### Abstract

Analytical formula is derived for the propagation factor (known as M ^{2} -factor) of a stochastic electromagnetic Gaussian Schell-model (EGSM) beam in free space and in turbulent atmosphere. In free space, the M ^{2} -factor of an EGSM beam is mainly determined by its initial degree of polarization, r.ms. widths of the spectral densities and correlation coefficients, and its value remains invariant on propagation. In turbulent atmosphere, the M^{2} -factor of an EGSM beam is also determined by the parameters of the turbulent atmosphere, and its value increases on propagation. The relative M^{2} -factor of an EGSM beam with lower correlation factors, larger r.m.s. widths of the spectral densities and longer wavelength is less affected by the atmospheric turbulence. Under suitable conditions, an EGSM beam is less affected by the atmospheric turbulence than a scalar GSM beam (i.e. fully polarized GSM beam). Our results will be useful in long-distance free-space optical communications.

Original language | English (US) |
---|---|

Pages (from-to) | 12587-12598 |

Number of pages | 12 |

Journal | Optics Express |

Volume | 18 |

Issue number | 12 |

DOIs | |

State | Published - Jun 7 2010 |

### Fingerprint

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*Optics Express*,

*18*(12), 12587-12598. https://doi.org/10.1364/OE.18.012587

**Propagation factor of a stochastic electromagnetic Gaussian Schell-model beam.** / Zhu, Shijun; Cai, Yangjian; Korotkova, Olga.

Research output: Contribution to journal › Article

*Optics Express*, vol. 18, no. 12, pp. 12587-12598. https://doi.org/10.1364/OE.18.012587

}

TY - JOUR

T1 - Propagation factor of a stochastic electromagnetic Gaussian Schell-model beam

AU - Zhu, Shijun

AU - Cai, Yangjian

AU - Korotkova, Olga

PY - 2010/6/7

Y1 - 2010/6/7

N2 - Analytical formula is derived for the propagation factor (known as M 2 -factor) of a stochastic electromagnetic Gaussian Schell-model (EGSM) beam in free space and in turbulent atmosphere. In free space, the M 2 -factor of an EGSM beam is mainly determined by its initial degree of polarization, r.ms. widths of the spectral densities and correlation coefficients, and its value remains invariant on propagation. In turbulent atmosphere, the M2 -factor of an EGSM beam is also determined by the parameters of the turbulent atmosphere, and its value increases on propagation. The relative M2 -factor of an EGSM beam with lower correlation factors, larger r.m.s. widths of the spectral densities and longer wavelength is less affected by the atmospheric turbulence. Under suitable conditions, an EGSM beam is less affected by the atmospheric turbulence than a scalar GSM beam (i.e. fully polarized GSM beam). Our results will be useful in long-distance free-space optical communications.

AB - Analytical formula is derived for the propagation factor (known as M 2 -factor) of a stochastic electromagnetic Gaussian Schell-model (EGSM) beam in free space and in turbulent atmosphere. In free space, the M 2 -factor of an EGSM beam is mainly determined by its initial degree of polarization, r.ms. widths of the spectral densities and correlation coefficients, and its value remains invariant on propagation. In turbulent atmosphere, the M2 -factor of an EGSM beam is also determined by the parameters of the turbulent atmosphere, and its value increases on propagation. The relative M2 -factor of an EGSM beam with lower correlation factors, larger r.m.s. widths of the spectral densities and longer wavelength is less affected by the atmospheric turbulence. Under suitable conditions, an EGSM beam is less affected by the atmospheric turbulence than a scalar GSM beam (i.e. fully polarized GSM beam). Our results will be useful in long-distance free-space optical communications.

UR - http://www.scopus.com/inward/record.url?scp=77953584981&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77953584981&partnerID=8YFLogxK

U2 - 10.1364/OE.18.012587

DO - 10.1364/OE.18.012587

M3 - Article

C2 - 20588385

AN - SCOPUS:77953584981

VL - 18

SP - 12587

EP - 12598

JO - Optics Express

JF - Optics Express

SN - 1094-4087

IS - 12

ER -