Accurate solution of the paraxial wave equation using Richardson extrapolation

@article{Chinni1994AccurateSO,
  title={Accurate solution of the paraxial wave equation using Richardson extrapolation},
  author={V R Chinni and C. R. Menyuk and P M Wai},
  journal={IEEE Photonics Technology Letters},
  year={1994},
  volume={6},
  pages={409-411}
}
Richardson extrapolation is used along with the midstep Euler finite difference method to solve the paraxial wave equation. Highly accurate solutions can be efficiently obtained using this combined approach. Numerical results are presented for wave propagation in a straight integrated optical waveguide and a Y-junction waveguide. Discretization errors in both the propagation and the transverse dimension can be systematically eliminated by using Richardson extrapolation. Accuracies on the order… CONTINUE READING

References

Publications referenced by this paper.
Showing 1-8 of 8 references

The finitedifference vector beam propagation method: Analysis and assessment,

W. Huang, C. Xu, S.-T. Chu, S. K. Chaudhuri
J. Lightwave Technol., • 1992

Analysis of 2Invariant and 2Variant semiconductor rib waveguides by explicit finite difference beam propagation metbod with nonuniform mesh configuration

S.-T. Chu, S. K. Chaudhuri
IEEE J . Quantum Electron • 1991

Comparison of finite-difference and Fourier-transform solutions of the parabolic wave equation with emphasis on integrated-optics applications,

M. Osgood, Jr.
J. Opt. Soc. Am. A, • 1991

Efficient beam propagation techniques

S. A. Teukolsky
IEEE J . Quantum Electron . • 1990

Survey of extrapolation processes in numerical analysis,

D. C. Joyce
SIAM Review, • 1971

On extrapolation algorithms for ordinary initial value problems,

W. B. Gragg
SIAM J. Numer. Anal., • 1965

Similar Papers

Loading similar papers…