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Space‐time analysis of wave propagation through a turbulent medium
Author(s) -
Rumsey V. H.
Publication year - 1977
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs012i002p00205
Subject(s) - physics , turbulence , space time , plane wave , space (punctuation) , plane (geometry) , inertial frame of reference , range (aeronautics) , field (mathematics) , mathematical analysis , classical mechanics , mathematics , geometry , optics , mechanics , linguistics , philosophy , materials science , chemical engineering , pure mathematics , engineering , composite material
The Kolmogorov hypothesis of an inertial range within the spectrum of steady state turbulence is used to show that the space‐time structure function for the velocity fluctuations in a fluid has the form of ( r 4/3 + ∈ 2/3 t 2 ) ½ where r and t are the space and time lags and ∈ the energy, for a reference frame in which the mean velocity is zero. The associated space‐time spectra are also derived. Equations for the propagation of the N event space‐time correlation functions of the complex electric field are derived assuming that the width of the angular spectrum of plane waves is much less than a radian.