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

Full Article  |  PDF Article
OSA Recommended Articles
Optical beam propagation in a band-limited fractal medium

Y. Kim and D. L. Jaggard
J. Opt. Soc. Am. A 5(9) 1419-1426 (1988)

Diffraction by band-limited fractal screens

D. L. Jaggard and Y. Kim
J. Opt. Soc. Am. A 4(6) 1055-1062 (1987)

On a quasi-wavelet model of refractive index fluctuations due to atmospheric turbulence

Darío G. Pérez and Gustavo Funes
Opt. Express 23(25) 31627-31639 (2015)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (2)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (37)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription