Semiclassical gaussian image had (abc) labels made larger to correlate with the previ...

diff --git a/anisotropic_nim_subsects_5.tex b/anisotropic_nim_subsects_5.tex
index 611e067..903dde2 100755 (executable)
--- a/anisotropic_nim_subsects_5.tex
+++ b/anisotropic_nim_subsects_5.tex
@@ -832,6 +832,18 @@ used for dielectric permittivities.  A low-loss cylindrically
 anisotropic material can also be achieved by metallic inclusions
 in a hollow core dielectric cylinder.
 
+
+It should be noted that the polar dielectric permittivities are
+ill defined at the center and any practical realization of
+cylindrical anisotropy, such as metamaterial structures, can only
+closely approximate the desired dielectric permittivities away
+from the center (when $r \geq \lambda $). However, numerical
+simulations show that the effective medium description is adequate
+and that the hyperlens functions even in the case where the inner radius is no greater than a wavelength.\cite{JacobAlekseyevNarimanov2006} The
+hyperlens functions in the channeling regime where a smaller inner
+radius aids in higher resolution.
+
+
 \begin{figure}[t]
 \centering
 \scalebox{0.34}{\includegraphics{fig2_metacylinder.pdf}}\\
@@ -848,18 +860,6 @@ Ref.~\inlinecite{JacobAlekseyevNarimanov2006}.]}
 
 
 
-It should be noted that the polar dielectric permittivities are
-ill defined at the center and any practical realization of
-cylindrical anisotropy, such as metamaterial structures, can only
-closely approximate the desired dielectric permittivities away
-from the center (when $r \geq \lambda $). However, numerical
-simulations show that the effective medium description is adequate
-and that the hyperlens functions even in the case where the inner radius is no greater than a wavelength.\cite{JacobAlekseyevNarimanov2006} The
-hyperlens functions in the channeling regime where a smaller inner
-radius aids in higher resolution.
-
-
-
 
  As before, we focus on extraordinary waves (TM
 modes, with the magnetic field along the axis of the cylinder).
@@ -967,7 +967,7 @@ image (e.g., further magnification) by conventional optics.
 
 
 
-\begin{figure}
+\begin{figure}[t]
 \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
@@ -987,17 +987,6 @@ Ref.~\inlinecite{JacobAlekseyevNarimanov2006}.]}
 
 \subsubsection{Semiclassical treatment}
 
-\begin{figure}[tb]
-\centering \scalebox{0.54}{\includegraphics{fig1_spiral_2.pdf}}
-\caption{Trajectories of two  rays incident on the hyperlens with
-different impact parameters, calculated using the analytical
-expression in Eqs.~(\ref{semiclassical_eq}--\ref{semiclassical_eq_theta0}). (a) $\eta$ = 0.1. (b) $\eta$ =0.5.  Note the strong
-spiraling behavior. (c) ``Channeling regime'' for large $\eta$ ($\eta$ =100),
-where rays travel in straight lines radially. Note that all rays
-travel towards the center.   [From
-Ref.~\inlinecite{JacobNarimanov2007}.]} \label{spiral}
-\end{figure}
-
 The above results were obtained by numerically propagating fields
 through the cylindrical layered structure.  There exists, however,
 an analytic approach to analyzing light propagation in the
@@ -1082,6 +1071,19 @@ choose an inner radius of $\lambda$, outer radius $7\lambda$,
 thickness of layers $\lambda/100$, $N=600$ layers, and impact
 parameter $\rho=2.4\lambda$ at an operating wavelength of 700~nm.
 
+
+\begin{figure}[tb]
+\centering \scalebox{0.54}{\includegraphics{fig1_spiral_2.pdf}}
+\caption{Trajectories of two  rays incident on the hyperlens with
+different impact parameters, calculated using the analytical
+expression in Eqs.~(\ref{semiclassical_eq}--\ref{semiclassical_eq_theta0}). (a) $\eta$ = 0.1. (b) $\eta$ =0.5.  Note the strong
+spiraling behavior. (c) ``Channeling regime'' for large $\eta$ ($\eta$ =100),
+where rays travel in straight lines radially. Note that all rays
+travel towards the center.   [From
+Ref.~\inlinecite{JacobNarimanov2007}.]} \label{spiral}
+\end{figure}
+
+
 \begin{figure}[t]
 \centering
 \scalebox{0.4}{\includegraphics{semiclass_gaussian.pdf}}

diff --git a/semiclass_gaussian.pdf b/semiclass_gaussian.pdf
index 629f918..4508fdf 100755 (executable)
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