\select@language {english}
\contentsline {paragraph}{Keywords}{1}{section*.1}
\contentsline {paragraph}{Organization of this User Guide}{2}{section*.4}
\contentsline {section}{\numberline {1}Installation}{2}{section.1}
\contentsline {paragraph}{Software Metadata}{2}{section*.5}
\contentsline {paragraph}{Installation}{3}{section*.6}
\contentsline {paragraph}{Demonstration}{3}{section*.7}
\contentsline {paragraph}{Quick Start and Typical Work Flow}{3}{section*.8}
\contentsline {section}{\numberline {2}Technical Description}{3}{section.2}
\contentsline {section}{\numberline {3}Guides}{6}{section.3}
\contentsline {paragraph}{General Use of Guides}{6}{section*.13}
\contentsline {subsection}{\numberline {3.1}Guide: Generating a Grid}{6}{subsection.3.1}
\contentsline {subsection}{\numberline {3.2}Guide: Creating the Experimental Set-Up}{6}{subsection.3.2}
\contentsline {paragraph}{Transmitters' Positions}{7}{section*.16}
\contentsline {paragraph}{Receivers' Positions}{7}{section*.19}
\contentsline {paragraph}{Incident Field}{7}{section*.21}
\contentsline {paragraph}{Details of \textsf {setIncField}}{8}{section*.22}
\contentsline {paragraph}{Input Arguments of \textsf {setIncField}}{8}{section*.23}
\contentsline {paragraph}{Output Argument of \textsf {setIncField}}{8}{section*.24}
\contentsline {paragraph}{Measurement Kernel}{8}{section*.25}
\contentsline {paragraph}{Input Arguments of \textsf {setMeasKer}}{8}{section*.26}
\contentsline {paragraph}{Output Argument of \textsf {setMeasKer}}{8}{section*.27}
\contentsline {paragraph}{Example for the Incident Field and the Measurement Kernel}{8}{section*.28}
\contentsline {subsection}{\numberline {3.3}Guide: Defining a Contrast}{9}{subsection.3.3}
\contentsline {paragraph}{Input Arguments}{9}{section*.31}
\contentsline {paragraph}{Output Argument}{9}{section*.32}
\contentsline {paragraph}{Example}{9}{section*.33}
\contentsline {subsection}{\numberline {3.4}Guide: Setting up Geometry and Simulation}{10}{subsection.3.4}
\contentsline {paragraph}{Input Arguments}{10}{section*.36}
\contentsline {paragraph}{Output Arguments}{10}{section*.37}
\contentsline {paragraph}{Example}{10}{section*.38}
\contentsline {subsection}{\numberline {3.5}Guide: Evaluating the Forward Operator}{11}{subsection.3.5}
\contentsline {paragraph}{Input Arguments}{11}{section*.41}
\contentsline {paragraph}{Output Arguments}{11}{section*.42}
\contentsline {paragraph}{Example}{11}{section*.43}
\contentsline {subsection}{\numberline {3.6}Guide: Evaluating the Fr\'echet Derivative (Jacobian Matrix)}{12}{subsection.3.6}
\contentsline {paragraph}{Input Arguments}{12}{section*.46}
\contentsline {paragraph}{Output Arguments}{12}{section*.47}
\contentsline {paragraph}{Example}{12}{section*.48}
\contentsline {subsection}{\numberline {3.7}Guide: Evaluating the Adjoint of the Derivative at the Defect}{12}{subsection.3.7}
\contentsline {paragraph}{Input Arguments}{13}{section*.51}
\contentsline {paragraph}{Output Arguments}{13}{section*.52}
\contentsline {paragraph}{Example}{13}{section*.53}
\contentsline {subsection}{\numberline {3.8}Guide: Generating Simulated Data with Noise}{13}{subsection.3.8}
\contentsline {paragraph}{Input Arguments}{13}{section*.55}
\contentsline {paragraph}{Output Arguments}{14}{section*.56}
\contentsline {paragraph}{Example}{14}{section*.57}
\contentsline {paragraph}{Example of Convenience Function \textsf {setData}}{14}{section*.59}
