From 2677f9bd104515b598fa49d1ae78fa112d879e8d Mon Sep 17 00:00:00 2001 From: Prefetch Date: Fri, 1 Apr 2022 10:10:31 +0200 Subject: Update "uses" page. Probably last commit for several months. --- content/know/concept/coupled-mode-theory/index.pdc | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) (limited to 'content/know/concept/coupled-mode-theory/index.pdc') diff --git a/content/know/concept/coupled-mode-theory/index.pdc b/content/know/concept/coupled-mode-theory/index.pdc index 5a44d6e..c9e9ad4 100644 --- a/content/know/concept/coupled-mode-theory/index.pdc +++ b/content/know/concept/coupled-mode-theory/index.pdc @@ -190,8 +190,9 @@ $$\begin{aligned} &\quad\; + S_\ell^\mathrm{in} (S_\ell^\mathrm{out})^* - \beta_\ell^* |S_\ell^\mathrm{in}|^2 + (S_\ell^\mathrm{in})^* S_\ell^\mathrm{out} - \beta_\ell |S_\ell^\mathrm{in}|^2 \\ - &= - (|\beta_\ell|^2 + \beta_\ell + \beta_\ell^*) |S_\ell^\mathrm{in}|^2 - + (1 - \beta_\ell) S_\ell^\mathrm{in} (S_\ell^\mathrm{out})^* + (1 - \beta_\ell^*) (S_\ell^\mathrm{in})^* S_\ell^\mathrm{out} + &= - (|\beta_\ell|^2 + \beta_\ell + \beta_\ell^*) |S_\ell^\mathrm{in}|^2 - |S_\ell^\mathrm{out}|^2 + \\ + &\quad\; + (1 - \beta_\ell) S_\ell^\mathrm{in} (S_\ell^\mathrm{out})^* + (1 - \beta_\ell^*) (S_\ell^\mathrm{in})^* S_\ell^\mathrm{out} \end{aligned}$$ This equation is only satisfied if $\beta_\ell = -1$. -- cgit v1.2.3