diff options
Diffstat (limited to 'content/know/concept/optical-wave-breaking/index.pdc')
| -rw-r--r-- | content/know/concept/optical-wave-breaking/index.pdc | 6 |
1 files changed, 1 insertions, 5 deletions
diff --git a/content/know/concept/optical-wave-breaking/index.pdc b/content/know/concept/optical-wave-breaking/index.pdc index 2ab3ff1..30305f5 100644 --- a/content/know/concept/optical-wave-breaking/index.pdc +++ b/content/know/concept/optical-wave-breaking/index.pdc @@ -6,7 +6,7 @@ categories: - Physics - Optics - Fiber optics -- Nonlinear dynamics +- Nonlinear optics date: 2021-02-27T10:09:46+01:00 draft: false @@ -75,9 +75,6 @@ the instantaneous frequencies for these separate effects: $$\begin{aligned} \omega_i(z,t) &\approx \omega_\mathrm{GVD}(z,t) + \omega_\mathrm{SPM}(z,t) -% &= \frac{\beta_2 z / T_0^2}{1 + \beta_2^2 z^2 / T_0^4} \frac{t}{T_0^2} -% + \frac{2\gamma P_0 z}{T_0^2} t \exp\!\Big(\!-\frac{t^2}{T_0^2}\Big) -% \\ = \frac{tz}{T_0^2} \bigg( \frac{\beta_2 / T_0^2}{1 + \beta_2^2 z^2 / T_0^4} + 2\gamma P_0 \exp\!\Big(\!-\!\frac{t^2}{T_0^2}\Big) \bigg) \end{aligned}$$ @@ -210,7 +207,6 @@ be approximately reduced to: $$\begin{aligned} \omega_\mathrm{SPM}(L_\mathrm{WB}, t) -% = \frac{2 \gamma P_0 t \exp(-t^2 / T_0^2)}{\beta_2 \sqrt{N_\mathrm{sol}^2 / N_\mathrm{min}^2 - 1}} \approx \frac{2 \gamma P_0 t}{\beta_2 N_\mathrm{sol}} \exp\!\Big(\!-\!\frac{t^2}{T_0^2}\Big) = 2 \sqrt{\frac{\gamma P_0}{\beta_2}} \frac{t}{T_0} \exp\!\Big(\!-\!\frac{t^2}{T_0^2}\Big) \end{aligned}$$ |