Open AccessCoupled Contributions in the Doppler Radar Spectrum Width Equation
Author(s) -
Ming Fang,
Richard J. Doviak
Publication year - 2008
Publication title -
journal of atmospheric and oceanic technology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.774
H-Index - 124
eISSN - 1520-0426
pISSN - 0739-0572
DOI - 10.1175/2007jtecha968.1
Subject(s) - doppler effect , moment (physics) , spectrum (functional analysis) , physics , spectral width , radar , turbulence , spectral line , doppler broadening , computational physics , mathematical analysis , mathematics , optics , classical mechanics , telecommunications , computer science , meteorology , wavelength , quantum mechanics
Contrary to accepted usage, the second central moment of the Doppler spectrum is not the sum of the second central moments of individual spectral broadening mechanisms. A rigorous theoretical derivation of the spectrum width observed with short dwell times reveals that the sum cannot strictly be taken for the variances associated with various spectral broadening mechanisms and that an added-term coupling shear with turbulence is needed. Furthermore, shear and antenna rotation are coupled. The theoretical expressions derived herein apply to radars with fixed or scanning beams.