• Mathematics
  • Published 2015

Modified spectrum of plane wave method by adding perfectly matched layers to eliminate aliasing

@inproceedings{Shi2015ModifiedSO,
  title={Modified spectrum of plane wave method by adding perfectly matched layers to eliminate aliasing},
  author={Rui Shi and Frank Wyrowski},
  year={2015}
}
We propose a method to add Perfectly Matched Layers(PMLs) at the lateral sides of the computation window by complex coordinate transformation. It modifies the Helmholtz equation from which the rigorous numerical solution for Spectrum Plane Wave(SPW) method is derived. The numerical experiment results are compared with the traditional SPW, which achieve nice agreement. It shows that the SPW method with PMLs(SPW_PMLs) performs well when simulating the highly divergent beams. 

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