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authorPrefetch2023-05-13 15:42:47 +0200
committerPrefetch2023-05-13 15:42:47 +0200
commit7c412050570ef229dd78cbcffbf80f23728a630d (patch)
treebbb70d82673ddaddb1b259d8b7a4991993f61bc5 /source/know/concept/fabry-perot-cavity
parent9d9693af6fb94ef4404a3c2399cb38842e5ca822 (diff)
Improve knowledge base
Diffstat (limited to 'source/know/concept/fabry-perot-cavity')
-rw-r--r--source/know/concept/fabry-perot-cavity/index.md14
1 files changed, 7 insertions, 7 deletions
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.