From 20e7c96c35b922252e17fd5fc9ff0407d9bd30ca Mon Sep 17 00:00:00 2001 From: Prefetch Date: Mon, 1 Mar 2021 11:45:21 +0100 Subject: Optimize images --- content/know/concept/dispersive-broadening/index.pdc | 4 +++- .../concept/dispersive-broadening/pheno-disp-small.jpg | Bin 0 -> 95385 bytes .../know/concept/modulational-instability/index.pdc | 4 +++- .../modulational-instability/pheno-mi-small.jpg | Bin 0 -> 72375 bytes content/know/concept/optical-wave-breaking/index.pdc | 12 ++++++++---- .../optical-wave-breaking/pheno-break-inst-small.jpg | Bin 0 -> 38886 bytes .../optical-wave-breaking/pheno-break-sgram-small.jpg | Bin 0 -> 173644 bytes .../optical-wave-breaking/pheno-break-small.jpg | Bin 0 -> 71450 bytes content/know/concept/self-phase-modulation/index.pdc | 4 +++- .../concept/self-phase-modulation/pheno-spm-small.jpg | Bin 0 -> 121984 bytes content/know/concept/self-steepening/index.pdc | 4 +++- .../know/concept/self-steepening/pheno-steep-small.jpg | Bin 0 -> 91324 bytes 12 files changed, 20 insertions(+), 8 deletions(-) create mode 100644 content/know/concept/dispersive-broadening/pheno-disp-small.jpg create mode 100644 content/know/concept/modulational-instability/pheno-mi-small.jpg create mode 100644 content/know/concept/optical-wave-breaking/pheno-break-inst-small.jpg create mode 100644 content/know/concept/optical-wave-breaking/pheno-break-sgram-small.jpg create mode 100644 content/know/concept/optical-wave-breaking/pheno-break-small.jpg create mode 100644 content/know/concept/self-phase-modulation/pheno-spm-small.jpg create mode 100644 content/know/concept/self-steepening/pheno-steep-small.jpg (limited to 'content') diff --git a/content/know/concept/dispersive-broadening/index.pdc b/content/know/concept/dispersive-broadening/index.pdc index 7342295..f053eb6 100644 --- a/content/know/concept/dispersive-broadening/index.pdc +++ b/content/know/concept/dispersive-broadening/index.pdc @@ -64,7 +64,9 @@ This phenomenon is illustrated below for our example of a Gaussian pulse with parameter values $T_0 = 1\:\mathrm{ps}$, $P_0 = 1\:\mathrm{kW}$, $\beta_2 = -10 \:\mathrm{ps}^2/\mathrm{m}$ and $\gamma = 0$: - + + + The **instantaneous frequency** $\omega_\mathrm{GVD}(z, t)$, which describes the dominant angular frequency at a given point in the time domain, diff --git a/content/know/concept/dispersive-broadening/pheno-disp-small.jpg b/content/know/concept/dispersive-broadening/pheno-disp-small.jpg new file mode 100644 index 0000000..8c70eac Binary files /dev/null and b/content/know/concept/dispersive-broadening/pheno-disp-small.jpg differ diff --git a/content/know/concept/modulational-instability/index.pdc b/content/know/concept/modulational-instability/index.pdc index d912c04..26d2552 100644 --- a/content/know/concept/modulational-instability/index.pdc +++ b/content/know/concept/modulational-instability/index.pdc @@ -177,7 +177,9 @@ $$\begin{aligned} = \sqrt{P_0} \sech\!\Big(\frac{t}{T_0}\Big) \end{aligned}$$ - + + + Where $L_\mathrm{NL} = 1/(\gamma P_0)$ is the characteristic length of nonlinear effects. Note that no noise was added to the simulation; diff --git a/content/know/concept/modulational-instability/pheno-mi-small.jpg b/content/know/concept/modulational-instability/pheno-mi-small.jpg new file mode 100644 index 0000000..995ec81 Binary files /dev/null and b/content/know/concept/modulational-instability/pheno-mi-small.jpg differ diff --git a/content/know/concept/optical-wave-breaking/index.pdc b/content/know/concept/optical-wave-breaking/index.pdc index 3c509fe..757a633 100644 --- a/content/know/concept/optical-wave-breaking/index.pdc +++ b/content/know/concept/optical-wave-breaking/index.pdc @@ -39,7 +39,9 @@ Shortly before the slope would become infinite, small waves start "falling off" the edge of the pulse, hence the name *wave breaking*: - + + + Several interesting things happen around this moment. To demonstrate this, spectrograms of the same simulation @@ -57,7 +59,7 @@ which eventually melt together, leading to a trapezoid shape in the $t$-domain. Dispersive broadening then continues normally: - + We call the distance at which the wave breaks $L_\mathrm{WB}$, @@ -87,7 +89,7 @@ expression can be reduced to: $$\begin{aligned} \omega_i(z,t) \approx \frac{\beta_2 tz}{T_0^4} \bigg( 1 + 2\frac{\gamma P_0 T_0^2}{\beta_2} \exp\!