%%% ======================================================================
%%%  @LaTeX-style-file{
%%%     filename        = "osa.sty",
%%%     version         = "3.0",
%%%     date            = "November 10, 1992",
%%%     ISO-date        = "1992.11.10",
%%%     time            = "15:41:54.18 EST",
%%%     author          = "Optical Society of America",
%%%     contact         = "Frank E. Harris",
%%%     address         = "Optical Society of America
%%%                        2010 Massachusetts Ave., N.W.
%%%                        Washington, D.C.  20036-1023",
%%%     email           = "fharris@pinet.aip.org (Internet)",
%%%     telephone       = "(202) 416-1903",
%%%     FAX             = "(202) 416-6120",
%%%     supported       = "yes",
%%%     archived        = "pinet.aip.org/pub/revtex,
%%%                        Niord.SHSU.edu:[FILESERV.REVTEX]",
%%%     keywords        = "REVTeX, version 3.0, style file, Optical
%%%                        Society of America",
%%%     codetable       = "ISO/ASCII",
%%%     checksum        = "57660 1040 1749 30013",
%%%     docstring       = "This is a society-specific style file for OSA
%%%                        journals under REVTeX 3.0.
%%%
%%%                        The checksum field above contains a CRC-16
%%%                        checksum as the first value, followed by the
%%%                        equivalent of the standard UNIX wc (word
%%%                        count) utility output of lines, words, and
%%%                        characters.  This is produced by Robert
%%%                        Solovay's checksum utility."
%%% }
%%% ======================================================================
% ******* Start of file osa.sty *******
%
% Copyright (c) 1992, Optical Society of America.
%
%   This is one of the files of the release version of the OSA macros for
% REVTEX 3.0. REVTEX 3.0 is being developed by cooperation between the AAS,
% AGU, AIP, APS, and OSA.
%
%
% Support is available weekdays, 8:45 am--4:30 pm, East coast(USA) time.
%
%     Frank Harris
%     Optical Society of America
%     2010 Massachusetts Ave. N.W.
%     Washington D.C. 20036-1023
%     (202) 416-1903 (phone)
%     (202) 416-6120 (fax)
%     fharris@aip.org (Internet)
%
%
%

\typeout{Filename: osa.sty, v1.0 <November 20, 1992>}

\def\partname{Part}
\def\contentsname{Contents}
\def\listfigurename{List of Figures}
\def\listtablename{List of Tables}
\def\indexname{Index}
\def\figurename{Fig.}
\def\tablename{Table}
\def\abstractname{Abstract}

\newif\iffirstfig \global\firstfigtrue
\newif\iffirsttab \global\firsttabtrue

\def\@tempa{aplop}
\ifx\@journal\@tempa
   \def\refname{\bf References} %
   \def\acknowledgments{\section*{}}  %
\else
   \def\refname{\large\bf REFERENCES}
   \def\acknowledgments{\section*{ACKNOWLEDGMENTS}}
\fi

\def\tightenlines{\def\baselinestretch{1}\small\normalsize}

\ifx\selectfont\undefined %
\@revmess{message}{NFSS not detected. Assuming OFSS.}
\let\reset@font\relax
\def\mathhexbox{\protect\mathhexbox@}
\def\mathhexbox@#1#2#3{\relax
\ifmmode\mathpalette{}{\m@th\mathchar"#1#2#3}%
\else\leavevmode\hbox{$\m@th\mathchar"#1#2#3$}\fi}
\def\text#1{%
\relax
\ifmmode %
\mathchoice
{\hbox{\everymath{\displaystyle}\rm #1}}%
{\hbox{\everymath{\textstyle}\rm #1}}%
{\hbox{\everymath{\scriptstyle}%
\def\prm{\fam\z@ \the\scriptfont\z@ \relax}%
\def\pit{\fam\itfam \the\scriptfont\itfam \relax}%
\rm #1}%
}%
{\hbox{\everymath{\scriptscriptstyle}%
\def\prm{\fam\z@ \the\scriptscriptfont\z@ \relax}%
\def\pit{\fam\itfam \the\scriptscriptfont\itfam \relax}%
\rm #1}%
}%
\else %
\leavevmode\hbox{#1}%
\fi
}
\def\bbox#1{%
\leavevmode\text{%
\textfont0 \the\textfont\bffam
\scriptfont0 \the\scriptfont\bffam
\scriptscriptfont0 \the\scriptscriptfont\bffam
\@temptokena\everymath \boldmath \everymath\@temptokena
{$\m@th\relax#1$}%
}%
}
\font\fivbf=cmbx5 \font\sixbf=cmbx6 \font\sevbf=cmbx7 \font\egtbf=cmbx8
\expandafter\def\expandafter\ixpt\expandafter{\ixpt
\scriptfont\bffam\sixbf \scriptscriptfont\bffam\fivbf}
\expandafter\def\expandafter\xpt\expandafter{\xpt
\scriptfont\bffam\sevbf \scriptscriptfont\bffam\fivbf}
\expandafter\def\expandafter\xipt\expandafter{\xipt
\scriptfont\bffam\egtbf \scriptscriptfont\bffam\sixbf}
\expandafter\def\expandafter\xiipt\expandafter{\xiipt
\scriptfont\bffam\egtbf \scriptscriptfont\bffam\sixbf}
\expandafter\def\expandafter\xivpt\expandafter{\xivpt
\scriptfont\bffam\tenbf \scriptscriptfont\bffam\sevbf}
\else   %
\@revmess{message}{NFSS detected! Assuming NFSS.}
\def\text#1{%
\relax\ifmmode
\mathchoice
{\hbox{{\everymath{\displaystyle}#1}}}%
{\hbox{{\everymath{\textstyle}#1}}}%
{\hbox{{\everymath{\scriptstyle}\let\f@size\sf@size\selectfont#1}}}%
{\hbox{{\everymath{\scriptscriptstyle}\let\f@size\ssf@size\selectfont#1}}}%
\glb@settings
\else
\mbox{#1}%
\fi
}
\def\bbox#1{%
\relax\ifmmode
\mathchoice
{{\hbox{\boldmath$\displaystyle#1$}}}%
{{\hbox{\boldmath$\textstyle#1$}}}%
{{\hbox{\boldmath$\scriptstyle#1$}}}%
{{\hbox{\boldmath$\scriptscriptstyle#1$}}}%
\glb@settings
\else
\mbox{#1}%
\fi
}
\def\mathhexbox{\protect\mathhexbox@}
\def\mathhexbox@#1#2#3{\relax
\ifmmode\mathpalette{}{\m@th\mathchar"#1#2#3}%
\else\leavevmode\hbox{$\m@th\mathchar"#1#2#3$}\fi}
\fi