\contentsline {subsection}{\numberline {3.9}Guide: Working with Real-World Data from Institute Fresnel}{14}{subsection.3.9}
\contentsline {paragraph}{Example}{15}{section*.62}
\contentsline {paragraph}{Input and Output Arguments of \textsf {readRAWData}}{15}{section*.65}
\contentsline {subsection}{\numberline {3.10}Guide: Matching the Incident Fields of Institute Fresnel's Data}{15}{subsection.3.10}
\contentsline {paragraph}{Details of \textsf {matchIncField}}{15}{section*.66}
\contentsline {paragraph}{Input Arguments of \textsf {matchIncField}}{16}{section*.67}
\contentsline {paragraph}{Output Arguments of \textsf {matchIncField}}{16}{section*.68}
\contentsline {paragraph}{Example of \textsf {matchIncField}}{16}{section*.69}
\contentsline {paragraph}{Convenience Function \textsf {loadData}}{16}{section*.71}
\contentsline {paragraph}{Input Arguments of \textsf {loadData}}{16}{section*.72}
\contentsline {paragraph}{Output Arguments of \textsf {loadData}}{16}{section*.73}
\contentsline {paragraph}{Example of \textsf {loadData}}{17}{section*.74}
\contentsline {paragraph}{Example of \textsf {setData} in the Case of Institute Fresnel's Data}{17}{section*.77}
\contentsline {subsection}{\numberline {3.11}Guide: Variational Reconstruction}{18}{subsection.3.11}
\contentsline {paragraph}{Details of \textsf {setRecon}}{18}{section*.79}
\contentsline {paragraph}{Output and Optional Input Arguments of \textsf {setRecon}}{18}{section*.80}
\contentsline {paragraph}{Details of \textsf {recon}}{18}{section*.81}
\contentsline {paragraph}{Input Argument of \textsf {recon}}{18}{section*.82}
\contentsline {paragraph}{Output Argument of \textsf {recon}}{18}{section*.83}
\contentsline {paragraph}{Example}{19}{section*.85}
\contentsline {paragraph}{Example in Three Dimensions}{19}{section*.89}
\contentsline {subsection}{\numberline {3.12}Guide: Stopping Strategies of the Inner Iteration}{20}{subsection.3.12}
\contentsline {paragraph}{Example}{20}{section*.91}
\contentsline {subsection}{\numberline {3.13}Guide: Setting Up Test Bench for Variational Reconstruction}{21}{subsection.3.13}
\contentsline {paragraph}{Details of \textsf {setInput}}{21}{section*.93}
\contentsline {paragraph}{Input Arguments of \textsf {setInput}}{21}{section*.94}
\contentsline {paragraph}{Output Arguments of \textsf {setInput}}{21}{section*.95}
\contentsline {paragraph}{Example}{21}{section*.96}
\contentsline {paragraph}{Store and Load Simulated Data}{22}{section*.102}
\contentsline {paragraph}{Store and Load the Reconstruction}{22}{section*.103}
\contentsline {paragraph}{Example of Storing and Loading the Reconstruction}{23}{section*.104}
\contentsline {subsection}{\numberline {3.14}Guide: Avoiding the Inverse Crime}{23}{subsection.3.14}
\contentsline {subsection}{\numberline {3.15}Guide: Choosing the Regularization Parameters}{24}{subsection.3.15}
\contentsline {section}{\numberline {4}Applications}{24}{section.4}
\contentsline {paragraph}{Comparison of Born Approximation and Scattered Field}{24}{section*.111}
\contentsline {paragraph}{Born Approximation of the Inverse Medium Problem}{25}{section*.113}
\contentsline {paragraph}{Linearization at a Specific Contrast}{25}{section*.115}
\contentsline {paragraph}{Introduction to the Direct Scattering Problem}{26}{section*.120}
\contentsline {paragraph}{Introduction to the Variational Reconstruction Scheme}{27}{section*.121}
\contentsline {paragraph}{Scattering Simulation}{27}{section*.122}
