From: W. Trevor King <wking@tremily.us>
Date: Tue, 28 May 2013 15:42:31 +0000 (-0400)
Subject: index.html.itex: Add a calibcant calculation flow chart
X-Git-Tag: thesis-v1.0~7
X-Git-Url: http://git.tremily.us/?a=commitdiff_plain;h=e2580b334af492fbe3c39700adfa27a628a00306;p=reveal.js.git

index.html.itex: Add a calibcant calculation flow chart
---

diff --git a/Makefile b/Makefile
index 093da05..dc035c6 100644
--- a/Makefile
+++ b/Makefile
@@ -38,6 +38,7 @@ THUMBNAILS = \
 	$(DEST)/ants-fw-fh.png \
 	$(DEST)/cantilever.jpg \
 	$(DEST)/tip.jpg \
+	$(DEST)/calibcant-flow-hw-fh.png \
 	$(DEST)/vibration-fw-fh.png \
 	$(DEST)/vibration-hw-fh.png \
 	$(DEST)/bump-fw-fh.png \
diff --git a/index.html.itex b/index.html.itex
index 0ab7c76..e12c1e4 100644
--- a/index.html.itex
+++ b/index.html.itex
@@ -527,30 +527,27 @@ index 60741c6..e76b118 100644
 					</section>
 					<section>
 						<h2>Calibration: Equipartition</h2>
-						<p>
-							For a damped harmonic oscillator
-						</p>
-
-\[
-  -\kappa x_c
-  - \gamma \frac{\mathrm{d}\! x_c}{\mathrm{d}\! t}
-  + F_\text{ext}(t)
-    = m\frac{\mathrm{d}^2\! x}{\mathrm{d}\! t^2} \;,
-\]
-
-						<p>
-							the energy in each degree of freedom is $\frac{1}{2}k_B
-							T$.
-						</p>
+						<table class="center">
+							<tr>
+								<td style="vertical-align: middle;">
+									<img src="media/build/calibcant-flow-hw-fh.png" />
+								</td>
+								<td>
+									<p>
+										The average spring energy is
+									</p>
 
 \[
   \frac{1}{2} \kappa \left\langle x_c^2 \right\rangle = \frac{1}{2}k_B T \;,
 \]
 
-						<p>
-							where $k_B$ is Boltzmann's constant and $T$ is the
-							temperature.
-						</p>
+									<p>
+										where $k_B$ is Boltzmann's constant and $T$ is the
+										temperature.
+									</p>
+								</td>
+							</tr>
+						</table>
 					</section>
 					<section>
 						<h2>Calibration: Vibration</h2>
diff --git a/media/src/asy/calibcant-flow.asy b/media/src/asy/calibcant-flow.asy
new file mode 100644
index 0000000..5b5a354
--- /dev/null
+++ b/media/src/asy/calibcant-flow.asy
@@ -0,0 +1,32 @@
+// Flow chart for thermal cantilever calibration
+
+usepackage("fixltx2e");  /* for \textsuperscript */
+
+import flowchart;
+
+block V_var = roundrectangle(
+  "Vibration variance $\langle V_p^2 \rangle$ (V\textsuperscript{2})", (0, 0));
+
+real dx = 1.25 * (V_var.right().x - V_var.left().x);
+real dy = 2 * (V_var.top().y - V_var.bottom().y);
+
+block sigma = roundrectangle(
+  "Photodiode sensitivity $\sigma_p$ (V/m)", V_var.center + (dx, 0));
+block X_var = roundrectangle(
+  "Vibration variance $\langle x_c^2 \rangle$ (m\textsuperscript{2})",
+  V_var.center + (0, dy));
+block T = roundrectangle(
+  "Buffer temperature $T$ (K)", X_var.center + (dx, 0));
+block kappa = roundrectangle(
+  "Spring constant $\kappa$ (N/m)", X_var.center + (0, dy));
+
+draw(kappa.bottomright() -- T.topleft());
+draw(kappa.bottom() -- X_var.top());
+draw(X_var.bottom() -- V_var.top());
+draw(X_var.bottomright() -- sigma.topleft());
+
+draw(kappa);
+draw(T);
+draw(X_var);
+draw(sigma);
+draw(V_var);