Ray chaos and two‐dimensional wave fields

1996 ◽  
Vol 100 (4) ◽  
pp. 2698-2698
Author(s):  
Yoh‐ichi Fujisaka ◽  
Mikio Tohyama ◽  
Akira Sugimura
Keyword(s):  
Two Dimensional ◽  
Wave Fields ◽  
Ray Chaos ◽  
Dimensional Wave

Analysis of the Statistical Features of Two-Dimensional Wave Fields by Using Stochastic Simulations of Linear and Nonlinear Sea States

2008 ◽  
Author(s):  
Jose C. Nieto-Borge ◽  
German Rodri´guez-Rodri´guez ◽  
Jose L. A´lvarez-Pe´rez ◽  
Francisco Lo´pez-Ferreras
Keyword(s):  
Statistical Properties ◽  
Stochastic Simulations ◽  
Two Dimensional ◽  
Statistical Features ◽  
Extreme Wave ◽  
Sea State ◽  
Wave Fields ◽  
Linear And Nonlinear ◽  
Dimensional Wave

This work uses stochastic simulations of linear and nonlinear two-dimensional wave fields to analyze some the statistical properties of the extreme wave crests for a given sea state. The studies carried out consider different spatial resolutions and extensions of the simulated sea state.

scholarly journals Analytical continuation of two-dimensional wave fields

2021 ◽  
Vol 477 (2245) ◽  
pp. 20200681
Author(s):  
Raphaël C. Assier ◽  
Andrey V. Shanin
Keyword(s):  
Scattering Problem ◽  
Basis Property ◽  
Finite Basis ◽  
Analytical Continuation ◽  
Two Dimensional ◽  
Reflection Method ◽  
Wave Fields ◽  
Finite Basis Property ◽  
Branched Surfaces ◽  
Dimensional Wave

Wave fields obeying the two-dimensional Helmholtz equation on branched surfaces (Sommerfeld surfaces) are studied. Such surfaces appear naturally as a result of applying the reflection method to diffraction problems with straight scatterers bearing ideal boundary conditions. This is for example the case for the classical canonical problems of diffraction by a half-line or a segment. In the present work, it is shown that such wave fields admit an analytical continuation into the domain of two complex coordinates. The branch sets of such continuation are given and studied in detail. For a generic scattering problem, it is shown that the set of all branches of the multi-valued analytical continuation of the field has a finite basis. Each basis function is expressed explicitly as a Green’s integral along so-called double-eight contours. The finite basis property is important in the context of coordinate equations, introduced and used by the authors previously, as illustrated in this article for the particular case of diffraction by a segment.

Representation of two-dimensional wave fields by multidimensional signals

2006 ◽  
Vol 86 (6) ◽  
pp. 1341-1351 ◽  
Author(s):  
Rudolf Rabenstein ◽  
Peter Steffen ◽  
Sascha Spors
Keyword(s):  
Two Dimensional ◽  
Wave Fields ◽  
Multidimensional Signals ◽  
Dimensional Wave

Diffraction of a pulse by a resistive half-plane. I. Normal incidence

1960 ◽  
Vol 255 (1283) ◽  
pp. 538-549 ◽  
Keyword(s):  
Time Dependence ◽  
Half Plane ◽  
Wave Diffraction ◽  
Diffraction Problem ◽  
Normal Incidence ◽  
Step Function ◽  
Two Dimensional ◽  
Dynamic Similarity ◽  
Function Time ◽  
Dimensional Wave

The two-dimensional wave diffraction problem, acoustic or electromagnetic, in which a pulse of step-function time dependence is diffracted by a resistive half-plane is solved by assuming dynamic similarity in the solution.

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