Band-limited fractal model of atmospheric refractivity fluctuation

Document Type

Article

Publication Date

1-1-1988

Abstract

We propose that fluctuations of the atmospheric refractive index be modeled by an appropriate band-limited Weierstrass function that has fractal characteristics. In one dimension, the average Weierstrass spectrum approaches the Kolmogorov spectrum when the fractal dimension of the former becomes 5/3. The intermittent characteristic of the atmospheric refractivity fluctuations is also taken into account by modifying this Weierstrass function. Three-dimensional extensions of this model with a fractal dimension of 11/3 are described briefly. This model is particularly attractive for the problem of wave propagation in the atmosphere because it expresses the atmospheric fluctuation in terms of an almost-periodic function or a generalized Fourier series. © 1988 Optical Society of America.

Identifier

84975538338 (Scopus)

Publication Title

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

External Full Text Location

https://doi.org/10.1364/JOSAA.5.000475

e-ISSN

15208532

ISSN

10847529

First Page

475

Last Page

480

Issue

4

Volume

5

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