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@ -124,7 +124,7 @@ turns of a cylindrical multilayer inductor not layer by layer, but instead layer
connecting adjacent turns in a diagonal zigzag pattern. Then as now, wound inductors applying this technique were not
feasible to manufacture reliably by machine, but the technique can be closely replicated in PCB inductors as shown in
\textcite{leePrintedSpiralWinding2011a}. The main limiting factors in a PCB implementation are the requirement for a
large number of vias inside the inductor's turns limiting the achievable turn count\footnotes{In PCBs, as opposed to
large number of vias inside the inductor's turns limiting the achievable turn count\footnote{In PCBs, as opposed to
ICs, vias limit the achievablie turn count when they need to be placed in-line inside the turns as opposed to on the
inside or outside because a PCB's minimum trace/space widths are usually much smaller than the smallest feasible via,
consisting of a minimum-size drill surrounded by a minimum-size annular ring.} and increasing ESR through the thin trace
@ -212,6 +212,15 @@ commonly used for two-layer planar
inductors\cite{lopeFirstSelfResonant2021,sproHighVoltageInsulationDesign2021,leePrintedSpiralWinding2011a}, and
which has been used to stack planar coils for more than a century\cite{flemingPrinciplesElectricWave1910}.
Another, more recent design interleaves two counter-wound planar spiral inductors on the same layer with the help of
some jumper connections on a second layer, as shown in \cite{daneshDifferentiallyDrivenSymmetric2002}. The use of this
design in RFIC design is mainly focused on its electrical symmetry, so that the two input ports can be fed with a fully
differential signal, with both driver outputs being loaded equally across the inductor's frequency range.
% They note that the main point behind the design is electrical symmetry of the two ports to make driving the thing
% differentially cleaner. We should adopt this observation for our inductors, which likewise are electrically symmetric
% when compared to a single-layer spiral inductor.
\subsection{Inductive Wireless Power Transfer in Practice}
Inductive WPT has been proposed in a large number of scenarios, each of which comese with a set of