Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Scattering field formulation used in DG-FEM

  1. Apr 29, 2013 #1

    Reading up on simulations of electromagnetic scattering with DG-FEM and trying some myself, I got stuck.
    In some of papers I have read, a scattering field formulation is used, in which the total field is linearly decomposed in incident field and scattering field:

    [itex] E^{T}=E^{S}+E^{I}[/itex]

    And, the 2D equations for the scattering field in a lossless, isotropic medium are:

    [itex] \epsilon_{r} \frac{\partial E^{S}}{\partial t} = \nabla \times H^{S} - (\epsilon_{r} - \epsilon_{r}^{I}) \frac{\partial E^{i}}{\partial t} [/itex]
    [itex] \mu_{r} \frac{\partial H^{S}}{\partial t} = -\nabla \times E^{S} - (\mu_{r} - \mu_{r}^{I}) \frac{\partial H^{i}}{\partial t} [/itex]

    My problem is in the interpretation of the "scattering field" and "incident field" in this context. In every use I see of this formulation [itex]\epsilon_{r}[/itex] is space dependent, while [itex]\epsilon_{r}^{I}[/itex] is a constant - specifically, the incident medium's permittivity (same for the permeability). How can this work for multi-substrate cases, where, if I am thinking correctly, the medium considered incident should change?

    (I am quite confused with the affair in general, so any clarifications are quite welcome)
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you help with the solution or looking for help too?
Draft saved Draft deleted

Similar Discussions: Scattering field formulation used in DG-FEM