From 20e7c96c35b922252e17fd5fc9ff0407d9bd30ca Mon Sep 17 00:00:00 2001
From: Prefetch
Date: Mon, 1 Mar 2021 11:45:21 +0100
Subject: Optimize images
---
content/know/concept/optical-wave-breaking/index.pdc | 12 ++++++++----
1 file changed, 8 insertions(+), 4 deletions(-)
(limited to 'content/know/concept/optical-wave-breaking/index.pdc')
diff --git a/content/know/concept/optical-wave-breaking/index.pdc b/content/know/concept/optical-wave-breaking/index.pdc
index 3c509fe..757a633 100644
--- a/content/know/concept/optical-wave-breaking/index.pdc
+++ b/content/know/concept/optical-wave-breaking/index.pdc
@@ -39,7 +39,9 @@ Shortly before the slope would become infinite,
small waves start "falling off" the edge of the pulse,
hence the name *wave breaking*:
-
+
+
+
Several interesting things happen around this moment.
To demonstrate this, spectrograms of the same simulation
@@ -57,7 +59,7 @@ which eventually melt together, leading to a trapezoid shape in the $t$-domain.
Dispersive broadening then continues normally:
-
+
We call the distance at which the wave breaks $L_\mathrm{WB}$,
@@ -87,7 +89,7 @@ expression can be reduced to:
$$\begin{aligned}
\omega_i(z,t)
\approx \frac{\beta_2 tz}{T_0^4} \bigg( 1 + 2\frac{\gamma P_0 T_0^2}{\beta_2} \exp\!\Big(\!-\!\frac{t^2}{T_0^2}\Big) \bigg)
- = \frac{\beta_2 t z}{T_0^4} \bigg( 1 \pm 2 N_\mathrm{sol}^2 \exp\!\Big(\!-\!\frac{t^2}{T_0^2}\Big) \bigg)
+ = \frac{\beta_2 t z}{T_0^4} \bigg( 1 + 2 N_\mathrm{sol}^2 \exp\!\Big(\!-\!\frac{t^2}{T_0^2}\Big) \bigg)
\end{aligned}$$
Where we have assumed $\beta_2 > 0$,
@@ -183,7 +185,9 @@ $$\begin{aligned}
This prediction for $L_\mathrm{WB}$ appears to agree well
with the OWB observed in the simulation:
-
+
+
+
Because all spectral broadening up to $L_\mathrm{WB}$ is caused by SPM,
whose frequency behaviour is known, it is in fact possible to draw
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