\input osa1\@ptsize.sty\relax   %

\def\@chuckoptarg[#1]{}

\def\labelenumi{\theenumi.}
\def\theenumi{\arabic{enumi}}

\def\labelenumii{(\theenumii)}
\def\theenumii{\alph{enumii}}
\def\p@enumii{\theenumi}

\def\labelenumiii{\theenumiii.}
\def\theenumiii{\roman{enumiii}}
\def\p@enumiii{\theenumi(\theenumii)}

\def\labelenumiv{\theenumiv.}
\def\theenumiv{\Alph{enumiv}}
\def\p@enumiv{\p@enumiii\theenumiii}

\def\labelitemi{$\m@th\bullet$}
\def\labelitemii{\bf --}
\def\labelitemiii{$\m@th\ast$}
\def\labelitemiv{$\m@th\cdot$}

\def\verse{\let\\=\@centercr
  \list{}{\itemsep\z@ \itemindent -1.5em\listparindent \itemindent
          \rightmargin\leftmargin\advance\leftmargin 1.5em}\item[]}
\let\endverse\endlist

\def\quotation{\list{}{\listparindent 1.5em
    \itemindent\listparindent
    \rightmargin\leftmargin \parsep \z@ plus\p@}\item[]}
\let\endquotation=\endlist

\def\quote{\list{}{\rightmargin\leftmargin}\item[]}
\let\endquote=\endlist

\def\descriptionlabel#1{\hspace\labelsep \bf #1}
\def\description{\list{}{\labelwidth\z@ \itemindent-\leftmargin
       \let\makelabel\descriptionlabel}}

\let\enddescription\endlist

\def\titlepage{\@restonecolfalse\if@twocolumn\@restonecoltrue\onecolumn
     \else \newpage \fi \thispagestyle{empty}\c@page\z@}

\def\endtitlepage{\if@restonecol\twocolumn \else \newpage \fi}

\arraycolsep 3pt
\tabcolsep 2pt
\arrayrulewidth .4pt
\doublerulesep 2pt

\tabbingsep \labelsep

\skip\@mpfootins = \skip\footins

\fboxsep = 3pt
\fboxrule = .4pt

\newcounter{part}
\newcounter{section}
\newcounter{subsection}[section]
\newcounter{subsubsection}[subsection]
\newcounter{paragraph}[subsubsection]
\newcounter{subparagraph}[paragraph]

\def\thepart          {\Roman{part}}
\def\thesection       {\arabic{section}}
\def\p@section        {}
\def\thesubsection    {\Alph{subsection}}
\def\p@subsection     {\thesection\,}
\def\thesubsubsection {\arabic{subsubsection}}
\def\p@subsubsection  {\thesection\,\thesubsection\,}
\def\theparagraph     {\alph{paragraph}}
\def\thesubparagraph  {\theparagraph.\arabic{subparagraph}}


\def\@sect#1#2#3#4#5#6[#7]#8{\ifnum #2>\c@secnumdepth
     \let\@svsec\@empty\else
     \refstepcounter{#1}%
     \def\@tempa{#8}%
     \ifx\@tempa\empty %
       \ifappendixon %
         \if@mainhead %
           \def\@tempa{Appendix }\def\@tempb{}%
         \else %
           \def\@tempa{}\def\@tempb{. }%
         \fi
       \else    %
         \def\@tempa{}\def\@tempb{. }%
       \fi
     \else %
       \ifappendixon %
         \if@mainhead %
           \def\@tempa{Appendix }\def\@tempb{: }%
         \else %
           \def\@tempa{}\def\@tempb{. }%
         \fi
       \else    %
         \def\@tempa{}\def\@tempb{. }%
       \fi
     \fi
     \edef\@svsec{\@tempa\csname the#1\endcsname\@tempb}\fi
     \@tempskipa #5\relax
      \ifdim \@tempskipa>\z@
        \begingroup #6\relax
          \@hangfrom{\hskip #3\relax\@svsec}{\interlinepenalty \@M #8}%
        \endgroup
       \csname #1mark\endcsname{#7}\addcontentsline
         {toc}{#1}{\ifnum #2>\c@secnumdepth \else
                      \protect\numberline{\csname the#1\endcsname}\fi
                    #7}\else
        \def\@svsechd{#6\hskip #3\relax  %%
                   \@svsec #8\csname #1mark\endcsname
                      {#7}\addcontentsline
                           {toc}{#1}{\ifnum #2>\c@secnumdepth \else
                             \protect\numberline{\csname the#1\endcsname}\fi
                       #7}}\fi
     \@xsect{#5}}

