Abstract

A complete asymptotic theory for the aperture-averaged orbital angular momentum (OAM) variance is developed for both weak and strong fluctuation conditions, based on the asymptotic expansions of the Feynman path-integral solution for the fourth-order coherence function of a spherical wave propagating through a random inhomogeneous medium. We show that the OAM fluctuation averaging is very different for circular-symmetric and non-circular-symmetric apertures. Aperture averaging of the OAM fluctuations does not obey the standard “square root” law, and the weak/strong fluctuation conditions for the aperture-averaged OAM are not defined solely by the values of the scintillation index of the incident wave.

© 2018 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Turbulence effects on the imaging of an object with a sharp edge: asymptotic technique and aperture-plane statistics

Mikhail I. Charnotskii
J. Opt. Soc. Am. A 13(5) 1094-1105 (1996)

Beam scintillations for ground-to-space propagation. Part 2: Gaussian beam scintillation

Mikhail Charnotskii
J. Opt. Soc. Am. A 27(10) 2180-2187 (2010)

Common omissions and misconceptions of wave propagation in turbulence: discussion

Mikhail Charnotskii
J. Opt. Soc. Am. A 29(5) 711-721 (2012)

More Recommended Articles

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 (8)

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 (57)

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