Open AccessAdaptive step-size algorithm for Fourier beam-propagation method with absorbing boundary layer of auto-determined width
Author(s) -
R. J. Learn,
Eyal Feigenbaum
Publication year - 2016
Publication title -
applied optics
Language(s) - English
Resource type - Journals
ISSN - 0003-6935
DOI - 10.1364/ao.55.004402
Subject(s) - optics , beam propagation method , beam (structure) , fourier transform , boundary (topology) , algorithm , aliasing , perfectly matched layer , computer science , materials science , physics , refractive index , finite difference time domain method , mathematics , mathematical analysis , filter (signal processing) , computer vision
Two algorithms that enhance the utility of the absorbing boundary layer are presented, mainly in the framework of the Fourier beam-propagation method. One is an automated boundary layer width selector that chooses a near-optimal boundary size based on the initial beam shape. The second algorithm adjusts the propagation step sizes based on the beam shape at the beginning of each step in order to reduce aliasing artifacts.