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    Effect of Finite Radar Pulse Volume on Turbulence Measurements

    Source: Journal of Applied Meteorology:;1974:;volume( 013 ):;issue: 004::page 472
    Author:
    Srivastava, R. C.
    ,
    Atlas, D.
    DOI: 10.1175/1520-0450(1974)013<0472:EOFRPV>2.0.CO;2
    Publisher: American Meteorological Society
    Abstract: Equations relating the mean of the Doppler spectrum and the distribution of point velocities, and their spectra are derived under the assumptions that: 1) the scatterers follow the air motion faithfully, 2) the reflectivity is constant, and 3) the beam illumination function is separable. It is found that the three-dimensional spectral density function is strongly attenuated at scales small compared to the beam dimensions, and essentially unaffected at scales large compared to the beam dimensions. Relationships between the one-dimensional longitudinal and transverse spectra of the mean velocity and the three-dimensional spectrum of the point velocities are derived. Numerical computations with a model Kolmogorov-Obukhov turbulence spectrum are performed to illustrate the effects of filtering. Energy at scales small compared to the beam dimensions is attenuated. Energy at scales large compared to the beam dimensions is also reduced, in the case of the one-dimensional spectrum, because small scales in the orthogonal directions contributing to the energy are attenuated by the filtering. The energy depleted from the spectrum of the mean velocity appears as an increased variance of the Doppler spectrum. The ratio of the total energy under the measured spectrum to that under the spectrum of the point velocities is computed as a function of beam dimensions. An equivalent rectangular filter approximation is proposed for computing the one-dimensional spectra. Analytical results are obtained for the longitudinal spectrum and are shown to be in excellent agreement with the numerical results for the actual filter. The use of a spherical volume equal to that of the actual radar pulse volume is shown to be invalid.
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      Effect of Finite Radar Pulse Volume on Turbulence Measurements

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4231111
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    contributor authorSrivastava, R. C.
    contributor authorAtlas, D.
    date accessioned2017-06-09T17:34:38Z
    date available2017-06-09T17:34:38Z
    date copyright1974/06/01
    date issued1974
    identifier issn0021-8952
    identifier otherams-8744.pdf
    identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4231111
    description abstractEquations relating the mean of the Doppler spectrum and the distribution of point velocities, and their spectra are derived under the assumptions that: 1) the scatterers follow the air motion faithfully, 2) the reflectivity is constant, and 3) the beam illumination function is separable. It is found that the three-dimensional spectral density function is strongly attenuated at scales small compared to the beam dimensions, and essentially unaffected at scales large compared to the beam dimensions. Relationships between the one-dimensional longitudinal and transverse spectra of the mean velocity and the three-dimensional spectrum of the point velocities are derived. Numerical computations with a model Kolmogorov-Obukhov turbulence spectrum are performed to illustrate the effects of filtering. Energy at scales small compared to the beam dimensions is attenuated. Energy at scales large compared to the beam dimensions is also reduced, in the case of the one-dimensional spectrum, because small scales in the orthogonal directions contributing to the energy are attenuated by the filtering. The energy depleted from the spectrum of the mean velocity appears as an increased variance of the Doppler spectrum. The ratio of the total energy under the measured spectrum to that under the spectrum of the point velocities is computed as a function of beam dimensions. An equivalent rectangular filter approximation is proposed for computing the one-dimensional spectra. Analytical results are obtained for the longitudinal spectrum and are shown to be in excellent agreement with the numerical results for the actual filter. The use of a spherical volume equal to that of the actual radar pulse volume is shown to be invalid.
    publisherAmerican Meteorological Society
    titleEffect of Finite Radar Pulse Volume on Turbulence Measurements
    typeJournal Paper
    journal volume13
    journal issue4
    journal titleJournal of Applied Meteorology
    identifier doi10.1175/1520-0450(1974)013<0472:EOFRPV>2.0.CO;2
    journal fristpage472
    journal lastpage480
    treeJournal of Applied Meteorology:;1974:;volume( 013 ):;issue: 004
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
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