\batchmode
\documentclass{article}

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\usepackage{natbib}
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\usepackage{graphicx}
\usepackage{makeidx}
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\textwidth 460pt
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\providecommand{\PdBI}{\mbox{PdBI}}%
\providecommand{\NOEMA}{\mbox{NOEMA}}%
\providecommand{\ALMA}{\mbox{ALMA}}%
\providecommand{\aips}{\mbox{\sc aips}}%
\providecommand{\aipspp}{\mbox{\sc aips++}}%
\providecommand{\casa}{\mbox{\sc casa}}%
\providecommand{\miriad}{\mbox{\sc miriad}}%
\providecommand{\karma}{\mbox{\sc karma}}%
\providecommand{\gildas}{\mbox{\sc gildas}}%
\providecommand{\sic}{\mbox{\sc sic}}%
\providecommand{\greg}{\mbox{\sc greg}}%
\providecommand{\gtvirt}{\mbox{\sc gtvirt}}%
\providecommand{\atm}{\mbox{\sc atm}}%
\providecommand{\telcal}{\mbox{\sc telcal}}%
\providecommand{\astro}{\mbox{\sc astro}}%
\providecommand{\nic}{\mbox{\sc nic}}%
\providecommand{\class}{\mbox{\sc class}}%
\providecommand{\cube }{\mbox{\sc cube}}%
\providecommand{\clic}{\mbox{\sc clic}}%
\providecommand{\point}{\mbox{\sc point}}%
\providecommand{\flux}{\mbox{\sc flux}}%
\providecommand{\mapping}{\mbox{\sc mapping}}%
\providecommand{\graphic}{\mbox{\sc graphic}}%
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\providecommand{\action}{\\{\em User action }:}%
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\providecommand{\ie}{{\em i.e.}}%
\providecommand{\eg}{{\em e.g.}}%
\providecommand{\cf}{{\em cf.}}%
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    \ifthenelse{\equal{#3}{}}{}{Main past contributors: #3.}} 
\pagestyle{headings}

%
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%
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%
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%
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\setcounter{topnumber}{4}

%
\providecommand{\emm}[1]{\ensuremath{#1}}    % Ensures math mode.%
\providecommand{\emr}[1]{\ensuremath{\mathrm{#1}}}  % Uses math roman fonts.%
\providecommand{\nds}[1]{\ensuremath{\displaystyle#1}}  % Normal display size for array and tabular environment.%
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\providecommand{\bracket}[1]{\ensuremath{\displaystyle\left[  #1 \right] }}  % Brackets.%
\providecommand{\abs}[1]{\ensuremath{\left| #1 \right|}}  % Absolute value.

\pagestyle{fancy}

\fancyhf{} % Clears all fields.

\lhead{\scshape Comparison of ATM versions}
\rhead{\scshape \nouppercase{\rightmark}}   %
\fancyfoot[C]{\bfseries\thepage {}}

%
\renewcommand{\headrulewidth}{0pt}    %
%
\renewcommand{\footrulewidth}{0pt}    %

%
\renewcommand{\sectionmark}[1]{%
  \markright{\thesection. \MakeLowercase{#1}}}
%
\renewcommand{\subsectionmark}[1]{}

