Add spectra modulation figure

slides/title.md

@@ -9,20 +9,43 @@ _Department of Ocean Science, University of Miami_
 
 _Frost Insitute for Data Science & Computing, University of Miami_
 
-_WISE 2024, Cargèse, France_
+_COMPASS Seminar Series, Rosenstiel School_
+
+_May 1, 2024_
 </section>
 
 
 <section>
 
 ## 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.*)
+</section>
+
+
+<section>
+
+## Importance for remote sensing
+
+TODO
+</section>
+
+<section>
+
+## 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).
 </section>
 
 
@@ -34,6 +57,17 @@ _WISE 2024, Cargèse, France_
 </section>
 
 
+<section>
+
+## 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.
+
+<img class="stretch" src="assets/fig_modulation_effect_on_shortwave_spectra.png">
+</section>
+
+
 <section>
 
 ## One possible look at hydrodynamic modulation