Focused tsunami waves

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 463, Issue 2087, 2007, Pages 3055-3071

  Berry, M V ^a  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

Caustics; Diffraction; Ocean; Water waves

Indexed keywords

EID: 36348981701     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2007.0051     Document Type: Article

References (26)

1. Arnold, V. I. 1986 Catastrophe theory. Berlin, Germany: Springer.
2. Berry, M. V. 2005 Tsunami asymptotics. New J. Phys. 7, 129. (doi:10.1088/1367-2630/7/1/129)
3. Berry, M. V. & Upstill, C. 1980 Catastrophe optics: morphologies of caustics and their diffraction patterns. Prog. Optics 18, 257-346.
4. Bhaskaran, P. K., Dube, S. K., Murty, T. S., Gangopadhyay, A., Chaudhuri, A. & Rao, A. D. 2005 Tsunami travel time charts for the Indian Ocean. Kharagpur, India: Indian Institute of Technology.
5. Born, M. & Wolf, E. 2005 Principles of optics. London, UK: Pergamon.
6. Dobrokhotov, S. Y., Sekerzh-Zenkovich, S. Y., Tirozzi, B. & Volkov, B. 2006a Explicit asymptotics for tsunami waves in framework of the piston model. Russ. J. Earth Sci. 8, 1-12. (doi:10.2205/ 2006ES000215)
7. Dobrokhotov, S. Y., Sekerzh-Zenkovich, S. Y., Tirozzi, B. & Tudorovskiy, T. Y. 2006b The description of tsunami waves propagation based on the Maslov canonical operator. Dokl. Math. 74, 592-596. (doi:10.1134/S1064562406040326)
8. Goodman, J. W. 1985 Statistical optics. New York, NY: Wiley-Interscience.
9. Jeffreys, H. & Jeffreys, B. S. 1956 Methods of mathematical physics. Cambridge, UK: University Press.
10. Kanoglu, U. & Synolakis, C. E. 1998 Long wave runup on piecewise linear topographies. J. Fluid Mech. 374, 1-28. (doi:10.1017/S0022112098002468)
11. Keller, J. B. 1961 Tsunamis - water waves produced by earthquakes. In Tsunami hydrodynamics, pp. 154-166, Monograph, no. 24, University of Hawaii, Hawaii: IUGG.
12. Keller, J. B. & Keller, H. B. 1964 Water-wave run-up on a beach. ONR research report NONR-3828(00), pp. 1-40. Washington, DC: Department of the Navy.
13. Lamb, S. H. 1932 Hydrodynamics. Cambridge, UK: Cambridge University Press.
14. Lynett, P. J., Borrero, J. C., Liu, P. L.-F. & Synolakis, C. E. 2003 Field survey and numerical simulations: a review of the 1998 Papua New Guinea tsunami. Pure Appl. Geophys. 160, 2119-2146. (doi:10.1007/s00024- 003-2422-0)
15. Marcuse, D. 1972 Light transmission optics. New York, NY: Van Nostrand.
16. Nirupama, N., Nistor, I., Ponnambalam, K. & Murty, T. S. 2006 Tsunami travel time atlas for the Atlantic Ocean. Mar. Geodesy 29, 179-199. (doi:10.1080/01490410600939231)
17. NOAA 2006 West Coast/Alaska Tsunami Warning Center tsunami travel time maps. See http://wcatwc.arh.noaa.gov/ttt/ttt.htm.
18. NOAA 2007 Tsunami originating in Kuril Islands, Russia. See http://wcatwc.arh.noaa.gov/ttvu529260-04.gif.
19. Nye, J. F. 1999 Natural focusing and fine structure of light: caustics and wave dislocations. Bristol, UK: Institute of Physics Publishing.
20. Peregrine, D. H. 1967 Long waves on a beach. J. Fluid Mech. 27, 815-827. (doi:10.1017/S0022112067002605)
21. Poston, T. & Stewart, I. 1978 Catastrophe theory and its applications. London, UK: Pitman. (Reprinted by Dover 1996.)
22. Synolakis, C. E. & Bernard, E. N. 2006 Tsunami science before and after Boxing Day 2004. Phil. Trans. R. Soc. A 364, 2231-2265. (doi:10.1098/rsta.2006.1824)
23. Tadepalli, S. & Synolakis, C. E. 1994 The run-up of N-waves on sloping beaches. Proc. R. Soc. A 445, 99-112. (doi:10.1098/rspa.1994.0050)
24. Tadepalli, S. & Synolakis, C. E. 1996 Model for the leading waves of tsunamis. Phys. Rev. Lett. 77, 2141-2144. (doi:10.1103/ PhysRevLett.77.2141)
25. Titov, V., Rabinovich, A. B., Mojfeld, H. O., Thomson, R. E. & Gonzalez, F. I. 2005 The global reach of the 26 December 2004 Sumatra tsunami. Science 309, 2045-2048. (doi:10.1126/science.1114576)
26. Ward, S. N. 2003 Classical tsunami theory - a la Ward. See http://es.ucsc.edu/~ward/papers/papers_index.htm.