Coherent and incoherent components of sound scattered at a time dependent rough surface

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Published **1972**
by Naval Postgraduate School in Monterey, California .

Written in English

- Sound,
- Mathematics,
- Sound-waves

Theoretical expressions are derived for the sound scattered at a time-dependent rough surface. The calculations are made for a Gaussian shaded source transducer and point receiver. The Helmholtz theorem and Fresnel approximation are used. The rough surface is assumed to be a traveling wave and to have a traveling wave packet type of correlation function. The coherent component of the signal is the product of the Fourier transformation of the surface distribution function and the smooth surface reflection signal. Comparison of theory and experiment shows the coherent component to be sensitive to the non-Gaussian character of the wind-blown water waves. The incoherent components and the temporal correlation function of the scattered sound are given.

**Edition Notes**

Statement | C.S. Clay |

Contributions | Naval Postgraduate School (U.S.) |

The Physical Object | |
---|---|

Pagination | 39 p. : |

Number of Pages | 39 |

ID Numbers | |

Open Library | OL25508839M |

OCLC/WorldCa | 436452428 |

A spin-dependent scattering length is expressed in terms of the neutron and nuclear spin operators s r and I r as: c bi I(I1) 2s.I b + + rr. (13) In order to separate out the coherent and incoherent components, three options present themselves. (1) Use of polarized neutrons along with polarization analysis. PolarizationFile Size: KB. Echo sounding records were used to identify roughness features in the wavelength ranges 6 km to 12 km, 2 km to 6 km, km and 3 km, and less than 1 km. The latter features are not resolved at Cited by: Abstract: We present an analytical solution for coherent scattering of electromagnetic waves from a two-layer rough surface structure with uncorrelated random rough interfaces. The Kirchhoff approximation is used to predict the coherent (specular) component of the scattered wave from a layered rough surface that is assumed to have radii of curvature much larger than the . The incoherent power divided by the square of the smooth sea reflection coefficient shows no polarization dependence, c) The distribution along the surface as measured by the narrow-beam antenna shows that the coherent and incoherent power are markedly peaked in the specular direction, d) The ratios of coherent-to-incoherent power (m 2.

1 This is only true for correlated (coherent) signals. 2. Addition of two incoherent signals of equal amplitude, such as the two tracks of a trumpet and a trombone: Vector diagram: 1 The total amplitude of is a diagonal. The vectors for incoherent uncorrelated signals. stand at . Surface statistical descriptions are most effective in predicting sound scatter at the ocean surface and ocean bottom. Some of the most convincing laboratory-scale models and simplified analyses of the coherent and incoherent components of scatter in the mirror direction are also summarized in . n = 2 coherent sources of equal level result in a higher level of 20 × log 10 2 = + dB compared to the case that only one source is available. n = 3 coherent sources of equal level result in a higher level of 20 × log 10 3 = + dB compared to the case that only one source is available. n = 4 coherent sources of equal level result in a higher level of 20 × log 10 4 = + dB. Two waves are said to be in phase if their crests and troughs meet at the same place at the same time, and the waves are out of phase if the crests of one meet the troughs of another. The light produced by lasers is coherent light. Incoherent Waves: Incoherent light contains many different wavelengths due to which it is scattered.

The coherent simulation of representative time series for the incoherent component of the field scattered from the seafloor may be approached using a number of simulation techniques. All properties of the scattered field can be achieved if a realization of a rough surface is generated, and the field is computed using a numerical solution of the appropriate integral equation governing the. A general analytical expression for the time-dependent mean-square incoherent field scattered from or through (penetrating) a 2-D fluid–fluid rough interface for a narrow-band incident plane-wave source is derived and expressed in terms of the second moment of the rough interface analytical expression is independent of the scattering solution technique, and for distances. Coherent and incoherent sources Coherent light is light in which the photons are all in 'step' – other words the change of phase within the beam occurs for all the photons at the same time. There are no abrupt phase changes within the beam. Light. Coherent constructive scattering: Reflection from a smooth surface when angle of incidence equals angle of reflection A beam can only remain a plane wave if there’s a direction for which coherent constructive interference occurs. Coherent constructive interference occurs for a reflected beam if the.

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