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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De Hoop, A. T., Appl. sci. Res.B 8 (1960) 349.
H is Heaviside's unit step function.
Carslaw, H. S. and J. C. Jaeger, Operational Methods in Applied Mathematics, 2nd ed. p. 345, Oxford University Press, Oxford, 1947.
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
- Wave Equation
- Closed Form
- Integral Representation
- Scalar Wave