### Abstract

Root mean square (rms) beam wander of J _{0}-Bessel Gaussian and I _{0}-Bessel Gaussian beams, normalized by the rms beam wander of the fundamental Gaussian beam, is evaluated in atmospheric turbulence. Our formulation is based on the first and the second statistical moments obtained from the Rytov series. It is found that after propagating in atmospheric turbulence, the collimated J _{0}-Bessel Gaussian and the I _{0}-Bessel Gaussian beams have smaller rms beam wander than that of the Gaussian beam, regardless of the choice of Bessel width parameter. However, the extent of such an advantage depends on the chosen width parameter, Gaussian source size, propagation distance and the wavelength. Focusing at finite distances of the considered beams causes the rms beam wander to decrease sharply at the propagation distances equal to the focusing parameter.

Original language | English (US) |
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Pages (from-to) | 195-202 |

Number of pages | 8 |

Journal | Applied Physics B: Lasers and Optics |

Volume | 98 |

Issue number | 1 |

DOIs | |

State | Published - Jan 2010 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Physics and Astronomy (miscellaneous)

### Cite this

*Applied Physics B: Lasers and Optics*,

*98*(1), 195-202. https://doi.org/10.1007/s00340-009-3724-4

**Beam wander of J 0- and i 0-Bessel Gaussian beams propagating in turbulent atmosphere.** / Çil, C. Z.; Eyyuboǧlu, H. T.; Baykal, Y.; Korotkova, Olga; Cai, Y.

Research output: Contribution to journal › Article

*Applied Physics B: Lasers and Optics*, vol. 98, no. 1, pp. 195-202. https://doi.org/10.1007/s00340-009-3724-4

}

TY - JOUR

T1 - Beam wander of J 0- and i 0-Bessel Gaussian beams propagating in turbulent atmosphere

AU - Çil, C. Z.

AU - Eyyuboǧlu, H. T.

AU - Baykal, Y.

AU - Korotkova, Olga

AU - Cai, Y.

PY - 2010/1

Y1 - 2010/1

N2 - Root mean square (rms) beam wander of J 0-Bessel Gaussian and I 0-Bessel Gaussian beams, normalized by the rms beam wander of the fundamental Gaussian beam, is evaluated in atmospheric turbulence. Our formulation is based on the first and the second statistical moments obtained from the Rytov series. It is found that after propagating in atmospheric turbulence, the collimated J 0-Bessel Gaussian and the I 0-Bessel Gaussian beams have smaller rms beam wander than that of the Gaussian beam, regardless of the choice of Bessel width parameter. However, the extent of such an advantage depends on the chosen width parameter, Gaussian source size, propagation distance and the wavelength. Focusing at finite distances of the considered beams causes the rms beam wander to decrease sharply at the propagation distances equal to the focusing parameter.

AB - Root mean square (rms) beam wander of J 0-Bessel Gaussian and I 0-Bessel Gaussian beams, normalized by the rms beam wander of the fundamental Gaussian beam, is evaluated in atmospheric turbulence. Our formulation is based on the first and the second statistical moments obtained from the Rytov series. It is found that after propagating in atmospheric turbulence, the collimated J 0-Bessel Gaussian and the I 0-Bessel Gaussian beams have smaller rms beam wander than that of the Gaussian beam, regardless of the choice of Bessel width parameter. However, the extent of such an advantage depends on the chosen width parameter, Gaussian source size, propagation distance and the wavelength. Focusing at finite distances of the considered beams causes the rms beam wander to decrease sharply at the propagation distances equal to the focusing parameter.

UR - http://www.scopus.com/inward/record.url?scp=71149096697&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=71149096697&partnerID=8YFLogxK

U2 - 10.1007/s00340-009-3724-4

DO - 10.1007/s00340-009-3724-4

M3 - Article

AN - SCOPUS:71149096697

VL - 98

SP - 195

EP - 202

JO - Applied Physics B: Lasers and Optics

JF - Applied Physics B: Lasers and Optics

SN - 0946-2171

IS - 1

ER -