### Abstract

Based on the theory of spectral degree of cross-polarization, the behaviour of spectral degree of cross-polarization of a electromagnetic Gaussian Schell-model beam on propagation is studied. The expressions for the elements of the cross-spectral density matrix the beam propagating in free space for arbitrary two points in the beam has been derived by using the unified theory of coherence and polarization and the extended Heygens-Fresnel integral. The results show that, the degree of cross-polarization of partially coherent electromagnetic beams in free space may take on any nonnegative values, in contrast to the usual degree of polarization which is restricted to the range 0~1. The behavior of the degree of cross-polarization on propagation is determined by all the parameters of the source radiating the beam. At sufficiently large distances from the source the degree of cross-polarization stabilizes for all points within the beam independently of their radial positions. The condition for keeping the degree of cross-polarization invariant is the same as that of the usual degree of polarization.

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

Pages (from-to) | 2093-2098 |

Number of pages | 6 |

Journal | Guangzi Xuebao/Acta Photonica Sinica |

Volume | 38 |

Issue number | 8 |

State | Published - Aug 2009 |

### Fingerprint

### Keywords

- Degree of cross-polarization
- Free space
- Partially coherent electromagnetic beam
- Unified theory of coherence and polarization

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*Guangzi Xuebao/Acta Photonica Sinica*,

*38*(8), 2093-2098.

**The spectral degree of cross -polarization of stochastic electromagnetic beams.** / Zhang, Guo Wen; Pu, Ji Xiong; Sahin, Sahin; Korotkova, Olga.

Research output: Contribution to journal › Article

*Guangzi Xuebao/Acta Photonica Sinica*, vol. 38, no. 8, pp. 2093-2098.

}

TY - JOUR

T1 - The spectral degree of cross -polarization of stochastic electromagnetic beams

AU - Zhang, Guo Wen

AU - Pu, Ji Xiong

AU - Sahin, Sahin

AU - Korotkova, Olga

PY - 2009/8

Y1 - 2009/8

N2 - Based on the theory of spectral degree of cross-polarization, the behaviour of spectral degree of cross-polarization of a electromagnetic Gaussian Schell-model beam on propagation is studied. The expressions for the elements of the cross-spectral density matrix the beam propagating in free space for arbitrary two points in the beam has been derived by using the unified theory of coherence and polarization and the extended Heygens-Fresnel integral. The results show that, the degree of cross-polarization of partially coherent electromagnetic beams in free space may take on any nonnegative values, in contrast to the usual degree of polarization which is restricted to the range 0~1. The behavior of the degree of cross-polarization on propagation is determined by all the parameters of the source radiating the beam. At sufficiently large distances from the source the degree of cross-polarization stabilizes for all points within the beam independently of their radial positions. The condition for keeping the degree of cross-polarization invariant is the same as that of the usual degree of polarization.

AB - Based on the theory of spectral degree of cross-polarization, the behaviour of spectral degree of cross-polarization of a electromagnetic Gaussian Schell-model beam on propagation is studied. The expressions for the elements of the cross-spectral density matrix the beam propagating in free space for arbitrary two points in the beam has been derived by using the unified theory of coherence and polarization and the extended Heygens-Fresnel integral. The results show that, the degree of cross-polarization of partially coherent electromagnetic beams in free space may take on any nonnegative values, in contrast to the usual degree of polarization which is restricted to the range 0~1. The behavior of the degree of cross-polarization on propagation is determined by all the parameters of the source radiating the beam. At sufficiently large distances from the source the degree of cross-polarization stabilizes for all points within the beam independently of their radial positions. The condition for keeping the degree of cross-polarization invariant is the same as that of the usual degree of polarization.

KW - Degree of cross-polarization

KW - Free space

KW - Partially coherent electromagnetic beam

KW - Unified theory of coherence and polarization

UR - http://www.scopus.com/inward/record.url?scp=70350230247&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70350230247&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:70350230247

VL - 38

SP - 2093

EP - 2098

JO - Guangzi Xuebao/Acta Photonica Sinica

JF - Guangzi Xuebao/Acta Photonica Sinica

SN - 1004-4213

IS - 8

ER -