%
\providecommand{\kbolt}{\ensuremath{k_\ensuremath{\mathrm{bolt}}}}%
\providecommand{\temp}[2]{\ensuremath{T_\ensuremath{\mathrm{#1}}\ifthenelse{\equal{#2}{}}{}{^\ensuremath{\mathrm{#2}}}}}%
\providecommand{\Tas}[1][]{\ensuremath{T_\ensuremath{\mathrm{a}}\ifthenelse{\equal{\star}{}}{}{^\ensuremath{\mathrm{\star}}}}}%
\providecommand{\Tant}[1][]{\ensuremath{T_\ensuremath{\mathrm{ant}}\ifthenelse{\equal{#1}{}}{}{^\ensuremath{\mathrm{#1}}}}}%
\providecommand{\Tastro}[1][]{\ensuremath{T_\ensuremath{\mathrm{astro}}\ifthenelse{\equal{#1}{}}{}{^\ensuremath{\mathrm{#1}}}}}%
\providecommand{\Trec}[1][]{\ensuremath{T_\ensuremath{\mathrm{rec}}\ifthenelse{\equal{#1}{}}{}{^\ensuremath{\mathrm{#1}}}}}%
\providecommand{\Tsky}[1][]{\ensuremath{T_\ensuremath{\mathrm{sky}}\ifthenelse{\equal{#1}{}}{}{^\ensuremath{\mathrm{#1}}}}}%
\providecommand{\Temi}[1][]{\ensuremath{T_\ensuremath{\mathrm{emi}}\ifthenelse{\equal{#1}{}}{}{^\ensuremath{\mathrm{#1}}}}}%
\providecommand{\Tcal}[1][]{\ensuremath{T_\ensuremath{\mathrm{cal}}\ifthenelse{\equal{#1}{}}{}{^\ensuremath{\mathrm{#1}}}}}%
\providecommand{\Tcaltrue}{\ensuremath{T_\ensuremath{\mathrm{cal}}\ifthenelse{\equal{true}{}}{}{^\ensuremath{\mathrm{true}}}}}%
\providecommand{\Tcalmeas}{\ensuremath{T_\ensuremath{\mathrm{cal}}\ifthenelse{\equal{meas}{}}{}{^\ensuremath{\mathrm{meas}}}}}%
\providecommand{\Tatm}[1][]{\ensuremath{T_\ensuremath{\mathrm{atm}}\ifthenelse{\equal{#1}{}}{}{^\ensuremath{\mathrm{#1}}}}}%
\providecommand{\Thot}[1][]{\ensuremath{T_\ensuremath{\mathrm{hot}}\ifthenelse{\equal{#1}{}}{}{^\ensuremath{\mathrm{#1}}}}}%
\providecommand{\Tcold}[1][]{\ensuremath{T_\ensuremath{\mathrm{cold}}\ifthenelse{\equal{#1}{}}{}{^\ensuremath{\mathrm{#1}}}}}%
\providecommand{\Tloss}[1][]{\ensuremath{T_\ensuremath{\mathrm{loss}}\ifthenelse{\equal{#1}{}}{}{^\ensuremath{\mathrm{#1}}}}}%
\providecommand{\Tcab}[1][]{\ensuremath{T_\ensuremath{\mathrm{cab}}\ifthenelse{\equal{#1}{}}{}{^\ensuremath{\mathrm{#1}}}}}%
\providecommand{\Tamb}[1][]{\ensuremath{T_\ensuremath{\mathrm{amb}}\ifthenelse{\equal{#1}{}}{}{^\ensuremath{\mathrm{#1}}}}}%
\providecommand{\Trj}{\ensuremath{T_\ensuremath{\mathrm{}}\ifthenelse{\equal{RJ}{}}{}{^\ensuremath{\mathrm{RJ}}}}}%
\providecommand{\Tbg}{\ensuremath{T_\ensuremath{\mathrm{bg}}\ifthenelse{\equal{}{}}{}{^\ensuremath{\mathrm{}}}}}%
\providecommand{\C}{\ensuremath{C}}%
\providecommand{\cdark}{\ensuremath{c_\ensuremath{\mathrm{dark}}}}%
\providecommand{\el}{\ensuremath{\mathrm{elevation}}}%
\providecommand{\airmass}{\ensuremath{a}}%
\providecommand{\gcal}{\ensuremath{\mathcal{G}}}%
\providecommand{\gim}{\ensuremath{G_\ensuremath{\mathrm{im}}}}%
\providecommand{\gimtrue}{\ensuremath{G_\ensuremath{\mathrm{im}}^\ensuremath{\mathrm{true}}}}%
\providecommand{\gimmeas}{\ensuremath{G_\ensuremath{\mathrm{im}}^\ensuremath{\mathrm{meas}}}}%
\providecommand{\g}{\ensuremath{g}}%
\providecommand{\Feff}{\ensuremath{F_\ensuremath{\mathrm{eff}}}}%
\providecommand{\Fefftrue}{\ensuremath{F_\ensuremath{\mathrm{eff}}^\ensuremath{\mathrm{true}}}}%
\providecommand{\Feffmeas}{\ensuremath{F_\ensuremath{\mathrm{eff}}^\ensuremath{\mathrm{meas}}}}%
\providecommand{\opacity}[1]{\ensuremath{\tau\ifthenelse{\equal{#1}{}}{}{_\ensuremath{\mathrm{#1}}}}}%
\providecommand{\tausig}{\ensuremath{\tau\ifthenelse{\equal{sig}{}}{}{_\ensuremath{\mathrm{sig}}}}}%
\providecommand{\tauima}{\ensuremath{\tau\ifthenelse{\equal{ima}{}}{}{_\ensuremath{\mathrm{ima}}}}}%
\providecommand{\taudry}{\ensuremath{\tau\ifthenelse{\equal{dry}{}}{}{_\ensuremath{\mathrm{dry}}}}}%
\providecommand{\tauwet}{\ensuremath{\tau\ifthenelse{\equal{wet}{}}{}{_\ensuremath{\mathrm{wet}}}}}%
\providecommand{\tautrue}{\ensuremath{\tau\ifthenelse{\equal{true}{}}{}{_\ensuremath{\mathrm{true}}}}}%
\providecommand{\taumodel}{\ensuremath{\tau\ifthenelse{\equal{mod}{}}{}{_\ensuremath{\mathrm{mod}}}}}%
\providecommand{\water}{\ensuremath{\mathrm{w_{H_2O}}}}%
\providecommand{\awater}{\ensuremath{\mathrm{\alpha_{H_2O}}}} 



