obtained by using the author s theory of nonlinear interaction among gravity surface waves. The given solution is related to inhomogeneous Robin boundary conditions, which include the Neumann boundary conditions usually accepted in wave diffraction theory.

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