Abstract

Curvature of the refractive index profile can cause the focusing or defocusing of a propagating beam. Such lensing can have detrimental e ects on, for example, imaging through the atmosphere, where it can cause features to appear stretched or regions to appear artificially bright. We consider the problem of describing propagation in the presence of both curvature and stochastic fluctuations in the refractive index profile. For di erent scenarios motivated by atmospheric propagation data, we derive concise, robust formulas for the mean ray paths that include the e ects of turbulence. In addition, for the case of a local maximum of the mean refractive index, we show that the focal length associated with the mean trajectories in the random medium is smaller than in the deterministic setting.

Original languageEnglish (US)
Pages (from-to)28157-28166
Number of pages10
JournalOptics Express
Volume25
Issue number23
DOIs
StatePublished - Nov 13 2017

Fingerprint

refractivity
curvature
propagation
causes
defocusing
profiles
rays
turbulence
trajectories
atmospheres

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Lensing effects in a random inhomogeneous medium. / McDaniel, Austin; Mahalov, Alex.

In: Optics Express, Vol. 25, No. 23, 13.11.2017, p. 28157-28166.

Research output: Contribution to journalArticle

McDaniel, Austin ; Mahalov, Alex. / Lensing effects in a random inhomogeneous medium. In: Optics Express. 2017 ; Vol. 25, No. 23. pp. 28157-28166.
@article{a8c35385c81c4dc59cede50f65d73f4d,
title = "Lensing effects in a random inhomogeneous medium",
abstract = "Curvature of the refractive index profile can cause the focusing or defocusing of a propagating beam. Such lensing can have detrimental e ects on, for example, imaging through the atmosphere, where it can cause features to appear stretched or regions to appear artificially bright. We consider the problem of describing propagation in the presence of both curvature and stochastic fluctuations in the refractive index profile. For di erent scenarios motivated by atmospheric propagation data, we derive concise, robust formulas for the mean ray paths that include the e ects of turbulence. In addition, for the case of a local maximum of the mean refractive index, we show that the focal length associated with the mean trajectories in the random medium is smaller than in the deterministic setting.",
author = "Austin McDaniel and Alex Mahalov",
year = "2017",
month = "11",
day = "13",
doi = "10.1364/OE.25.028157",
language = "English (US)",
volume = "25",
pages = "28157--28166",
journal = "Optics Express",
issn = "1094-4087",
publisher = "The Optical Society",
number = "23",

}

TY - JOUR

T1 - Lensing effects in a random inhomogeneous medium

AU - McDaniel, Austin

AU - Mahalov, Alex

PY - 2017/11/13

Y1 - 2017/11/13

N2 - Curvature of the refractive index profile can cause the focusing or defocusing of a propagating beam. Such lensing can have detrimental e ects on, for example, imaging through the atmosphere, where it can cause features to appear stretched or regions to appear artificially bright. We consider the problem of describing propagation in the presence of both curvature and stochastic fluctuations in the refractive index profile. For di erent scenarios motivated by atmospheric propagation data, we derive concise, robust formulas for the mean ray paths that include the e ects of turbulence. In addition, for the case of a local maximum of the mean refractive index, we show that the focal length associated with the mean trajectories in the random medium is smaller than in the deterministic setting.

AB - Curvature of the refractive index profile can cause the focusing or defocusing of a propagating beam. Such lensing can have detrimental e ects on, for example, imaging through the atmosphere, where it can cause features to appear stretched or regions to appear artificially bright. We consider the problem of describing propagation in the presence of both curvature and stochastic fluctuations in the refractive index profile. For di erent scenarios motivated by atmospheric propagation data, we derive concise, robust formulas for the mean ray paths that include the e ects of turbulence. In addition, for the case of a local maximum of the mean refractive index, we show that the focal length associated with the mean trajectories in the random medium is smaller than in the deterministic setting.

UR - http://www.scopus.com/inward/record.url?scp=85033602253&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85033602253&partnerID=8YFLogxK

U2 - 10.1364/OE.25.028157

DO - 10.1364/OE.25.028157

M3 - Article

AN - SCOPUS:85033602253

VL - 25

SP - 28157

EP - 28166

JO - Optics Express

JF - Optics Express

SN - 1094-4087

IS - 23

ER -