\usepackage{xcolor}



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% !!! IMAGES START HERE !!!

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$^{1,2}$%
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$J(\nu,T)$%
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{\newpage\clearpage
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{\newpage\clearpage
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$h\nu<<\ensuremath{k_\ensuremath{\mathrm{bolt}}}\,T$%
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$h\nu >> \ensuremath{k_\ensuremath{\mathrm{bolt}}}\,T$%
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\ensuremath{C}%
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$\displaystyle \ensuremath{C}= \ensuremath{c_\ensuremath{\mathrm{dark}}}+ \ensuremath{g}\,(\ensuremath{T_\ensuremath{\mathrm{ant}}\ifthenelse{\equal{tot}{}}{}{^\ensuremath{\mathrm{tot}}}}+\ensuremath{T_\ensuremath{\mathrm{rec}}\ifthenelse{\equal{}{}}{}{^\ensuremath{\mathrm{}}}}),
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$\displaystyle \ensuremath{T_\ensuremath{\mathrm{ant}}\ifthenelse{\equal{tot}{}}{}{^\ensuremath{\mathrm{tot}}}} = \frac{\ensuremath{T_\ensuremath{\mathrm{ant}}\ifthenelse{\equal{sig}{}}{}{^\ensuremath{\mathrm{sig}}}}+\ensuremath{G_\ensuremath{\mathrm{im}}}\,\ensuremath{T_\ensuremath{\mathrm{ant}}\ifthenelse{\equal{ima}{}}{}{^\ensuremath{\mathrm{ima}}}}}{1+\ensuremath{G_\ensuremath{\mathrm{im}}}},
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$\displaystyle \ensuremath{T_\ensuremath{\mathrm{ant}}\ifthenelse{\equal{}{}}{}{^\ensuremath{\mathrm{}}}}= \ensuremath{F_\ensuremath{\mathrm{eff}}}\,\ensuremath{\displaystyle\left[  \ensuremath{T_\ensuremath{\mathrm{atm}}\ifthenelse{\equal{}{}}{}{^\ensuremath{\mathrm{}}}}\exp(-\ensuremath{a}\tau)+\ensuremath{T_\ensuremath{\mathrm{astro}}\ifthenelse{\equal{}{}}{}{^\ensuremath{\mathrm{}}}} \right] } + (1-\ensuremath{F_\ensuremath{\mathrm{eff}}})\,\ensuremath{T_\ensuremath{\mathrm{loss}}\ifthenelse{\equal{}{}}{}{^\ensuremath{\mathrm{}}}}$%
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\ensuremath{a}%
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{\newpage\clearpage
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{\newpage\clearpage
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{\newpage\clearpage
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$\displaystyle \ensuremath{T_\ensuremath{\mathrm{loss}}\ifthenelse{\equal{}{}}{}{^\ensuremath{\mathrm{}}}}= \alpha \ensuremath{T_\ensuremath{\mathrm{cab}}\ifthenelse{\equal{}{}}{}{^\ensuremath{\mathrm{}}}}+ (1-\alpha) \ensuremath{T_\ensuremath{\mathrm{amb}}\ifthenelse{\equal{}{}}{}{^\ensuremath{\mathrm{}}}},
$%
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{\newpage\clearpage
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{\newpage\clearpage
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$\displaystyle \ensuremath{T_\ensuremath{\mathrm{sky}}\ifthenelse{\equal{}{}}{}{^\ensuremath{\mathrm{}}}}= \ensuremath{F_\ensuremath{\mathrm{eff}}}\ensuremath{T_\ensuremath{\mathrm{emi}}\ifthenelse{\equal{tot}{}}{}{^\ensuremath{\mathrm{tot}}}} + (1-\ensuremath{F_\ensuremath{\mathrm{eff}}})\ensuremath{T_\ensuremath{\mathrm{loss}}\ifthenelse{\equal{}{}}{}{^\ensuremath{\mathrm{}}}}.
$%
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{\newpage\clearpage
