Time evolution of second-order nonlinear profiles induced within thermally poled silica samples

2005 ◽  
Vol 30 (9) ◽  
pp. 1039 ◽  
Author(s):  
Alexandre Kudlinski ◽  
Gilbert Martinelli ◽  
Yves Quiquempois
1996 ◽  
Vol 69 (25) ◽  
pp. 3791-3793 ◽  
Author(s):  
Lei Xu ◽  
Liying Liu ◽  
Jing Yu ◽  
Wencheng Wang ◽  
Fuming Li

2004 ◽  
Vol 85 (24) ◽  
pp. 5819-5821 ◽  
Author(s):  
Honglin An ◽  
Simon Fleming ◽  
Guy Cox

2001 ◽  
Vol 79 (17) ◽  
pp. 2687-2689 ◽  
Author(s):  
D. Faccio ◽  
V. Pruneri ◽  
P. G. Kazansky

2006 ◽  
Vol 14 (25) ◽  
pp. 12334 ◽  
Author(s):  
Huai-Yi Chen ◽  
Feng-Fan Chang ◽  
Jia-Cheng Liao ◽  
Shiuh Chao

Author(s):  
Felice Arena ◽  
Francesco Fedele

The theory of quasi-determinism, for the mechanics of linear three-dimensional waves, was obtained by Boccotti in the eighties. The first formulation of the theory deals with the largest crest amplitude; the second formulation deals with the largest wave height. The theory was verified in the nineties with some small-scale field experiments. In this paper the first formulation of Boccotti’s theory, valid for the space-time domain, is extended to the second order. The analytical expressions of the non-linear free surface displacement and velocity potential are obtained. Therefore the space-time evolution of a wave group, to the second-order in a Stokes expansion, when a very large crest occurs at a fixed time and location, is investigated. Finally the second-order probability of exceedance of the crest amplitude is obtained, as a function of two deterministic parameters.


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