From 7c412050570ef229dd78cbcffbf80f23728a630d Mon Sep 17 00:00:00 2001
From: Prefetch
Date: Sat, 13 May 2023 15:42:47 +0200
Subject: Improve knowledge base

---
 source/know/concept/fabry-perot-cavity/index.md | 14 +++++++-------
 1 file changed, 7 insertions(+), 7 deletions(-)

(limited to 'source/know/concept/fabry-perot-cavity/index.md')

diff --git a/source/know/concept/fabry-perot-cavity/index.md b/source/know/concept/fabry-perot-cavity/index.md
index c88e62d..d5ea0ea 100644
--- a/source/know/concept/fabry-perot-cavity/index.md
+++ b/source/know/concept/fabry-perot-cavity/index.md
@@ -95,10 +95,10 @@ $$\begin{aligned}
     \end{bmatrix}
 \end{aligned}$$
 
-We want non-trivial solutions, where we
-cannot simply satisfy the system by setting $$A_1$$, $$A_2$$, $$A_3$$ and
-$$A_4$$; this constraint will give us an equation for $$k_m$$. Therefore, we
-demand that the system matrix is singular, i.e. its determinant is zero:
+We do not want to simply satisfy this equation
+by setting $$A_1$$, $$A_2$$, $$A_3$$ and $$A_4$$,
+so we demand that the system matrix is not invertible,
+i.e. its determinant is zero:
 
 $$\begin{aligned}
     0 =
@@ -180,7 +180,7 @@ $$\begin{aligned}
     \end{bmatrix}
 \end{aligned}$$
 
-Again, we demand that the determinant is zero, in order to get non-trivial solutions:
+Again, we demand that the determinant is zero in order to get non-trivial solutions:
 
 $$\begin{aligned}
     0
@@ -225,8 +225,8 @@ $$\begin{aligned}
 
 Note that we have not demanded continuity of the electric field.
 This is because the mirrors are infinitely thin "magic" planes;
-had we instead used the full mirror structure,
-then we would have demanded continuity, as you maybe expected.
+had we instead included the full microscopic mirror structure,
+then we would have demanded continuity as before.
 
 
 
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