Title

New Temperature Spectrum Model Based On Fluctuations In The Average Dissipation Rates

Abstract

A new analytical model of the spatial power spectrum of temperature fluctuations in the atmospheric boundary layer, showing the characteristic “bump” just prior to the dissipation ranges, is developed as a modification of the standard Tatarski model by taking into account the random fluctuations in the average dissipation rates ɛr and χr. Both ɛr and χr are shown to satisfy the statistics of a gamma distribution and thus the joint distribution is assumed to be a bivariate gamma model, which shows good agreement with experimental data. Based on this new spectrum model, we then calculate the related structure function of temperature, showing deviations from the standard r2/3 power-law behavior of the Tatarski model. The refractive-index spectrum is assumed to have the same functional form as the temperature spectrum for optical propagation. Using it we also calculate the normalized variance of log-intensity for plane waves. © 1989 SPIE.

Publication Date

10-11-1989

Publication Title

Proceedings of SPIE - The International Society for Optical Engineering

Volume

1115

Number of Pages

18-27

Document Type

Article; Proceedings Paper

Identifier

scopus

DOI Link

https://doi.org/10.1117/12.960857

Socpus ID

0024874434 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0024874434

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