Nonlinear coupling of five waves in non-uniform streaming plasma

1980 ◽  
Vol 24 (1) ◽  
pp. 55-63 ◽  
Author(s):  
G. C. Pramanik
Keyword(s):  
Nonlinear Interaction ◽  
Wave Interaction ◽  
Electron Plasma ◽  
Stream Velocity ◽  
Coupled Mode Theory ◽  
Nonlinear Coupling ◽  
Transverse Waves ◽  
Mode Theory ◽  
Coupled Mode ◽  
Interaction Phenomena

In this paper, nonlinear interaction of five monochromatic waves in a hot nonuniform streaming electron plasma has been presented. The method of formulation of the problem is based on the coupled mode theory. The wave–wave interaction phenomena have been analysed in the case of three longitudinal and two transverse waves. Furthermore, the presence of a stream velocity and its uniform gradient offers a generalization of the nonlinear interaction of an earlier work.

Nonlinear coupling of three waves in non-uniform plasma

1979 ◽  
Vol 22 (2) ◽  
pp. 353-359 ◽  
Author(s):  
G. C. Pramanik
Keyword(s):  
Nonlinear Interaction ◽  
Electron Plasma ◽  
Coupled Mode Theory ◽  
Nonlinear Coupling ◽  
Transverse Waves ◽  
Longitudinal Waves ◽  
Long Wavelength ◽  
Coupled Mode ◽  
Limiting Case ◽  
Uniform Plasma

This paper considers nonlinear interaction between three monochromatic waves in a hot non-uniform electron plasma. With the aid of coupled mode theory the interaction of three longitudinal waves is studied and a specific case of the interaction of two longitudinal waves and one perpendicular wave is derived for the limiting case of long wavelength. Furthermore, the non-uniformity involves generalization of the theory of the interaction of two transverse waves and one longitudinal wave of a previous contribution.

scholarly journals Chiral Optical Tamm States: Temporal Coupled-Mode Theory

Crystals ◽  
2017 ◽  
Vol 7 (4) ◽  
pp. 113 ◽  
Author(s):  
Ivan V. Timofeev ◽  
Pavel S. Pankin ◽  
Stepan Ya. Vetrov ◽  
Vasily G. Arkhipkin ◽  
Wei Lee ◽  
...  
Keyword(s):  
Coupled Mode Theory ◽  
Mode Theory ◽  
Coupled Mode

A coupled-mode theory for periodic piezoelectric composites

1989 ◽  
Vol 36 (1) ◽  
pp. 50-56 ◽  
Author(s):  
F. Craciun ◽  
L. Sorba ◽  
E. Molinari ◽  
M. Pappalardo
Keyword(s):  
Coupled Mode Theory ◽  
Piezoelectric Composites ◽  
Mode Theory ◽  
Coupled Mode

A Coupled-Mode Technique for the Run-Up of Non-Breaking Dispersive Waves on Plane Beaches

2006 ◽  
Author(s):  
K. A. Belibassakis ◽  
G. A. Athanassoulis
Keyword(s):  
Shallow Water ◽  
Water Waves ◽  
Wave Equations ◽  
Neumann Boundary ◽  
Breaking Waves ◽  
Numerical Results ◽  
Coupled Mode Theory ◽  
Mode Theory ◽  
Coupled Mode ◽  
Run Up

A coupled-mode model is developed and applied to the transformation and run-up of dispersive water waves on plane beaches. The present work is based on the consistent coupled-mode theory for the propagation of water waves in variable bathymetry regions, developed by Athanassoulis & Belibassakis (1999) and extended to 3D by Belibassakis et al (2001), which is suitably modified to apply to a uniform plane beach. The key feature of the coupled-mode theory is a complete modal-type expansion of the wave potential, containing both propagating and evanescent modes, being able to consistently satisfy the Neumann boundary condition on the sloping bottom. Thus, the present approach extends previous works based on the modified mild-slope equation in conjunction with analytical solution of the linearised shallow water equations, see, e.g., Massel & Pelinovsky (2001). Numerical results concerning non-breaking waves on plane beaches are presented and compared with exact analytical solutions; see, e.g., Wehausen & Laitone (1960, Sec. 18). Also, numerical results are presented concerning the run-up of non-breaking solitary waves on plane beaches and compared with the ones obtained by the solution of the shallow-water wave equations, Synolakis (1987), Li & Raichlen (2002), and experimental data, Synolakis (1987).

Coupled-mode theory for general free-space resonant scattering of waves

2007 ◽  
Vol 75 (5) ◽  
Author(s):  
Rafif E. Hamam ◽  
Aristeidis Karalis ◽  
J. D. Joannopoulos ◽  
Marin Soljačić
Keyword(s):  
Free Space ◽  
Resonant Scattering ◽  
Coupled Mode Theory ◽  
Mode Theory ◽  
Coupled Mode
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