\def\@ssect#1#2#3#4#5{\@tempskipa #3\relax
   \ifdim \@tempskipa>\z@
     \begingroup #4\@hangfrom{\hskip #1}{\interlinepenalty \@M
     \ifappendixon
       \if@mainhead %
         \stepcounter{section}%
         \def\@tempa{#5}%
         \ifx\@tempa\empty %
           Appendix%
         \else %
           Appendix:
         \fi
       \fi
     \fi
     #5}\endgroup
   \else \def\@svsechd{#4\hskip #1\relax
     \ifappendixon
       \if@mainhead %
         \stepcounter{section}%
         \def\@tempa{#5}%
         \ifx\@tempa\empty %
           Appendix%
         \else %
           Appendix:
         \fi
       \fi
     \fi
     #5}\fi
    \@xsect{#3}}

\def\part{\par
   \addvspace{4ex}
   \@afterindentfalse
   \secdef\@part\@spart}

\def\@part[#1]#2{\ifnum \c@secnumdepth >\m@ne
        \refstepcounter{part}
        \addcontentsline{toc}{part}{\thepart
        \hspace{1em}#1}\else
      \addcontentsline{toc}{part}{#1}\fi
   {\parindent \z@ \raggedright
    \interlinepenalty\@M
    \ifnum \c@secnumdepth >\m@ne
      \Large \bf \partname~\thepart%
      \par\nobreak
    \fi
    \huge \bf
    #2%
    \markboth{}{}\par
   }\nobreak
   \vskip 3ex
   \@afterheading
  }

\def\@spart#1{{\parindent \z@ \raggedright
    \interlinepenalty\@M
    \huge \bf
    #1\par}
    \nobreak
    \vskip 3ex
    \@afterheading
  }

\newskip\@indentwidth \@indentwidth=18.4pt
\newcount\@indentflag \global\@indentflag=1
\def\@eqtoeqnum{6pt\relax}
\ifpreprintsty % preprint; FL, FR don't work, equations are flush left.
%  \let\@indentamount=\@centering
  \def\@indentamount{0pt}
  \let\FL=\relax
  \let\FR=\relax
\else
  \def\@indentamount{%
      \ifcase\@indentflag 0pt\or\@indentwidth\or0pt plus1fil\fi\relax}
  \def\FL{\global\@indentflag=0 }
  \def\FR{\global\@indentflag=2 }
\fi

\newcounter{eqletter} \setcounter{eqletter}{0}

\def\@eqnnum{\hbox{\reset@font\rm(\theequation)}}
\let\make@eqnnum=\@eqnnum %
\def\eqnum#1{\dec@eqnnum \global\def\make@eqnnum{\reset@font\rm(#1)}%
  \def\@currentlabel{#1}%
}
\def\inc@eqnnum{\addtocounter{equation}{1}}
\def\dec@eqnnum{\addtocounter{equation}{-1}}
\@definecounter{equation}%
\ifsecnumbers %
  \@addtoreset{equation}{section}
  \def\theequation@prefix{\arabic{section}.}
\else
  \def\theequation@prefix{}
\fi

\def\theequation{\theequation@prefix\arabic{equation}}%

\def\mathletters{%
     \inc@eqnnum  \setcounter{eqletter}{0}%
     \edef\@currentlabel{\theequation}%
     \def\theequation{\theequation@prefix\arabic{equation}\alph{eqletter}}%
     \def\inc@eqnnum{\addtocounter{eqletter}{1}}%
     \def\dec@eqnnum{\addtocounter{eqletter}{-1}}%
}

\let\endmathletters\relax

\def\[{\relax
  \ifmmode\@badmath\else\par\vskip-\lastskip\vskip\abovedisplayskip\fi
  \hbox to\hsize\bgroup
  \def\label##1{\@revmess{warning}{\string\label{##1} used
   in \string\[\space environment after (\theequation)}}%
  \hskip\@totalleftmargin\hskip\@indentamount$\displaystyle
}

\def\]{\relax
  \ifmmode
    $\hskip\@centering\egroup
    \else
    \@badmath
  \fi
  \vskip\belowdisplayskip
  \global\@indentflag=1 %
  \noindent\ignorespaces
}

\newbox\@testboxa
\newbox\@testboxb

\def\equation{\par\vskip-\lastskip\vskip\abovedisplayskip
  \inc@eqnnum\let\@currentlabel=\theequation
  \setbox\@testboxa=\hbox\bgroup\hskip\@totalleftmargin\hskip\@indentamount
  $\displaystyle
}

