A Comparison of Transparent Boundary Conditions for the Fresnel Equation Academic Article uri icon


MeSH Major

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


  • We consider two numerical transparent boundary conditions that have been previously introduced in the literature. The first condition (BPP) was proposed by Baskakov and Popov (1991, Wave Motion14, 121-128) and Papadakis et al. (1992, J. Acoust. Soc. Am.92, 2030-2038) while the second (SDY) is that of Schmidt and Deuflhard (1995, Comput. Math. Appl.29, 53-76) and Schmidt and Yevick (1997, J. Comput. Phys.134, 96-107). The latter procedure is explicitly tailored to the form of the underlying numerical propagation scheme and is therefore unconditionally stable and highly precise. Here we present a new derivation of the SDY approach. As a result of this analysis, we obtain a simple modification of the BPP method that guarantees accuracy and stability for long propagation step lengths. © 2001 Academic Press.

publication date

  • April 10, 2001



  • Academic Article


Digital Object Identifier (DOI)

  • 10.1006/jcph.2001.6708

Additional Document Info

start page

  • 433

end page

  • 444


  • 168


  • 2