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authorPrefetch2023-01-01 16:40:56 +0100
committerPrefetch2023-01-01 17:02:29 +0100
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tree1fd87919deee17e58f8ad19c09abd54bd4a70886 /source/know/concept/optical-wave-breaking/index.md
parent1d700ab734aa9b6711eb31796beb25cb7659d8e0 (diff)
Change license, add Makefile, add image caching control
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@@ -34,7 +34,8 @@ Shortly before the slope would become infinite,
small waves start "falling off" the edge of the pulse,
hence the name *wave breaking*:
-{% include image.html file="frequency-full.png" width="100%" alt="Instantaneous frequency profile evolution" %}
+{% include image.html file="frequency-full.png" width="100%"
+ alt="Instantaneous frequency profile evolution" %}
Several interesting things happen around this moment.
To demonstrate this, spectrograms of the same simulation
@@ -51,7 +52,8 @@ After OWB, a train of small waves falls off the edges,
which eventually melt together, leading to a trapezoid shape in the $$t$$-domain.
Dispersive broadening then continues normally:
-{% include image.html file="spectrograms-full.png" width="100%" alt="Spectrograms of pulse shape evolution" %}
+{% include image.html file="spectrograms-full.png" width="100%"
+ alt="Spectrograms of pulse shape evolution" %}
We call the distance at which the wave breaks $$L_\mathrm{WB}$$,
and want to predict it analytically.
@@ -189,7 +191,8 @@ $$\begin{aligned}
This prediction for $$L_\mathrm{WB}$$ appears to agree well
with the OWB observed in the simulation:
-{% include image.html file="simulation-full.png" width="100%" alt="Optical wave breaking simulation results" %}
+{% include image.html file="simulation-full.png" width="100%"
+ alt="Optical wave breaking simulation results" %}
Because all spectral broadening up to $$L_\mathrm{WB}$$ is caused by SPM,
whose $$\omega$$-domain behaviour is known,