From: U-LEO-FUJITSU-XP\Leo Date: Thu, 25 Jun 2009 01:00:29 +0000 (-0400) Subject: Semiclassical gaussian image had (abc) labels made larger to correlate with the previ... X-Git-Url: http://www.dnquark.com/git/?a=commitdiff_plain;h=ed7e567d330eabac5f7681b5deb396a56d57c899;p=spie_book.git Semiclassical gaussian image had (abc) labels made larger to correlate with the previous (spiral) figure; figures were moved around a bit; hl imaging figure got move to top of page --- diff --git a/anisotropic_nim_subsects_5.tex b/anisotropic_nim_subsects_5.tex index 611e067..903dde2 100755 --- 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 Binary files a/semiclass_gaussian.pdf and b/semiclass_gaussian.pdf differ