\def\endequation{$\hskip\@centering\egroup %
 \setbox\@testboxb=\hbox{\unhcopy\@testboxa\kern\@eqtoeqnum\make@eqnnum}%
 \ifdim\wd\@testboxb>\hsize %
   \vbox{\hbox to\hsize{\unhbox\@testboxa}%
         \hbox to\hsize{\hfil\make@eqnnum}}%
 \else %
   \hbox to\hsize{\unhbox\@testboxb}%
 \fi
 \global\let\make@eqnnum\@eqnnum %
 \vskip\belowdisplayskip\noindent\global\@indentflag=1 \global\@ignoretrue
}

\def\eqnarray{\par\vskip-\lastskip\vskip\abovedisplayskip
\inc@eqnnum\let\@currentlabel=\theequation
\global\@eqnswtrue\m@th
\global\@eqcnt\z@
\tabskip\@totalleftmargin\advance\tabskip by\@indentamount\let\\\@eqncr
\halign to\hsize\bgroup\hskip\@centering
  $\displaystyle\tabskip\z@{##}$&\global\@eqcnt\@ne
  \hfil${{}##{}}$\hfil
  &\global\@eqcnt\tw@ $\displaystyle\tabskip\z@{##}$\hfil
   \tabskip\@centering \if@eqnsw\phantom{\make@eqnnum\kern\@eqtoeqnum}\fi
            &\llap{##}\tabskip\z@\cr}

\def\endeqnarray{%
  \@@eqncr\egroup
  \vskip\belowdisplayskip\noindent
  \dec@eqnnum\global\@indentflag=1
  \global\let\make@eqnnum\@eqnnum %
  \global\@ignoretrue
}

\def\nonumber{\global\@eqnswfalse
\def\label##1{\@revmess{error}{\string\label{##1} used
              with \string\nonumber\space before (\theequation)}}%
}

\def\@@eqncr{\let\@tempa\relax
    \ifcase\@eqcnt \def\@tempa{& & &}\or \def\@tempa{& &}%
      \else \def\@tempa{&}\fi
     \@tempa \if@eqnsw\make@eqnnum\inc@eqnnum\fi
     \global\@eqnswtrue\global\@eqcnt\z@\global\let\make@eqnnum=\@eqnnum\cr
}

\@namedef{eqnarray*}{\def\@eqncr{\nonumber\@seqncr}%
\def\label##1{\@revmess{warning}{\string\label{##1} used
 in eqnarray* environment before (\theequation)}}%
\eqnarray}

\def\@pnumwidth{1.55em}
\def\@tocrmarg {2.55em}
\def\@dotsep{4.5}
\setcounter{tocdepth}{3}

\def\tableofcontents{\section*{\contentsname
        \@mkboth{\uppercase{\contentsname}}{\uppercase{\contentsname}}}%
  \@starttoc{toc}}

\def\l@part#1#2{\addpenalty{\@secpenalty}%
   \addvspace{2.25em plus\p@}%
   \begingroup
   \@tempdima 3em
     \parindent \z@ \rightskip \@pnumwidth
     \parfillskip -\@pnumwidth
     {\large \bf
     \leavevmode
     #1\hfil \hbox to\@pnumwidth{\hss #2}}\par
     \nobreak
   \endgroup}

\def\l@section#1#2{\addpenalty{\@secpenalty}%
   \addvspace{1.0em plus\p@}%
   \@tempdima 1.5em
   \begingroup
     \parindent \z@ \rightskip \@pnumwidth
     \parfillskip -\@pnumwidth
     \bf
     \leavevmode
      \advance\leftskip\@tempdima
      \hskip -\leftskip
     #1\nobreak\hfil \nobreak\hbox to\@pnumwidth{\hss #2}\par
   \endgroup}

\def\l@subsection{\@dottedtocline{2}{1.5em}{2.3em}}
\def\l@subsubsection{\@dottedtocline{3}{3.8em}{3.2em}}
\def\l@paragraph{\@dottedtocline{4}{7.0em}{4.1em}}
\def\l@subparagraph{\@dottedtocline{5}{10em}{5em}}

\def\listoffigures{\section*{\listfigurename
    \@mkboth{\uppercase{\listfigurename}}{\uppercase{\listfigurename}}}%
  \@starttoc{lof}}

\def\l@figure{\@dottedtocline{1}{1.5em}{2.3em}}

\def\listoftables{\section*{\listtablename\@mkboth
   {\uppercase{\listtablename}}{\uppercase{\listtablename}}}%
  \@starttoc{lot}}
\let\l@table\l@figure

\def\@tempa{osa} %
\def\tempa{\input osabib.sty} %
\tempa

\newif\if@restonecol

\def\theindex{\@restonecoltrue\if@twocolumn\@restonecolfalse\fi
\columnseprule \z@
\columnsep 35\p@\twocolumn[\section*{\indexname}]%
    \@mkboth{\uppercase{\indexname}}{\uppercase{\indexname}}%
    \thispagestyle{plain}\parindent\z@
    \parskip\z@ plus.3\p@\relax\let\item\@idxitem}

