Reflection
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@ -85,7 +85,7 @@ Initial analysis of the buoy data plotted in Figure~\ref{fig:wave} shows that th
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orbitals that correspond to an incident wave direction. These results would indicate that the identified wave is
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essentially an incident wave, with a minor reflected component.
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The wavelet power spectrum displayed in Figure~\ref{wavelet} highlights a primary infragravity wave in the signal, with
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The wavelet power spectrum displayed in Figure~\ref{fig:wavelet} highlights a primary infragravity wave in the signal, with
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a period of over 30s.
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\begin{figure*}
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@ -173,7 +173,16 @@ exhibits a water level over 5m for over 40s.
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\subsection{Incident wave}
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According to the criteria proposed by \textcite{dysthe2008}, rogue waves can be defined as waves with an amplitude over
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twice the significant wave height over a given period.
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twice the significant wave height over a given period. The identified wave fits this definition, as its amplitude is
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14.7m, over twice the significant wave height of 6.3m on that day. According to \textcite{dysthe2008}, rogue waves
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often occur from non-linear superposition of smaller waves. This seems to be what we observe on Figure~\ref{fig:wave}.
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The wavelet power spectrum shows that a very prominent infragravity component is present, which usually corresponds to
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non-linear interactions of smaller waves. \textcite{dysthe2008} mentions that such waves in coastal waters are often
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the result of refractive focusing. On February 28, 2017, the frequency of rogue waves was found to be of 1 wave per
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1627, which is considerably more than the excedance probability of 1 over 10\textsuperscript4 calculated by
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\textcite{dysthe2008}. Additionnal studies should be conducted to understand focusing and the formation of rogue waves
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in front of the Saint-Jean-de-Luz bay.
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\subsection{Reflection analysis}
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@ -181,7 +190,12 @@ The 13\% difference between those values highlights the existence of a notable a
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Nonetheless, the gap between the values is still fairly small and the extreme wave identified on February 28, 2017 at
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17:23:08 could still be considered as an incident wave.
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\subsection{}
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Unfortunately, the spectrum wave generation method used by SWASH could not reproduce simlar waves to the one observed
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at the buoy. As mentionned by \textcite{dysthe2008}, such rogue waves cannot be deterministicly from the wave spectrum.
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For this reason, this study only allows us to observe the influence of reflection on short waves, while mostly ignoring
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infragravity waves.
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\subsection{Wave transformation}
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\section{Methods}
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\printbibliography
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