In this repository I'm adding/tidying up some scripts I wrote during university while learning C++, in the context of physical simulations.
Run make all from the top level to compile all the binaries. GSL is
required to link against.
Plots of the values calculated can then be viewed by running one of the scripts/plot... python wrappers.
Scripts
scripts/plot_cornu_spiral.py
Plots the Cornu spiral by numerically integrating the Fresnel integrals.
scripts/plot_diffraction.py
Plot near-field diffraction patterns from different sized appertures.
make targets:
bin/monte_carlo_example
Finds an aproximate value to the following integral numerically:
10^6 * Integrate(sin(x_0 + x_1 + x_2 + x_3 + x_4 + x_5 + x_6 + x_7) dx_0 dx_1 dx_2 dx_2 dx_3 dx_4 dx_5 dx_6 dx_7)
With all integration variables taking values from 0 to S = pi/8.
Uses Monte-Carlo estimation to sample pseudo-random points over the 8D integral space and provide an estimate for the integral value and error.
bin/fresnel_example
Integrate the Fresnel integrals numerically. CSV data is output to file, from which a Cornu spiral can be plotted.
bin/fresnel_diffraction
Apply Fresnel integrals to near-field diffraction of various sized appertures. CSV data is output to files under data/ from which diffraction patterns can be plotted.
bin/driven_pendulum
Simulate a driven pendulum by numerically solving a pair of ODEs representing the dynamics of the system. CSV data is output to file, from which the pendulum motion can be plotted.
bin/fft
Numerically calculate the far-field diffraction pattern of a slit aperture, using the FFTW library to calculate the Fourier transform. CSV data is output to file, from which the diffraction pattern can be plotted.