### Abstract

Using the fact that a hard-edged rectangular aperture function can be approximated by a two-dimensional multi-Gaussian series, analytic formulas for the elements of the cross-spectral density matrix of a random electromagnetic beam truncated by a rectangular aperture and passing through an axially nonsymmetrical optical system is derived. The analysis is illustrated by numerical examples relating to changes in the spectral degree of polarization of electromagnetic Gaussian Schell-model beams propagating through free space, focal system and dual-focus system. In particular, the effect of the size of the hard aperture on the spectral degree of polarization of the beam along its optical axis is discussed.

Original language | English (US) |
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Pages (from-to) | 4135-4140 |

Number of pages | 6 |

Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |

Volume | 372 |

Issue number | 22 |

DOIs | |

State | Published - May 26 2008 |

### Fingerprint

### Keywords

- Axially nonsymmetrical optical system
- Random electromagnetic beam
- Rectangular aperture

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Physics Letters, Section A: General, Atomic and Solid State Physics*,

*372*(22), 4135-4140. https://doi.org/10.1016/j.physleta.2008.03.004

**Cross-spectral density matrix of a random electromagnetic beam propagating through an apertured axially nonsymmetrical optical system.** / Du, Xinyue; Zhao, Daomu; Korotkova, Olga.

Research output: Contribution to journal › Article

*Physics Letters, Section A: General, Atomic and Solid State Physics*, vol. 372, no. 22, pp. 4135-4140. https://doi.org/10.1016/j.physleta.2008.03.004

}

TY - JOUR

T1 - Cross-spectral density matrix of a random electromagnetic beam propagating through an apertured axially nonsymmetrical optical system

AU - Du, Xinyue

AU - Zhao, Daomu

AU - Korotkova, Olga

PY - 2008/5/26

Y1 - 2008/5/26

N2 - Using the fact that a hard-edged rectangular aperture function can be approximated by a two-dimensional multi-Gaussian series, analytic formulas for the elements of the cross-spectral density matrix of a random electromagnetic beam truncated by a rectangular aperture and passing through an axially nonsymmetrical optical system is derived. The analysis is illustrated by numerical examples relating to changes in the spectral degree of polarization of electromagnetic Gaussian Schell-model beams propagating through free space, focal system and dual-focus system. In particular, the effect of the size of the hard aperture on the spectral degree of polarization of the beam along its optical axis is discussed.

AB - Using the fact that a hard-edged rectangular aperture function can be approximated by a two-dimensional multi-Gaussian series, analytic formulas for the elements of the cross-spectral density matrix of a random electromagnetic beam truncated by a rectangular aperture and passing through an axially nonsymmetrical optical system is derived. The analysis is illustrated by numerical examples relating to changes in the spectral degree of polarization of electromagnetic Gaussian Schell-model beams propagating through free space, focal system and dual-focus system. In particular, the effect of the size of the hard aperture on the spectral degree of polarization of the beam along its optical axis is discussed.

KW - Axially nonsymmetrical optical system

KW - Random electromagnetic beam

KW - Rectangular aperture

UR - http://www.scopus.com/inward/record.url?scp=43049099254&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=43049099254&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2008.03.004

DO - 10.1016/j.physleta.2008.03.004

M3 - Article

AN - SCOPUS:43049099254

VL - 372

SP - 4135

EP - 4140

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 22

ER -