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$\displaystyle \ensuremath{T_\ensuremath{\mathrm{emi}}\ifthenelse{\equal{tot}{}}{}{^\ensuremath{\mathrm{tot}}}} = \frac{\ensuremath{T_\ensuremath{\mathrm{emi}}\ifthenelse{\equal{sig}{}}{}{^\ensuremath{\mathrm{sig}}}}+\ensuremath{G_\ensuremath{\mathrm{im}}}\,\ensuremath{T_\ensuremath{\mathrm{emi}}\ifthenelse{\equal{ima}{}}{}{^\ensuremath{\mathrm{ima}}}}}{1+\ensuremath{G_\ensuremath{\mathrm{im}}}},
$%
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$\displaystyle \ensuremath{T_\ensuremath{\mathrm{emi}}\ifthenelse{\equal{sig}{}}{}{^\ensuremath{\mathrm{sig}}}} = \ensuremath{T_\ensuremath{\mathrm{atm}}\ifthenelse{\equal{sig}{}}{}{^\ensuremath{\mathrm{sig}}}}\,\ensuremath{\displaystyle\left\{ 1-\exp\ensuremath{\displaystyle\left(  -\ensuremath{a}\ensuremath{\tau\ifthenelse{\equal{sig}{}}{}{_\ensuremath{\mathrm{sig}}}} \right) } \right\}}
  \quad \mbox{and} \quad
  \ensuremath{T_\ensuremath{\mathrm{emi}}\ifthenelse{\equal{ima}{}}{}{^\ensuremath{\mathrm{ima}}}} = \ensuremath{T_\ensuremath{\mathrm{atm}}\ifthenelse{\equal{ima}{}}{}{^\ensuremath{\mathrm{ima}}}}\,\ensuremath{\displaystyle\left\{ 1-\exp\ensuremath{\displaystyle\left(  -\ensuremath{a}\ensuremath{\tau\ifthenelse{\equal{ima}{}}{}{_\ensuremath{\mathrm{ima}}}} \right) } \right\}}.
$%
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$\displaystyle \tau = \ensuremath{\tau\ifthenelse{\equal{dry}{}}{}{_\ensuremath{\mathrm{dry}}}}+ \ensuremath{\tau\ifthenelse{\equal{wet}{}}{}{_\ensuremath{\mathrm{wet}}}},
$%
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\ensuremath{\tau\ifthenelse{\equal{dry}{}}{}{_\ensuremath{\mathrm{dry}}}}%
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\ensuremath{\mathrm{w_{H_2O}}}%
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{\newpage\clearpage
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$\ensuremath{\tau\ifthenelse{\equal{wet}{}}{}{_\ensuremath{\mathrm{wet}}}}=
\ensuremath{\mathrm{\alpha_{H_2O}}}\,\ensuremath{\mathrm{w_{H_2O}}}$%
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$\displaystyle \frac{\ensuremath{T_\ensuremath{\mathrm{hot}}\ifthenelse{\equal{}{}}{}{^\ensuremath{\mathrm{}}}}-\ensuremath{T_\ensuremath{\mathrm{sky}}\ifthenelse{\equal{tot}{}}{}{^\ensuremath{\mathrm{tot}}}}}{\ensuremath{C}_\ensuremath{\mathrm{hot}}-\ensuremath{C}_\ensuremath{\mathrm{sky}}^{tot}} = 
  \frac{\ensuremath{T_\ensuremath{\mathrm{hot}}\ifthenelse{\equal{}{}}{}{^\ensuremath{\mathrm{}}}}-\ensuremath{T_\ensuremath{\mathrm{cold}}\ifthenelse{\equal{}{}}{}{^\ensuremath{\mathrm{}}}}}{\ensuremath{C}_\ensuremath{\mathrm{hot}}-\ensuremath{C}_\ensuremath{\mathrm{cold}}},
$%
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$\ensuremath{C}_\ensuremath{\mathrm{hot}}$%
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\ensuremath{T_\ensuremath{\mathrm{sky}}\ifthenelse{\equal{tot}{}}{}{^\ensuremath{\mathrm{tot}}}}%
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$\displaystyle \ensuremath{T_\ensuremath{\mathrm{a}}\ifthenelse{\equal{\star}{}}{}{^\ensuremath{\mathrm{\star}}}}= \ensuremath{T_\ensuremath{\mathrm{cal}}\ifthenelse{\equal{}{}}{}{^\ensuremath{\mathrm{}}}}\,\frac{\ensuremath{C}_\ensuremath{\mathrm{on}}-\ensuremath{C}_\ensuremath{\mathrm{off}}}{\ensuremath{C}_\ensuremath{\mathrm{hot}}-\ensuremath{C}_\ensuremath{\mathrm{off}}},
$%
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{\newpage\clearpage
