Effect of Finite Radar Pulse Volume on Turbulence Measurements.
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. Relationships between the 1-D longitudinal and transverse spectra of the mean velocity and the 3-D spectrum of the point velocities are derived. Numerical computations with a model Kolmogorov-Obukhov turbulence spectrum are performed to illustrate the effects of filtering. The ratio of the total energy under measured spectrum to that under spectrum of point velocities is computed as a function of beam dimensions. An equivalent rectangular filter approximation is proposed for computing the 1-D spectra. Analytical results are obtained for longitudinal spectrum and are shown to be in excellent agreement with numerical results for actual filter.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 15, 1972
- Accession Number
- AD0755440
Entities
People
- David Atlas
- Ramesh C. Srivastava
Organizations
- University of Chicago