Observation of Sommerfeld Precursors on a Fluid Surface

Physical Review Letters

Volumn 91, Issue 6, 2003, Pages

  Falcon, Éric ^a   Laroche, Claude ^a   Fauve, Stéphan ^b  

^a UNIVERSITÉ DE LYON   (France)

^b ECOLE NORMALE SUPÉRIEURE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; DIELECTRIC PROPERTIES; ELECTROMAGNETIC WAVES; ELECTROMAGNETISM; FOURIER TRANSFORMS; INTEGRAL EQUATIONS; MERCURY (METAL); SURFACE WAVES;

ASYMPTOTIC ANALYSIS; BRILLOUIN PRECURSOR; FLUID SURFACE; SOMMERFELD PRECURSORS;

SURFACES;

EID: 0141564732     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.91.064502     Document Type: Article

References (29)

1. L. Brillouin, Wave Propagation And Group Velocity (Academic Press, Inc., New York, 1960)
2. notably including the English translation of A. Sommerfeld, Ann. Phys. (Leipzig)ANPYA2 44, 177 (1914);
3. L. Brillouin, Ann. Phys. (Leipzig)ANPYA2 44, 203 (1914).
4. P. Pleshko and I. Palócz, Phys. Rev. Lett.10.1103/PhysRevLett.22.1201 22, 1201 (1969);
5. D.D. Stancil, J. Appl. Phys.10.1063/1.330929 53, 2658 (1982).
6. J. Aaviksoo, J. Kuhl, and K. Ploog, Phys. Rev. A 44, R5353 (1991).
7. R. Albanese, J. Penn, and R. Medina, J. Opt. Soc. Am. AJOAOD6 6, 1441–1446 (1989).
8. A. Hanyga, Pure Appl. Geophys.10.1007/s00024-002-8707-x 159, 1749 (2002).
9. M. Mojahedi, E. Schamiloglu, F. Hegeler, and K.J. Malloy, Phys. Rev. EPLEEE810.1103/PhysRevE.62.5758 62, 5758 (2000);
10. A.P. Barbero, H.E. Hernandez-Figueroa, and E. Recami, Phys. Rev. EPLEEE810.1103/PhysRevE.62.8628 62, 8628 (2000);
11. S. Chu and S. Wong, Phys. Rev. Lett.10.1103/PhysRevLett.48.738 48, 738 (1982);
12. D. Mugnai, A. Ranfagni, and R. Ruggeri, Phys. Rev. Lett.10.1103/PhysRevLett.84.4830 84, 4830 (2000);
13. L.J. Wang, A. Kuzmich, and A. Dogariu, Nature (London)10.1038/35018520 406, 277 (2000).
14. E. Varoquaux, G.A. Williams, and O. Avenel, Phys. Rev. B10.1103/PhysRevB.34.7617 34, 7617 (1986), and references therein.
15. I. Kececioglu, M.E. McClurken, R.D. Kamm, and A.H. Shapiro, J. Fluid Mech.JFLSA7 109, 367 (1981);
16. P. Flaud, D. Geiger, and C. Oddou, J. Phys. (Paris) 47, 773 (1986);
17. T.B. Moodie and J.B. Haddow, J. Acoust. Soc. Am. 67, 446 (1980).
18. J.E. Prins, Trans., Am. Geophys. Union 39, 865 (1958) for experiments;
19. H.C. Kranzer and J.B. Keller, J. Appl. Phys. 30, 398 (1959);
20. H. Lamb, Hydrodynamics (Dover, New York, 1945), for Cauchy-Poisson problem of water waves generated by sudden disturbances of the free surface.
21. M.S. Smith and J.B. Shepherd, Natural Hazards 11, 75 (1994).
22. Handbook of Chemistry and Physics, edited by D.R. Lide (CRC Press, Boca Raton, Florida, 1999), 80th ed.
23. E. Falcon, C. Laroche, and S. Fauve, Phys. Rev. Lett.10.1103/PhysRevLett.89.204501 89, 204501 (2002).
24. G.B. Whitham, Linear and Nonlinear Wave (John Wiley & Sons, Inc., New York, 1974);
25. J.D. Jackson, Classical Electrodynamics (John Wiley & Sons, New York, 1998), 3rd ed.
26. H. Jeffreys and B. Jeffreys, Methods of Mathematical Physics (Cambridge University Press, Cambridge, 1956), 3rd ed., pp.�498–518;
27. T.H. Havelock, The Propagation of Disturbances in Dispersive Media (Cambridge University Press, Cambridge, 1914);
28. J.J. Stoker, Water Waves (Interscience Publishers, Inc., New York, 1957);
29. V.I. Karpman, Nonlinear Waves in Dispersive Media (Pergamon Press, New York, 1975).