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\ensuremath{T_\ensuremath{\mathrm{cal}}\ifthenelse{\equal{}{}}{}{^\ensuremath{\mathrm{}}}}%
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$\displaystyle \ensuremath{T_\ensuremath{\mathrm{cal}}\ifthenelse{\equal{}{}}{}{^\ensuremath{\mathrm{}}}}$%
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$\textstyle =$%
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$\displaystyle (1+\ensuremath{G_\ensuremath{\mathrm{im}}})\,\ensuremath{\displaystyle\left[  \ensuremath{T_\ensuremath{\mathrm{emi}}\ifthenelse{\equal{sig}{}}{}{^\ensuremath{\mathrm{sig}}}}-\ensuremath{T_\ensuremath{\mathrm{bg}}\ifthenelse{\equal{}{}}{}{^\ensuremath{\mathrm{}}}} \right] }$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay4754}%
$\textstyle +$%
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$\displaystyle (1+\ensuremath{G_\ensuremath{\mathrm{im}}})\,\ensuremath{\displaystyle\left[  \ensuremath{T_\ensuremath{\mathrm{loss}}\ifthenelse{\equal{}{}}{}{^\ensuremath{\mathrm{}}}}-\ensuremath{T_\ensuremath{\mathrm{emi}}\ifthenelse{\equal{sig}{}}{}{^\ensuremath{\mathrm{sig}}}} \right] }\,\exp(\ensuremath{a}\ensuremath{\tau\ifthenelse{\equal{sig}{}}{}{_\ensuremath{\mathrm{sig}}}})$%
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$\displaystyle \ensuremath{G_\ensuremath{\mathrm{im}}}\,\ensuremath{\displaystyle\left[  \ensuremath{T_\ensuremath{\mathrm{emi}}\ifthenelse{\equal{sig}{}}{}{^\ensuremath{\mathrm{sig}}}}-\ensuremath{T_\ensuremath{\mathrm{bg}}\ifthenelse{\equal{}{}}{}{^\ensuremath{\mathrm{}}}} \right] }\,\ensuremath{\displaystyle\left[  \exp\ensuremath{\displaystyle\left\{ \ensuremath{a}(\ensuremath{\tau\ifthenelse{\equal{sig}{}}{}{_\ensuremath{\mathrm{sig}}}}-\ensuremath{\tau\ifthenelse{\equal{ima}{}}{}{_\ensuremath{\mathrm{ima}}}}) \right\}}-1 \right] }$%
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$\displaystyle \frac{1+\ensuremath{G_\ensuremath{\mathrm{im}}}}{\ensuremath{F_\ensuremath{\mathrm{eff}}}}\,\ensuremath{\displaystyle\left[  \ensuremath{T_\ensuremath{\mathrm{hot}}\ifthenelse{\equal{}{}}{}{^\ensuremath{\mathrm{}}}}-\ensuremath{T_\ensuremath{\mathrm{loss}}\ifthenelse{\equal{}{}}{}{^\ensuremath{\mathrm{}}}} \right] }\,\exp(\ensuremath{a}\ensuremath{\tau\ifthenelse{\equal{sig}{}}{}{_\ensuremath{\mathrm{sig}}}}).$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3622}%
\ensuremath{T_\ensuremath{\mathrm{bg}}\ifthenelse{\equal{}{}}{}{^\ensuremath{\mathrm{}}}}%
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\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3624}%
\ensuremath{T_\ensuremath{\mathrm{emi}}\ifthenelse{\equal{sig}{}}{}{^\ensuremath{\mathrm{sig}}}}%
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$\displaystyle \ensuremath{T_\ensuremath{\mathrm{cal}}\ifthenelse{\equal{}{}}{}{^\ensuremath{\mathrm{}}}}= (\ensuremath{T_\ensuremath{\mathrm{hot}}\ifthenelse{\equal{}{}}{}{^\ensuremath{\mathrm{}}}}-\ensuremath{T_\ensuremath{\mathrm{sky}}\ifthenelse{\equal{}{}}{}{^\ensuremath{\mathrm{}}}})\frac{1+\ensuremath{G_\ensuremath{\mathrm{im}}}}{\ensuremath{F_\ensuremath{\mathrm{eff}}}\,\exp\ensuremath{\displaystyle\left(  -\ensuremath{a}\ensuremath{\tau\ifthenelse{\equal{sig}{}}{}{_\ensuremath{\mathrm{sig}}}} \right) }}.
$%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline3640}%
\ensuremath{T_\ensuremath{\mathrm{a}}\ifthenelse{\equal{\star}{}}{}{^\ensuremath{\mathrm{\star}}}}%
\lthtmlindisplaymathZ
\lthtmlcheckvsize\clearpage}

