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The effect of anisotropy on the integral representation of a cylindrical pulse

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Summary

The infinite medium Green's function for a two dimensional anisotropic scalar wave equation is obtained in closed form using a technique developed by De Hoop1). The effect of anisotropy on the complex contour integral representation of this Green's function is explicitly exhibited.

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References

  1. 1)

    De Hoop, A. T., Appl. sci. Res.B 8 (1960) 349.

  2. 2)

    H is Heaviside's unit step function.

  3. 3)

    Carslaw, H. S. and J. C. Jaeger, Operational Methods in Applied Mathematics, 2nd ed. p. 345, Oxford University Press, Oxford, 1947.

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Additional information

Publication 367, Institute of Geophysics and Planetary Physics, University of California, Los Angeles.

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Kraut, E.A. The effect of anisotropy on the integral representation of a cylindrical pulse. Appl. Sci. Res. 12, 308–314 (1965). https://doi.org/10.1007/BF00382129

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Keywords

  • Anisotropy
  • Wave Equation
  • Closed Form
  • Integral Representation
  • Scalar Wave