windowedFourierProjection#

1D Scattering from Springs on a String using the Windowed Fourier Projection Method

Dependencies#

This project requires Matlab and finufft.

Running Built-in Examples#

Enter the experiment number (expNum) in the driver file main.m to run built-in examples.
Parameters for example runs are found in get_experimentParameters(expNum):

• expNum = 1: Interpolation order 3 — manufactured solution convergence study with 10 randomly located sources in [-2, 2], up to time 3π.
• expNum = 2: Interpolation order 8 — scattering from 150 springs located randomly on [-2, 2], up to time 10π.
• expNum = 3: Interpolation order 8 — scattering from 1000 springs located randomly on [-2, 2], up to time 3π with narrow incident wave.
• expNum = 4: Interpolation order 8 — scattering from 10000 springs located randomly on [-2, 2], up to time 3π with narrow incident wave.
• expNum = 5: Interpolation order 8 — scattering from 2 stiff springs located at -0.5 and 0.5, up to time 30π with wide incident wave (simulates Fabry-Perot interferometer).
• expNum = 6: Interpolation order 8 — scattering from 10 stiff springs located uniformly between -2 to 2, up to time 40π with wide incident wave.
• expNum = 7: Interpolation order 8 — scattering from 200 springs located uniformly between -2 to 2, up to time 40π with wide incident wave.
• expNum = 999: Reserved for running tests and debugging.