\Big(\!-\!\frac{t^2}{T_0^2}\Big) \bigg) - = \frac{\beta_2 t z}{T_0^4} \bigg( 1 \pm 2 N_\mathrm{sol}^2 \exp\!\Big(\!-\!\frac{t^2}{T_0^2}\Big) \bigg) + = \frac{\beta_2 t z}{T_0^4} \bigg( 1 + 2 N_\mathrm{sol}^2 \exp\!\Big(\!-\!\frac{t^2}{T_0^2}\Big) \bigg) \end{aligned}$$ Where we have assumed $\beta_2 > 0$, @@ -183,7 +185,9 @@ $$\begin{aligned} This prediction for $L_\mathrm{WB}$ appears to agree well with the OWB observed in the simulation: - + + + Because all spectral broadening up to $L_\mathrm{WB}$ is caused by SPM, whose frequency behaviour is known, it is in fact possible to draw diff --git a/content/know/concept/optical-wave-breaking/pheno-break-inst-small.jpg b/content/know/concept/optical-wave-breaking/pheno-break-inst-small.jpg new file mode 100644 index 0000000..f7568e6 Binary files /dev/null and b/content/know/concept/optical-wave-breaking/pheno-break-inst-small.jpg differ diff --git a/content/know/concept/optical-wave-breaking/pheno-break-sgram-small.jpg b/content/know/concept/optical-wave-breaking/pheno-break-sgram-small.jpg new file mode 100644 index 0000000..3c493f2 Binary files /dev/null and b/content/know/concept/optical-wave-breaking/pheno-break-sgram-small.jpg differ diff --git a/content/know/concept/optical-wave-breaking/pheno-break-small.jpg b/content/know/concept/optical-wave-breaking/pheno-break-small.jpg new file mode 100644 index 0000000..f29a32a Binary files /dev/null and b/content/know/concept/optical-wave-breaking/pheno-break-small.jpg differ diff --git a/content/know/concept/self-phase-modulation/index.pdc b/content/know/concept/self-phase-modulation/index.pdc index 868fd68..1ec3fdd 100644 --- a/content/know/concept/self-phase-modulation/index.pdc +++ b/content/know/concept/self-phase-modulation/index.pdc @@ -71,7 +71,9 @@ $$\begin{aligned} A(z, t) = \sqrt{P_0} \exp\!\Big(\!-\!\frac{t^2}{2 T_0^2}\Big) \exp\!\bigg( i \gamma z P_0 \exp\!\Big(\!-\!\frac{t^2}{T_0^2}\Big) \bigg) \end{aligned}$$ - + + + The **instantaneous frequency** $\omega_\mathrm{SPM}(z, t)$, which describes the dominant angular frequency at a given point in the time domain, diff --git a/content/know/concept/self-phase-modulation/pheno-spm-small.jpg b/content/know/concept/self-phase-modulation/pheno-spm-small.jpg new file mode 100644 index 0000000..6f041ec Binary files /dev/null and b/content/know/concept/self-phase-modulation/pheno-spm-small.jpg differ diff --git a/content/know/concept/self-steepening/index.pdc b/content/know/concept/self-steepening/index.pdc index efbdfe4..97999b7 100644 --- a/content/know/concept/self-steepening/index.pdc +++ b/content/know/concept/self-steepening/index.pdc @@ -118,7 +118,9 @@ $L_\mathrm{shock} = 0.847\,\mathrm{m}$, which turns out to be accurate, although the simulation breaks down due to insufficient resolution: - + + + Unfortunately, self-steepening cannot be simulated perfectly: as the pulse approaches $L_\mathrm{shock}$, its spectrum broadens to infinite diff --git a/content/know/concept/self-steepening/pheno-steep-small.jpg b/content/know/concept/self-steepening/pheno-steep-small.jpg new file mode 100644 index 0000000..bb2a158 Binary files /dev/null and b/content/know/concept/self-steepening/pheno-steep-small.jpg differ -- cgit v1.2.3