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

L. C. Andrews; R. L. Phillips

doi:10.1117/12.960857

11 October 1989 New Temperature Spectrum Model Based On Fluctuations In The Average Dissipation Rates

L. C. Andrews, R. L. Phillips

Proceedings Volume 1115, Propagation Engineering; (1989) https://doi.org/10.1117/12.960857
Event: SPIE 1989 Technical Symposium on Aerospace Sensing, 1989, Orlando, FL, United States

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 er and xr Both er and xr 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.

Citation Download Citation

L. C. Andrews and R. L. Phillips "New Temperature Spectrum Model Based On Fluctuations In The Average Dissipation Rates", Proc. SPIE 1115, Propagation Engineering, (11 October 1989); https://doi.org/10.1117/12.960857

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available