diff options
Diffstat (limited to 'xmds2')
| -rw-r--r-- | xmds2/Nlevels_no_dopler_with_z_fast_and_slow_light/report/Makefile | 4 | ||||
| -rw-r--r-- | xmds2/Nlevels_no_dopler_with_z_fast_and_slow_light/report/report.tex | 84 |
2 files changed, 72 insertions, 16 deletions
diff --git a/xmds2/Nlevels_no_dopler_with_z_fast_and_slow_light/report/Makefile b/xmds2/Nlevels_no_dopler_with_z_fast_and_slow_light/report/Makefile index a2cc642..a1d036c 100644 --- a/xmds2/Nlevels_no_dopler_with_z_fast_and_slow_light/report/Makefile +++ b/xmds2/Nlevels_no_dopler_with_z_fast_and_slow_light/report/Makefile @@ -1,6 +1,6 @@ # -*- make -*- # FILE: "/home/evmik/src/my_src/Nresonances/xmds2/Nlevels_no_dopler_with_z_fast_and_slow_light/report/Makefile" -# LAST MODIFICATION: "Wed, 28 Sep 2011 17:14:37 -0400 (evmik)" +# LAST MODIFICATION: "Wed, 28 Sep 2011 17:35:55 -0400 (evmik)" # (C) 2007 by Eugeniy Mikhailov, <evgmik@gmail.com> # $Id:$ @@ -19,7 +19,7 @@ all: pdf pdf: $(pdf_targets) $(pdf_targets): %.pdf : %.tex $(includes) - pdflatex $< + rubber --pdf $< clean_latex_tmp: diff --git a/xmds2/Nlevels_no_dopler_with_z_fast_and_slow_light/report/report.tex b/xmds2/Nlevels_no_dopler_with_z_fast_and_slow_light/report/report.tex index ec8dd19..8f50a7c 100644 --- a/xmds2/Nlevels_no_dopler_with_z_fast_and_slow_light/report/report.tex +++ b/xmds2/Nlevels_no_dopler_with_z_fast_and_slow_light/report/report.tex @@ -1,12 +1,11 @@ -\documentclass{article} +\documentclass[aps,pra,twocolumn,groupedaddress,amsmath,amssymb]{revtex4} \usepackage{graphicx} \usepackage[normalem]{ulem} % needed by strike \usepackage[urlcolor=blue,colorlinks=true]{hyperref} -\usepackage{fullpage} % user defined +\begin{document} \title{N-level system: slow and fast light} \author{E. E. Mikhailov} -\begin{document} \date{2011/09/27} \maketitle %\clearpage @@ -33,28 +32,85 @@ fast (field 3 is on and strong) light, and situations in between. Below the examples of fast and slow propagation for the following set of parameters: \begin{verbatim} -G3=3.4e7 // decay rate of level |3> in 1/s -G4=3.8e7 // decay rate of level |4> in 1/s -gt=3.1416e+04 // repopulation rate in 1/s -z=1.5e-2 // cell length in m -N=1e10*(1e6); // number of particles per cubic m i.e. density -delta1=0; // field 1 one photon detuning -delta2=0; // field 2 --------//--------- -delta3=0; // field 3 --------//--------- +G3=3.4e7 // decay rate of level |3> in 1/s +G4=3.8e7 // decay rate of level |4> in 1/s +gt=3.1416e+04 // repopulation rate in 1/s +z=1.5e-2 // cell length in m +N=1e10*(1e6); // number of particles per cubic m +delta1=0; // field 1 one photon detuning +delta2=0; // field 2 --------//--------- +delta3=0; // field 3 --------//--------- \end{verbatim} +\begin{figure}[h] + \begin{center} + \includegraphics[width=1.00\columnwidth]{slow_light/fields_propagation.pdf} + \end{center} + \caption{Propagation of the fields under slow light condition} + \label{fig:3fields_slow} +\end{figure} + Slow light behavior is observed for the 1 $\backslash$mu S long Gaussian pulse and the following fields parameters - \begin{verbatim} E1=7.5e7; // field 1 Rabi frequency in 1/s E2=1; // field 2 --------//----------- E3=0; // field 3 --------//----------- \end{verbatim} fields 1 and 3 have no time dependence at the input of the cell. -light propagation -\includegraphics{slow_light/fields_propagation.png} +Propagation of all 3 fields is depicted at Fig.\ref{fig:3fields_slow} +and output beam fields profiles in comparison with input are shown at +Fig.\ref{fig:3fields_in_out_slow} +where it easy to see delayed pulse for the field 2 in the middle. + +\begin{figure}[h] + \begin{center} + \includegraphics[width=1.00\columnwidth]{slow_light/fields_before_after_cell.pdf} + \end{center} + \caption{Propagation of the fields under slow light condition} + \label{fig:3fields_in_out_slow} +\end{figure} + + +Fast light or negative group delay is observed for the similar conditions +but with field 3 switched on +\begin{verbatim} +E1=7.5e7; // field 1 Rabi frequency in 1/s +E2=1; // field 2 --------//----------- +E3=1.5e8; // field 3 --------//----------- +\end{verbatim} + +Propagation of all 3 fields is depicted at Fig.\ref{fig:3fields_fast} +and output beam fields profiles in comparison with input are shown at +Fig.\ref{fig:3fields_in_out_fast}. + +\begin{figure}[h] + \begin{center} + \includegraphics[width=1.00\columnwidth]{fast_light/fields_propagation.pdf} + \end{center} + \caption{Propagation of the fields under fast light condition} + \label{fig:3fields_fast} +\end{figure} + +\begin{figure}[h] + \begin{center} + \includegraphics[width=1.00\columnwidth]{fast_light/fields_before_after_cell.pdf} + \end{center} + \caption{Propagation of the fields under fast light condition} + \label{fig:3fields_in_out_fast} +\end{figure} + +The advancement of the pulse is very small but it could be seen on zoomed +in Fig.\ref{fig:field2_in_out_fast}. + +\begin{figure}[h] + \begin{center} + \includegraphics[width=1.00\columnwidth]{fast_light/probe_before_after_cell.pdf} + \end{center} + \caption{Propagation of the fields under fast light condition} + \label{fig:field2_in_out_fast} +\end{figure} % LaTeX2e code generated by txt2tags 2.5 (http://txt2tags.sf.net) % cmdline: txt2tags --target=tex report.t2t |