Wide-angle one-way wave equations.

@article{Halpern1988WideangleOW,
  title={Wide-angle one-way wave equations.},
  author={Laurence Halpern and Lloyd N. Trefethen},
  journal={The Journal of the Acoustical Society of America},
  year={1988},
  volume={84 4},
  pages={
          1397-404
        }
}
A one-way wave equation, also known as a paraxial or parabolic wave equation, is a differential equation that permits wave propagation in certain directions only. Such equations are used regularly in underwater acoustics, in geophysics, and as energy-absorbing numerical boundary conditions. The design of a one-way wave equation is connected with the approximation of (1-s2)1/2 on [-1,1] by a rational function, which has usually been carried out by Padé approximation. This article presents… CONTINUE READING

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References

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SHOWING 1-5 OF 5 REFERENCES

IFD : Wide angle capability

  • D. Lee Botseas, K. E. Gilbert
  • 1988

Accurate computation of the wide - angle wave equation

  • R. L. Sternberg D. Lee
  • Math . Comput .
  • 1986

Approximation f pseudodifferential operators inabsorb - ing boundary conditions for hyperbolic equations

  • Wagatha
  • Numer . Math .
  • 1984

Radiation boundary conditions for acoustic and elastic wave calculations

  • Engquist, A. Majda
  • Math . Cornput .
  • 1977

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