\select@language {english}
\contentsline {section}{\numberline {1}Introduction}{1}{section.1}
\contentsline {section}{\numberline {2}Flux surface integrals}{2}{section.2}
\contentsline {subsection}{\numberline {2.1}Choice of default $\psi _N$ grid}{2}{subsection.2.1}
\contentsline {subsection}{\numberline {2.2}Flux-surface quantities required as output from the equilibrium code}{2}{subsection.2.2}
\contentsline {subsubsection}{\numberline {2.2.1}Contour integral definition with cosistent signs}{3}{subsubsection.2.2.1}
\contentsline {subsubsection}{\numberline {2.2.2}Note on values at the axis or LCFS}{4}{subsubsection.2.2.2}
\contentsline {subsubsection}{\numberline {2.2.3}Outline of numerical algorithm to compute $C_i$}{5}{subsubsection.2.2.3}
\contentsline {section}{\numberline {3}Shape descriptors}{5}{section.3}
\contentsline {section}{\numberline {4}Surface/Volume integrated quantities}{5}{section.4}
\contentsline {paragraph}{Alternative integration scheme for diverging LCFS quantities}{6}{section*.5}
\contentsline {section}{\numberline {5}Scalar quantities}{7}{section.5}
\contentsline {section}{\numberline {6}Calculations for diagnostics interpretation}{8}{section.6}
\contentsline {subsection}{\numberline {6.1}Point-wise diagnostics}{8}{subsection.6.1}
\contentsline {subsubsection}{\numberline {6.1.1}Outline of fast algorithm for evaluation of $\Psi _N$ and $\rho _{tor}$ on fixed $R,Z$ points}{8}{subsubsection.6.1.1}
\contentsline {subsection}{\numberline {6.2}Line-integrated diagnostics}{8}{subsection.6.2}
\contentsline {subsubsection}{\numberline {6.2.1}Outline of algorithm for line integration of basis functions a on a fixed chord}{9}{subsubsection.6.2.1}
\contentsline {subsection}{\numberline {6.3}ECE (cold approximation, X mode)}{9}{subsection.6.3}
