Open AccessSpectral differences between a single gravity shear wave and a continuous superposition of modes
Author(s) -
Pulido Manuel
Publication year - 2002
Publication title -
atmospheric science letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.951
H-Index - 45
ISSN - 1530-261X
DOI - 10.1006/asle.2002.0057
Subject(s) - dissipative system , superposition principle , physics , gravity wave , gravitational wave , spectral density , perturbation (astronomy) , classical mechanics , power law , doppler effect , monochromatic color , wavenumber , monochromatic electromagnetic plane wave , continuous spectrum , internal wave , mechanics , optics , mathematics , quantum mechanics , statistics
A continuous superposition of gravity waves, propagating upward in a shearing background wind, is analyzed. Starting from the gravity wave equations, it is proven, analytically and numerically, that a uniform spectrum has a resultant Doppler‐shifted power spectrum with a −3 power law at large vertical wavenumber contrasting with the −1 power law that characterizes the power spectrum of the monochromatic wave perturbation profile. The preliminary results presented here show that, assuming conservative propagation (no dissipative processes), the Doppler shifting effect can account for observations. Copyright © 2003 Royal Meteorological Society.