From 8b8caf2467a738c0b0ccac32163d426ffab2cbd8 Mon Sep 17 00:00:00 2001
From: Prefetch
Date: Tue, 15 Oct 2024 18:08:29 +0200
Subject: Improve knowledge base

---
 source/know/concept/self-steepening/index.md | 8 +++++---
 1 file changed, 5 insertions(+), 3 deletions(-)

(limited to 'source/know/concept/self-steepening/index.md')

diff --git a/source/know/concept/self-steepening/index.md b/source/know/concept/self-steepening/index.md
index 409f6c9..015aa40 100644
--- a/source/know/concept/self-steepening/index.md
+++ b/source/know/concept/self-steepening/index.md
@@ -97,7 +97,9 @@ $$E \equiv \int_{-\infty}^\infty |A|^2 \dd{t}$$ anymore,
 which is often used to quantify simulation errors.
 Fortunately, another value can then be used instead:
 it can be shown that the "photon number" $$N$$
-is still conserved, defined as:
+is still conserved, defined like so,
+where $$\omega$$ is the absolute frequency
+(as opposed to the relative frequency $$\Omega$$):
 
 $$\begin{aligned}
     \boxed{
@@ -193,9 +195,9 @@ pulls the pulse apart before a shock can occur.
 The early steepening is observable though.
 
 A simulation of self-steepening without dispersion is illustrated below
-for the following initial power distribution,
+for the following Gaussian power distribution,
 with $$T_0 = 25\:\mathrm{fs}$$, $$P_0 = 3\:\mathrm{kW}$$,
-$$\beta_2 = 0$$, $$\gamma = 0.1/\mathrm{W}/\mathrm{m}$$,
+$$\beta_2 = 0$$, $$\gamma_0 = 0.1/\mathrm{W}/\mathrm{m}$$,
 and a vacuum carrier wavelength $$\lambda_0 \approx 73\:\mathrm{nm}$$
 (the latter determined by the simulation's resolution settings):
 
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