## A Numerical Evaluation of the Helmholtz Integral in Acoustic Scattering |

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### Contents

Numerical evaluation of the Helmholtz integral | 18 |

Analytical solution sinusoidal surface | 26 |

Experiment | 32 |

3 other sections not shown

### Common terms and phrases

0ATA 0ERIVATIVE 0IHENSI0N 0ISPLACEHENT acoustic scattering Amer amplitude amplitude and phase analytical curve analytical solution backscattering beamwidth BL0CK C.S. Clay C.W. Horton C00R0INATES C0HPUTE calculation CALL CAR0S cards correlation functions derivatives diffraction peaks digitized effect ensonified area Equations 35 exact1 F0RHAT factor FIN0 FR0H Fresnel approximation Gaussian HAGNITU0E HEAN Helmholtz integral hydrophone IN0EX incident pressure Kirchhoff approximation measured values NUHBER 0F numerical integration obtained P0INTS PARAHETER PGEN2 PHASE 0F phase approximations plane wave PR0GRAH pressure reflected PRINT S0 probability density functions RA0IUS random surfaces REA0 RECEIVER ANGLE rms scattered pressure Rough Surface SAHPLING SCATTERE0 scattering surface scattering theory Sea Surface Shadowing shown in Figure side lobes signal Simpson's rule sinusoidal surface slope correction smooth surface SUBR0UTINE surface data surface displacement SURFACE P0SITI0N surface slopes TERHS term theory thesis transducer Univac USE0 water surface