## Sound pulses |

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### Contents

The equations of motion | 3 |

Poissons solution of the initialvalue problem | 9 |

Characteristics and geometrical optics | 15 |

Copyright | |

20 other sections not shown

### Common terms and phrases

_ Fig 3-space Airy function angle approximation assume asymptotic axis boundary condition calculation caustic chapter characteristic compact consider constant converges cosh curvature curves deduced defined denote dependence domain derivatives differential equation diffracted field diffracted front diffracted pulse diffraction formulae discontinuity disturbance divergence factor eigenfunctions eikonal equation elementary solution equations of motion Fermat's principle finite Friedlander geodesic distance geometrical acoustics geometrical optics given grad Green's formula Green's function half-plane Hence implies incident front incident pulse incident ray influence domain integral linear normal obtained paraboloid physical space plane pulse propagation ray system reflected front reflected pulse reflected ray reflector Riemann surface right-hand side satisfies the wave series expansion shadow boundary shock wave space-time spherical strict solution superposition principle suppose surface test-function transport equation two-dimensional uniqueness theorem valid values vanishes vector velocity potential wave equation wave front weak solution wedge whence