Title

Rytov approximation of the irradiance covariance and variance of a retroreflected optical beam in atmospheric turbulence

Abstract

The irradiance (intensity) covariance and variance functions associated with a reflected Gaussian-beam wave from a glint target (retroreflector) are calculated and compared with similar results based on a specular target (smooth finite mirror). Detailed results are presented for the normalized irradiance variance, or scintillation index, of the reflected wave for both types of reflector in an improved model of atmospheric turbulence that incorporates a high-wave-number rise just before the dissipation range in addition to inner–outer-scale parameters. Numerical comparisons show that values of the normalized irradiance variance based on the improved model of refractive-index fluctuations (henceforth called the modified spectrum) can be up to 32% greater than those predicted by the Kolmogorov power-law spectrum when the inner scale is comparable in size with the first Fresnel zone. All analytic expressions derived here are based on weak-fluctuation theory using generalized spectral representations of the complex phase perturbations. © 1997 Optical Society of America.

Publication Date

1-1-1997

Publication Title

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volume

14

Issue

8

Number of Pages

1938-1948

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1364/JOSAA.14.001938

Socpus ID

0031207917 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0031207917

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