\def\@idxitem{\par\hangindent 40\p@}

\def\subitem{\par\hangindent 40\p@ \hspace*{20\p@}}

\def\subsubitem{\par\hangindent 40\p@ \hspace*{30\p@}}

\def\endtheindex{\if@restonecol\onecolumn\else\clearpage\fi}

\def\indexspace{\par \vskip 10\p@ plus5\p@ minus3\p@\relax}

\long\def\@makefntext#1{\parindent 5pt\hsize\columnwidth\parskip0pt\relax
 \small\def\strut{\vrule width0pt height0pt depth1.75pt\relax}%
 $\m@th^{\@thefnmark}$#1}

\def\thefootnote{\fnsymbol{footnote}}

\def\@fnsymbol#1{\ifcase#1\or *\or \dagger\or \ddagger\or
   \mathchar "278\or **\or \dagger\dagger
   \or \ddagger\ddagger \or \mathchar "278 \mathchar "278\or
   ***\or\dagger\dagger\dagger\or\ddagger\ddagger\ddagger\or
   \mathchar "278 \mathchar "278 \mathchar "278
   \else\@ctrerr\fi\relax}

\setcounter{topnumber}{2}
\def\topfraction{.7}
\setcounter{bottomnumber}{1}
\def\bottomfraction{.3}
\setcounter{totalnumber}{3}
\def\textfraction{.2}
\def\floatpagefraction{.5}
\setcounter{dbltopnumber}{2}
\def\dbltopfraction{.7}
\def\dblfloatpagefraction{.5}

\long\def\@makecaption#1#2{%
  \setbox\@testboxa\hbox{\outertabfalse %
    \reset@font\small\rm#1\penalty10000\hskip4pt plus2pt\ignorespaces#2%
  }% eo hbox
  \setbox\@testboxb\vbox{\hsize\@capwidth
    \ifdim\wd\@testboxa<\hsize  %
      \hbox to\hsize{\box\@testboxa\hfil}%
    \else % reset as a paragraph
      \small
      \parindent \ifpreprintsty 0pt \else 1em \fi  %
      \unhbox\@testboxa\par
    \fi
  }%
  \box\@testboxb
} %

\newcounter{figure}
\def\thefigure{\@arabic\c@figure}

\def\fps@figure{tbp}
\def\ftype@figure{1}
\def\ext@figure{lof}
\def\fnum@figure{\figurename\penalty10000\
    \thefigure.\hskip1em}

\def\figure{%
    \let\@capwidth\columnwidth
    \ifpreprintsty\iffirstfig
      {\newpage\centerline{FIGURES}}\global\firstfigfalse
    \fi\fi
    \vskip1pc
    \def\@captype{figure}%
    \interlinepenalty10000 %
    \@ifnextchar[{\@chuckoptarg}{}%
  }%
  \def\endfigure{\goodbreak\vskip1pc}%
  \@namedef{figure*}{\figure}%
  \@namedef{endfigure*}{\endfigure}%
%

\newcounter{table}
\def\thetable{\@arabic\c@table} %

{\catcode`\.=13 %
\gdef.{\relax\egroup\def\@flag{1}\setbox1\hbox\bgroup}%
}%

\def\fps@table{tbp}
\def\ftype@table{2}
\def\ext@table{lot}
\def\fnum@table{\tablename\kern.33em\thetable.}
\if@floats
\else %
  \def\table{%
    \let\@capwidth\columnwidth
    \iffirsttab
      \global\firsttabfalse
      \ifpreprintsty{\newpage\centerline{TABLES}}\fi
    \fi
    \vskip1pc
    \global\tableontrue
    \bgroup\parindent=0pt
    \outertabtrue
    \setcounter{tablenote}{0}%
    \def\@captype{table}%
    \@ifnextchar[{\@chuckoptarg}{}%
  }%
  \def\endtable{%
    \global\tableonfalse\global\outertabfalse
    {\let\protect\relax\small\vskip2pt\leftskip = 1em\@tablenotes%
    \par}\xdef\@tablenotes{}%
    \egroup
    \vskip1pc plus 1filll \penalty-200 \vskip0pt plus -1filll
  }%
\@namedef{table*}{\table}
\@namedef{endtable*}{\endtable}
\fi

\@definecounter{tablenote}
\def\thetablenote{\it\alph{tablenote}}   %
\def\@tablenotes{}

\def\@maketnmark{\leavevmode\hbox{$^{\reset@font\rm\@thetnmark}\m@th$}}

\def\tablenote{\@ifnextchar[{\@xtablenote}{\stepcounter{tablenote}%
   \begingroup \def\protect{\noexpand\protect\noexpand}%
    \xdef\@thetnmark{\thetablenote}\endgroup    %
   \@tablenotemark\@tablenotetext}}

\def\@xtablenote[#1]{\begingroup \c@tablenote #1\relax
   \def\protect{\noexpand\protect\noexpand}%
    \xdef\@thetnmark{\thetablenote}\endgroup
   \@tablenotemark\@tablenotetext}

\long\def\@tablenotetext#1{%
  \bgroup
    \def\protect{\noexpand\protect\noexpand}%
    \edef\@tempa{\@maketnmark}%
    \expandafter\expandafter\expandafter
    \gdef
    \expandafter\expandafter\expandafter
    \@tablenotes
    \expandafter\expandafter\expandafter
      {\expandafter\@tablenotes\expandafter\par\@tempa#1}%
  \egroup
}

