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author | Prefetch | 2023-05-13 15:42:47 +0200 |
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committer | Prefetch | 2023-05-13 15:42:47 +0200 |
commit | 7c412050570ef229dd78cbcffbf80f23728a630d (patch) | |
tree | bbb70d82673ddaddb1b259d8b7a4991993f61bc5 /source/know/concept/fabry-perot-cavity | |
parent | 9d9693af6fb94ef4404a3c2399cb38842e5ca822 (diff) |
Improve knowledge base
Diffstat (limited to 'source/know/concept/fabry-perot-cavity')
-rw-r--r-- | source/know/concept/fabry-perot-cavity/index.md | 14 |
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. |