An explicit analytical solution for sound propagation in a three-dimensional penetrable wedge with small apex angle.

@article{Petrov2016AnEA,
  title={An explicit analytical solution for sound propagation in a three-dimensional penetrable wedge with small apex angle.},
  author={Pavel S. Petrov and Fr{\'e}d{\'e}ric Sturm},
  journal={The Journal of the Acoustical Society of America},
  year={2016},
  volume={139 3},
  pages={1343-52}
}
A problem of sound propagation in a shallow-water waveguide with a weakly sloping penetrable bottom is considered. The adiabatic mode parabolic equations are used to approximate the solution of the three-dimensional (3D) Helmholtz equation by modal decomposition of the acoustic pressure field. The mode amplitudes satisfy parabolic equations that admit analytical solutions in the special case of the 3D wedge. Using the analytical formula for modal amplitudes, an explicit and remarkably simple… CONTINUE READING

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