\def\tablenotemark{\@ifnextchar[{\@xtablenotemark}{\stepcounter{tablenote}%
   \begingroup\def\protect{\noexpand\protect\noexpand}%
   \xdef\@thetnmark{\thetablenote}\endgroup
   \@tablenotemark}}

\def\@xtablenotemark[#1]{\begingroup \c@tablenote #1\relax
    \def\protect{\noexpand\protect\noexpand}%
   \xdef\@thetnmark{\thetablenote}\endgroup \@tablenotemark}

\def\@tablenotemark{\leavevmode\ifhmode
  \edef\@x@sf{\the\spacefactor}\fi \@maketnmark
   \ifhmode\spacefactor\@x@sf\fi\relax}

\def\tablenotetext{\@ifnextchar [{\@xtablenotetext}%
   {\begingroup
    \def\protect{\noexpand\protect\noexpand}%
      \xdef\@thetnmark{\thetablenote}\endgroup
    \@tablenotetext}}

\def\@xtablenotetext[#1]{\begingroup \c@tablenote #1\relax
    \def\protect{\noexpand\protect\noexpand}%
   \xdef\@thetnmark{\thetablenote}\endgroup \@tablenotetext}

\def\tableline{\noalign{\vskip2pt\hrule\vskip2pt}}

\newdimen\@Ldec \newdimen\@Rdec

\def\dec #1.#2 {\hbox to\@Ldec{\hss#1}\def\test{#2}%
\ifx\test\empty\hbox to\@Rdec{\hfill}\else\hbox to\@Rdec{.#2\hss}\fi
}

\def\setdec #1.#2 {\relax%
  \bgroup
    \setbox0\hbox{\kern1pt\relax#1}\setbox1\hbox{\kern1pt\relax#2}%
    \global\@Ldec\wd0\global\@Rdec\wd1%
  \egroup
}

\setdec 000.000 %

\def\savecaption{}

\def\apstable@array[#1]#2{\setbox\@arstrutbox=\hbox{\vrule
     height\arraystretch \ht\strutbox
     depth\arraystretch \dp\strutbox
     width\z@}\@mkpream{#2}\edef\@preamble{\tabskip\z@ plus 1fil\halign
 to\@capwidth%
\bgroup \tabskip\z@ plus1fill \@arstrut
\@preamble\hskip-\tabcolsep \tabskip\z@ plus 1fil
 \cr}%
\let\@startpbox\@@startpbox \let\@endpbox\@@endpbox%
  \bgroup\let\par\relax\outertabfalse%
  \let\@sharp##\let\protect\relax
  \def\@startcenterdot{\begingroup
    \relax\def\@flag{0 }\catcode`\.=13
    \setbox0\hbox\bgroup\ignorespaces}%
  \def\@endcenterdot{\unskip\egroup\catcode`\.=12
    \ifnum\@flag=0 %
     \box0
    \else %
      \ifdim\wd0=0pt %
        \setbox0\hbox to\wd1{\hss 0}\box0.\box1
      \else
        \ifdim\wd1=0pt %
          \setbox1=\hbox{\phantom{.\copy0}}\box0\box1
        \else %
          \ifdim\wd0>\wd1
            \setbox1\hbox to\wd0{\box1\hfil}%
          \else
            \setbox0\hbox to\wd1{\hfil\box0}%
          \fi
          \box0.\box1
        \fi
      \fi
    \fi
  \endgroup}%
  \lineskip\z@\baselineskip\z@\@preamble}

\def\@array[#1]#2{\setbox\@arstrutbox=\hbox{\vrule
     height\arraystretch \ht\strutbox
     depth\arraystretch \dp\strutbox
     width\z@}\@mkpream{#2}\edef\@preamble{\halign\noexpand\@halignto
\bgroup\tabskip\z@\@arstrut\@preamble
\tabskip\z@\cr}%
\let\@startpbox\@@startpbox \let\@endpbox\@@endpbox%
  \if #1t\vtop \else \if#1b\vbox \else \vcenter \fi\fi%
  \bgroup\let\par\relax%
  \let\@sharp##\let\protect\relax
  \def\@startcenterdot{\begingroup
    \relax\def\@flag{0 }\catcode`\.=13
    \setbox0\hbox\bgroup\ignorespaces}%
  \def\@endcenterdot{\unskip\egroup\catcode`\.=12
    \ifnum\@flag=0 %
     \box0
    \else %
      \ifdim\wd0=0pt %
        \setbox0\hbox to\wd1{\hss 0}\box0.\box1
      \else
        \ifdim\wd1=0pt %
          \setbox1=\hbox{\phantom{.\copy0}}\box0\box1
        \else %
          \ifdim\wd0>\wd1
            \setbox1\hbox to\wd0{\box1\hfil}%
          \else
            \setbox0\hbox to\wd1{\hfil\box0}%
          \fi
          \box0.\box1
        \fi
      \fi
    \fi
  \endgroup}%
  \lineskip\z@\baselineskip\z@\@preamble}

\def\@arrayclassz{\ifcase \@lastchclass \@acolampacol \or \@ampacol \or
   \or \or \@addamp \or
   \@acolampacol \or \@firstampfalse \@acol \fi
\edef\@preamble{\@preamble
  \ifcase \@chnum
     \hfil$\relax\@sharp$\hfil \or $\relax\@sharp$\hfil
    \or \hfil$\relax\@sharp$\or
     \hfil$\relax\@sharp$\hfil \fi}}

