Parametric Bragg resonances in waves on a shallow fluid over a periodically drilled bottom

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 63, Issue 1, 2001, Pages

  Torres, M ^a   Adrados, J P ^a   Montero de Espinosa, F R ^b   Garcia Pablos D ^b   Fayos, J ^c  

^a INSTITUTO DE FÍSICA APLICADA   (Spain)

^b CSIC   (Spain)

^c INSTITUTO DE QUÍMICA FÍSICA ROCASOLANO   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

FOURIER OPTICS; MATHEMATICAL MODELS; RESONANCE; SURFACE WAVES;

BRAGG RESONANCES; FOURIER WAVE COMPONENTS; SHALLOW FLUIDS;

DRILLING FLUIDS;

EID: 0343474324     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.011204     Document Type: Article

References (29)

1. H. Lamb, Hydrodynamics (Cambridge University Press, Cambridge, 1995), p. 291.
2. J. Miles, J. Fluid Mech. 152, 379 (1985).
3. A. G. Davies and A. D. Heathershaw, J. Fluid Mech. 144, 419 (1984);
4. J. Fluid Mech.C. C. Mei 152, 315 (1985);
5. J. Fluid Mech.J. T. Kirby, 162, 171 (1986);
6. J. Fluid Mech.C. C. Mei, T. Hara, and M. Naciri, 186, 147 (1988);
7. J. Fluid Mech.M. Naciri and C. C. Mei, 192, 51 (1988).
8. P. G. Chamberlain and D. Porter, J. Fluid Mech. 291, 393 (1995);
9. J. Fluid Mech.J. W. Miles and P. G. Chamberlain, 361, 175 (1998);
10. J. Fluid Mech.J. Miles, 376, 53 (1998);
11. Y. Agnon, Phys. Rev. E 59, R1319 (1999).
12. E. Guazzelli, V. Rey, and M. Belzons, J. Fluid Mech. 245, 301 (1992).
13. Y. Liu and D. K. P. Yue, J. Fluid Mech. 356, 297 (1998).
14. T. Chou, Phys. Rev. Lett. 79, 4802 (1997).
15. T. Chou, J. Fluid Mech. 369, 333 (1998).
16. M. Torres, J. P. Adrados, and F. R. Montero de Espinosa, Nature (London) 398, 114 (1999).
17. Y. Lu, Y. Zhu, Y. Chen, S. Zhu, N. Ming, and Y. Feng, Science 284, 1822 (1999).
18. T. Opatrný, B. A. Malomed, and G. Kurizki, Phys. Rev. E 60, 6137 (1999);
19. V. N. Astratov, Phys. Rev. B 60, R16 255 (1999).
20. M. Torres, F. R. Montero de Espinosa, D. García-Pablos, and N. García, Phys. Rev. Lett. 82, 3054 (1999);
21. Phys. Rev. Lett.D. García-Pablos, M. Sigalas, F. R. Montero de Espinosa, M. Torres, M. Kafesaki, and N. García, 84, 4349 (2000).
22. The liquid used is Fluorinert FC-75 of the 3M Company, a fully fluorinated organic liquid with low kinematic viscosity (Formula presented) lower than that of the water, very low surface tension (Formula presented) very high density (Formula presented) and refraction index (Formula presented)
23. S. Douady, J. Fluid Mech. 221, 383 (1990);
24. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).
25. M. Torres, G. Pastor, I. Jiménez, and F. Montero de Espinosa, Chaos, Solitons Fractals 5, 2089 (1995).
26. L. Brillouin, Wave Propagation in Periodic Structures (McGraw-Hill, New York, 1946), Chap. VI.
27. C. Kittel, Introduction to Solid State Physics (Wiley, New York, 1976), Chap. 2, 7, and 9;
28. N. W. Ashcroft and N. D. Mermin, Solid State Physics (Saunders, Philadelphia, 1976), Chap. 5, 6, 8, and 9.
29. M. M. Sigalas, J. Appl. Phys. 84, 3026 (1998).