Explicit finite-difference vector beam propagation method based on the iterated Crank-Nicolson scheme.

@article{Yioultsis2009ExplicitFV,
  title={Explicit finite-difference vector beam propagation method based on the iterated Crank-Nicolson scheme.},
  author={Traianos V. Yioultsis and Giannis D. Ziogos and Emmanouil E. Kriezis},
  journal={Journal of the Optical Society of America. A, Optics, image science, and vision},
  year={2009},
  volume={26 10},
  pages={
          2183-91
        }
}
We introduce and develop a new explicit vector beam propagation method, based on the iterated Crank-Nicolson scheme, which is an established numerical method in the area of computational relativity. The proposed approach results in a fast and robust method, characterized by simplicity, efficiency, and versatility. It is free of limitations inherent in implicit beam propagation methods, which are associated with poor convergence or uneconomical use of memory in the solution of large sparse… CONTINUE READING
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