\def\@tabclassz{\ifcase \@lastchclass\@acolampacol
\or \@ampacol \or \or \or \@addamp \or \@acolampacol\or
\@firstampfalse \new@tabacol \fi
\edef\@preamble{\@preamble{%
  \ifcase \@chnum
     \hfil\ignorespaces\@sharp\unskip\hfil
     \or \ignorespaces\@sharp\unskip\hfil
     \or \hfil\hskip\z@ \ignorespaces\@sharp\unskip
     \or\hfil\@startcenterdot\@sharp\@endcenterdot\hfil
     \fi}}}

\def\@tabclassiv{\@addtopreamble\@nextchar}

\let\tabbodyfont\small
\def\squeezetable{\let\tabbodyfont\scriptsize}

\def\tabular{\def\@halignto{}\@tabular}

\newif\ifoutertab
\global\outertabfalse

\def\@tabular{%
  \ifoutertab
    \tabbodyfont\global\@newlistfalse\bgroup
  \else
    \leavevmode\hbox\bgroup$%
  \fi
  \let\@acol\@tabacol
  \let\@classz\@tabclassz
  \let\@classiv\@tabclassiv \let\\\@tabularcr
  \ifoutertab
    \vskip18pt\hrule width\@capwidth\vskip2pt
    \expandafter\apstable@tabarray
  \else
    \expandafter\@tabarray
  \fi
}

\def\apstable@tabarray{%
 \m@th\@ifnextchar[{\apstable@array}{\apstable@array[c]}%
}

\def\endtabular{\crcr\egroup\egroup
  \ifoutertab
    \vskip3pt\hrule width\@capwidth\vskip2pt
  \else
    $%
  \fi \egroup
}

\def\new@tabacol{\edef\@preamble{\@preamble \hskip0pt%
}}

\newif\iftableon

\def\@mkpream#1{\@firstamptrue\@lastchclass6
\def\@preamble{}%
\def\protect{\noexpand\protect\noexpand}\let\@sharp\relax
\let\@startpbox\relax\let\@endpbox\relax
\let\@startcenterdot\relax \let\@endcenterdot\relax
\@expast{#1}\expandafter\@tfor \expandafter
  \@nextchar \expandafter:\expandafter=\@tempa\do{\@testpach\@nextchar
  \ifcase \@chclass \@classz \or \@classi \or \@classii \or \@classiii
    \or \@classiv \or\@classv \fi%
\iftableon\ifoutertab %
  \ifnum\@chclass=4
    \@addtopreamble{\tabskip\z@}%
  \else
    \ifnum\@lastchclass=4
      \@addtopreamble{\tabskip\z@ plus1fill}%
    \fi
  \fi
\fi\fi
\@lastchclass\@chclass}%
\ifcase \@lastchclass \@acol
    \or \or \@preamerr \@ne\or \@preamerr \tw@\or \or \@acol \fi}

\def\@testpach#1{\@chclass \ifnum \@lastchclass=\tw@ 4 \else
    \ifnum \@lastchclass=3 5 \else
     \z@ \if #1c\@chnum \z@ \else
                              \if #1l\@chnum \@ne \else
                              \if #1r\@chnum \tw@ \else
                              \if #1d\@chnum 3 \else %
          \@chclass \if #1|\@ne \else
                    \if #1@\tw@ \else
                    \if #1p3 \else \z@ \@preamerr 0\fi
  \fi  \fi  \fi  \fi  \fi  \fi \fi %
\fi}

\def\quasitable{%
  \par\vskip\topsep \bgroup
  \def\caption##1{\@revmess{warning}{Captions are not supported
  for quasitables.}\@revmess{warning}{No caption was set.}}%
  \def\tablenotes##1{\@revmess{warning}{Tablenotes are not
  supported for quasitables.}%
  \@revmess{warning}{No tablenotes were set.}}%
  \tableontrue\outertabtrue\parindent0pt\relax}

\def\endquasitable{\par\egroup\vskip\topsep\noindent
\global\@ignoretrue}

\def\@frontmaterial{} \def\@preprint{}
\def\and{\unskip, }

\def\preprint#1{%
\ifpreprintsty
\def\@preprint{\noindent\hfill\hbox{#1}\vskip 10pt}%
\fi
}

\def\title#1{\expandafter\def\expandafter\@frontmaterial\expandafter
{\@frontmaterial{\large\bf\centering\ignorespaces#1\par\vskip2pc}}}

\def\author#1{\expandafter\def\expandafter\@frontmaterial\expandafter
{\@frontmaterial{\vskip-\lastskip\vskip1pc\rm\centering\ignorespaces#1\par}}}

\def\address#1{\expandafter\def\expandafter\@frontmaterial\expandafter
{\@frontmaterial{\vskip-\lastskip\vskip.2pc%
                \small\it\centering\ignorespaces#1\par
                 \vskip1pc}}}

\def\date#1{\expandafter\def\expandafter\@frontmaterial\expandafter
{\@frontmaterial{\vskip-\lastskip\vskip1pc\rm\centering\ignorespaces#1\vskip
1pc}}}

