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literal 0 HcmV?d00001 diff --git a/paper/paper.tex b/paper/paper.tex index b43d7d6..3a59601 100644 --- a/paper/paper.tex +++ b/paper/paper.tex @@ -224,6 +224,7 @@ values of $n$ and $k$. \label{fig_nk_interleave_illust} \end{figure} + \subsubsection{Ohmic Resistance} \subsubsection{Inductance} @@ -259,12 +260,44 @@ Determining parasitic capacitance is more complex. \section{Experimental Validation} +To experimentally validate our design with real-world inductors, we produced test coupons with a number of variations of +twisted inductors with winding count $n$ between $1$ and $25$, and twist count ranging from $k=0$ (simple single-sided +spiral inductor) to $k=37$. + \subsection{Inductance and Parasitic Capacitance} \subsection{Self-Resonant Frequency} \subsection{Coupling} +\begin{figure} + \begin{center} + %\includegraphics[width=0.7\linewidth]{figures/symmetry_3turn_n_twist.pdf} + \end{center} + \caption{Coupling test circuit} + \label{symmetry_test_circuit} +\end{figure} + +\begin{figure} + \begin{center} + \includegraphics[width=\linewidth]{figures/symmetry_3turn_n_twist.pdf} + \end{center} + \caption{RMS output voltage of the test circuit from Figure\ \ref{symmetry_test_circuit} for three pairs of matching + inductors with one inductor rotating w.r.t.\ the other. The inductors have $n=3$ turns each and $k=0$, $k=1$, and + $k=3$, respectively. For each $k$, voltage curves are plotted for a number of different radial offsets + between the two inductor's centers.} + \label{symmetry_3turn_n_twist} +\end{figure} + +\begin{figure} + \begin{center} + \includegraphics[width=\linewidth]{figures/symmetry_10turn_n_twist.pdf} + \end{center} + \caption{Coupled RMS output voltage of three pairs of matching inductors with $n=10$ turns each and $k=0$, $k=1$, + and $k=3$, respectively, shown as in Figure\ \ref{symmetry_3turn_n_twist}} + \label{symmetry_10turn_n_twist} +\end{figure} + \section{Conclusion} \section*{Availability}