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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:322

Article

Osnabrugge, Gerwin¹  Leedumrongwatthanakun, Saroch¹  Vellekoop, Ivo M.¹ 

[1] Univ Twente, MIRA Inst Biomed Technol & Tech Med, Biomed Photon Imaging Grp, POB 217, NL-7500 AE Enschede, Netherlands

关键词: Helmholtz equation;    Born series;    Inhomogeneous medium;    Time-independent Schrodinger equation;    Pseudospectral time-domain method;   

DOI  :  10.1016/j.jcp.2016.06.034

来源: Elsevier

【 摘 要 】

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. (C) 2016 The Authors. Published by Elsevier Inc.

【 授权许可】

Free