\def\maketitle{\par
 \begingroup
   \let\cite\bylinecite
   \let\thanks\footnote
   \def\thefootnote{\fnsymbol{footnote}}%
   \if@twocolumn
     \twocolumn[\@maketitle]%
     \else \newpage
     \global\@topnum\z@   %
     \@maketitle \fi\thispagestyle{plain}\@thanks
 \endgroup
 \def\thefootnote{\arabic{footnote}}%
 \setcounter{footnote}{0}%
 \let\maketitle\relax
 \let\@maketitle\relax
 \gdef\@thanks{}\gdef\@frontmaterial{}\gdef\@title{}\let\thanks\relax}

\def\@maketitle{\@preprint\@frontmaterial\gdef\@frontmaterial{}}

\def\abstract{%
\if@twocolumn
  \section*{\abstractname}%
\else
  \par
  \ifpreprintsty
    \vskip3pc
    \begin{center}%
      {\bf\large \abstractname\par}%
    \end{center}%
  \fi
  \bgroup
    \dimen0\textwidth\advance\dimen0by-5.56in\divide\dimen0by2
    \leftskip\dimen0\rightskip\leftskip
    \small\vrule width 0pt height .6cm
    \leavevmode
\fi}

\def\endabstract{\if@twocolumn\else\par\egroup\fi}

\def\pacs#1{
  \bgroup
    \dimen0\textwidth\advance\dimen0by-5.56in\divide\dimen0by2
    \leftskip\dimen0\rightskip\leftskip\parindent0pt
    \vskip1pc
    #1\par
  \egroup
}

\mark{{}{}}   %

\if@twoside         %
 \def\ps@headings{\let\@mkboth\markboth
  \def\@oddfoot{}\def\@evenfoot{}%
  \def\@evenhead{\rm \thepage\hfil \sl \leftmark}%
  \def\@oddhead{{\sl \rightmark}\hfil \rm\thepage}%
  \def\sectionmark##1{\markboth {\uppercase{\ifnum \c@secnumdepth >\z@
    \thesection\hskip 1em\relax \fi ##1}}{}}%
  \def\subsectionmark##1{\markright {\ifnum \c@secnumdepth >\@ne
          \thesubsection\hskip 1em\relax \fi ##1}}}
\else
 \def\ps@headings{\let\@mkboth\markboth
  \def\@oddfoot{}\def\@evenfoot{}%
  \def\@oddhead{{\sl \rightmark}\hfil \rm\thepage}%
  \def\sectionmark##1{\markright {\uppercase{\ifnum \c@secnumdepth >\z@
    \thesection\hskip 1em\relax \fi ##1}}}}
\fi

\def\ps@myheadings{\let\@mkboth\@gobbletwo
 \def\@oddhead{{\sl\rightmark}\hfil \rm\thepage}%
 \def\@oddfoot{}\def\@evenhead{\rm \thepage\hfil\sl\leftmark}%
 \def\@evenfoot{}\def\sectionmark##1{}\def\subsectionmark##1{}}

\def\today{\ifcase\month\or
  January\or February\or March\or April\or May\or June\or
  July\or August\or September\or October\or November\or December\fi
  \space\number\day, \number\year}

\ps@plain
\pagenumbering{arabic}
\if@twoside\else\raggedbottom\fi %
\if@twocolumn %
  \twocolumn
  \sloppy
  \raggedbottom %
\else
  \sloppy
  \onecolumn
  \raggedbottom %
\fi

\if@titlepage
  \@@input titlepag.sty\relax
\fi

\def\ao{Appl.\  Opt.\ }
\def\ap{Appl.\  Phys.\ }
\def\apl{Appl.\ Phys.\ Lett.\ }
\def\apj{Astrophys.\ J.\ }
\def\bell{Bell Syst.\ Tech.\ J.\ }
\def\jqe{IEEE J.\ Quantum Electron.\ }
\def\assp{IEEE Trans.\ Acoust.\ Speech Signal Process.\ }
\def\aprop{IEEE Trans.\ Antennas Propag.\ }
\def\mtt{IEEE Trans.\ Microwave Theory Tech.\ }
\def\iovs{Invest.\ Ophthalmol.\ Vis.\ Sci.\ }
\def\jcp{J.\ Chem.\ Phys.\ }
\def\jmo{J.\ Mod.\ Opt.\ }
\def\josa{J.\ Opt.\ Soc.\ Am.\ }
\def\josaa{J.\ Opt.\ Soc.\ Am.\ A }
\def\josab{J.\ Opt.\ Soc.\ Am.\ B }
\def\jpp{J.\ Phys.\ (Paris) }
\def\nat{Nature (London) }
\def\oc{Opt.\ Commun.\ }
\def\ol{Opt.\ Lett.\ }
\def\pl{Phys.\ Lett.\ }
\def\pra{Phys.\ Rev.\ A }
\def\prb{Phys.\ Rev.\ B }
\def\prl{Phys.\ Rev.\ Lett.\ }
\def\pspie{Proc.\ Soc.\ Photo-Opt.\ Instrum.\ Eng.\ }
\def\sjqe{Sov.\ J.\ Quantum Electron.\ }
\def\vr{Vision Res.\ }
\endinput



%%%%% end of file OSA.STY %%%%%