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Diffstat (limited to 'content/know/concept/coupled-mode-theory/index.pdc')
| -rw-r--r-- | content/know/concept/coupled-mode-theory/index.pdc | 5 |
1 files changed, 3 insertions, 2 deletions
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 $\beta_\ell = -1$. |