\stepcounter{section}
\stepcounter{subsection}
\stepcounter{subsection}

%
\providecommand{\OO}{\ensuremath{\mathrm{O_2}}}%


%
\providecommand{\OOO}{\ensuremath{\mathrm{O_3}}}%


%
\providecommand{\HOH}{\ensuremath{\mathrm{H_2O}}}%

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{\newpage\clearpage
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$1-\exp(-\ensuremath{a}\tau)$%
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$\ensuremath{T_\ensuremath{\mathrm{emi}}\ifthenelse{\equal{}{}}{}{^\ensuremath{\mathrm{}}}}\propto \ensuremath{T_\ensuremath{\mathrm{atm}}\ifthenelse{\equal{}{}}{}{^\ensuremath{\mathrm{}}}}\,
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{\newpage\clearpage
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$(\ensuremath{T_\ensuremath{\mathrm{hot}}\ifthenelse{\equal{}{}}{}{^\ensuremath{\mathrm{}}}}-\ensuremath{T_\ensuremath{\mathrm{sky}}\ifthenelse{\equal{}{}}{}{^\ensuremath{\mathrm{}}}})$%
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$\ensuremath{\displaystyle\left[  1+\ensuremath{G_\ensuremath{\mathrm{im}}} \right] }/\ensuremath{\displaystyle\left[  \ensuremath{F_\ensuremath{\mathrm{eff}}}\,\exp\ensuremath{\displaystyle\left(  -\ensuremath{a}\tau \right) } \right] }$%
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{\newpage\clearpage
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{\newpage\clearpage
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{\newpage\clearpage
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\ensuremath{T_\ensuremath{\mathrm{cal}}\ifthenelse{\equal{meas}{}}{}{^\ensuremath{\mathrm{meas}}}}%
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{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_indisplay4853}%
$\displaystyle
    \frac{\ensuremath{T_\ensuremath{\mathrm{cal}}\ifthenelse{\equal{meas}{}}{}{^\ensuremath{\mathrm{meas}}}}-\ensuremath{T_\ensuremath{\mathrm{cal}}\ifthenelse{\equal{true}{}}{}{^\ensuremath{\mathrm{true}}}}}{\ensuremath{T_\ensuremath{\mathrm{cal}}\ifthenelse{\equal{true}{}}{}{^\ensuremath{\mathrm{true}}}}}
  = \frac{\ensuremath{F_\ensuremath{\mathrm{eff}}^\ensuremath{\mathrm{true}}}(1+\ensuremath{G_\ensuremath{\mathrm{im}}^\ensuremath{\mathrm{meas}}})}{\ensuremath{F_\ensuremath{\mathrm{eff}}^\ensuremath{\mathrm{meas}}}(1+\ensuremath{G_\ensuremath{\mathrm{im}}^\ensuremath{\mathrm{true}}})}
    \exp\ensuremath{\displaystyle\left[  \ensuremath{a}(\ensuremath{\tau\ifthenelse{\equal{mod}{}}{}{_\ensuremath{\mathrm{mod}}}}-\ensuremath{\tau\ifthenelse{\equal{true}{}}{}{_\ensuremath{\mathrm{true}}}}) \right] }-1
$%
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\stepcounter{section}
\stepcounter{section}
\stepcounter{section}
\appendix
\stepcounter{section}
\stepcounter{section}

%
\providecommand{\FigATMvsFreq}[1]{%
  \begin{figure}[htbp]
    \centering
    \includegraphics[width=0.425\textheight,angle=270]{atm-comparison-#1-20deg}
  \end{figure}
  \begin{figure}[htbp]
    \centering
    \includegraphics[width=0.425\textheight,angle=270]{atm-comparison-#1-45deg}
  \end{figure}}%

\stepcounter{section}

\end{document}
