TY - JOUR
T1 - A convergent Born series for solving the inhomogeneous Helmholtz equation in arbitrarily large media
AU - Osnabrugge, Gerwin
AU - Leedumrongwatthanakun, Saroch
AU - Vellekoop, Ivo Micha
N1 - Open access
PY - 2016
Y1 - 2016
N2 - We present a fast method for numerically solving the inhomogeneous Helmholtz equation. Our iterative method is based on the Born series, which we modified to achieve convergence for scattering media of arbitrary size and scattering strength. Compared to pseudospectral time-domain simulations, our modified Born approach is two orders of magnitude faster and nine orders of magnitude more accurate in benchmark tests in 1, 2, and 3-dimensional systems.
AB - We present a fast method for numerically solving the inhomogeneous Helmholtz equation. Our iterative method is based on the Born series, which we modified to achieve convergence for scattering media of arbitrary size and scattering strength. Compared to pseudospectral time-domain simulations, our modified Born approach is two orders of magnitude faster and nine orders of magnitude more accurate in benchmark tests in 1, 2, and 3-dimensional systems.
KW - METIS-317597
KW - IR-101099
U2 - 10.1016/j.jcp.2016.06.034
DO - 10.1016/j.jcp.2016.06.034
M3 - Article
VL - 322
SP - 113
EP - 124
JO - Journal of computational physics
JF - Journal of computational physics
SN - 0021-9991
ER -