Update plots

paper/paper.tex

@@ -149,7 +149,7 @@ The trace trajectory of a standard planar spiral inductor can be parameterized i
 an Archimedean spiral: \todo{For the lulz, cite Archimedes here}
 
 \begin{equation}
-    r &= a\cdot\phi
+    r = a\cdot\phi
     \label{eqn_arch_spi_basic}
 \end{equation}
 
@@ -157,18 +157,18 @@ An Archimedean spiral defined this way always starts at the origin, and it conti
 this spiral to a curve parameter $t$ with range $\left[0,1\right]$.
 
 inductor has a defined inner radius $r_0$ and outer radius $r_1$, and a
-fixed turn count $n$. Let us further re-parameterize the spiral to a curve parameter $t$ with range $\left\[0,
-1\right\]$. Taking into account that the input ports of a spiral inductor are usually placed on the outside of the
-spiral, we define the inductor's first port to lie at $\left\(\phi, r\right\)=\left\(0, r_1\right\)$, and we define that
+fixed turn count $n$. Let us further re-parameterize the spiral to a curve parameter $t$ with range $\left[0,
+1\right]$. Taking into account that the input ports of a spiral inductor are usually placed on the outside of the
+spiral, we define the inductor's first port to lie at $\left(\phi, r\right)=\left(0, r_1\right)$, and we define that
 this corresponds to $t=0$. The resulting parametrization is:
 
 \begin{align}
-       r &= r_1 - \frac{t}{n} \cdot \left\(r_1 - r_0\right\) \\
+       r &= r_1 - \frac{t}{n} \cdot \left(r_1 - r_0\right) \\
     \phi &= 2\pi \cdot n \cdot t
     \label{eqn_simple_spiral_ind}
 \end{align}
 
-For integer $n$, the spiral's second port will lie at $\left\(\phi, r\right\)=\left\(0, r_0\right\)$, however, other
+For integer $n$, the spiral's second port will lie at $\left(\phi, r\right)=\left(0, r_0\right)$, however, other
 values of $n$ are possible, which will rotate the second port around the coordinate origin.
 
 %Let us further flip the radial coordinate axis such that the spiral's outer end is at $\phi=0$
@@ -177,6 +177,18 @@ values of $n$ are possible, which will rotate the second port around the coordin
 
 \subsection{From Spiral to Twisted Inductor}
 
+\begin{figure*}
+    \begin{center}
+        \includegraphics[width=\textwidth]{figures/nk_simple_illust.pdf}
+    \end{center}
+\end{figure*}
+
+\begin{figure*}
+    \begin{center}
+        \includegraphics[width=\textwidth]{figures/nk_complex_illust.pdf}
+    \end{center}
+\end{figure*}
+
 \subsubsection{Ohmic Resistance}
 
 \subsubsection{Inductance}