This set of simulations make use of the Alternating Direction Implicit method for solving the parabolic wave equation that arises in FD BPM.
The zip file includes the following programs:
FDBPM3D_free_space.m - Animation and video of the 3D propagation.
FDBPM3D_free_space_slice.m - It shows slices of the propagated pulse.
FDBPM3D_free_space_volume.m - It displays the laser beam as it would look in free space after a 1500 um propagation.
R. J. Schilling and S. L. Harris, Applied numerical methods for engineers using MATLAB and C ( Cengage Learning, 1999), ISBN: 0-534-37014-4.
K. Okamoto, Fundamentals of Optical Waveguides (Academic, 2000).ISBN-13: 978-0125250955