An Adaptive Approach to the Numerical Solution of Fresnel’s Wave Equation Academic Article uri icon


MeSH Major

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


  • An adaptive approach to the numerical solution of the wave propagation in integrated optics devices with ID cross sections is described. First, Fresnel’s approximation of the exact wave equation resulting from Maxwell’s equations is considered. A criterion to estimate the validity of this approximation is derived. First, discretization in longitudinal direction with stepsize control leads to a stationary subproblem for the transversal field distribution, which is then handled by an adaptive finite-element method. Thus, full adaptivity of the algorithm is realized. The numerical examples are concentrated on waveguide tapers. © 1993 IEEE

publication date

  • January 1993



  • Academic Article


Digital Object Identifier (DOI)

  • 10.1109/50.241932

Additional Document Info

start page

  • 1425

end page

  • 1434


  • 11


  • 9