What is it about?

Using the technique described in this paper, it is possible to locally add refinement to the FDTD grid. This as compared to conventional techniques, where the grid is squeezed together at the places where refinement is needed. Using this technique, the courant limit stays the same as that of the main grid at the expense of solving a sparse matrix equation.

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Why is it important?

With the proposed technique it is possible to easily model multiscale features, e.g. thin films, sharp tips, ... Conventionally, the grid would need to be squeezed together, such that the timestep needs to be reduced. Also, squeezing the grid together influences the size of the grid along the entirety of (one of) the primary axes. With the proposed technique the timestep remains unaffected upon refinement and the grid can be locally refined in the form of a subgrid.

Perspectives

For a long time, people have been looking for an efficient, simple FDTD subgridding technique. The technique proposed in the paper describes just that. To advance from one time step to the other, a sparse matrix equation needs to be solved. What is of particular interest, is that the rank of the matrix involved can be greatly reduced if one only wants to refine the grid along preferential directions, e.g. only refinement along the x-direction in a 2D grid.

MSc. Bert De Deckere
UGent

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This page is a summary of: Birefringent dispersive FDTD subgridding scheme, Electronics Letters, August 2016, the Institution of Engineering and Technology (the IET),
DOI: 10.1049/el.2016.1709.
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