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zM5ql`NV~})>Z0e{hCaMarqgkKp9j;(JjHDH!kd&1VsgqWrQ4T`Kx{~Ih=V?pZ3^F3 zRAd21g$w0Q*vSFKiDb&DNLSz#0DWb6tUOYfH60jmV&uG@bM5|;p%Bp@(P{+V)EC(- zRo!!hW2S)Gt-k%XE07mB$W%~~dqBW~(gM$%w5WaPl3^&?JR8bh83lqoj;STm^-{sW zjwPg~<08ZG?pbVf^b~*^SJ&r_Yr-Y8Pp+&2-7z%yt@|Jgq;^7TD%F}N*}SpVBZa0dEBtBX zRX4x_(W6FweayEo(u?N0!D`Wq*$AO^Lak^h+RO0QeA~8apX#RrFyRoHFSHX9y40bC zRpWR0`>XY1Tr%@vqc4{%kN2S<6iSVXIt!^cyyvqQJCLDhddIqMm$OZr1aM!_cKIoL z+b! @@ -17,12 +19,33 @@ _WISE 2024, Cargèse, France_ ## Problem statement -* Short waves are modulated by ambient longer waves. +* Short ocean waves are modulated by ambient longer waves. * Well studied but not fully understood; many processes going on. * Modulation is important for at least: - Remote sensing (e.g. *EM return from Bragg waves carry information about long waves*) - Numerical wave prediction (e.g. *can different wave bands be treated independently in wind input functions?*) - - _In situ_ measurements (e.g. *a fixed wave staff measures modulated waves.*) + - _in situ_ measurements (e.g. *a fixed wave staff measures modulated waves.*) + + + +
+ +## Importance for remote sensing + +TODO +
+ +
+ +## Importance for numerical wave prediction + +* Numerical wave models solve the wave action balance equation. +* This equation includes empirical source and sink functions. +* Wave forecast models provide: + - Critical information for marine operations and coastal communities + - Surface boundary conditions for atmosphere and ocean circulation models +* State-of-the-art wave dissipation functions (e.g. Romero, 2019) parameterize + this modulation effect through the cumulative mean square slope (MSS).
@@ -34,6 +57,17 @@ _WISE 2024, Cargèse, France_ +
+ +## Importance for the interpretation of _in situ_ wave measurements + +* Fixed sensor measures the modulated wave, not the intrinsic one. +* Measured short-wave energy ($k = 10\ rad/m$) will be "smeared" in wavenumber space in presence of longer waves. + + +
+ +
## One possible look at hydrodynamic modulation