### Abstract

In the framework of geometric optics, we consider the problem of characterizing the ray trajectory in a random medium with a mean refractive index gradient. Such a gradient results in the mirage phenomenon where an object's observed location is displaced from its actual location. We derive formulas for the mean ray path in both the situation of isotropic stochastic fluctuations and an important anisotropic case. For the isotropic model, the mean squared displacement is also given by a simple formula. Our results could be useful for applications involving the propagation of electromagnetic waves through the atmosphere, where larger-scale mean gradients and smaller-scale stochastic fluctuations are both present.

Original language | English (US) |
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Pages (from-to) | 2002-2005 |

Number of pages | 4 |

Journal | Optics Letters |

Volume | 42 |

Issue number | 10 |

DOIs | |

State | Published - May 15 2017 |

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### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*Optics Letters*,

*42*(10), 2002-2005. https://doi.org/10.1364/OL.42.002002

**Stochastic mirage phenomenon in a random medium.** / McDaniel, Austin; Mahalov, Alex.

Research output: Contribution to journal › Article

*Optics Letters*, vol. 42, no. 10, pp. 2002-2005. https://doi.org/10.1364/OL.42.002002

}

TY - JOUR

T1 - Stochastic mirage phenomenon in a random medium

AU - McDaniel, Austin

AU - Mahalov, Alex

PY - 2017/5/15

Y1 - 2017/5/15

N2 - In the framework of geometric optics, we consider the problem of characterizing the ray trajectory in a random medium with a mean refractive index gradient. Such a gradient results in the mirage phenomenon where an object's observed location is displaced from its actual location. We derive formulas for the mean ray path in both the situation of isotropic stochastic fluctuations and an important anisotropic case. For the isotropic model, the mean squared displacement is also given by a simple formula. Our results could be useful for applications involving the propagation of electromagnetic waves through the atmosphere, where larger-scale mean gradients and smaller-scale stochastic fluctuations are both present.

AB - In the framework of geometric optics, we consider the problem of characterizing the ray trajectory in a random medium with a mean refractive index gradient. Such a gradient results in the mirage phenomenon where an object's observed location is displaced from its actual location. We derive formulas for the mean ray path in both the situation of isotropic stochastic fluctuations and an important anisotropic case. For the isotropic model, the mean squared displacement is also given by a simple formula. Our results could be useful for applications involving the propagation of electromagnetic waves through the atmosphere, where larger-scale mean gradients and smaller-scale stochastic fluctuations are both present.

UR - http://www.scopus.com/inward/record.url?scp=85019243071&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85019243071&partnerID=8YFLogxK

U2 - 10.1364/OL.42.002002

DO - 10.1364/OL.42.002002

M3 - Article

AN - SCOPUS:85019243071

VL - 42

SP - 2002

EP - 2005

JO - Optics Letters

JF - Optics Letters

SN - 0146-9592

IS - 10

ER -