A convergent Born series for solving the inhomogeneous Helmholtz equation in arbitrarily large media

Gerwin Osnabrugge, Saroch Leedumrongwatthanakun, Ivo Micha Vellekoop

Research output: Contribution to journalArticleAcademicpeer-review

10 Citations (Scopus)
152 Downloads (Pure)

Abstract

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.
Original languageUndefined
Pages (from-to)113-124
Number of pages12
JournalJournal of computational physics
Volume322
DOIs
Publication statusPublished - 2016

Keywords

  • METIS-317597
  • IR-101099

Cite this

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abstract = "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.",
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year = "2016",
doi = "10.1016/j.jcp.2016.06.034",
language = "Undefined",
volume = "322",
pages = "113--124",
journal = "Journal of computational physics",
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A convergent Born series for solving the inhomogeneous Helmholtz equation in arbitrarily large media. / Osnabrugge, Gerwin; Leedumrongwatthanakun, Saroch; Vellekoop, Ivo Micha.

In: Journal of computational physics, Vol. 322, 2016, p. 113-124.

Research output: Contribution to journalArticleAcademicpeer-review

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 -