2023-ta-rg-rz Waveguides Monotonicity
License
This software is released under GNU General Public License, Version 3. The full license text is provided in the file license.txt included in this repository or can be obtained from http://www.gnu.org/licenses/
Content of this project
This project contains the software developed for the paper:
Monotonicity-based shape reconstruction for an inverse scattering problem in a waveguide
by T. Arens, R. Griesmaier, and R. Zhang.
The following versions of the paper are available:
The code is in the Matlab programming language.
Requirements
The following additional software is necessary to run the code in this project:
- a recent version of Matlab,
- the BIEPack Matlab library for solving boundary integral equations (TODO: Provide link),
- the export_fig Matlab package, available from https://github.com/altmany/export_fig
Set the Matlab path so that the BIEPack files and export_fig will be found.
Running the code
All programs are contained in the src/ directory. The plots for the paper are created in the directory figures/.
Below is a brief description of each program file. See the individual program files for a detailed explanations.
src/plot_of_figure_?.m
These are the driver files to create the plots in section 6 of the paper (Figures 6.1, 6.2 and 6.3). These programs are called without any parameters and will produce the plots in these figures in PNG format.
src/operator_N.m
This program computes a discretization of the near field operator for a scattering problem using the BIEPack library. A number of scattering problems are solved and the scattered field is evaluated in certain receiver points. These values form the column of the near field matrix that is returned by this function.
src/indicator_func.m
For a grid of points, this function computed the value of the indicator function proposed in the paper.
src/operator_T_B.m
The indicator function uses the difference of the real part of the near field operator and the test operator T_B. Given some point and the dimensions of the test domain, a discretization of this test operator is computed y this function.