Squeezing of open boundaries by Maxwell-consistent real coordinate transformation

Details Squeezing of open boundaries by Maxwell-consistent real coordinate transformation Squeezing of open boundaries by Maxwell-consistent real coordinate transformation

2006-04-28

arxiv.org/abs/physics/0605004v1

IEEE Microw. Wirel. Comp. Lett., vol. 16, no. 11, pp. 576-578, 2006

Physics

Computational Physics

6 pages

Scientific paper

To simulate open boundaries within finite computation domain, real-function coordinate transformation in the framework of generally covariant formulation of Maxwell equations is proposed. The mapping--realized with arctangent function here--has a transparent geometric meaning of pure squeezing of space, is admissible by classical electrodynamics, does not introduce artificially lossy layers (or `lossy coordinates') to absorb outgoing radiation nor leads to non-Maxwellian fields. At the same time, like for anisotropic perfectly matched layers, no modification (except for transformation of material tensors) is needed to existing nearest-neighbor computation schemes, which makes it well suited for parallel computing implementation.

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