Transparent Boundary Conditions for a Wide-Angle Approximation of the One-Way Helmholtz Equation Academic Article uri icon

Overview

MeSH Major

  • Cell Transformation, Viral
  • Oncogenes
  • Receptors, Cell Surface

abstract

  • We present nonlocal discrete transparent boundary conditions for a fourth-order wide-angle approximation of the two-dimensional Helmholtz equation. The boundary conditions are exact in the sense that they supply the same discrete solution on a bounded interior domain as would be obtained by considering the problem on the entire unbounded domain with zero boundary conditions at infinity. The proposed algorithm results in an unconditionally stable propagation method. Numerical examples from optics illustrate the efficiency of our approach. © 2000 Academic Press.

publication date

  • December 10, 2000

Research

keywords

  • Academic Article

Identity

Digital Object Identifier (DOI)

  • 10.1006/jcph.2000.6637

Additional Document Info

start page

  • 645

end page

  • 659

volume

  • 165

number

  • 2