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List of Figure Captions

Figure 1
Comparison of wave height distribution from laboratory data and theory ($bullet$: laboratory data, solid line: Eq.([*]), dashed line: (), dotted line: Rayleigh distribution).
(a) $mu_3=0.26, mu_4=3.39$
(b) $mu_3=0.21, mu_4=3.62$
Figure 2
Occurrence probability of freak wave as a function of number of waves $N$ and kurtosis $mu_4$.
Figure 3
Ratio of freak wave occurrence predicted by Eq.([*]) to the Rayleigh theory.
Figure 4
Relationship between $H_{max}/H_{1/3}$ and $mu_4$.
Figure 5
Comparison of the maximum wave height distribution with observed data and theory ($N=150-200$).
$mu_4=2.8-3.0$
$mu_4=3.0-3.2$
$mu_4=3.2-3.4$
$mu_4=3.4-3.6$
Figure 6
Dependence of $langle H_{max}/H_{1/3} rangle$ on $mu_4$ and $N$.
(a) Observed data
(b) Theory
Figure 7
Dependence of occurrence probability of freak wave on $mu_4$ and $N$.
(a) Observed data
(b) Theory

Figure: Comparison of wave height distribution from laboratory data and theory ($bullet$: laboratory data, solid line: Eq.([*]), dashed line: (), dotted line: Rayleigh distribution).
\includegraphics[width=14 cm]{figures/ERdist_case1}
(a) $mu_3=0.26, mu_4=3.39$
Figure: Comparison of wave height distribution from laboratory data and theory ($bullet$: laboratory data, solid line: Eq.([*]), dashed line: (), dotted line: Rayleigh distribution).
\includegraphics[width=14 cm]{figures/ERdist_case2}
(b) $mu_3=0.21, mu_4=3.62$
Figure: Occurrence probability of freak wave as a function of number of waves $N$ and kurtosis $mu_4$.
\includegraphics[width=14 cm]{figures/P_freak}
Figure: Ratio of freak wave occurrence predicted by Eq.([*]) to the Rayleigh theory.
\includegraphics[width=14 cm]{figures/R_freak}
Figure: Observed relationship between $H_{max}/H_{1/3}$ and $mu_4$ in field.
\includegraphics[width=14 cm]{figures/observed_1}
Figure: Comparison of the maximum wave height distribution with observed data and theory ($N=150-200$).
\begin{figure}\wIncGraphSubcap
{figures/comp_N175k29}{14.0}
{$\mu_4=2.8-3.0$}
\end{figure}
Figure: Comparison of the maximum wave height distribution with observed data and theory ($N=150-200$).
\begin{figure}\wIncGraphSubcap
{figures/comp_N175k31}{14.0}
{$\mu_4=3.0-3.2$}
\end{figure}
Figure: Comparison of the maximum wave height distribution with observed data and theory ($N=150-200$).
\begin{figure}\wIncGraphSubcap
{figures/comp_N175k33}{14.0}
{$\mu_4=3.2-3.4$}
\end{figure}
Figure: Comparison of the maximum wave height distribution with observed data and theory ($N=150-200$).
\begin{figure}\wIncGraphSubcap
{figures/comp_N175k35}{14.0}
{$\mu_4=3.4-3.6$}
\end{figure}
Figure: Dependence of $langle H_{max}/H_{1/3} rangle$ on $mu_4$ and $N$.
\includegraphics[width=14 cm]{figures/observed_HmHs}
(a) Observed data
Figure: Dependence of $langle H_{max}/H_{1/3} rangle$ on $mu_4$ and $N$.
\includegraphics[width=14 cm]{figures/theory_HmHs}
(b) Theory
Figure: Dependence of occurrence probability of freak wave on $mu_4$ and $N$ .
\includegraphics[width=14 cm]{figures/observed_Pf}
(a) Observed data
Figure: Dependence of occurrence probability of freak wave on $mu_4$ and $N$ .
\includegraphics[width=14 cm]{figures/theory_Pf}
(b) Theory


next up previous
Next: About this document ... Up: JPO_freakwave_html Previous: Evaluation of the singular

2006-08-21