section that this dispersion relation enables devices with
negative phase velocity and near-zero group velocity.)
+\begin{figure}[t]
+\centerline{\scalebox{.238}{\includegraphics{anisotropic_nr.pdf}}}
+\caption{(a) The ray diagram and (b) the electric field for
+the refraction of a light beam at the boundary of air with an
+$\epsilon_x < 0$, $\epsilon_z > 0$ material. Note negative
+refraction of the beam and the direction of the wavefronts
+($\epsilon_z = 3$, $\epsilon_x = - 1.5$). (c) The intensity distribution of a beam
+ propagating through a slab made of
+such material. This slab functions as a planar lens. [Adapted from
+Ref.~\inlinecite{AlekseyevNarimanov2006}.]
+ }
+\label{fig:anisotropic_nr}
+\end{figure}
+
One hyperbolic dispersion effect that is of particular interest in
imaging applications involves directionality constraints on
propagating radiation. Fig.~\ref{fig:dr}(c) shows that
$\epsilon_x < 0, \; \epsilon_z > 0$ structure and enable
subdiffraction-limited imaging.
-\begin{figure}
-\centerline{\scalebox{.238}{\includegraphics{anisotropic_nr.pdf}}}
-\caption{(a) The ray diagram and (b) the electric field for
-the refraction of a light beam at the boundary of air with an
-$\epsilon_x < 0$, $\epsilon_z > 0$ material. Note negative
-refraction of the beam and the direction of the wavefronts
-($\epsilon_z = 3$, $\epsilon_x = - 1.5$). (c) The intensity distribution of a beam
- propagating through a slab made of
-such material. This slab functions as a planar lens. [Adapted from
-Ref.~\inlinecite{AlekseyevNarimanov2006}.]
- }
-\label{fig:anisotropic_nr}
-\end{figure}
-
\section{Hyperbolic Dispersion: Materials}
\begin{figure}
-\centerline{\scalebox{.20}{\includegraphics{wgstuff.pdf}}}
+\centerline{\scalebox{.30}{\includegraphics{wgstuff.pdf}}}
\caption{(a) Negative refraction exhibited by wavefronts in a 2D
slab waveguide with metallic walls, filled with an isotropic
dielectric on the left, and $\{\epsilon_\perp < 0, \;
\begin{figure}
%\centerline{\scalebox{.85}{\includegraphics{wg_modes_1.pdf}}}
-\centerline{\scalebox{.73}{\includegraphics{eff_medium_modes.pdf}}}
+\centerline{\scalebox{.43}{\includegraphics{eff_medium_modes.pdf}}}
\caption{(a) high-angular-momentum states in an isotropic
dielectric cylinder. (b) high-angular-momentum states in a
cylinder made of $ \epsilon_{\theta}>0$, $\epsilon_{r}<0$
\begin{figure}
-\centerline{\scalebox{0.35}{\includegraphics{image_resolution_b.pdf}}}
+\centerline{\scalebox{0.45}{\includegraphics{image_resolution_b.pdf}}}
\caption{(a) Schematics of imaging by the hyperlens. Two point
sources separated by $\lambda/4.5$ are placed within the hollow core
of the hyperlens. The hyperlens consists of 160 alternating layers of metal